%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV424-1.100 : TPTP v9.0.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:33:52 AM UTC 2025
% Result : Unsatisfiable 0.67s 0.83s
% Output : Proof 1.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV424-1.100 : TPTP v9.0.0. Released v3.5.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 09:51:35 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.67/0.83 % SZS status Unsatisfiable
% 0.67/0.83 % SZS output start Proof
% 0.67/0.83 tff(trans_type, type, (
% 0.67/0.83 trans: ( $i * $i ) > $o)).
% 0.67/0.83 tff(s15_type, type, (
% 0.67/0.83 s15: $i)).
% 0.67/0.83 tff(s99_type, type, (
% 0.67/0.83 s99: $i)).
% 0.67/0.83 tff(always3_type, type, (
% 0.67/0.83 always3: $i > $o)).
% 0.67/0.83 tff(s16_type, type, (
% 0.67/0.83 s16: $i)).
% 0.67/0.83 tff(s17_type, type, (
% 0.67/0.83 s17: $i)).
% 0.67/0.83 tff(s18_type, type, (
% 0.67/0.83 s18: $i)).
% 0.67/0.83 tff(s19_type, type, (
% 0.67/0.83 s19: $i)).
% 0.67/0.83 tff(s20_type, type, (
% 0.67/0.83 s20: $i)).
% 0.67/0.83 tff(s21_type, type, (
% 0.67/0.83 s21: $i)).
% 0.67/0.83 tff(s22_type, type, (
% 0.67/0.83 s22: $i)).
% 0.67/0.83 tff(s23_type, type, (
% 0.67/0.83 s23: $i)).
% 0.67/0.83 tff(s24_type, type, (
% 0.67/0.83 s24: $i)).
% 0.67/0.83 tff(s25_type, type, (
% 0.67/0.83 s25: $i)).
% 0.67/0.83 tff(s26_type, type, (
% 0.67/0.83 s26: $i)).
% 0.67/0.83 tff(s27_type, type, (
% 0.67/0.83 s27: $i)).
% 0.67/0.83 tff(s28_type, type, (
% 0.67/0.83 s28: $i)).
% 0.67/0.83 tff(s29_type, type, (
% 0.67/0.83 s29: $i)).
% 0.67/0.83 tff(s30_type, type, (
% 0.67/0.83 s30: $i)).
% 0.67/0.83 tff(s31_type, type, (
% 0.67/0.83 s31: $i)).
% 0.67/0.83 tff(s32_type, type, (
% 0.67/0.83 s32: $i)).
% 0.67/0.83 tff(s33_type, type, (
% 0.67/0.83 s33: $i)).
% 0.67/0.83 tff(s34_type, type, (
% 0.67/0.83 s34: $i)).
% 0.67/0.83 tff(s35_type, type, (
% 0.67/0.83 s35: $i)).
% 0.67/0.83 tff(s36_type, type, (
% 0.67/0.83 s36: $i)).
% 0.67/0.83 tff(s37_type, type, (
% 0.67/0.83 s37: $i)).
% 0.67/0.83 tff(s38_type, type, (
% 0.67/0.83 s38: $i)).
% 0.67/0.83 tff(s39_type, type, (
% 0.67/0.83 s39: $i)).
% 0.67/0.83 tff(s40_type, type, (
% 0.67/0.83 s40: $i)).
% 0.67/0.83 tff(s41_type, type, (
% 0.67/0.83 s41: $i)).
% 0.67/0.83 tff(s42_type, type, (
% 0.67/0.83 s42: $i)).
% 0.67/0.83 tff(s43_type, type, (
% 0.67/0.83 s43: $i)).
% 0.67/0.83 tff(s44_type, type, (
% 0.67/0.83 s44: $i)).
% 0.67/0.83 tff(s45_type, type, (
% 0.67/0.83 s45: $i)).
% 0.67/0.83 tff(s46_type, type, (
% 0.67/0.83 s46: $i)).
% 0.67/0.83 tff(s47_type, type, (
% 0.67/0.83 s47: $i)).
% 0.67/0.83 tff(s48_type, type, (
% 0.67/0.83 s48: $i)).
% 0.67/0.83 tff(s49_type, type, (
% 0.67/0.83 s49: $i)).
% 0.67/0.83 tff(s50_type, type, (
% 0.67/0.83 s50: $i)).
% 0.67/0.83 tff(s51_type, type, (
% 0.67/0.83 s51: $i)).
% 0.67/0.83 tff(s52_type, type, (
% 0.67/0.83 s52: $i)).
% 0.67/0.83 tff(s53_type, type, (
% 0.67/0.83 s53: $i)).
% 0.67/0.83 tff(s54_type, type, (
% 0.67/0.83 s54: $i)).
% 0.67/0.83 tff(s55_type, type, (
% 0.67/0.83 s55: $i)).
% 0.67/0.83 tff(s56_type, type, (
% 0.67/0.83 s56: $i)).
% 0.67/0.83 tff(s57_type, type, (
% 0.67/0.83 s57: $i)).
% 0.67/0.83 tff(s58_type, type, (
% 0.67/0.83 s58: $i)).
% 0.67/0.83 tff(s59_type, type, (
% 0.67/0.83 s59: $i)).
% 0.67/0.83 tff(s60_type, type, (
% 0.67/0.83 s60: $i)).
% 0.67/0.83 tff(s61_type, type, (
% 0.67/0.83 s61: $i)).
% 0.67/0.83 tff(s62_type, type, (
% 0.67/0.83 s62: $i)).
% 0.67/0.83 tff(s63_type, type, (
% 0.67/0.83 s63: $i)).
% 0.67/0.83 tff(s64_type, type, (
% 0.67/0.83 s64: $i)).
% 0.67/0.83 tff(s65_type, type, (
% 0.67/0.83 s65: $i)).
% 0.67/0.83 tff(m_main_v_state_type, type, (
% 0.67/0.83 m_main_v_state: ( $i * $i ) > $o)).
% 0.67/0.83 tff(c_busy_type, type, (
% 0.67/0.83 c_busy: $i)).
% 0.67/0.83 tff(node2_type, type, (
% 0.67/0.83 node2: ( $i * $i ) > $o)).
% 0.67/0.83 tff(s4_type, type, (
% 0.67/0.83 s4: $i)).
% 0.67/0.83 tff(s12_type, type, (
% 0.67/0.83 s12: $i)).
% 0.67/0.83 tff(m_main_v_request_type, type, (
% 0.67/0.83 m_main_v_request: $i > $o)).
% 0.67/0.83 tff(node4_type, type, (
% 0.67/0.83 node4: $i > $o)).
% 0.67/0.83 tff(s74_type, type, (
% 0.67/0.83 s74: $i)).
% 0.67/0.83 tff(s75_type, type, (
% 0.67/0.83 s75: $i)).
% 0.67/0.83 tff(s73_type, type, (
% 0.67/0.83 s73: $i)).
% 0.67/0.83 tff(s72_type, type, (
% 0.67/0.83 s72: $i)).
% 0.67/0.83 tff(s71_type, type, (
% 0.67/0.83 s71: $i)).
% 0.67/0.83 tff(s70_type, type, (
% 0.67/0.83 s70: $i)).
% 0.67/0.83 tff(s69_type, type, (
% 0.67/0.83 s69: $i)).
% 0.67/0.83 tff(s68_type, type, (
% 0.67/0.83 s68: $i)).
% 0.67/0.83 tff(s67_type, type, (
% 0.67/0.83 s67: $i)).
% 0.67/0.83 tff(s66_type, type, (
% 0.67/0.83 s66: $i)).
% 0.67/0.83 tff(s92_type, type, (
% 0.67/0.83 s92: $i)).
% 0.67/0.83 tff(c_ready_type, type, (
% 0.67/0.83 c_ready: $i)).
% 0.67/0.83 tff(succ_type, type, (
% 0.67/0.83 succ: ( $i * $i ) > $o)).
% 0.67/0.83 tff(xuntil6_type, type, (
% 0.67/0.83 xuntil6: $i > $o)).
% 0.67/0.83 tff(until5_type, type, (
% 0.67/0.83 until5: $i > $o)).
% 0.67/0.83 tff(s93_type, type, (
% 0.67/0.83 s93: $i)).
% 0.67/0.83 tff(s94_type, type, (
% 0.67/0.83 s94: $i)).
% 0.67/0.83 tff(s95_type, type, (
% 0.67/0.83 s95: $i)).
% 0.67/0.83 tff(s96_type, type, (
% 0.67/0.83 s96: $i)).
% 0.67/0.83 tff(s97_type, type, (
% 0.67/0.83 s97: $i)).
% 0.67/0.83 tff(s98_type, type, (
% 0.67/0.83 s98: $i)).
% 0.67/0.83 tff(s76_type, type, (
% 0.67/0.83 s76: $i)).
% 0.67/0.83 tff(s77_type, type, (
% 0.67/0.83 s77: $i)).
% 0.67/0.83 tff(s78_type, type, (
% 0.67/0.83 s78: $i)).
% 0.67/0.83 tff(s79_type, type, (
% 0.67/0.83 s79: $i)).
% 0.67/0.83 tff(s80_type, type, (
% 0.67/0.83 s80: $i)).
% 0.67/0.83 tff(s81_type, type, (
% 0.67/0.83 s81: $i)).
% 0.67/0.83 tff(s82_type, type, (
% 0.67/0.83 s82: $i)).
% 0.67/0.83 tff(s83_type, type, (
% 0.67/0.83 s83: $i)).
% 0.67/0.83 tff(s84_type, type, (
% 0.67/0.83 s84: $i)).
% 0.67/0.83 tff(s85_type, type, (
% 0.67/0.83 s85: $i)).
% 0.67/0.83 tff(s86_type, type, (
% 0.67/0.83 s86: $i)).
% 0.67/0.83 tff(s87_type, type, (
% 0.67/0.83 s87: $i)).
% 0.67/0.83 tff(s88_type, type, (
% 0.67/0.83 s88: $i)).
% 0.67/0.83 tff(s89_type, type, (
% 0.67/0.83 s89: $i)).
% 0.67/0.83 tff(s90_type, type, (
% 0.67/0.83 s90: $i)).
% 0.67/0.83 tff(s91_type, type, (
% 0.67/0.83 s91: $i)).
% 0.67/0.83 tff(s14_type, type, (
% 0.67/0.83 s14: $i)).
% 0.67/0.83 tff(s13_type, type, (
% 0.67/0.83 s13: $i)).
% 0.67/0.83 tff(s11_type, type, (
% 0.67/0.83 s11: $i)).
% 0.67/0.83 tff(s10_type, type, (
% 0.67/0.83 s10: $i)).
% 0.67/0.83 tff(s9_type, type, (
% 0.67/0.83 s9: $i)).
% 0.67/0.83 tff(s8_type, type, (
% 0.67/0.83 s8: $i)).
% 0.67/0.83 tff(s7_type, type, (
% 0.67/0.83 s7: $i)).
% 0.67/0.83 tff(s6_type, type, (
% 0.67/0.83 s6: $i)).
% 0.67/0.83 tff(s5_type, type, (
% 0.67/0.83 s5: $i)).
% 0.67/0.83 tff(s3_type, type, (
% 0.67/0.83 s3: $i)).
% 0.67/0.83 tff(s2_type, type, (
% 0.67/0.83 s2: $i)).
% 0.67/0.83 tff(s1_type, type, (
% 0.67/0.83 s1: $i)).
% 0.67/0.83 tff(s0_type, type, (
% 0.67/0.83 s0: $i)).
% 0.67/0.83 tff(until2p7_type, type, (
% 0.67/0.83 until2p7: $i > $o)).
% 0.67/0.83 tff(xuntil2p8_type, type, (
% 0.67/0.83 xuntil2p8: $i > $o)).
% 0.67/0.83 tff(last_type, type, (
% 0.67/0.83 last: $i > $o)).
% 0.67/0.83 tff(loop_type, type, (
% 0.67/0.83 loop: $o)).
% 0.67/0.83 tff(node1_type, type, (
% 0.67/0.83 node1: $i > $o)).
% 0.67/0.83 tff(1,plain,
% 0.67/0.83 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node2(X, Y)) <=> ((~trans(X, Y)) | node2(X, Y)))),
% 0.67/0.83 inference(bind,[status(th)],[])).
% 0.67/0.83 tff(2,plain,
% 0.67/0.83 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 0.67/0.83 inference(quant_intro,[status(thm)],[1])).
% 0.67/0.83 tff(3,plain,
% 0.67/0.83 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 0.67/0.83 inference(rewrite,[status(thm)],[])).
% 0.67/0.83 tff(4,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_8')).
% 0.67/0.83 tff(5,plain,
% 0.67/0.83 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.67/0.83 tff(6,plain,(
% 0.67/0.83 ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 0.67/0.83 inference(skolemize,[status(sab)],[5])).
% 0.67/0.83 tff(7,plain,
% 0.67/0.83 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.67/0.83 tff(8,assumption,(~m_main_v_state(s65, c_busy)), introduced(assumption)).
% 0.67/0.83 tff(9,assumption,(~m_main_v_state(s65, c_ready)), introduced(assumption)).
% 0.67/0.83 tff(10,plain,
% 0.67/0.83 (^[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)))),
% 0.67/0.83 inference(bind,[status(th)],[])).
% 0.67/0.83 tff(11,plain,
% 0.67/0.83 (![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))),
% 0.67/0.83 inference(quant_intro,[status(thm)],[10])).
% 0.67/0.83 tff(12,plain,
% 0.67/0.83 (![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))),
% 0.67/0.83 inference(rewrite,[status(thm)],[])).
% 0.67/0.83 tff(13,plain,
% 0.67/0.83 (^[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)))),
% 0.67/0.83 inference(bind,[status(th)],[])).
% 0.67/0.83 tff(14,plain,
% 0.67/0.83 (![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))),
% 0.67/0.83 inference(quant_intro,[status(thm)],[13])).
% 0.67/0.83 tff(15,axiom,(![X: $i] : (m_main_v_state(X, c_ready) | m_main_v_state(X, c_busy))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_1')).
% 0.67/0.83 tff(16,plain,
% 0.67/0.83 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.67/0.83 tff(17,plain,
% 0.67/0.83 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.67/0.83 tff(18,plain,(
% 0.67/0.83 ![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 0.67/0.83 inference(skolemize,[status(sab)],[17])).
% 0.67/0.83 tff(19,plain,
% 0.67/0.83 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.67/0.83 tff(20,plain,
% 0.67/0.83 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s65, c_busy) | m_main_v_state(s65, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s65, c_busy) | m_main_v_state(s65, c_ready))),
% 0.67/0.83 inference(rewrite,[status(thm)],[])).
% 0.67/0.83 tff(21,plain,
% 0.67/0.83 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s65, c_busy) | m_main_v_state(s65, c_ready))),
% 0.67/0.83 inference(quant_inst,[status(thm)],[])).
% 0.67/0.83 tff(22,plain,
% 0.67/0.83 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s65, c_busy) | m_main_v_state(s65, c_ready)),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.67/0.83 tff(23,plain,
% 0.67/0.83 ($false),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[22, 19, 8, 9])).
% 0.67/0.83 tff(24,plain,(m_main_v_state(s65, c_ready) | m_main_v_state(s65, c_busy)), inference(lemma,lemma(discharge,[]))).
% 0.67/0.83 tff(25,plain,
% 0.67/0.83 (m_main_v_state(s65, c_ready)),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[24, 8])).
% 0.67/0.83 tff(26,assumption,(~always3(s48)), introduced(assumption)).
% 0.67/0.83 tff(27,plain,
% 0.67/0.83 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 0.67/0.83 inference(bind,[status(th)],[])).
% 0.67/0.83 tff(28,plain,
% 0.67/0.83 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.67/0.83 inference(quant_intro,[status(thm)],[27])).
% 0.67/0.83 tff(29,plain,
% 0.67/0.83 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.67/0.83 inference(rewrite,[status(thm)],[])).
% 0.67/0.83 tff(30,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound101')).
% 0.67/0.83 tff(31,plain,
% 0.67/0.83 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.67/0.83 tff(32,plain,(
% 0.67/0.83 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.67/0.83 inference(skolemize,[status(sab)],[31])).
% 0.67/0.83 tff(33,plain,
% 0.67/0.83 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.67/0.83 tff(34,plain,
% 0.67/0.83 (succ(s47, s48) <=> succ(s47, s48)),
% 0.67/0.83 inference(rewrite,[status(thm)],[])).
% 0.67/0.83 tff(35,axiom,(succ(s47, s48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound48')).
% 0.67/0.83 tff(36,plain,
% 0.67/0.83 (succ(s47, s48)),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.67/0.83 tff(37,plain,
% 0.67/0.83 (((~![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))),
% 0.67/0.83 inference(rewrite,[status(thm)],[])).
% 0.67/0.83 tff(38,plain,
% 0.67/0.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))),
% 0.67/0.83 inference(quant_inst,[status(thm)],[])).
% 0.67/0.83 tff(39,plain,
% 0.67/0.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48)),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.67/0.83 tff(40,plain,
% 0.67/0.83 (trans(s47, s48)),
% 0.67/0.83 inference(unit_resolution,[status(thm)],[39, 36, 33])).
% 0.67/0.83 tff(41,plain,
% 0.67/0.83 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ((~trans(X, Y)) | (~always3(X)) | always3(Y)))),
% 0.67/0.83 inference(bind,[status(th)],[])).
% 0.67/0.83 tff(42,plain,
% 0.67/0.83 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 0.67/0.83 inference(quant_intro,[status(thm)],[41])).
% 0.67/0.83 tff(43,plain,
% 0.67/0.83 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 0.67/0.83 inference(rewrite,[status(thm)],[])).
% 0.67/0.83 tff(44,plain,
% 0.67/0.83 (^[Y: $i, X: $i] : rewrite(((always3(Y) | (~trans(X, Y))) | (~always3(X))) <=> ((~trans(X, Y)) | (~always3(X)) | always3(Y)))),
% 0.67/0.83 inference(bind,[status(th)],[])).
% 0.67/0.83 tff(45,plain,
% 0.67/0.83 (![Y: $i, X: $i] : ((always3(Y) | (~trans(X, Y))) | (~always3(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 0.67/0.83 inference(quant_intro,[status(thm)],[44])).
% 0.67/0.83 tff(46,axiom,(![Y: $i, X: $i] : ((always3(Y) | (~trans(X, Y))) | (~always3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty2')).
% 0.67/0.83 tff(47,plain,
% 0.67/0.83 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.67/0.83 tff(48,plain,
% 0.67/0.83 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[47, 43])).
% 0.67/0.83 tff(49,plain,(
% 0.67/0.83 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 0.67/0.83 inference(skolemize,[status(sab)],[48])).
% 0.67/0.83 tff(50,plain,
% 0.67/0.83 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 0.67/0.83 inference(modus_ponens,[status(thm)],[49, 42])).
% 0.67/0.83 tff(51,plain,
% 0.67/0.83 (((~![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))),
% 0.67/0.83 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(52,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s47, s48)) | (~always3(s47)) | always3(s48))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(53,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s47, s48)) | (~always3(s47)) | always3(s48)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.67/0.84 tff(54,plain,
% 0.67/0.84 ((~always3(s47)) | always3(s48)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[53, 50, 40])).
% 0.67/0.84 tff(55,plain,
% 0.67/0.84 (~always3(s47)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[54, 26])).
% 0.67/0.84 tff(56,plain,
% 0.67/0.84 (succ(s46, s47) <=> succ(s46, s47)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(57,axiom,(succ(s46, s47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound47')).
% 0.67/0.84 tff(58,plain,
% 0.67/0.84 (succ(s46, s47)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.67/0.84 tff(59,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(60,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(61,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.67/0.84 tff(62,plain,
% 0.67/0.84 (trans(s46, s47)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[61, 58, 33])).
% 0.67/0.84 tff(63,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(64,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s46, s47)) | (~always3(s46)) | always3(s47))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(65,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s46, s47)) | (~always3(s46)) | always3(s47)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.67/0.84 tff(66,plain,
% 0.67/0.84 ((~always3(s46)) | always3(s47)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[65, 50, 62])).
% 0.67/0.84 tff(67,plain,
% 0.67/0.84 (~always3(s46)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[66, 55])).
% 0.67/0.84 tff(68,plain,
% 0.67/0.84 (succ(s45, s46) <=> succ(s45, s46)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(69,axiom,(succ(s45, s46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound46')).
% 0.67/0.84 tff(70,plain,
% 0.67/0.84 (succ(s45, s46)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.67/0.84 tff(71,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(72,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(73,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.67/0.84 tff(74,plain,
% 0.67/0.84 (trans(s45, s46)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[73, 70, 33])).
% 0.67/0.84 tff(75,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(76,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s45, s46)) | (~always3(s45)) | always3(s46))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(77,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s45, s46)) | (~always3(s45)) | always3(s46)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.67/0.84 tff(78,plain,
% 0.67/0.84 ((~always3(s45)) | always3(s46)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[77, 50, 74])).
% 0.67/0.84 tff(79,plain,
% 0.67/0.84 (~always3(s45)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[78, 67])).
% 0.67/0.84 tff(80,plain,
% 0.67/0.84 (succ(s44, s45) <=> succ(s44, s45)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(81,axiom,(succ(s44, s45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound45')).
% 0.67/0.84 tff(82,plain,
% 0.67/0.84 (succ(s44, s45)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.67/0.84 tff(83,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(84,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(85,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.67/0.84 tff(86,plain,
% 0.67/0.84 (trans(s44, s45)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[85, 82, 33])).
% 0.67/0.84 tff(87,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(88,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s44, s45)) | (~always3(s44)) | always3(s45))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(89,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s44, s45)) | (~always3(s44)) | always3(s45)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.67/0.84 tff(90,plain,
% 0.67/0.84 ((~always3(s44)) | always3(s45)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[89, 50, 86])).
% 0.67/0.84 tff(91,plain,
% 0.67/0.84 (~always3(s44)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[90, 79])).
% 0.67/0.84 tff(92,plain,
% 0.67/0.84 (succ(s43, s44) <=> succ(s43, s44)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(93,axiom,(succ(s43, s44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound44')).
% 0.67/0.84 tff(94,plain,
% 0.67/0.84 (succ(s43, s44)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.67/0.84 tff(95,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(96,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(97,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.67/0.84 tff(98,plain,
% 0.67/0.84 (trans(s43, s44)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[97, 94, 33])).
% 0.67/0.84 tff(99,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(100,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s43, s44)) | (~always3(s43)) | always3(s44))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(101,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s43, s44)) | (~always3(s43)) | always3(s44)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.67/0.84 tff(102,plain,
% 0.67/0.84 ((~always3(s43)) | always3(s44)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[101, 50, 98])).
% 0.67/0.84 tff(103,plain,
% 0.67/0.84 (~always3(s43)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[102, 91])).
% 0.67/0.84 tff(104,plain,
% 0.67/0.84 (succ(s42, s43) <=> succ(s42, s43)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(105,axiom,(succ(s42, s43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound43')).
% 0.67/0.84 tff(106,plain,
% 0.67/0.84 (succ(s42, s43)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.67/0.84 tff(107,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(108,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(109,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.67/0.84 tff(110,plain,
% 0.67/0.84 (trans(s42, s43)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[109, 106, 33])).
% 0.67/0.84 tff(111,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(112,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s42, s43)) | (~always3(s42)) | always3(s43))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(113,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s42, s43)) | (~always3(s42)) | always3(s43)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.67/0.84 tff(114,plain,
% 0.67/0.84 ((~always3(s42)) | always3(s43)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[113, 50, 110])).
% 0.67/0.84 tff(115,plain,
% 0.67/0.84 (~always3(s42)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[114, 103])).
% 0.67/0.84 tff(116,plain,
% 0.67/0.84 (succ(s41, s42) <=> succ(s41, s42)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(117,axiom,(succ(s41, s42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound42')).
% 0.67/0.84 tff(118,plain,
% 0.67/0.84 (succ(s41, s42)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.67/0.84 tff(119,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(120,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(121,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[120, 119])).
% 0.67/0.84 tff(122,plain,
% 0.67/0.84 (trans(s41, s42)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[121, 118, 33])).
% 0.67/0.84 tff(123,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(124,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s41, s42)) | (~always3(s41)) | always3(s42))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(125,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s41, s42)) | (~always3(s41)) | always3(s42)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.67/0.84 tff(126,plain,
% 0.67/0.84 ((~always3(s41)) | always3(s42)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[125, 50, 122])).
% 0.67/0.84 tff(127,plain,
% 0.67/0.84 (~always3(s41)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[126, 115])).
% 0.67/0.84 tff(128,plain,
% 0.67/0.84 (succ(s40, s41) <=> succ(s40, s41)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(129,axiom,(succ(s40, s41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound41')).
% 0.67/0.84 tff(130,plain,
% 0.67/0.84 (succ(s40, s41)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[129, 128])).
% 0.67/0.84 tff(131,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(132,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(133,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.67/0.84 tff(134,plain,
% 0.67/0.84 (trans(s40, s41)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[133, 130, 33])).
% 0.67/0.84 tff(135,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(136,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s40, s41)) | (~always3(s40)) | always3(s41))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(137,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s40, s41)) | (~always3(s40)) | always3(s41)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.67/0.84 tff(138,plain,
% 0.67/0.84 ((~always3(s40)) | always3(s41)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[137, 50, 134])).
% 0.67/0.84 tff(139,plain,
% 0.67/0.84 (~always3(s40)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[138, 127])).
% 0.67/0.84 tff(140,plain,
% 0.67/0.84 (succ(s39, s40) <=> succ(s39, s40)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(141,axiom,(succ(s39, s40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound40')).
% 0.67/0.84 tff(142,plain,
% 0.67/0.84 (succ(s39, s40)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.67/0.84 tff(143,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(144,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(145,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.67/0.84 tff(146,plain,
% 0.67/0.84 (trans(s39, s40)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[145, 142, 33])).
% 0.67/0.84 tff(147,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(148,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s39, s40)) | (~always3(s39)) | always3(s40))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(149,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s39, s40)) | (~always3(s39)) | always3(s40)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.67/0.84 tff(150,plain,
% 0.67/0.84 ((~always3(s39)) | always3(s40)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[149, 50, 146])).
% 0.67/0.84 tff(151,plain,
% 0.67/0.84 (~always3(s39)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[150, 139])).
% 0.67/0.84 tff(152,plain,
% 0.67/0.84 (succ(s38, s39) <=> succ(s38, s39)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(153,axiom,(succ(s38, s39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound39')).
% 0.67/0.84 tff(154,plain,
% 0.67/0.84 (succ(s38, s39)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.67/0.84 tff(155,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(156,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(157,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[156, 155])).
% 0.67/0.84 tff(158,plain,
% 0.67/0.84 (trans(s38, s39)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[157, 154, 33])).
% 0.67/0.84 tff(159,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(160,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s38, s39)) | (~always3(s38)) | always3(s39))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(161,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s38, s39)) | (~always3(s38)) | always3(s39)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.67/0.84 tff(162,plain,
% 0.67/0.84 ((~always3(s38)) | always3(s39)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[161, 50, 158])).
% 0.67/0.84 tff(163,plain,
% 0.67/0.84 (~always3(s38)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[162, 151])).
% 0.67/0.84 tff(164,plain,
% 0.67/0.84 (succ(s37, s38) <=> succ(s37, s38)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(165,axiom,(succ(s37, s38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound38')).
% 0.67/0.84 tff(166,plain,
% 0.67/0.84 (succ(s37, s38)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[165, 164])).
% 0.67/0.84 tff(167,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(168,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(169,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[168, 167])).
% 0.67/0.84 tff(170,plain,
% 0.67/0.84 (trans(s37, s38)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[169, 166, 33])).
% 0.67/0.84 tff(171,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(172,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s37, s38)) | (~always3(s37)) | always3(s38))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(173,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s37, s38)) | (~always3(s37)) | always3(s38)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.67/0.84 tff(174,plain,
% 0.67/0.84 ((~always3(s37)) | always3(s38)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[173, 50, 170])).
% 0.67/0.84 tff(175,plain,
% 0.67/0.84 (~always3(s37)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[174, 163])).
% 0.67/0.84 tff(176,plain,
% 0.67/0.84 (succ(s36, s37) <=> succ(s36, s37)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(177,axiom,(succ(s36, s37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound37')).
% 0.67/0.84 tff(178,plain,
% 0.67/0.84 (succ(s36, s37)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.67/0.84 tff(179,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(180,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(181,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[180, 179])).
% 0.67/0.84 tff(182,plain,
% 0.67/0.84 (trans(s36, s37)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[181, 178, 33])).
% 0.67/0.84 tff(183,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(184,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s36, s37)) | (~always3(s36)) | always3(s37))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(185,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s36, s37)) | (~always3(s36)) | always3(s37)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[184, 183])).
% 0.67/0.84 tff(186,plain,
% 0.67/0.84 ((~always3(s36)) | always3(s37)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[185, 50, 182])).
% 0.67/0.84 tff(187,plain,
% 0.67/0.84 (~always3(s36)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[186, 175])).
% 0.67/0.84 tff(188,plain,
% 0.67/0.84 (succ(s35, s36) <=> succ(s35, s36)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(189,axiom,(succ(s35, s36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound36')).
% 0.67/0.84 tff(190,plain,
% 0.67/0.84 (succ(s35, s36)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[189, 188])).
% 0.67/0.84 tff(191,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(192,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(193,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[192, 191])).
% 0.67/0.84 tff(194,plain,
% 0.67/0.84 (trans(s35, s36)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[193, 190, 33])).
% 0.67/0.84 tff(195,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(196,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s35, s36)) | (~always3(s35)) | always3(s36))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(197,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s35, s36)) | (~always3(s35)) | always3(s36)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[196, 195])).
% 0.67/0.84 tff(198,plain,
% 0.67/0.84 ((~always3(s35)) | always3(s36)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[197, 50, 194])).
% 0.67/0.84 tff(199,plain,
% 0.67/0.84 (~always3(s35)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[198, 187])).
% 0.67/0.84 tff(200,plain,
% 0.67/0.84 (succ(s34, s35) <=> succ(s34, s35)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(201,axiom,(succ(s34, s35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound35')).
% 0.67/0.84 tff(202,plain,
% 0.67/0.84 (succ(s34, s35)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[201, 200])).
% 0.67/0.84 tff(203,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(204,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(205,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[204, 203])).
% 0.67/0.84 tff(206,plain,
% 0.67/0.84 (trans(s34, s35)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[205, 202, 33])).
% 0.67/0.84 tff(207,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(208,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s34, s35)) | (~always3(s34)) | always3(s35))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(209,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s34, s35)) | (~always3(s34)) | always3(s35)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[208, 207])).
% 0.67/0.84 tff(210,plain,
% 0.67/0.84 ((~always3(s34)) | always3(s35)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[209, 50, 206])).
% 0.67/0.84 tff(211,plain,
% 0.67/0.84 (~always3(s34)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[210, 199])).
% 0.67/0.84 tff(212,plain,
% 0.67/0.84 (succ(s33, s34) <=> succ(s33, s34)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(213,axiom,(succ(s33, s34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound34')).
% 0.67/0.84 tff(214,plain,
% 0.67/0.84 (succ(s33, s34)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[213, 212])).
% 0.67/0.84 tff(215,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(216,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(217,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[216, 215])).
% 0.67/0.84 tff(218,plain,
% 0.67/0.84 (trans(s33, s34)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[217, 214, 33])).
% 0.67/0.84 tff(219,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(220,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s33, s34)) | (~always3(s33)) | always3(s34))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(221,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s33, s34)) | (~always3(s33)) | always3(s34)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[220, 219])).
% 0.67/0.84 tff(222,plain,
% 0.67/0.84 ((~always3(s33)) | always3(s34)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[221, 50, 218])).
% 0.67/0.84 tff(223,plain,
% 0.67/0.84 (~always3(s33)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[222, 211])).
% 0.67/0.84 tff(224,plain,
% 0.67/0.84 (succ(s32, s33) <=> succ(s32, s33)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(225,axiom,(succ(s32, s33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound33')).
% 0.67/0.84 tff(226,plain,
% 0.67/0.84 (succ(s32, s33)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[225, 224])).
% 0.67/0.84 tff(227,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(228,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(229,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.67/0.84 tff(230,plain,
% 0.67/0.84 (trans(s32, s33)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[229, 226, 33])).
% 0.67/0.84 tff(231,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(232,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s32, s33)) | (~always3(s32)) | always3(s33))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(233,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s32, s33)) | (~always3(s32)) | always3(s33)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[232, 231])).
% 0.67/0.84 tff(234,plain,
% 0.67/0.84 ((~always3(s32)) | always3(s33)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[233, 50, 230])).
% 0.67/0.84 tff(235,plain,
% 0.67/0.84 (~always3(s32)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[234, 223])).
% 0.67/0.84 tff(236,plain,
% 0.67/0.84 (succ(s31, s32) <=> succ(s31, s32)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(237,axiom,(succ(s31, s32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound32')).
% 0.67/0.84 tff(238,plain,
% 0.67/0.84 (succ(s31, s32)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[237, 236])).
% 0.67/0.84 tff(239,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(240,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(241,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[240, 239])).
% 0.67/0.84 tff(242,plain,
% 0.67/0.84 (trans(s31, s32)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[241, 238, 33])).
% 0.67/0.84 tff(243,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(244,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s31, s32)) | (~always3(s31)) | always3(s32))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(245,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s31, s32)) | (~always3(s31)) | always3(s32)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[244, 243])).
% 0.67/0.84 tff(246,plain,
% 0.67/0.84 ((~always3(s31)) | always3(s32)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[245, 50, 242])).
% 0.67/0.84 tff(247,plain,
% 0.67/0.84 (~always3(s31)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[246, 235])).
% 0.67/0.84 tff(248,plain,
% 0.67/0.84 (succ(s30, s31) <=> succ(s30, s31)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(249,axiom,(succ(s30, s31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound31')).
% 0.67/0.84 tff(250,plain,
% 0.67/0.84 (succ(s30, s31)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[249, 248])).
% 0.67/0.84 tff(251,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(252,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(253,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[252, 251])).
% 0.67/0.84 tff(254,plain,
% 0.67/0.84 (trans(s30, s31)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[253, 250, 33])).
% 0.67/0.84 tff(255,plain,
% 0.67/0.84 (((~![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))),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(256,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s30, s31)) | (~always3(s30)) | always3(s31))),
% 0.67/0.84 inference(quant_inst,[status(thm)],[])).
% 0.67/0.84 tff(257,plain,
% 0.67/0.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s30, s31)) | (~always3(s30)) | always3(s31)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.67/0.84 tff(258,plain,
% 0.67/0.84 ((~always3(s30)) | always3(s31)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[257, 50, 254])).
% 0.67/0.84 tff(259,plain,
% 0.67/0.84 (~always3(s30)),
% 0.67/0.84 inference(unit_resolution,[status(thm)],[258, 247])).
% 0.67/0.84 tff(260,plain,
% 0.67/0.84 (succ(s29, s30) <=> succ(s29, s30)),
% 0.67/0.84 inference(rewrite,[status(thm)],[])).
% 0.67/0.84 tff(261,axiom,(succ(s29, s30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound30')).
% 0.67/0.84 tff(262,plain,
% 0.67/0.84 (succ(s29, s30)),
% 0.67/0.84 inference(modus_ponens,[status(thm)],[261, 260])).
% 0.67/0.85 tff(263,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(264,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(265,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[264, 263])).
% 0.67/0.85 tff(266,plain,
% 0.67/0.85 (trans(s29, s30)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[265, 262, 33])).
% 0.67/0.85 tff(267,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(268,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s29, s30)) | (~always3(s29)) | always3(s30))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(269,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s29, s30)) | (~always3(s29)) | always3(s30)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[268, 267])).
% 0.67/0.85 tff(270,plain,
% 0.67/0.85 ((~always3(s29)) | always3(s30)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[269, 50, 266])).
% 0.67/0.85 tff(271,plain,
% 0.67/0.85 (~always3(s29)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[270, 259])).
% 0.67/0.85 tff(272,plain,
% 0.67/0.85 (succ(s28, s29) <=> succ(s28, s29)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(273,axiom,(succ(s28, s29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound29')).
% 0.67/0.85 tff(274,plain,
% 0.67/0.85 (succ(s28, s29)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[273, 272])).
% 0.67/0.85 tff(275,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(276,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(277,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[276, 275])).
% 0.67/0.85 tff(278,plain,
% 0.67/0.85 (trans(s28, s29)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[277, 274, 33])).
% 0.67/0.85 tff(279,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(280,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s28, s29)) | (~always3(s28)) | always3(s29))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(281,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s28, s29)) | (~always3(s28)) | always3(s29)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[280, 279])).
% 0.67/0.85 tff(282,plain,
% 0.67/0.85 ((~always3(s28)) | always3(s29)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[281, 50, 278])).
% 0.67/0.85 tff(283,plain,
% 0.67/0.85 (~always3(s28)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[282, 271])).
% 0.67/0.85 tff(284,plain,
% 0.67/0.85 (succ(s27, s28) <=> succ(s27, s28)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(285,axiom,(succ(s27, s28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound28')).
% 0.67/0.85 tff(286,plain,
% 0.67/0.85 (succ(s27, s28)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[285, 284])).
% 0.67/0.85 tff(287,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(288,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(289,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[288, 287])).
% 0.67/0.85 tff(290,plain,
% 0.67/0.85 (trans(s27, s28)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[289, 286, 33])).
% 0.67/0.85 tff(291,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(292,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s27, s28)) | (~always3(s27)) | always3(s28))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(293,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s27, s28)) | (~always3(s27)) | always3(s28)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[292, 291])).
% 0.67/0.85 tff(294,plain,
% 0.67/0.85 ((~always3(s27)) | always3(s28)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[293, 50, 290])).
% 0.67/0.85 tff(295,plain,
% 0.67/0.85 (~always3(s27)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[294, 283])).
% 0.67/0.85 tff(296,plain,
% 0.67/0.85 (succ(s26, s27) <=> succ(s26, s27)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(297,axiom,(succ(s26, s27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound27')).
% 0.67/0.85 tff(298,plain,
% 0.67/0.85 (succ(s26, s27)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[297, 296])).
% 0.67/0.85 tff(299,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(300,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(301,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[300, 299])).
% 0.67/0.85 tff(302,plain,
% 0.67/0.85 (trans(s26, s27)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[301, 298, 33])).
% 0.67/0.85 tff(303,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(304,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s26, s27)) | (~always3(s26)) | always3(s27))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(305,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s26, s27)) | (~always3(s26)) | always3(s27)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[304, 303])).
% 0.67/0.85 tff(306,plain,
% 0.67/0.85 ((~always3(s26)) | always3(s27)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[305, 50, 302])).
% 0.67/0.85 tff(307,plain,
% 0.67/0.85 (~always3(s26)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[306, 295])).
% 0.67/0.85 tff(308,plain,
% 0.67/0.85 (succ(s25, s26) <=> succ(s25, s26)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(309,axiom,(succ(s25, s26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound26')).
% 0.67/0.85 tff(310,plain,
% 0.67/0.85 (succ(s25, s26)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[309, 308])).
% 0.67/0.85 tff(311,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(312,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(313,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[312, 311])).
% 0.67/0.85 tff(314,plain,
% 0.67/0.85 (trans(s25, s26)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[313, 310, 33])).
% 0.67/0.85 tff(315,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(316,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s25, s26)) | (~always3(s25)) | always3(s26))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(317,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s25, s26)) | (~always3(s25)) | always3(s26)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[316, 315])).
% 0.67/0.85 tff(318,plain,
% 0.67/0.85 ((~always3(s25)) | always3(s26)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[317, 50, 314])).
% 0.67/0.85 tff(319,plain,
% 0.67/0.85 (~always3(s25)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[318, 307])).
% 0.67/0.85 tff(320,plain,
% 0.67/0.85 (succ(s24, s25) <=> succ(s24, s25)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(321,axiom,(succ(s24, s25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound25')).
% 0.67/0.85 tff(322,plain,
% 0.67/0.85 (succ(s24, s25)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[321, 320])).
% 0.67/0.85 tff(323,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(324,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(325,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[324, 323])).
% 0.67/0.85 tff(326,plain,
% 0.67/0.85 (trans(s24, s25)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[325, 322, 33])).
% 0.67/0.85 tff(327,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(328,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s24, s25)) | (~always3(s24)) | always3(s25))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(329,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s24, s25)) | (~always3(s24)) | always3(s25)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[328, 327])).
% 0.67/0.85 tff(330,plain,
% 0.67/0.85 ((~always3(s24)) | always3(s25)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[329, 50, 326])).
% 0.67/0.85 tff(331,plain,
% 0.67/0.85 (~always3(s24)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[330, 319])).
% 0.67/0.85 tff(332,plain,
% 0.67/0.85 (succ(s23, s24) <=> succ(s23, s24)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(333,axiom,(succ(s23, s24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound24')).
% 0.67/0.85 tff(334,plain,
% 0.67/0.85 (succ(s23, s24)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[333, 332])).
% 0.67/0.85 tff(335,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(336,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(337,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[336, 335])).
% 0.67/0.85 tff(338,plain,
% 0.67/0.85 (trans(s23, s24)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[337, 334, 33])).
% 0.67/0.85 tff(339,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(340,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s23, s24)) | (~always3(s23)) | always3(s24))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(341,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s23, s24)) | (~always3(s23)) | always3(s24)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[340, 339])).
% 0.67/0.85 tff(342,plain,
% 0.67/0.85 ((~always3(s23)) | always3(s24)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[341, 50, 338])).
% 0.67/0.85 tff(343,plain,
% 0.67/0.85 (~always3(s23)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[342, 331])).
% 0.67/0.85 tff(344,plain,
% 0.67/0.85 (succ(s22, s23) <=> succ(s22, s23)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(345,axiom,(succ(s22, s23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound23')).
% 0.67/0.85 tff(346,plain,
% 0.67/0.85 (succ(s22, s23)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[345, 344])).
% 0.67/0.85 tff(347,plain,
% 0.67/0.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(348,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(349,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[348, 347])).
% 0.67/0.85 tff(350,plain,
% 0.67/0.85 (trans(s22, s23)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[349, 346, 33])).
% 0.67/0.85 tff(351,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(352,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s22, s23)) | (~always3(s22)) | always3(s23))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(353,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s22, s23)) | (~always3(s22)) | always3(s23)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[352, 351])).
% 0.67/0.85 tff(354,plain,
% 0.67/0.85 ((~always3(s22)) | always3(s23)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[353, 50, 350])).
% 0.67/0.85 tff(355,plain,
% 0.67/0.85 (~always3(s22)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[354, 343])).
% 0.67/0.85 tff(356,plain,
% 0.67/0.85 (succ(s21, s22) <=> succ(s21, s22)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(357,axiom,(succ(s21, s22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound22')).
% 0.67/0.85 tff(358,plain,
% 0.67/0.85 (succ(s21, s22)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[357, 356])).
% 0.67/0.85 tff(359,plain,
% 0.67/0.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(360,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(361,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[360, 359])).
% 0.67/0.85 tff(362,plain,
% 0.67/0.85 (trans(s21, s22)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[361, 358, 33])).
% 0.67/0.85 tff(363,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(364,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s21, s22)) | (~always3(s21)) | always3(s22))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(365,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s21, s22)) | (~always3(s21)) | always3(s22)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[364, 363])).
% 0.67/0.85 tff(366,plain,
% 0.67/0.85 ((~always3(s21)) | always3(s22)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[365, 50, 362])).
% 0.67/0.85 tff(367,plain,
% 0.67/0.85 (~always3(s21)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[366, 355])).
% 0.67/0.85 tff(368,plain,
% 0.67/0.85 (succ(s20, s21) <=> succ(s20, s21)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(369,axiom,(succ(s20, s21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound21')).
% 0.67/0.85 tff(370,plain,
% 0.67/0.85 (succ(s20, s21)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[369, 368])).
% 0.67/0.85 tff(371,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(372,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(373,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[372, 371])).
% 0.67/0.85 tff(374,plain,
% 0.67/0.85 (trans(s20, s21)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[373, 370, 33])).
% 0.67/0.85 tff(375,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(376,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s20, s21)) | (~always3(s20)) | always3(s21))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(377,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s20, s21)) | (~always3(s20)) | always3(s21)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[376, 375])).
% 0.67/0.85 tff(378,plain,
% 0.67/0.85 ((~always3(s20)) | always3(s21)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[377, 50, 374])).
% 0.67/0.85 tff(379,plain,
% 0.67/0.85 (~always3(s20)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[378, 367])).
% 0.67/0.85 tff(380,plain,
% 0.67/0.85 (succ(s19, s20) <=> succ(s19, s20)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(381,axiom,(succ(s19, s20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound20')).
% 0.67/0.85 tff(382,plain,
% 0.67/0.85 (succ(s19, s20)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[381, 380])).
% 0.67/0.85 tff(383,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(384,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(385,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[384, 383])).
% 0.67/0.85 tff(386,plain,
% 0.67/0.85 (trans(s19, s20)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[385, 382, 33])).
% 0.67/0.85 tff(387,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(388,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s19, s20)) | (~always3(s19)) | always3(s20))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(389,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s19, s20)) | (~always3(s19)) | always3(s20)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[388, 387])).
% 0.67/0.85 tff(390,plain,
% 0.67/0.85 ((~always3(s19)) | always3(s20)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[389, 50, 386])).
% 0.67/0.85 tff(391,plain,
% 0.67/0.85 (~always3(s19)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[390, 379])).
% 0.67/0.85 tff(392,plain,
% 0.67/0.85 (succ(s18, s19) <=> succ(s18, s19)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(393,axiom,(succ(s18, s19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound19')).
% 0.67/0.85 tff(394,plain,
% 0.67/0.85 (succ(s18, s19)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[393, 392])).
% 0.67/0.85 tff(395,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(396,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(397,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[396, 395])).
% 0.67/0.85 tff(398,plain,
% 0.67/0.85 (trans(s18, s19)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[397, 394, 33])).
% 0.67/0.85 tff(399,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(400,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s18, s19)) | (~always3(s18)) | always3(s19))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(401,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s18, s19)) | (~always3(s18)) | always3(s19)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[400, 399])).
% 0.67/0.85 tff(402,plain,
% 0.67/0.85 ((~always3(s18)) | always3(s19)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[401, 50, 398])).
% 0.67/0.85 tff(403,plain,
% 0.67/0.85 (~always3(s18)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[402, 391])).
% 0.67/0.85 tff(404,plain,
% 0.67/0.85 (succ(s17, s18) <=> succ(s17, s18)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(405,axiom,(succ(s17, s18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound18')).
% 0.67/0.85 tff(406,plain,
% 0.67/0.85 (succ(s17, s18)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[405, 404])).
% 0.67/0.85 tff(407,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(408,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(409,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[408, 407])).
% 0.67/0.85 tff(410,plain,
% 0.67/0.85 (trans(s17, s18)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[409, 406, 33])).
% 0.67/0.85 tff(411,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(412,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s17, s18)) | (~always3(s17)) | always3(s18))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(413,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s17, s18)) | (~always3(s17)) | always3(s18)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[412, 411])).
% 0.67/0.85 tff(414,plain,
% 0.67/0.85 ((~always3(s17)) | always3(s18)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[413, 50, 410])).
% 0.67/0.85 tff(415,plain,
% 0.67/0.85 (~always3(s17)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[414, 403])).
% 0.67/0.85 tff(416,plain,
% 0.67/0.85 (succ(s16, s17) <=> succ(s16, s17)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(417,axiom,(succ(s16, s17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound17')).
% 0.67/0.85 tff(418,plain,
% 0.67/0.85 (succ(s16, s17)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[417, 416])).
% 0.67/0.85 tff(419,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(420,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(421,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[420, 419])).
% 0.67/0.85 tff(422,plain,
% 0.67/0.85 (trans(s16, s17)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[421, 418, 33])).
% 0.67/0.85 tff(423,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(424,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s16, s17)) | (~always3(s16)) | always3(s17))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(425,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s16, s17)) | (~always3(s16)) | always3(s17)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[424, 423])).
% 0.67/0.85 tff(426,plain,
% 0.67/0.85 ((~always3(s16)) | always3(s17)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[425, 50, 422])).
% 0.67/0.85 tff(427,plain,
% 0.67/0.85 (~always3(s16)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[426, 415])).
% 0.67/0.85 tff(428,plain,
% 0.67/0.85 (succ(s15, s16) <=> succ(s15, s16)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(429,axiom,(succ(s15, s16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound16')).
% 0.67/0.85 tff(430,plain,
% 0.67/0.85 (succ(s15, s16)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[429, 428])).
% 0.67/0.85 tff(431,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(432,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(433,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[432, 431])).
% 0.67/0.85 tff(434,plain,
% 0.67/0.85 (trans(s15, s16)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[433, 430, 33])).
% 0.67/0.85 tff(435,plain,
% 0.67/0.85 (((~![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))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(436,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s15, s16)) | (~always3(s15)) | always3(s16))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(437,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s15, s16)) | (~always3(s15)) | always3(s16)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[436, 435])).
% 0.67/0.85 tff(438,plain,
% 0.67/0.85 ((~always3(s15)) | always3(s16)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[437, 50, 434])).
% 0.67/0.85 tff(439,plain,
% 0.67/0.85 (~always3(s15)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[438, 427])).
% 0.67/0.85 tff(440,assumption,(~always3(s99)), introduced(assumption)).
% 0.67/0.85 tff(441,plain,
% 0.67/0.85 (succ(s98, s99) <=> succ(s98, s99)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(442,axiom,(succ(s98, s99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound99')).
% 0.67/0.85 tff(443,plain,
% 0.67/0.85 (succ(s98, s99)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[442, 441])).
% 0.67/0.85 tff(444,plain,
% 0.67/0.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(445,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(446,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[445, 444])).
% 0.67/0.85 tff(447,plain,
% 0.67/0.85 (trans(s98, s99)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[446, 443, 33])).
% 0.67/0.85 tff(448,plain,
% 0.67/0.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (always3(s99) | (~trans(s98, s99)) | (~always3(s98)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s99) | (~trans(s98, s99)) | (~always3(s98)))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(449,plain,
% 0.67/0.85 (((~trans(s98, s99)) | (~always3(s98)) | always3(s99)) <=> (always3(s99) | (~trans(s98, s99)) | (~always3(s98)))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(450,plain,
% 0.67/0.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s98, s99)) | (~always3(s98)) | always3(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (always3(s99) | (~trans(s98, s99)) | (~always3(s98))))),
% 0.67/0.85 inference(monotonicity,[status(thm)],[449])).
% 0.67/0.85 tff(451,plain,
% 0.67/0.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s98, s99)) | (~always3(s98)) | always3(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s99) | (~trans(s98, s99)) | (~always3(s98)))),
% 0.67/0.85 inference(transitivity,[status(thm)],[450, 448])).
% 0.67/0.85 tff(452,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s98, s99)) | (~always3(s98)) | always3(s99))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(453,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s99) | (~trans(s98, s99)) | (~always3(s98))),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[452, 451])).
% 0.67/0.85 tff(454,plain,
% 0.67/0.85 (always3(s99) | (~always3(s98))),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[453, 50, 447])).
% 0.67/0.85 tff(455,plain,
% 0.67/0.85 (~always3(s98)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[454, 440])).
% 0.67/0.85 tff(456,plain,
% 0.67/0.85 (succ(s97, s98) <=> succ(s97, s98)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(457,axiom,(succ(s97, s98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound98')).
% 0.67/0.85 tff(458,plain,
% 0.67/0.85 (succ(s97, s98)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[457, 456])).
% 0.67/0.85 tff(459,plain,
% 0.67/0.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(460,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(461,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[460, 459])).
% 0.67/0.85 tff(462,plain,
% 0.67/0.85 (trans(s97, s98)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[461, 458, 33])).
% 0.67/0.85 tff(463,plain,
% 0.67/0.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s97, s98)) | (~always3(s97)) | always3(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s97, s98)) | (~always3(s97)) | always3(s98))),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(464,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s97, s98)) | (~always3(s97)) | always3(s98))),
% 0.67/0.85 inference(quant_inst,[status(thm)],[])).
% 0.67/0.85 tff(465,plain,
% 0.67/0.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s97, s98)) | (~always3(s97)) | always3(s98)),
% 0.67/0.85 inference(modus_ponens,[status(thm)],[464, 463])).
% 0.67/0.85 tff(466,plain,
% 0.67/0.85 ((~always3(s97)) | always3(s98)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[465, 50, 462])).
% 0.67/0.85 tff(467,plain,
% 0.67/0.85 (~always3(s97)),
% 0.67/0.85 inference(unit_resolution,[status(thm)],[466, 455])).
% 0.67/0.85 tff(468,plain,
% 0.67/0.85 (succ(s96, s97) <=> succ(s96, s97)),
% 0.67/0.85 inference(rewrite,[status(thm)],[])).
% 0.67/0.85 tff(469,axiom,(succ(s96, s97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound97')).
% 0.67/0.86 tff(470,plain,
% 0.67/0.86 (succ(s96, s97)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[469, 468])).
% 0.67/0.86 tff(471,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(472,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(473,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[472, 471])).
% 0.67/0.86 tff(474,plain,
% 0.67/0.86 (trans(s96, s97)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[473, 470, 33])).
% 0.67/0.86 tff(475,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s96, s97)) | (~always3(s96)) | always3(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s96, s97)) | (~always3(s96)) | always3(s97))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(476,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s96, s97)) | (~always3(s96)) | always3(s97))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(477,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s96, s97)) | (~always3(s96)) | always3(s97)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[476, 475])).
% 0.67/0.86 tff(478,plain,
% 0.67/0.86 ((~always3(s96)) | always3(s97)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[477, 50, 474])).
% 0.67/0.86 tff(479,plain,
% 0.67/0.86 (~always3(s96)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[478, 467])).
% 0.67/0.86 tff(480,plain,
% 0.67/0.86 (succ(s95, s96) <=> succ(s95, s96)),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(481,axiom,(succ(s95, s96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound96')).
% 0.67/0.86 tff(482,plain,
% 0.67/0.86 (succ(s95, s96)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[481, 480])).
% 0.67/0.86 tff(483,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(484,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(485,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[484, 483])).
% 0.67/0.86 tff(486,plain,
% 0.67/0.86 (trans(s95, s96)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[485, 482, 33])).
% 0.67/0.86 tff(487,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s95, s96)) | (~always3(s95)) | always3(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s95, s96)) | (~always3(s95)) | always3(s96))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(488,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s95, s96)) | (~always3(s95)) | always3(s96))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(489,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s95, s96)) | (~always3(s95)) | always3(s96)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[488, 487])).
% 0.67/0.86 tff(490,plain,
% 0.67/0.86 ((~always3(s95)) | always3(s96)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[489, 50, 486])).
% 0.67/0.86 tff(491,plain,
% 0.67/0.86 (~always3(s95)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[490, 479])).
% 0.67/0.86 tff(492,plain,
% 0.67/0.86 (succ(s94, s95) <=> succ(s94, s95)),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(493,axiom,(succ(s94, s95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound95')).
% 0.67/0.86 tff(494,plain,
% 0.67/0.86 (succ(s94, s95)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[493, 492])).
% 0.67/0.86 tff(495,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(496,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(497,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[496, 495])).
% 0.67/0.86 tff(498,plain,
% 0.67/0.86 (trans(s94, s95)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[497, 494, 33])).
% 0.67/0.86 tff(499,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s94, s95)) | (~always3(s94)) | always3(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s94, s95)) | (~always3(s94)) | always3(s95))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(500,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s94, s95)) | (~always3(s94)) | always3(s95))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(501,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s94, s95)) | (~always3(s94)) | always3(s95)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[500, 499])).
% 0.67/0.86 tff(502,plain,
% 0.67/0.86 ((~always3(s94)) | always3(s95)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[501, 50, 498])).
% 0.67/0.86 tff(503,plain,
% 0.67/0.86 (~always3(s94)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[502, 491])).
% 0.67/0.86 tff(504,plain,
% 0.67/0.86 (succ(s93, s94) <=> succ(s93, s94)),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(505,axiom,(succ(s93, s94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound94')).
% 0.67/0.86 tff(506,plain,
% 0.67/0.86 (succ(s93, s94)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[505, 504])).
% 0.67/0.86 tff(507,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(508,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(509,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[508, 507])).
% 0.67/0.86 tff(510,plain,
% 0.67/0.86 (trans(s93, s94)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[509, 506, 33])).
% 0.67/0.86 tff(511,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s93, s94)) | (~always3(s93)) | always3(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s93, s94)) | (~always3(s93)) | always3(s94))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(512,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s93, s94)) | (~always3(s93)) | always3(s94))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(513,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s93, s94)) | (~always3(s93)) | always3(s94)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[512, 511])).
% 0.67/0.86 tff(514,plain,
% 0.67/0.86 ((~always3(s93)) | always3(s94)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[513, 50, 510])).
% 0.67/0.86 tff(515,plain,
% 0.67/0.86 (~always3(s93)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[514, 503])).
% 0.67/0.86 tff(516,plain,
% 0.67/0.86 (succ(s92, s93) <=> succ(s92, s93)),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(517,axiom,(succ(s92, s93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound93')).
% 0.67/0.86 tff(518,plain,
% 0.67/0.86 (succ(s92, s93)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[517, 516])).
% 0.67/0.86 tff(519,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(520,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(521,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[520, 519])).
% 0.67/0.86 tff(522,plain,
% 0.67/0.86 (trans(s92, s93)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[521, 518, 33])).
% 0.67/0.86 tff(523,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s92, s93)) | (~always3(s92)) | always3(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s92, s93)) | (~always3(s92)) | always3(s93))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(524,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s92, s93)) | (~always3(s92)) | always3(s93))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(525,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s92, s93)) | (~always3(s92)) | always3(s93)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[524, 523])).
% 0.67/0.86 tff(526,plain,
% 0.67/0.86 ((~always3(s92)) | always3(s93)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[525, 50, 522])).
% 0.67/0.86 tff(527,plain,
% 0.67/0.86 (~always3(s92)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[526, 515])).
% 0.67/0.86 tff(528,assumption,(~always3(s92)), introduced(assumption)).
% 0.67/0.86 tff(529,plain,
% 0.67/0.86 (succ(s91, s92) <=> succ(s91, s92)),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(530,axiom,(succ(s91, s92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound92')).
% 0.67/0.86 tff(531,plain,
% 0.67/0.86 (succ(s91, s92)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[530, 529])).
% 0.67/0.86 tff(532,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(533,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(534,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[533, 532])).
% 0.67/0.86 tff(535,plain,
% 0.67/0.86 (trans(s91, s92)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[534, 531, 33])).
% 0.67/0.86 tff(536,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s91, s92)) | (~always3(s91)) | always3(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s91, s92)) | (~always3(s91)) | always3(s92))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(537,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s91, s92)) | (~always3(s91)) | always3(s92))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(538,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s91, s92)) | (~always3(s91)) | always3(s92)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[537, 536])).
% 0.67/0.86 tff(539,plain,
% 0.67/0.86 ((~always3(s91)) | always3(s92)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[538, 50, 535])).
% 0.67/0.86 tff(540,plain,
% 0.67/0.86 (~always3(s91)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[539, 528])).
% 0.67/0.86 tff(541,plain,
% 0.67/0.86 (succ(s90, s91) <=> succ(s90, s91)),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(542,axiom,(succ(s90, s91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound91')).
% 0.67/0.86 tff(543,plain,
% 0.67/0.86 (succ(s90, s91)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[542, 541])).
% 0.67/0.86 tff(544,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(545,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(546,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[545, 544])).
% 0.67/0.86 tff(547,plain,
% 0.67/0.86 (trans(s90, s91)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[546, 543, 33])).
% 0.67/0.86 tff(548,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s90, s91)) | (~always3(s90)) | always3(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s90, s91)) | (~always3(s90)) | always3(s91))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(549,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s90, s91)) | (~always3(s90)) | always3(s91))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(550,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s90, s91)) | (~always3(s90)) | always3(s91)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[549, 548])).
% 0.67/0.86 tff(551,plain,
% 0.67/0.86 ((~always3(s90)) | always3(s91)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[550, 50, 547])).
% 0.67/0.86 tff(552,plain,
% 0.67/0.86 (~always3(s90)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[551, 540])).
% 0.67/0.86 tff(553,plain,
% 0.67/0.86 (succ(s89, s90) <=> succ(s89, s90)),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(554,axiom,(succ(s89, s90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound90')).
% 0.67/0.86 tff(555,plain,
% 0.67/0.86 (succ(s89, s90)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[554, 553])).
% 0.67/0.86 tff(556,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(557,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(558,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[557, 556])).
% 0.67/0.86 tff(559,plain,
% 0.67/0.86 (trans(s89, s90)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[558, 555, 33])).
% 0.67/0.86 tff(560,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s89, s90)) | (~always3(s89)) | always3(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s89, s90)) | (~always3(s89)) | always3(s90))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(561,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s89, s90)) | (~always3(s89)) | always3(s90))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(562,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s89, s90)) | (~always3(s89)) | always3(s90)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[561, 560])).
% 0.67/0.86 tff(563,plain,
% 0.67/0.86 ((~always3(s89)) | always3(s90)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[562, 50, 559])).
% 0.67/0.86 tff(564,plain,
% 0.67/0.86 (~always3(s89)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[563, 552])).
% 0.67/0.86 tff(565,plain,
% 0.67/0.86 (succ(s88, s89) <=> succ(s88, s89)),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(566,axiom,(succ(s88, s89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound89')).
% 0.67/0.86 tff(567,plain,
% 0.67/0.86 (succ(s88, s89)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[566, 565])).
% 0.67/0.86 tff(568,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(569,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(570,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[569, 568])).
% 0.67/0.86 tff(571,plain,
% 0.67/0.86 (trans(s88, s89)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[570, 567, 33])).
% 0.67/0.86 tff(572,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s88, s89)) | (~always3(s88)) | always3(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s88, s89)) | (~always3(s88)) | always3(s89))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(573,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s88, s89)) | (~always3(s88)) | always3(s89))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(574,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s88, s89)) | (~always3(s88)) | always3(s89)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[573, 572])).
% 0.67/0.86 tff(575,plain,
% 0.67/0.86 ((~always3(s88)) | always3(s89)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[574, 50, 571])).
% 0.67/0.86 tff(576,plain,
% 0.67/0.86 (~always3(s88)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[575, 564])).
% 0.67/0.86 tff(577,plain,
% 0.67/0.86 (succ(s87, s88) <=> succ(s87, s88)),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(578,axiom,(succ(s87, s88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound88')).
% 0.67/0.86 tff(579,plain,
% 0.67/0.86 (succ(s87, s88)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[578, 577])).
% 0.67/0.86 tff(580,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(581,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(582,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[581, 580])).
% 0.67/0.86 tff(583,plain,
% 0.67/0.86 (trans(s87, s88)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[582, 579, 33])).
% 0.67/0.86 tff(584,plain,
% 0.67/0.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s87, s88)) | (~always3(s87)) | always3(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s87, s88)) | (~always3(s87)) | always3(s88))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(585,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s87, s88)) | (~always3(s87)) | always3(s88))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(586,plain,
% 0.67/0.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s87, s88)) | (~always3(s87)) | always3(s88)),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[585, 584])).
% 0.67/0.86 tff(587,plain,
% 0.67/0.86 ((~always3(s87)) | always3(s88)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[586, 50, 583])).
% 0.67/0.86 tff(588,plain,
% 0.67/0.86 (~always3(s87)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[587, 576])).
% 0.67/0.86 tff(589,plain,
% 0.67/0.86 (^[X: $i] : refl((always3(X) | (~node4(X))) <=> (always3(X) | (~node4(X))))),
% 0.67/0.86 inference(bind,[status(th)],[])).
% 0.67/0.86 tff(590,plain,
% 0.67/0.86 (![X: $i] : (always3(X) | (~node4(X))) <=> ![X: $i] : (always3(X) | (~node4(X)))),
% 0.67/0.86 inference(quant_intro,[status(thm)],[589])).
% 0.67/0.86 tff(591,plain,
% 0.67/0.86 (![X: $i] : (always3(X) | (~node4(X))) <=> ![X: $i] : (always3(X) | (~node4(X)))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(592,axiom,(![X: $i] : (always3(X) | (~node4(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty5')).
% 0.67/0.86 tff(593,plain,
% 0.67/0.86 (![X: $i] : (always3(X) | (~node4(X)))),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[592, 591])).
% 0.67/0.86 tff(594,plain,(
% 0.67/0.86 ![X: $i] : (always3(X) | (~node4(X)))),
% 0.67/0.86 inference(skolemize,[status(sab)],[593])).
% 0.67/0.86 tff(595,plain,
% 0.67/0.86 (![X: $i] : (always3(X) | (~node4(X)))),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[594, 590])).
% 0.67/0.86 tff(596,plain,
% 0.67/0.86 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s91) | (~node4(s91)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s91) | (~node4(s91)))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(597,plain,
% 0.67/0.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s91) | (~node4(s91)))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(598,plain,
% 0.67/0.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s91) | (~node4(s91))),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[597, 596])).
% 0.67/0.86 tff(599,plain,
% 0.67/0.86 (~node4(s91)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[598, 595, 540])).
% 0.67/0.86 tff(600,plain,
% 0.67/0.86 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s92) | (~node4(s92)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s92) | (~node4(s92)))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(601,plain,
% 0.67/0.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s92) | (~node4(s92)))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(602,plain,
% 0.67/0.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s92) | (~node4(s92))),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[601, 600])).
% 0.67/0.86 tff(603,plain,
% 0.67/0.86 (~node4(s92)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[602, 595, 528])).
% 0.67/0.86 tff(604,assumption,(~xuntil6(s92)), introduced(assumption)).
% 0.67/0.86 tff(605,plain,
% 0.67/0.86 (^[X: $i] : refl((node4(X) | (~until5(X)) | xuntil6(X)) <=> (node4(X) | (~until5(X)) | xuntil6(X)))),
% 0.67/0.86 inference(bind,[status(th)],[])).
% 0.67/0.86 tff(606,plain,
% 0.67/0.86 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X)) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 0.67/0.86 inference(quant_intro,[status(thm)],[605])).
% 0.67/0.86 tff(607,plain,
% 0.67/0.86 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X)) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(608,plain,
% 0.67/0.86 (^[X: $i] : rewrite(((node4(X) | xuntil6(X)) | (~until5(X))) <=> (node4(X) | (~until5(X)) | xuntil6(X)))),
% 0.67/0.86 inference(bind,[status(th)],[])).
% 0.67/0.86 tff(609,plain,
% 0.67/0.86 (![X: $i] : ((node4(X) | xuntil6(X)) | (~until5(X))) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 0.67/0.86 inference(quant_intro,[status(thm)],[608])).
% 0.67/0.86 tff(610,axiom,(![X: $i] : ((node4(X) | xuntil6(X)) | (~until5(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty6')).
% 0.67/0.86 tff(611,plain,
% 0.67/0.86 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[610, 609])).
% 0.67/0.86 tff(612,plain,
% 0.67/0.86 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[611, 607])).
% 0.67/0.86 tff(613,plain,(
% 0.67/0.86 ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 0.67/0.86 inference(skolemize,[status(sab)],[612])).
% 0.67/0.86 tff(614,plain,
% 0.67/0.86 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[613, 606])).
% 0.67/0.86 tff(615,plain,
% 0.67/0.86 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s92) | node4(s92) | (~until5(s92)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s92) | node4(s92) | (~until5(s92)))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(616,plain,
% 0.67/0.86 ((node4(s92) | (~until5(s92)) | xuntil6(s92)) <=> (xuntil6(s92) | node4(s92) | (~until5(s92)))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(617,plain,
% 0.67/0.86 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s92) | (~until5(s92)) | xuntil6(s92))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s92) | node4(s92) | (~until5(s92))))),
% 0.67/0.86 inference(monotonicity,[status(thm)],[616])).
% 0.67/0.86 tff(618,plain,
% 0.67/0.86 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s92) | (~until5(s92)) | xuntil6(s92))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s92) | node4(s92) | (~until5(s92)))),
% 0.67/0.86 inference(transitivity,[status(thm)],[617, 615])).
% 0.67/0.86 tff(619,plain,
% 0.67/0.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s92) | (~until5(s92)) | xuntil6(s92))),
% 0.67/0.86 inference(quant_inst,[status(thm)],[])).
% 0.67/0.86 tff(620,plain,
% 0.67/0.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s92) | node4(s92) | (~until5(s92))),
% 0.67/0.86 inference(modus_ponens,[status(thm)],[619, 618])).
% 0.67/0.86 tff(621,plain,
% 0.67/0.86 (node4(s92) | (~until5(s92))),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[620, 614, 604])).
% 0.67/0.86 tff(622,plain,
% 0.67/0.86 (~until5(s92)),
% 0.67/0.86 inference(unit_resolution,[status(thm)],[621, 603])).
% 0.67/0.86 tff(623,plain,
% 0.67/0.86 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)))),
% 0.67/0.86 inference(bind,[status(th)],[])).
% 0.67/0.86 tff(624,plain,
% 0.67/0.86 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 0.67/0.86 inference(quant_intro,[status(thm)],[623])).
% 0.67/0.86 tff(625,plain,
% 0.67/0.86 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 0.67/0.86 inference(rewrite,[status(thm)],[])).
% 0.67/0.86 tff(626,plain,
% 0.67/0.86 (^[Y: $i, X: $i] : rewrite(((until5(Y) | (~succ(X, Y))) | (~xuntil6(X))) <=> ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)))),
% 0.70/0.86 inference(bind,[status(th)],[])).
% 0.70/0.86 tff(627,plain,
% 0.70/0.86 (![Y: $i, X: $i] : ((until5(Y) | (~succ(X, Y))) | (~xuntil6(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 0.70/0.86 inference(quant_intro,[status(thm)],[626])).
% 0.70/0.86 tff(628,axiom,(![Y: $i, X: $i] : ((until5(Y) | (~succ(X, Y))) | (~xuntil6(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty7')).
% 0.70/0.86 tff(629,plain,
% 0.70/0.86 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 0.70/0.86 inference(modus_ponens,[status(thm)],[628, 627])).
% 0.70/0.86 tff(630,plain,
% 0.70/0.86 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 0.70/0.86 inference(modus_ponens,[status(thm)],[629, 625])).
% 0.70/0.86 tff(631,plain,(
% 0.70/0.86 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 0.70/0.86 inference(skolemize,[status(sab)],[630])).
% 0.70/0.86 tff(632,plain,
% 0.70/0.86 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 0.70/0.86 inference(modus_ponens,[status(thm)],[631, 624])).
% 0.70/0.86 tff(633,plain,
% 0.70/0.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s91, s92)) | (~xuntil6(s91)) | until5(s92))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s91, s92)) | (~xuntil6(s91)) | until5(s92))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(634,plain,
% 0.70/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s91, s92)) | (~xuntil6(s91)) | until5(s92))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(635,plain,
% 0.70/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s91, s92)) | (~xuntil6(s91)) | until5(s92)),
% 0.70/0.86 inference(modus_ponens,[status(thm)],[634, 633])).
% 0.70/0.86 tff(636,plain,
% 0.70/0.86 ((~xuntil6(s91)) | until5(s92)),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[635, 531, 632])).
% 0.70/0.86 tff(637,plain,
% 0.70/0.86 (~xuntil6(s91)),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[636, 622])).
% 0.70/0.86 tff(638,plain,
% 0.70/0.86 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s91) | node4(s91) | (~until5(s91)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s91) | node4(s91) | (~until5(s91)))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(639,plain,
% 0.70/0.86 ((node4(s91) | (~until5(s91)) | xuntil6(s91)) <=> (xuntil6(s91) | node4(s91) | (~until5(s91)))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(640,plain,
% 0.70/0.86 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s91) | (~until5(s91)) | xuntil6(s91))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s91) | node4(s91) | (~until5(s91))))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[639])).
% 0.70/0.86 tff(641,plain,
% 0.70/0.86 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s91) | (~until5(s91)) | xuntil6(s91))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s91) | node4(s91) | (~until5(s91)))),
% 0.70/0.86 inference(transitivity,[status(thm)],[640, 638])).
% 0.70/0.86 tff(642,plain,
% 0.70/0.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s91) | (~until5(s91)) | xuntil6(s91))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(643,plain,
% 0.70/0.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s91) | node4(s91) | (~until5(s91))),
% 0.70/0.86 inference(modus_ponens,[status(thm)],[642, 641])).
% 0.70/0.86 tff(644,plain,
% 0.70/0.86 (~until5(s91)),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[643, 614, 637, 599])).
% 0.70/0.86 tff(645,plain,
% 0.70/0.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s90, s91)) | (~xuntil6(s90)) | until5(s91))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s90, s91)) | (~xuntil6(s90)) | until5(s91))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(646,plain,
% 0.70/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s90, s91)) | (~xuntil6(s90)) | until5(s91))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(647,plain,
% 0.70/0.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s90, s91)) | (~xuntil6(s90)) | until5(s91)),
% 0.70/0.86 inference(modus_ponens,[status(thm)],[646, 645])).
% 0.70/0.86 tff(648,plain,
% 0.70/0.86 ((~xuntil6(s90)) | until5(s91)),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[647, 543, 632])).
% 0.70/0.86 tff(649,plain,
% 0.70/0.86 (~xuntil6(s90)),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[648, 644])).
% 0.70/0.86 tff(650,assumption,(~always3(s90)), introduced(assumption)).
% 0.70/0.86 tff(651,plain,
% 0.70/0.86 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s90) | (~node4(s90)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s90) | (~node4(s90)))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(652,plain,
% 0.70/0.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s90) | (~node4(s90)))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(653,plain,
% 0.70/0.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s90) | (~node4(s90))),
% 0.70/0.86 inference(modus_ponens,[status(thm)],[652, 651])).
% 0.70/0.86 tff(654,plain,
% 0.70/0.86 (~node4(s90)),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[653, 595, 650])).
% 0.70/0.86 tff(655,assumption,(~xuntil6(s90)), introduced(assumption)).
% 0.70/0.86 tff(656,plain,
% 0.70/0.86 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s90) | node4(s90) | (~until5(s90)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s90) | node4(s90) | (~until5(s90)))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(657,plain,
% 0.70/0.86 ((node4(s90) | (~until5(s90)) | xuntil6(s90)) <=> (xuntil6(s90) | node4(s90) | (~until5(s90)))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(658,plain,
% 0.70/0.86 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s90) | (~until5(s90)) | xuntil6(s90))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s90) | node4(s90) | (~until5(s90))))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[657])).
% 0.70/0.86 tff(659,plain,
% 0.70/0.86 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s90) | (~until5(s90)) | xuntil6(s90))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s90) | node4(s90) | (~until5(s90)))),
% 0.70/0.86 inference(transitivity,[status(thm)],[658, 656])).
% 0.70/0.86 tff(660,plain,
% 0.70/0.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s90) | (~until5(s90)) | xuntil6(s90))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(661,plain,
% 0.70/0.86 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s90) | node4(s90) | (~until5(s90))),
% 0.70/0.86 inference(modus_ponens,[status(thm)],[660, 659])).
% 0.70/0.86 tff(662,plain,
% 0.70/0.86 (node4(s90) | (~until5(s90))),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[661, 614, 655])).
% 0.70/0.86 tff(663,plain,
% 0.70/0.86 (~until5(s90)),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[662, 654])).
% 0.70/0.86 tff(664,plain,
% 0.70/0.86 (~always3(s89)),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[563, 650])).
% 0.70/0.86 tff(665,plain,
% 0.70/0.86 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s89) | (~node4(s89)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s89) | (~node4(s89)))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(666,plain,
% 0.70/0.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s89) | (~node4(s89)))),
% 0.70/0.86 inference(quant_inst,[status(thm)],[])).
% 0.70/0.86 tff(667,plain,
% 0.70/0.86 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s89) | (~node4(s89))),
% 0.70/0.86 inference(modus_ponens,[status(thm)],[666, 665])).
% 0.70/0.86 tff(668,plain,
% 0.70/0.86 (~node4(s89)),
% 0.70/0.86 inference(unit_resolution,[status(thm)],[667, 595, 664])).
% 0.70/0.86 tff(669,assumption,(until5(s89)), introduced(assumption)).
% 0.70/0.86 tff(670,plain,
% 0.70/0.86 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s89) | node4(s89) | (~until5(s89)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s89) | node4(s89) | (~until5(s89)))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(671,plain,
% 0.70/0.86 ((node4(s89) | (~until5(s89)) | xuntil6(s89)) <=> (xuntil6(s89) | node4(s89) | (~until5(s89)))),
% 0.70/0.86 inference(rewrite,[status(thm)],[])).
% 0.70/0.86 tff(672,plain,
% 0.70/0.86 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s89) | (~until5(s89)) | xuntil6(s89))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s89) | node4(s89) | (~until5(s89))))),
% 0.70/0.86 inference(monotonicity,[status(thm)],[671])).
% 0.70/0.86 tff(673,plain,
% 0.70/0.86 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s89) | (~until5(s89)) | xuntil6(s89))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s89) | node4(s89) | (~until5(s89)))),
% 0.70/0.86 inference(transitivity,[status(thm)],[672, 670])).
% 0.70/0.86 tff(674,plain,
% 0.70/0.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s89) | (~until5(s89)) | xuntil6(s89))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(675,plain,
% 0.70/0.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s89) | node4(s89) | (~until5(s89))),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[674, 673])).
% 0.70/0.87 tff(676,plain,
% 0.70/0.87 (xuntil6(s89) | node4(s89)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[675, 614, 669])).
% 0.70/0.87 tff(677,plain,
% 0.70/0.87 (xuntil6(s89)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[676, 668])).
% 0.70/0.87 tff(678,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s89, s90)) | (~xuntil6(s89)) | until5(s90))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s89, s90)) | (~xuntil6(s89)) | until5(s90))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(679,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s89, s90)) | (~xuntil6(s89)) | until5(s90))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(680,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s89, s90)) | (~xuntil6(s89)) | until5(s90)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[679, 678])).
% 0.70/0.87 tff(681,plain,
% 0.70/0.87 ((~xuntil6(s89)) | until5(s90)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[680, 555, 632])).
% 0.70/0.87 tff(682,plain,
% 0.70/0.87 ($false),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[681, 677, 663])).
% 0.70/0.87 tff(683,plain,(always3(s90) | (~until5(s89)) | xuntil6(s90)), inference(lemma,lemma(discharge,[]))).
% 0.70/0.87 tff(684,plain,
% 0.70/0.87 (~until5(s89)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[683, 649, 552])).
% 0.70/0.87 tff(685,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s88, s89)) | (~xuntil6(s88)) | until5(s89))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s88, s89)) | (~xuntil6(s88)) | until5(s89))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(686,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s88, s89)) | (~xuntil6(s88)) | until5(s89))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(687,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s88, s89)) | (~xuntil6(s88)) | until5(s89)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[686, 685])).
% 0.70/0.87 tff(688,plain,
% 0.70/0.87 ((~xuntil6(s88)) | until5(s89)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[687, 567, 632])).
% 0.70/0.87 tff(689,plain,
% 0.70/0.87 (~xuntil6(s88)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[688, 684])).
% 0.70/0.87 tff(690,plain,
% 0.70/0.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s88) | (~node4(s88)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s88) | (~node4(s88)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(691,plain,
% 0.70/0.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s88) | (~node4(s88)))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(692,plain,
% 0.70/0.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s88) | (~node4(s88))),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[691, 690])).
% 0.70/0.87 tff(693,plain,
% 0.70/0.87 (~node4(s88)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[692, 595, 576])).
% 0.70/0.87 tff(694,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s88) | node4(s88) | (~until5(s88)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s88) | node4(s88) | (~until5(s88)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(695,plain,
% 0.70/0.87 ((node4(s88) | (~until5(s88)) | xuntil6(s88)) <=> (xuntil6(s88) | node4(s88) | (~until5(s88)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(696,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s88) | (~until5(s88)) | xuntil6(s88))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s88) | node4(s88) | (~until5(s88))))),
% 0.70/0.87 inference(monotonicity,[status(thm)],[695])).
% 0.70/0.87 tff(697,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s88) | (~until5(s88)) | xuntil6(s88))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s88) | node4(s88) | (~until5(s88)))),
% 0.70/0.87 inference(transitivity,[status(thm)],[696, 694])).
% 0.70/0.87 tff(698,plain,
% 0.70/0.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s88) | (~until5(s88)) | xuntil6(s88))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(699,plain,
% 0.70/0.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s88) | node4(s88) | (~until5(s88))),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[698, 697])).
% 0.70/0.87 tff(700,plain,
% 0.70/0.87 (xuntil6(s88) | (~until5(s88))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[699, 614, 693])).
% 0.70/0.87 tff(701,plain,
% 0.70/0.87 (~until5(s88)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[700, 689])).
% 0.70/0.87 tff(702,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s87, s88)) | (~xuntil6(s87)) | until5(s88))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s87, s88)) | (~xuntil6(s87)) | until5(s88))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(703,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s87, s88)) | (~xuntil6(s87)) | until5(s88))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(704,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s87, s88)) | (~xuntil6(s87)) | until5(s88)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[703, 702])).
% 0.70/0.87 tff(705,plain,
% 0.70/0.87 ((~xuntil6(s87)) | until5(s88)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[704, 579, 632])).
% 0.70/0.87 tff(706,plain,
% 0.70/0.87 (~xuntil6(s87)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[705, 701])).
% 0.70/0.87 tff(707,assumption,(~always3(s87)), introduced(assumption)).
% 0.70/0.87 tff(708,plain,
% 0.70/0.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s87) | (~node4(s87)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s87) | (~node4(s87)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(709,plain,
% 0.70/0.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s87) | (~node4(s87)))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(710,plain,
% 0.70/0.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s87) | (~node4(s87))),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[709, 708])).
% 0.70/0.87 tff(711,plain,
% 0.70/0.87 (~node4(s87)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[710, 595, 707])).
% 0.70/0.87 tff(712,assumption,(~xuntil6(s87)), introduced(assumption)).
% 0.70/0.87 tff(713,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s87) | node4(s87) | (~until5(s87)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s87) | node4(s87) | (~until5(s87)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(714,plain,
% 0.70/0.87 ((node4(s87) | (~until5(s87)) | xuntil6(s87)) <=> (xuntil6(s87) | node4(s87) | (~until5(s87)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(715,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s87) | (~until5(s87)) | xuntil6(s87))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s87) | node4(s87) | (~until5(s87))))),
% 0.70/0.87 inference(monotonicity,[status(thm)],[714])).
% 0.70/0.87 tff(716,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s87) | (~until5(s87)) | xuntil6(s87))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s87) | node4(s87) | (~until5(s87)))),
% 0.70/0.87 inference(transitivity,[status(thm)],[715, 713])).
% 0.70/0.87 tff(717,plain,
% 0.70/0.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s87) | (~until5(s87)) | xuntil6(s87))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(718,plain,
% 0.70/0.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s87) | node4(s87) | (~until5(s87))),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[717, 716])).
% 0.70/0.87 tff(719,plain,
% 0.70/0.87 (node4(s87) | (~until5(s87))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[718, 614, 712])).
% 0.70/0.87 tff(720,plain,
% 0.70/0.87 (~until5(s87)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[719, 711])).
% 0.70/0.87 tff(721,plain,
% 0.70/0.87 (succ(s86, s87) <=> succ(s86, s87)),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(722,axiom,(succ(s86, s87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound87')).
% 0.70/0.87 tff(723,plain,
% 0.70/0.87 (succ(s86, s87)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[722, 721])).
% 0.70/0.87 tff(724,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(725,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(726,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[725, 724])).
% 0.70/0.87 tff(727,plain,
% 0.70/0.87 (trans(s86, s87)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[726, 723, 33])).
% 0.70/0.87 tff(728,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s86, s87)) | (~always3(s86)) | always3(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s86, s87)) | (~always3(s86)) | always3(s87))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(729,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s86, s87)) | (~always3(s86)) | always3(s87))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(730,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s86, s87)) | (~always3(s86)) | always3(s87)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[729, 728])).
% 0.70/0.87 tff(731,plain,
% 0.70/0.87 ((~always3(s86)) | always3(s87)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[730, 50, 727])).
% 0.70/0.87 tff(732,plain,
% 0.70/0.87 (~always3(s86)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[731, 707])).
% 0.70/0.87 tff(733,plain,
% 0.70/0.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s86) | (~node4(s86)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s86) | (~node4(s86)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(734,plain,
% 0.70/0.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s86) | (~node4(s86)))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(735,plain,
% 0.70/0.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s86) | (~node4(s86))),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[734, 733])).
% 0.70/0.87 tff(736,plain,
% 0.70/0.87 (~node4(s86)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[735, 595, 732])).
% 0.70/0.87 tff(737,assumption,(until5(s86)), introduced(assumption)).
% 0.70/0.87 tff(738,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s86) | node4(s86) | (~until5(s86)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s86) | node4(s86) | (~until5(s86)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(739,plain,
% 0.70/0.87 ((node4(s86) | (~until5(s86)) | xuntil6(s86)) <=> (xuntil6(s86) | node4(s86) | (~until5(s86)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(740,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s86) | (~until5(s86)) | xuntil6(s86))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s86) | node4(s86) | (~until5(s86))))),
% 0.70/0.87 inference(monotonicity,[status(thm)],[739])).
% 0.70/0.87 tff(741,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s86) | (~until5(s86)) | xuntil6(s86))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s86) | node4(s86) | (~until5(s86)))),
% 0.70/0.87 inference(transitivity,[status(thm)],[740, 738])).
% 0.70/0.87 tff(742,plain,
% 0.70/0.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s86) | (~until5(s86)) | xuntil6(s86))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(743,plain,
% 0.70/0.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s86) | node4(s86) | (~until5(s86))),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[742, 741])).
% 0.70/0.87 tff(744,plain,
% 0.70/0.87 (xuntil6(s86) | node4(s86)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[743, 614, 737])).
% 0.70/0.87 tff(745,plain,
% 0.70/0.87 (xuntil6(s86)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[744, 736])).
% 0.70/0.87 tff(746,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(747,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(748,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[747, 746])).
% 0.70/0.87 tff(749,plain,
% 0.70/0.87 ((~xuntil6(s86)) | until5(s87)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[748, 723, 632])).
% 0.70/0.87 tff(750,plain,
% 0.70/0.87 ($false),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[749, 745, 720])).
% 0.70/0.87 tff(751,plain,(always3(s87) | (~until5(s86)) | xuntil6(s87)), inference(lemma,lemma(discharge,[]))).
% 0.70/0.87 tff(752,plain,
% 0.70/0.87 (~until5(s86)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[751, 706, 588])).
% 0.70/0.87 tff(753,plain,
% 0.70/0.87 (succ(s85, s86) <=> succ(s85, s86)),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(754,axiom,(succ(s85, s86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound86')).
% 0.70/0.87 tff(755,plain,
% 0.70/0.87 (succ(s85, s86)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[754, 753])).
% 0.70/0.87 tff(756,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s85, s86)) | (~xuntil6(s85)) | until5(s86))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s85, s86)) | (~xuntil6(s85)) | until5(s86))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(757,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s85, s86)) | (~xuntil6(s85)) | until5(s86))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(758,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s85, s86)) | (~xuntil6(s85)) | until5(s86)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[757, 756])).
% 0.70/0.87 tff(759,plain,
% 0.70/0.87 ((~xuntil6(s85)) | until5(s86)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[758, 755, 632])).
% 0.70/0.87 tff(760,plain,
% 0.70/0.87 (~xuntil6(s85)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[759, 752])).
% 0.70/0.87 tff(761,plain,
% 0.70/0.87 (~always3(s86)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[731, 588])).
% 0.70/0.87 tff(762,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(763,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(764,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[763, 762])).
% 0.70/0.87 tff(765,plain,
% 0.70/0.87 (trans(s85, s86)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[764, 755, 33])).
% 0.70/0.87 tff(766,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s85, s86)) | (~always3(s85)) | always3(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s85, s86)) | (~always3(s85)) | always3(s86))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(767,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s85, s86)) | (~always3(s85)) | always3(s86))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(768,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s85, s86)) | (~always3(s85)) | always3(s86)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[767, 766])).
% 0.70/0.87 tff(769,plain,
% 0.70/0.87 ((~always3(s85)) | always3(s86)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[768, 50, 765])).
% 0.70/0.87 tff(770,plain,
% 0.70/0.87 (~always3(s85)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[769, 761])).
% 0.70/0.87 tff(771,plain,
% 0.70/0.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s85) | (~node4(s85)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s85) | (~node4(s85)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(772,plain,
% 0.70/0.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s85) | (~node4(s85)))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(773,plain,
% 0.70/0.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s85) | (~node4(s85))),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[772, 771])).
% 0.70/0.87 tff(774,plain,
% 0.70/0.87 (~node4(s85)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[773, 595, 770])).
% 0.70/0.87 tff(775,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s85) | node4(s85) | (~until5(s85)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s85) | node4(s85) | (~until5(s85)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(776,plain,
% 0.70/0.87 ((node4(s85) | (~until5(s85)) | xuntil6(s85)) <=> (xuntil6(s85) | node4(s85) | (~until5(s85)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(777,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s85) | (~until5(s85)) | xuntil6(s85))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s85) | node4(s85) | (~until5(s85))))),
% 0.70/0.87 inference(monotonicity,[status(thm)],[776])).
% 0.70/0.87 tff(778,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s85) | (~until5(s85)) | xuntil6(s85))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s85) | node4(s85) | (~until5(s85)))),
% 0.70/0.87 inference(transitivity,[status(thm)],[777, 775])).
% 0.70/0.87 tff(779,plain,
% 0.70/0.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s85) | (~until5(s85)) | xuntil6(s85))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(780,plain,
% 0.70/0.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s85) | node4(s85) | (~until5(s85))),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[779, 778])).
% 0.70/0.87 tff(781,plain,
% 0.70/0.87 (xuntil6(s85) | (~until5(s85))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[780, 614, 774])).
% 0.70/0.87 tff(782,plain,
% 0.70/0.87 (~until5(s85)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[781, 760])).
% 0.70/0.87 tff(783,plain,
% 0.70/0.87 (succ(s84, s85) <=> succ(s84, s85)),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(784,axiom,(succ(s84, s85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound85')).
% 0.70/0.87 tff(785,plain,
% 0.70/0.87 (succ(s84, s85)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[784, 783])).
% 0.70/0.87 tff(786,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(787,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(788,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[787, 786])).
% 0.70/0.87 tff(789,plain,
% 0.70/0.87 ((~xuntil6(s84)) | until5(s85)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[788, 785, 632])).
% 0.70/0.87 tff(790,plain,
% 0.70/0.87 (~xuntil6(s84)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[789, 782])).
% 0.70/0.87 tff(791,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(792,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(793,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[792, 791])).
% 0.70/0.87 tff(794,plain,
% 0.70/0.87 (trans(s84, s85)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[793, 785, 33])).
% 0.70/0.87 tff(795,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s84, s85)) | (~always3(s84)) | always3(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s84, s85)) | (~always3(s84)) | always3(s85))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(796,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s84, s85)) | (~always3(s84)) | always3(s85))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(797,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s84, s85)) | (~always3(s84)) | always3(s85)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[796, 795])).
% 0.70/0.87 tff(798,plain,
% 0.70/0.87 ((~always3(s84)) | always3(s85)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[797, 50, 794])).
% 0.70/0.87 tff(799,plain,
% 0.70/0.87 (~always3(s84)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[798, 770])).
% 0.70/0.87 tff(800,plain,
% 0.70/0.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s84) | (~node4(s84)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s84) | (~node4(s84)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(801,plain,
% 0.70/0.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s84) | (~node4(s84)))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(802,plain,
% 0.70/0.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s84) | (~node4(s84))),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[801, 800])).
% 0.70/0.87 tff(803,plain,
% 0.70/0.87 (~node4(s84)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[802, 595, 799])).
% 0.70/0.87 tff(804,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s84) | node4(s84) | (~until5(s84)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s84) | node4(s84) | (~until5(s84)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(805,plain,
% 0.70/0.87 ((node4(s84) | (~until5(s84)) | xuntil6(s84)) <=> (xuntil6(s84) | node4(s84) | (~until5(s84)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(806,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s84) | (~until5(s84)) | xuntil6(s84))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s84) | node4(s84) | (~until5(s84))))),
% 0.70/0.87 inference(monotonicity,[status(thm)],[805])).
% 0.70/0.87 tff(807,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s84) | (~until5(s84)) | xuntil6(s84))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s84) | node4(s84) | (~until5(s84)))),
% 0.70/0.87 inference(transitivity,[status(thm)],[806, 804])).
% 0.70/0.87 tff(808,plain,
% 0.70/0.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s84) | (~until5(s84)) | xuntil6(s84))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(809,plain,
% 0.70/0.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s84) | node4(s84) | (~until5(s84))),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[808, 807])).
% 0.70/0.87 tff(810,plain,
% 0.70/0.87 (xuntil6(s84) | (~until5(s84))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[809, 614, 803])).
% 0.70/0.87 tff(811,plain,
% 0.70/0.87 (~until5(s84)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[810, 790])).
% 0.70/0.87 tff(812,plain,
% 0.70/0.87 (succ(s83, s84) <=> succ(s83, s84)),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(813,axiom,(succ(s83, s84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound84')).
% 0.70/0.87 tff(814,plain,
% 0.70/0.87 (succ(s83, s84)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[813, 812])).
% 0.70/0.87 tff(815,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s83, s84)) | (~xuntil6(s83)) | until5(s84))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s83, s84)) | (~xuntil6(s83)) | until5(s84))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(816,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s83, s84)) | (~xuntil6(s83)) | until5(s84))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(817,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s83, s84)) | (~xuntil6(s83)) | until5(s84)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[816, 815])).
% 0.70/0.87 tff(818,plain,
% 0.70/0.87 ((~xuntil6(s83)) | until5(s84)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[817, 814, 632])).
% 0.70/0.87 tff(819,plain,
% 0.70/0.87 (~xuntil6(s83)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[818, 811])).
% 0.70/0.87 tff(820,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(821,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(822,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[821, 820])).
% 0.70/0.87 tff(823,plain,
% 0.70/0.87 (trans(s83, s84)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[822, 814, 33])).
% 0.70/0.87 tff(824,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s83, s84)) | (~always3(s83)) | always3(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s83, s84)) | (~always3(s83)) | always3(s84))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(825,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s83, s84)) | (~always3(s83)) | always3(s84))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(826,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s83, s84)) | (~always3(s83)) | always3(s84)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[825, 824])).
% 0.70/0.87 tff(827,plain,
% 0.70/0.87 ((~always3(s83)) | always3(s84)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[826, 50, 823])).
% 0.70/0.87 tff(828,plain,
% 0.70/0.87 (~always3(s83)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[827, 799])).
% 0.70/0.87 tff(829,plain,
% 0.70/0.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s83) | (~node4(s83)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s83) | (~node4(s83)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(830,plain,
% 0.70/0.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s83) | (~node4(s83)))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(831,plain,
% 0.70/0.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s83) | (~node4(s83))),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[830, 829])).
% 0.70/0.87 tff(832,plain,
% 0.70/0.87 (~node4(s83)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[831, 595, 828])).
% 0.70/0.87 tff(833,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s83) | node4(s83) | (~until5(s83)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s83) | node4(s83) | (~until5(s83)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(834,plain,
% 0.70/0.87 ((node4(s83) | (~until5(s83)) | xuntil6(s83)) <=> (xuntil6(s83) | node4(s83) | (~until5(s83)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(835,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s83) | (~until5(s83)) | xuntil6(s83))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s83) | node4(s83) | (~until5(s83))))),
% 0.70/0.87 inference(monotonicity,[status(thm)],[834])).
% 0.70/0.87 tff(836,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s83) | (~until5(s83)) | xuntil6(s83))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s83) | node4(s83) | (~until5(s83)))),
% 0.70/0.87 inference(transitivity,[status(thm)],[835, 833])).
% 0.70/0.87 tff(837,plain,
% 0.70/0.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s83) | (~until5(s83)) | xuntil6(s83))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(838,plain,
% 0.70/0.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s83) | node4(s83) | (~until5(s83))),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[837, 836])).
% 0.70/0.87 tff(839,plain,
% 0.70/0.87 (xuntil6(s83) | (~until5(s83))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[838, 614, 832])).
% 0.70/0.87 tff(840,plain,
% 0.70/0.87 (~until5(s83)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[839, 819])).
% 0.70/0.87 tff(841,plain,
% 0.70/0.87 (succ(s82, s83) <=> succ(s82, s83)),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(842,axiom,(succ(s82, s83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound83')).
% 0.70/0.87 tff(843,plain,
% 0.70/0.87 (succ(s82, s83)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[842, 841])).
% 0.70/0.87 tff(844,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s82, s83)) | (~xuntil6(s82)) | until5(s83))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s82, s83)) | (~xuntil6(s82)) | until5(s83))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(845,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s82, s83)) | (~xuntil6(s82)) | until5(s83))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(846,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s82, s83)) | (~xuntil6(s82)) | until5(s83)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[845, 844])).
% 0.70/0.87 tff(847,plain,
% 0.70/0.87 ((~xuntil6(s82)) | until5(s83)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[846, 843, 632])).
% 0.70/0.87 tff(848,plain,
% 0.70/0.87 (~xuntil6(s82)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[847, 840])).
% 0.70/0.87 tff(849,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(850,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(851,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[850, 849])).
% 0.70/0.87 tff(852,plain,
% 0.70/0.87 (trans(s82, s83)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[851, 843, 33])).
% 0.70/0.87 tff(853,plain,
% 0.70/0.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s82, s83)) | (~always3(s82)) | always3(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s82, s83)) | (~always3(s82)) | always3(s83))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(854,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s82, s83)) | (~always3(s82)) | always3(s83))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(855,plain,
% 0.70/0.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s82, s83)) | (~always3(s82)) | always3(s83)),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[854, 853])).
% 0.70/0.87 tff(856,plain,
% 0.70/0.87 ((~always3(s82)) | always3(s83)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[855, 50, 852])).
% 0.70/0.87 tff(857,plain,
% 0.70/0.87 (~always3(s82)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[856, 828])).
% 0.70/0.87 tff(858,plain,
% 0.70/0.87 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s82) | (~node4(s82)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s82) | (~node4(s82)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(859,plain,
% 0.70/0.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s82) | (~node4(s82)))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(860,plain,
% 0.70/0.87 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s82) | (~node4(s82))),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[859, 858])).
% 0.70/0.87 tff(861,plain,
% 0.70/0.87 (~node4(s82)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[860, 595, 857])).
% 0.70/0.87 tff(862,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s82) | node4(s82) | (~until5(s82)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s82) | node4(s82) | (~until5(s82)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(863,plain,
% 0.70/0.87 ((node4(s82) | (~until5(s82)) | xuntil6(s82)) <=> (xuntil6(s82) | node4(s82) | (~until5(s82)))),
% 0.70/0.87 inference(rewrite,[status(thm)],[])).
% 0.70/0.87 tff(864,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s82) | (~until5(s82)) | xuntil6(s82))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s82) | node4(s82) | (~until5(s82))))),
% 0.70/0.87 inference(monotonicity,[status(thm)],[863])).
% 0.70/0.87 tff(865,plain,
% 0.70/0.87 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s82) | (~until5(s82)) | xuntil6(s82))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s82) | node4(s82) | (~until5(s82)))),
% 0.70/0.87 inference(transitivity,[status(thm)],[864, 862])).
% 0.70/0.87 tff(866,plain,
% 0.70/0.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s82) | (~until5(s82)) | xuntil6(s82))),
% 0.70/0.87 inference(quant_inst,[status(thm)],[])).
% 0.70/0.87 tff(867,plain,
% 0.70/0.87 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s82) | node4(s82) | (~until5(s82))),
% 0.70/0.87 inference(modus_ponens,[status(thm)],[866, 865])).
% 0.70/0.87 tff(868,plain,
% 0.70/0.87 (xuntil6(s82) | (~until5(s82))),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[867, 614, 861])).
% 0.70/0.87 tff(869,plain,
% 0.70/0.87 (~until5(s82)),
% 0.70/0.87 inference(unit_resolution,[status(thm)],[868, 848])).
% 0.70/0.88 tff(870,plain,
% 0.70/0.88 (succ(s81, s82) <=> succ(s81, s82)),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(871,axiom,(succ(s81, s82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound82')).
% 0.70/0.88 tff(872,plain,
% 0.70/0.88 (succ(s81, s82)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[871, 870])).
% 0.70/0.88 tff(873,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s81, s82)) | (~xuntil6(s81)) | until5(s82))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s81, s82)) | (~xuntil6(s81)) | until5(s82))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(874,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s81, s82)) | (~xuntil6(s81)) | until5(s82))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(875,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s81, s82)) | (~xuntil6(s81)) | until5(s82)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[874, 873])).
% 0.70/0.88 tff(876,plain,
% 0.70/0.88 ((~xuntil6(s81)) | until5(s82)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[875, 872, 632])).
% 0.70/0.88 tff(877,plain,
% 0.70/0.88 (~xuntil6(s81)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[876, 869])).
% 0.70/0.88 tff(878,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(879,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(880,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[879, 878])).
% 0.70/0.88 tff(881,plain,
% 0.70/0.88 (trans(s81, s82)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[880, 872, 33])).
% 0.70/0.88 tff(882,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s81, s82)) | (~always3(s81)) | always3(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s81, s82)) | (~always3(s81)) | always3(s82))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(883,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s81, s82)) | (~always3(s81)) | always3(s82))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(884,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s81, s82)) | (~always3(s81)) | always3(s82)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[883, 882])).
% 0.70/0.88 tff(885,plain,
% 0.70/0.88 ((~always3(s81)) | always3(s82)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[884, 50, 881])).
% 0.70/0.88 tff(886,plain,
% 0.70/0.88 (~always3(s81)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[885, 857])).
% 0.70/0.88 tff(887,plain,
% 0.70/0.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s81) | (~node4(s81)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s81) | (~node4(s81)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(888,plain,
% 0.70/0.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s81) | (~node4(s81)))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(889,plain,
% 0.70/0.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s81) | (~node4(s81))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[888, 887])).
% 0.70/0.88 tff(890,plain,
% 0.70/0.88 (~node4(s81)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[889, 595, 886])).
% 0.70/0.88 tff(891,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s81) | node4(s81) | (~until5(s81)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s81) | node4(s81) | (~until5(s81)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(892,plain,
% 0.70/0.88 ((node4(s81) | (~until5(s81)) | xuntil6(s81)) <=> (xuntil6(s81) | node4(s81) | (~until5(s81)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(893,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s81) | (~until5(s81)) | xuntil6(s81))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s81) | node4(s81) | (~until5(s81))))),
% 0.70/0.88 inference(monotonicity,[status(thm)],[892])).
% 0.70/0.88 tff(894,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s81) | (~until5(s81)) | xuntil6(s81))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s81) | node4(s81) | (~until5(s81)))),
% 0.70/0.88 inference(transitivity,[status(thm)],[893, 891])).
% 0.70/0.88 tff(895,plain,
% 0.70/0.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s81) | (~until5(s81)) | xuntil6(s81))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(896,plain,
% 0.70/0.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s81) | node4(s81) | (~until5(s81))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[895, 894])).
% 0.70/0.88 tff(897,plain,
% 0.70/0.88 (xuntil6(s81) | (~until5(s81))),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[896, 614, 890])).
% 0.70/0.88 tff(898,plain,
% 0.70/0.88 (~until5(s81)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[897, 877])).
% 0.70/0.88 tff(899,plain,
% 0.70/0.88 (succ(s80, s81) <=> succ(s80, s81)),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(900,axiom,(succ(s80, s81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound81')).
% 0.70/0.88 tff(901,plain,
% 0.70/0.88 (succ(s80, s81)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[900, 899])).
% 0.70/0.88 tff(902,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s80, s81)) | (~xuntil6(s80)) | until5(s81))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s80, s81)) | (~xuntil6(s80)) | until5(s81))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(903,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s80, s81)) | (~xuntil6(s80)) | until5(s81))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(904,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s80, s81)) | (~xuntil6(s80)) | until5(s81)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[903, 902])).
% 0.70/0.88 tff(905,plain,
% 0.70/0.88 ((~xuntil6(s80)) | until5(s81)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[904, 901, 632])).
% 0.70/0.88 tff(906,plain,
% 0.70/0.88 (~xuntil6(s80)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[905, 898])).
% 0.70/0.88 tff(907,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(908,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(909,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[908, 907])).
% 0.70/0.88 tff(910,plain,
% 0.70/0.88 (trans(s80, s81)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[909, 901, 33])).
% 0.70/0.88 tff(911,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s80, s81)) | (~always3(s80)) | always3(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s80, s81)) | (~always3(s80)) | always3(s81))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(912,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s80, s81)) | (~always3(s80)) | always3(s81))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(913,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s80, s81)) | (~always3(s80)) | always3(s81)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[912, 911])).
% 0.70/0.88 tff(914,plain,
% 0.70/0.88 ((~always3(s80)) | always3(s81)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[913, 50, 910])).
% 0.70/0.88 tff(915,plain,
% 0.70/0.88 (~always3(s80)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[914, 886])).
% 0.70/0.88 tff(916,plain,
% 0.70/0.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s80) | (~node4(s80)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s80) | (~node4(s80)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(917,plain,
% 0.70/0.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s80) | (~node4(s80)))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(918,plain,
% 0.70/0.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s80) | (~node4(s80))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[917, 916])).
% 0.70/0.88 tff(919,plain,
% 0.70/0.88 (~node4(s80)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[918, 595, 915])).
% 0.70/0.88 tff(920,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s80) | node4(s80) | (~until5(s80)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s80) | node4(s80) | (~until5(s80)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(921,plain,
% 0.70/0.88 ((node4(s80) | (~until5(s80)) | xuntil6(s80)) <=> (xuntil6(s80) | node4(s80) | (~until5(s80)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(922,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s80) | (~until5(s80)) | xuntil6(s80))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s80) | node4(s80) | (~until5(s80))))),
% 0.70/0.88 inference(monotonicity,[status(thm)],[921])).
% 0.70/0.88 tff(923,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s80) | (~until5(s80)) | xuntil6(s80))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s80) | node4(s80) | (~until5(s80)))),
% 0.70/0.88 inference(transitivity,[status(thm)],[922, 920])).
% 0.70/0.88 tff(924,plain,
% 0.70/0.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s80) | (~until5(s80)) | xuntil6(s80))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(925,plain,
% 0.70/0.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s80) | node4(s80) | (~until5(s80))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[924, 923])).
% 0.70/0.88 tff(926,plain,
% 0.70/0.88 (xuntil6(s80) | (~until5(s80))),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[925, 614, 919])).
% 0.70/0.88 tff(927,plain,
% 0.70/0.88 (~until5(s80)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[926, 906])).
% 0.70/0.88 tff(928,plain,
% 0.70/0.88 (succ(s79, s80) <=> succ(s79, s80)),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(929,axiom,(succ(s79, s80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound80')).
% 0.70/0.88 tff(930,plain,
% 0.70/0.88 (succ(s79, s80)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[929, 928])).
% 0.70/0.88 tff(931,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s79, s80)) | (~xuntil6(s79)) | until5(s80))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s79, s80)) | (~xuntil6(s79)) | until5(s80))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(932,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s79, s80)) | (~xuntil6(s79)) | until5(s80))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(933,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s79, s80)) | (~xuntil6(s79)) | until5(s80)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[932, 931])).
% 0.70/0.88 tff(934,plain,
% 0.70/0.88 ((~xuntil6(s79)) | until5(s80)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[933, 930, 632])).
% 0.70/0.88 tff(935,plain,
% 0.70/0.88 (~xuntil6(s79)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[934, 927])).
% 0.70/0.88 tff(936,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(937,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(938,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[937, 936])).
% 0.70/0.88 tff(939,plain,
% 0.70/0.88 (trans(s79, s80)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[938, 930, 33])).
% 0.70/0.88 tff(940,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s79, s80)) | (~always3(s79)) | always3(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s79, s80)) | (~always3(s79)) | always3(s80))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(941,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s79, s80)) | (~always3(s79)) | always3(s80))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(942,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s79, s80)) | (~always3(s79)) | always3(s80)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[941, 940])).
% 0.70/0.88 tff(943,plain,
% 0.70/0.88 ((~always3(s79)) | always3(s80)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[942, 50, 939])).
% 0.70/0.88 tff(944,plain,
% 0.70/0.88 (~always3(s79)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[943, 915])).
% 0.70/0.88 tff(945,plain,
% 0.70/0.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s79) | (~node4(s79)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s79) | (~node4(s79)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(946,plain,
% 0.70/0.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s79) | (~node4(s79)))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(947,plain,
% 0.70/0.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s79) | (~node4(s79))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[946, 945])).
% 0.70/0.88 tff(948,plain,
% 0.70/0.88 (~node4(s79)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[947, 595, 944])).
% 0.70/0.88 tff(949,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s79) | node4(s79) | (~until5(s79)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s79) | node4(s79) | (~until5(s79)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(950,plain,
% 0.70/0.88 ((node4(s79) | (~until5(s79)) | xuntil6(s79)) <=> (xuntil6(s79) | node4(s79) | (~until5(s79)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(951,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s79) | (~until5(s79)) | xuntil6(s79))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s79) | node4(s79) | (~until5(s79))))),
% 0.70/0.88 inference(monotonicity,[status(thm)],[950])).
% 0.70/0.88 tff(952,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s79) | (~until5(s79)) | xuntil6(s79))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s79) | node4(s79) | (~until5(s79)))),
% 0.70/0.88 inference(transitivity,[status(thm)],[951, 949])).
% 0.70/0.88 tff(953,plain,
% 0.70/0.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s79) | (~until5(s79)) | xuntil6(s79))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(954,plain,
% 0.70/0.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s79) | node4(s79) | (~until5(s79))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[953, 952])).
% 0.70/0.88 tff(955,plain,
% 0.70/0.88 (xuntil6(s79) | (~until5(s79))),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[954, 614, 948])).
% 0.70/0.88 tff(956,plain,
% 0.70/0.88 (~until5(s79)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[955, 935])).
% 0.70/0.88 tff(957,plain,
% 0.70/0.88 (succ(s78, s79) <=> succ(s78, s79)),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(958,axiom,(succ(s78, s79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound79')).
% 0.70/0.88 tff(959,plain,
% 0.70/0.88 (succ(s78, s79)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[958, 957])).
% 0.70/0.88 tff(960,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s78, s79)) | (~xuntil6(s78)) | until5(s79))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s78, s79)) | (~xuntil6(s78)) | until5(s79))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(961,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s78, s79)) | (~xuntil6(s78)) | until5(s79))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(962,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s78, s79)) | (~xuntil6(s78)) | until5(s79)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[961, 960])).
% 0.70/0.88 tff(963,plain,
% 0.70/0.88 ((~xuntil6(s78)) | until5(s79)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[962, 959, 632])).
% 0.70/0.88 tff(964,plain,
% 0.70/0.88 (~xuntil6(s78)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[963, 956])).
% 0.70/0.88 tff(965,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(966,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(967,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[966, 965])).
% 0.70/0.88 tff(968,plain,
% 0.70/0.88 (trans(s78, s79)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[967, 959, 33])).
% 0.70/0.88 tff(969,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s78, s79)) | (~always3(s78)) | always3(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s78, s79)) | (~always3(s78)) | always3(s79))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(970,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s78, s79)) | (~always3(s78)) | always3(s79))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(971,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s78, s79)) | (~always3(s78)) | always3(s79)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[970, 969])).
% 0.70/0.88 tff(972,plain,
% 0.70/0.88 ((~always3(s78)) | always3(s79)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[971, 50, 968])).
% 0.70/0.88 tff(973,plain,
% 0.70/0.88 (~always3(s78)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[972, 944])).
% 0.70/0.88 tff(974,plain,
% 0.70/0.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s78) | (~node4(s78)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s78) | (~node4(s78)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(975,plain,
% 0.70/0.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s78) | (~node4(s78)))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(976,plain,
% 0.70/0.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s78) | (~node4(s78))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[975, 974])).
% 0.70/0.88 tff(977,plain,
% 0.70/0.88 (~node4(s78)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[976, 595, 973])).
% 0.70/0.88 tff(978,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s78) | node4(s78) | (~until5(s78)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s78) | node4(s78) | (~until5(s78)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(979,plain,
% 0.70/0.88 ((node4(s78) | (~until5(s78)) | xuntil6(s78)) <=> (xuntil6(s78) | node4(s78) | (~until5(s78)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(980,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s78) | (~until5(s78)) | xuntil6(s78))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s78) | node4(s78) | (~until5(s78))))),
% 0.70/0.88 inference(monotonicity,[status(thm)],[979])).
% 0.70/0.88 tff(981,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s78) | (~until5(s78)) | xuntil6(s78))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s78) | node4(s78) | (~until5(s78)))),
% 0.70/0.88 inference(transitivity,[status(thm)],[980, 978])).
% 0.70/0.88 tff(982,plain,
% 0.70/0.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s78) | (~until5(s78)) | xuntil6(s78))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(983,plain,
% 0.70/0.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s78) | node4(s78) | (~until5(s78))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[982, 981])).
% 0.70/0.88 tff(984,plain,
% 0.70/0.88 (xuntil6(s78) | (~until5(s78))),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[983, 614, 977])).
% 0.70/0.88 tff(985,plain,
% 0.70/0.88 (~until5(s78)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[984, 964])).
% 0.70/0.88 tff(986,plain,
% 0.70/0.88 (succ(s77, s78) <=> succ(s77, s78)),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(987,axiom,(succ(s77, s78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound78')).
% 0.70/0.88 tff(988,plain,
% 0.70/0.88 (succ(s77, s78)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[987, 986])).
% 0.70/0.88 tff(989,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s77, s78)) | (~xuntil6(s77)) | until5(s78))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s77, s78)) | (~xuntil6(s77)) | until5(s78))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(990,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s77, s78)) | (~xuntil6(s77)) | until5(s78))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(991,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s77, s78)) | (~xuntil6(s77)) | until5(s78)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[990, 989])).
% 0.70/0.88 tff(992,plain,
% 0.70/0.88 ((~xuntil6(s77)) | until5(s78)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[991, 988, 632])).
% 0.70/0.88 tff(993,plain,
% 0.70/0.88 (~xuntil6(s77)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[992, 985])).
% 0.70/0.88 tff(994,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(995,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(996,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[995, 994])).
% 0.70/0.88 tff(997,plain,
% 0.70/0.88 (trans(s77, s78)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[996, 988, 33])).
% 0.70/0.88 tff(998,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s77, s78)) | (~always3(s77)) | always3(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s77, s78)) | (~always3(s77)) | always3(s78))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(999,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s77, s78)) | (~always3(s77)) | always3(s78))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(1000,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s77, s78)) | (~always3(s77)) | always3(s78)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[999, 998])).
% 0.70/0.88 tff(1001,plain,
% 0.70/0.88 ((~always3(s77)) | always3(s78)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1000, 50, 997])).
% 0.70/0.88 tff(1002,plain,
% 0.70/0.88 (~always3(s77)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1001, 973])).
% 0.70/0.88 tff(1003,plain,
% 0.70/0.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s77) | (~node4(s77)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s77) | (~node4(s77)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1004,plain,
% 0.70/0.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s77) | (~node4(s77)))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(1005,plain,
% 0.70/0.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s77) | (~node4(s77))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[1004, 1003])).
% 0.70/0.88 tff(1006,plain,
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% 0.70/0.88 inference(unit_resolution,[status(thm)],[1005, 595, 1002])).
% 0.70/0.88 tff(1007,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s77) | node4(s77) | (~until5(s77)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s77) | node4(s77) | (~until5(s77)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1008,plain,
% 0.70/0.88 ((node4(s77) | (~until5(s77)) | xuntil6(s77)) <=> (xuntil6(s77) | node4(s77) | (~until5(s77)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1009,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s77) | (~until5(s77)) | xuntil6(s77))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s77) | node4(s77) | (~until5(s77))))),
% 0.70/0.88 inference(monotonicity,[status(thm)],[1008])).
% 0.70/0.88 tff(1010,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s77) | (~until5(s77)) | xuntil6(s77))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s77) | node4(s77) | (~until5(s77)))),
% 0.70/0.88 inference(transitivity,[status(thm)],[1009, 1007])).
% 0.70/0.88 tff(1011,plain,
% 0.70/0.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s77) | (~until5(s77)) | xuntil6(s77))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(1012,plain,
% 0.70/0.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s77) | node4(s77) | (~until5(s77))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[1011, 1010])).
% 0.70/0.88 tff(1013,plain,
% 0.70/0.88 (xuntil6(s77) | (~until5(s77))),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1012, 614, 1006])).
% 0.70/0.88 tff(1014,plain,
% 0.70/0.88 (~until5(s77)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1013, 993])).
% 0.70/0.88 tff(1015,plain,
% 0.70/0.88 (succ(s76, s77) <=> succ(s76, s77)),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1016,axiom,(succ(s76, s77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound77')).
% 0.70/0.88 tff(1017,plain,
% 0.70/0.88 (succ(s76, s77)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[1016, 1015])).
% 0.70/0.88 tff(1018,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s76, s77)) | (~xuntil6(s76)) | until5(s77))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s76, s77)) | (~xuntil6(s76)) | until5(s77))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1019,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s76, s77)) | (~xuntil6(s76)) | until5(s77))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(1020,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s76, s77)) | (~xuntil6(s76)) | until5(s77)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[1019, 1018])).
% 0.70/0.88 tff(1021,plain,
% 0.70/0.88 ((~xuntil6(s76)) | until5(s77)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1020, 1017, 632])).
% 0.70/0.88 tff(1022,plain,
% 0.70/0.88 (~xuntil6(s76)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1021, 1014])).
% 0.70/0.88 tff(1023,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1024,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(1025,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[1024, 1023])).
% 0.70/0.88 tff(1026,plain,
% 0.70/0.88 (trans(s76, s77)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1025, 1017, 33])).
% 0.70/0.88 tff(1027,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s76, s77)) | (~always3(s76)) | always3(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s76, s77)) | (~always3(s76)) | always3(s77))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1028,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s76, s77)) | (~always3(s76)) | always3(s77))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(1029,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s76, s77)) | (~always3(s76)) | always3(s77)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[1028, 1027])).
% 0.70/0.88 tff(1030,plain,
% 0.70/0.88 ((~always3(s76)) | always3(s77)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1029, 50, 1026])).
% 0.70/0.88 tff(1031,plain,
% 0.70/0.88 (~always3(s76)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1030, 1002])).
% 0.70/0.88 tff(1032,plain,
% 0.70/0.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s76) | (~node4(s76)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s76) | (~node4(s76)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1033,plain,
% 0.70/0.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s76) | (~node4(s76)))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(1034,plain,
% 0.70/0.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s76) | (~node4(s76))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 0.70/0.88 tff(1035,plain,
% 0.70/0.88 (~node4(s76)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1034, 595, 1031])).
% 0.70/0.88 tff(1036,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s76) | node4(s76) | (~until5(s76)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s76) | node4(s76) | (~until5(s76)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1037,plain,
% 0.70/0.88 ((node4(s76) | (~until5(s76)) | xuntil6(s76)) <=> (xuntil6(s76) | node4(s76) | (~until5(s76)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1038,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s76) | (~until5(s76)) | xuntil6(s76))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s76) | node4(s76) | (~until5(s76))))),
% 0.70/0.88 inference(monotonicity,[status(thm)],[1037])).
% 0.70/0.88 tff(1039,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s76) | (~until5(s76)) | xuntil6(s76))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s76) | node4(s76) | (~until5(s76)))),
% 0.70/0.88 inference(transitivity,[status(thm)],[1038, 1036])).
% 0.70/0.88 tff(1040,plain,
% 0.70/0.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s76) | (~until5(s76)) | xuntil6(s76))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(1041,plain,
% 0.70/0.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s76) | node4(s76) | (~until5(s76))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[1040, 1039])).
% 0.70/0.88 tff(1042,plain,
% 0.70/0.88 (xuntil6(s76) | (~until5(s76))),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1041, 614, 1035])).
% 0.70/0.88 tff(1043,plain,
% 0.70/0.88 (~until5(s76)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1042, 1022])).
% 0.70/0.88 tff(1044,plain,
% 0.70/0.88 (succ(s75, s76) <=> succ(s75, s76)),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1045,axiom,(succ(s75, s76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound76')).
% 0.70/0.88 tff(1046,plain,
% 0.70/0.88 (succ(s75, s76)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 0.70/0.88 tff(1047,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s75, s76)) | (~xuntil6(s75)) | until5(s76))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s75, s76)) | (~xuntil6(s75)) | until5(s76))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1048,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s75, s76)) | (~xuntil6(s75)) | until5(s76))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(1049,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s75, s76)) | (~xuntil6(s75)) | until5(s76)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[1048, 1047])).
% 0.70/0.88 tff(1050,plain,
% 0.70/0.88 ((~xuntil6(s75)) | until5(s76)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1049, 1046, 632])).
% 0.70/0.88 tff(1051,plain,
% 0.70/0.88 (~xuntil6(s75)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1050, 1043])).
% 0.70/0.88 tff(1052,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1053,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(1054,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[1053, 1052])).
% 0.70/0.88 tff(1055,plain,
% 0.70/0.88 (trans(s75, s76)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1054, 1046, 33])).
% 0.70/0.88 tff(1056,plain,
% 0.70/0.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s75, s76)) | (~always3(s75)) | always3(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s75, s76)) | (~always3(s75)) | always3(s76))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1057,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s75, s76)) | (~always3(s75)) | always3(s76))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(1058,plain,
% 0.70/0.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s75, s76)) | (~always3(s75)) | always3(s76)),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[1057, 1056])).
% 0.70/0.88 tff(1059,plain,
% 0.70/0.88 ((~always3(s75)) | always3(s76)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1058, 50, 1055])).
% 0.70/0.88 tff(1060,plain,
% 0.70/0.88 (~always3(s75)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1059, 1031])).
% 0.70/0.88 tff(1061,plain,
% 0.70/0.88 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s75) | (~node4(s75)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s75) | (~node4(s75)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1062,plain,
% 0.70/0.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s75) | (~node4(s75)))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(1063,plain,
% 0.70/0.88 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s75) | (~node4(s75))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[1062, 1061])).
% 0.70/0.88 tff(1064,plain,
% 0.70/0.88 (~node4(s75)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1063, 595, 1060])).
% 0.70/0.88 tff(1065,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s75) | node4(s75) | (~until5(s75)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s75) | node4(s75) | (~until5(s75)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1066,plain,
% 0.70/0.88 ((node4(s75) | (~until5(s75)) | xuntil6(s75)) <=> (xuntil6(s75) | node4(s75) | (~until5(s75)))),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1067,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s75) | (~until5(s75)) | xuntil6(s75))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s75) | node4(s75) | (~until5(s75))))),
% 0.70/0.88 inference(monotonicity,[status(thm)],[1066])).
% 0.70/0.88 tff(1068,plain,
% 0.70/0.88 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s75) | (~until5(s75)) | xuntil6(s75))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s75) | node4(s75) | (~until5(s75)))),
% 0.70/0.88 inference(transitivity,[status(thm)],[1067, 1065])).
% 0.70/0.88 tff(1069,plain,
% 0.70/0.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s75) | (~until5(s75)) | xuntil6(s75))),
% 0.70/0.88 inference(quant_inst,[status(thm)],[])).
% 0.70/0.88 tff(1070,plain,
% 0.70/0.88 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s75) | node4(s75) | (~until5(s75))),
% 0.70/0.88 inference(modus_ponens,[status(thm)],[1069, 1068])).
% 0.70/0.88 tff(1071,plain,
% 0.70/0.88 (xuntil6(s75) | (~until5(s75))),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1070, 614, 1064])).
% 0.70/0.88 tff(1072,plain,
% 0.70/0.88 (~until5(s75)),
% 0.70/0.88 inference(unit_resolution,[status(thm)],[1071, 1051])).
% 0.70/0.88 tff(1073,plain,
% 0.70/0.88 (succ(s74, s75) <=> succ(s74, s75)),
% 0.70/0.88 inference(rewrite,[status(thm)],[])).
% 0.70/0.88 tff(1074,axiom,(succ(s74, s75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound75')).
% 0.70/0.89 tff(1075,plain,
% 0.70/0.89 (succ(s74, s75)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1074, 1073])).
% 0.70/0.89 tff(1076,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s74, s75)) | (~xuntil6(s74)) | until5(s75))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s74, s75)) | (~xuntil6(s74)) | until5(s75))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1077,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s74, s75)) | (~xuntil6(s74)) | until5(s75))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1078,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s74, s75)) | (~xuntil6(s74)) | until5(s75)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1077, 1076])).
% 0.70/0.89 tff(1079,plain,
% 0.70/0.89 ((~xuntil6(s74)) | until5(s75)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1078, 1075, 632])).
% 0.70/0.89 tff(1080,plain,
% 0.70/0.89 (~xuntil6(s74)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1079, 1072])).
% 0.70/0.89 tff(1081,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1082,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1083,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1082, 1081])).
% 0.70/0.89 tff(1084,plain,
% 0.70/0.89 (trans(s74, s75)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1083, 1075, 33])).
% 0.70/0.89 tff(1085,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s74, s75)) | (~always3(s74)) | always3(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s74, s75)) | (~always3(s74)) | always3(s75))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1086,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s74, s75)) | (~always3(s74)) | always3(s75))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1087,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s74, s75)) | (~always3(s74)) | always3(s75)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1086, 1085])).
% 0.70/0.89 tff(1088,plain,
% 0.70/0.89 ((~always3(s74)) | always3(s75)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1087, 50, 1084])).
% 0.70/0.89 tff(1089,plain,
% 0.70/0.89 (~always3(s74)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1088, 1060])).
% 0.70/0.89 tff(1090,plain,
% 0.70/0.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s74) | (~node4(s74)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s74) | (~node4(s74)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1091,plain,
% 0.70/0.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s74) | (~node4(s74)))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1092,plain,
% 0.70/0.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s74) | (~node4(s74))),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1091, 1090])).
% 0.70/0.89 tff(1093,plain,
% 0.70/0.89 (~node4(s74)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1092, 595, 1089])).
% 0.70/0.89 tff(1094,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s74) | node4(s74) | (~until5(s74)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s74) | node4(s74) | (~until5(s74)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1095,plain,
% 0.70/0.89 ((node4(s74) | (~until5(s74)) | xuntil6(s74)) <=> (xuntil6(s74) | node4(s74) | (~until5(s74)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1096,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s74) | (~until5(s74)) | xuntil6(s74))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s74) | node4(s74) | (~until5(s74))))),
% 0.70/0.89 inference(monotonicity,[status(thm)],[1095])).
% 0.70/0.89 tff(1097,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s74) | (~until5(s74)) | xuntil6(s74))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s74) | node4(s74) | (~until5(s74)))),
% 0.70/0.89 inference(transitivity,[status(thm)],[1096, 1094])).
% 0.70/0.89 tff(1098,plain,
% 0.70/0.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s74) | (~until5(s74)) | xuntil6(s74))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1099,plain,
% 0.70/0.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s74) | node4(s74) | (~until5(s74))),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 0.70/0.89 tff(1100,plain,
% 0.70/0.89 (xuntil6(s74) | (~until5(s74))),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1099, 614, 1093])).
% 0.70/0.89 tff(1101,plain,
% 0.70/0.89 (~until5(s74)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1100, 1080])).
% 0.70/0.89 tff(1102,plain,
% 0.70/0.89 (succ(s73, s74) <=> succ(s73, s74)),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1103,axiom,(succ(s73, s74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound74')).
% 0.70/0.89 tff(1104,plain,
% 0.70/0.89 (succ(s73, s74)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1103, 1102])).
% 0.70/0.89 tff(1105,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s73, s74)) | (~xuntil6(s73)) | until5(s74))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s73, s74)) | (~xuntil6(s73)) | until5(s74))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1106,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s73, s74)) | (~xuntil6(s73)) | until5(s74))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1107,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s73, s74)) | (~xuntil6(s73)) | until5(s74)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1106, 1105])).
% 0.70/0.89 tff(1108,plain,
% 0.70/0.89 ((~xuntil6(s73)) | until5(s74)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1107, 1104, 632])).
% 0.70/0.89 tff(1109,plain,
% 0.70/0.89 (~xuntil6(s73)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1108, 1101])).
% 0.70/0.89 tff(1110,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1111,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1112,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1111, 1110])).
% 0.70/0.89 tff(1113,plain,
% 0.70/0.89 (trans(s73, s74)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1112, 1104, 33])).
% 0.70/0.89 tff(1114,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s73, s74)) | (~always3(s73)) | always3(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s73, s74)) | (~always3(s73)) | always3(s74))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1115,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s73, s74)) | (~always3(s73)) | always3(s74))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1116,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s73, s74)) | (~always3(s73)) | always3(s74)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1115, 1114])).
% 0.70/0.89 tff(1117,plain,
% 0.70/0.89 ((~always3(s73)) | always3(s74)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1116, 50, 1113])).
% 0.70/0.89 tff(1118,plain,
% 0.70/0.89 (~always3(s73)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1117, 1089])).
% 0.70/0.89 tff(1119,plain,
% 0.70/0.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s73) | (~node4(s73)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s73) | (~node4(s73)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1120,plain,
% 0.70/0.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s73) | (~node4(s73)))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1121,plain,
% 0.70/0.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s73) | (~node4(s73))),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1120, 1119])).
% 0.70/0.89 tff(1122,plain,
% 0.70/0.89 (~node4(s73)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1121, 595, 1118])).
% 0.70/0.89 tff(1123,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s73) | node4(s73) | (~until5(s73)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s73) | node4(s73) | (~until5(s73)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1124,plain,
% 0.70/0.89 ((node4(s73) | (~until5(s73)) | xuntil6(s73)) <=> (xuntil6(s73) | node4(s73) | (~until5(s73)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1125,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s73) | (~until5(s73)) | xuntil6(s73))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s73) | node4(s73) | (~until5(s73))))),
% 0.70/0.89 inference(monotonicity,[status(thm)],[1124])).
% 0.70/0.89 tff(1126,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s73) | (~until5(s73)) | xuntil6(s73))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s73) | node4(s73) | (~until5(s73)))),
% 0.70/0.89 inference(transitivity,[status(thm)],[1125, 1123])).
% 0.70/0.89 tff(1127,plain,
% 0.70/0.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s73) | (~until5(s73)) | xuntil6(s73))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1128,plain,
% 0.70/0.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s73) | node4(s73) | (~until5(s73))),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1127, 1126])).
% 0.70/0.89 tff(1129,plain,
% 0.70/0.89 (xuntil6(s73) | (~until5(s73))),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1128, 614, 1122])).
% 0.70/0.89 tff(1130,plain,
% 0.70/0.89 (~until5(s73)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1129, 1109])).
% 0.70/0.89 tff(1131,plain,
% 0.70/0.89 (succ(s72, s73) <=> succ(s72, s73)),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1132,axiom,(succ(s72, s73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound73')).
% 0.70/0.89 tff(1133,plain,
% 0.70/0.89 (succ(s72, s73)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1132, 1131])).
% 0.70/0.89 tff(1134,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s72, s73)) | (~xuntil6(s72)) | until5(s73))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s72, s73)) | (~xuntil6(s72)) | until5(s73))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1135,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s72, s73)) | (~xuntil6(s72)) | until5(s73))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1136,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s72, s73)) | (~xuntil6(s72)) | until5(s73)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1135, 1134])).
% 0.70/0.89 tff(1137,plain,
% 0.70/0.89 ((~xuntil6(s72)) | until5(s73)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1136, 1133, 632])).
% 0.70/0.89 tff(1138,plain,
% 0.70/0.89 (~xuntil6(s72)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1137, 1130])).
% 0.70/0.89 tff(1139,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1140,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1141,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1140, 1139])).
% 0.70/0.89 tff(1142,plain,
% 0.70/0.89 (trans(s72, s73)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1141, 1133, 33])).
% 0.70/0.89 tff(1143,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s72, s73)) | (~always3(s72)) | always3(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s72, s73)) | (~always3(s72)) | always3(s73))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1144,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s72, s73)) | (~always3(s72)) | always3(s73))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1145,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s72, s73)) | (~always3(s72)) | always3(s73)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1144, 1143])).
% 0.70/0.89 tff(1146,plain,
% 0.70/0.89 ((~always3(s72)) | always3(s73)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1145, 50, 1142])).
% 0.70/0.89 tff(1147,plain,
% 0.70/0.89 (~always3(s72)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1146, 1118])).
% 0.70/0.89 tff(1148,plain,
% 0.70/0.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s72) | (~node4(s72)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s72) | (~node4(s72)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1149,plain,
% 0.70/0.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s72) | (~node4(s72)))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1150,plain,
% 0.70/0.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s72) | (~node4(s72))),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1149, 1148])).
% 0.70/0.89 tff(1151,plain,
% 0.70/0.89 (~node4(s72)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1150, 595, 1147])).
% 0.70/0.89 tff(1152,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s72) | node4(s72) | (~until5(s72)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s72) | node4(s72) | (~until5(s72)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1153,plain,
% 0.70/0.89 ((node4(s72) | (~until5(s72)) | xuntil6(s72)) <=> (xuntil6(s72) | node4(s72) | (~until5(s72)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1154,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s72) | (~until5(s72)) | xuntil6(s72))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s72) | node4(s72) | (~until5(s72))))),
% 0.70/0.89 inference(monotonicity,[status(thm)],[1153])).
% 0.70/0.89 tff(1155,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s72) | (~until5(s72)) | xuntil6(s72))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s72) | node4(s72) | (~until5(s72)))),
% 0.70/0.89 inference(transitivity,[status(thm)],[1154, 1152])).
% 0.70/0.89 tff(1156,plain,
% 0.70/0.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s72) | (~until5(s72)) | xuntil6(s72))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1157,plain,
% 0.70/0.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s72) | node4(s72) | (~until5(s72))),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1156, 1155])).
% 0.70/0.89 tff(1158,plain,
% 0.70/0.89 (xuntil6(s72) | (~until5(s72))),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1157, 614, 1151])).
% 0.70/0.89 tff(1159,plain,
% 0.70/0.89 (~until5(s72)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1158, 1138])).
% 0.70/0.89 tff(1160,plain,
% 0.70/0.89 (succ(s71, s72) <=> succ(s71, s72)),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1161,axiom,(succ(s71, s72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound72')).
% 0.70/0.89 tff(1162,plain,
% 0.70/0.89 (succ(s71, s72)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1161, 1160])).
% 0.70/0.89 tff(1163,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s71, s72)) | (~xuntil6(s71)) | until5(s72))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s71, s72)) | (~xuntil6(s71)) | until5(s72))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1164,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s71, s72)) | (~xuntil6(s71)) | until5(s72))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1165,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s71, s72)) | (~xuntil6(s71)) | until5(s72)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1164, 1163])).
% 0.70/0.89 tff(1166,plain,
% 0.70/0.89 ((~xuntil6(s71)) | until5(s72)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1165, 1162, 632])).
% 0.70/0.89 tff(1167,plain,
% 0.70/0.89 (~xuntil6(s71)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1166, 1159])).
% 0.70/0.89 tff(1168,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1169,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1170,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1169, 1168])).
% 0.70/0.89 tff(1171,plain,
% 0.70/0.89 (trans(s71, s72)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1170, 1162, 33])).
% 0.70/0.89 tff(1172,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s71, s72)) | (~always3(s71)) | always3(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s71, s72)) | (~always3(s71)) | always3(s72))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1173,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s71, s72)) | (~always3(s71)) | always3(s72))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1174,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s71, s72)) | (~always3(s71)) | always3(s72)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1173, 1172])).
% 0.70/0.89 tff(1175,plain,
% 0.70/0.89 ((~always3(s71)) | always3(s72)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1174, 50, 1171])).
% 0.70/0.89 tff(1176,plain,
% 0.70/0.89 (~always3(s71)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1175, 1147])).
% 0.70/0.89 tff(1177,plain,
% 0.70/0.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s71) | (~node4(s71)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s71) | (~node4(s71)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1178,plain,
% 0.70/0.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s71) | (~node4(s71)))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1179,plain,
% 0.70/0.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s71) | (~node4(s71))),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 0.70/0.89 tff(1180,plain,
% 0.70/0.89 (~node4(s71)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1179, 595, 1176])).
% 0.70/0.89 tff(1181,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s71) | node4(s71) | (~until5(s71)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s71) | node4(s71) | (~until5(s71)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1182,plain,
% 0.70/0.89 ((node4(s71) | (~until5(s71)) | xuntil6(s71)) <=> (xuntil6(s71) | node4(s71) | (~until5(s71)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1183,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s71) | (~until5(s71)) | xuntil6(s71))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s71) | node4(s71) | (~until5(s71))))),
% 0.70/0.89 inference(monotonicity,[status(thm)],[1182])).
% 0.70/0.89 tff(1184,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s71) | (~until5(s71)) | xuntil6(s71))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s71) | node4(s71) | (~until5(s71)))),
% 0.70/0.89 inference(transitivity,[status(thm)],[1183, 1181])).
% 0.70/0.89 tff(1185,plain,
% 0.70/0.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s71) | (~until5(s71)) | xuntil6(s71))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1186,plain,
% 0.70/0.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s71) | node4(s71) | (~until5(s71))),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1185, 1184])).
% 0.70/0.89 tff(1187,plain,
% 0.70/0.89 (xuntil6(s71) | (~until5(s71))),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1186, 614, 1180])).
% 0.70/0.89 tff(1188,plain,
% 0.70/0.89 (~until5(s71)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1187, 1167])).
% 0.70/0.89 tff(1189,plain,
% 0.70/0.89 (succ(s70, s71) <=> succ(s70, s71)),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1190,axiom,(succ(s70, s71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound71')).
% 0.70/0.89 tff(1191,plain,
% 0.70/0.89 (succ(s70, s71)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1190, 1189])).
% 0.70/0.89 tff(1192,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s70, s71)) | (~xuntil6(s70)) | until5(s71))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s70, s71)) | (~xuntil6(s70)) | until5(s71))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1193,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s70, s71)) | (~xuntil6(s70)) | until5(s71))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1194,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s70, s71)) | (~xuntil6(s70)) | until5(s71)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1193, 1192])).
% 0.70/0.89 tff(1195,plain,
% 0.70/0.89 ((~xuntil6(s70)) | until5(s71)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1194, 1191, 632])).
% 0.70/0.89 tff(1196,plain,
% 0.70/0.89 (~xuntil6(s70)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1195, 1188])).
% 0.70/0.89 tff(1197,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1198,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1199,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 0.70/0.89 tff(1200,plain,
% 0.70/0.89 (trans(s70, s71)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1199, 1191, 33])).
% 0.70/0.89 tff(1201,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s70, s71)) | (~always3(s70)) | always3(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s70, s71)) | (~always3(s70)) | always3(s71))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1202,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s70, s71)) | (~always3(s70)) | always3(s71))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1203,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s70, s71)) | (~always3(s70)) | always3(s71)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1202, 1201])).
% 0.70/0.89 tff(1204,plain,
% 0.70/0.89 ((~always3(s70)) | always3(s71)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1203, 50, 1200])).
% 0.70/0.89 tff(1205,plain,
% 0.70/0.89 (~always3(s70)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1204, 1176])).
% 0.70/0.89 tff(1206,plain,
% 0.70/0.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s70) | (~node4(s70)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s70) | (~node4(s70)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1207,plain,
% 0.70/0.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s70) | (~node4(s70)))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1208,plain,
% 0.70/0.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s70) | (~node4(s70))),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1207, 1206])).
% 0.70/0.89 tff(1209,plain,
% 0.70/0.89 (~node4(s70)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1208, 595, 1205])).
% 0.70/0.89 tff(1210,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s70) | node4(s70) | (~until5(s70)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s70) | node4(s70) | (~until5(s70)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1211,plain,
% 0.70/0.89 ((node4(s70) | (~until5(s70)) | xuntil6(s70)) <=> (xuntil6(s70) | node4(s70) | (~until5(s70)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1212,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s70) | (~until5(s70)) | xuntil6(s70))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s70) | node4(s70) | (~until5(s70))))),
% 0.70/0.89 inference(monotonicity,[status(thm)],[1211])).
% 0.70/0.89 tff(1213,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s70) | (~until5(s70)) | xuntil6(s70))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s70) | node4(s70) | (~until5(s70)))),
% 0.70/0.89 inference(transitivity,[status(thm)],[1212, 1210])).
% 0.70/0.89 tff(1214,plain,
% 0.70/0.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s70) | (~until5(s70)) | xuntil6(s70))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1215,plain,
% 0.70/0.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s70) | node4(s70) | (~until5(s70))),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1214, 1213])).
% 0.70/0.89 tff(1216,plain,
% 0.70/0.89 (xuntil6(s70) | (~until5(s70))),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1215, 614, 1209])).
% 0.70/0.89 tff(1217,plain,
% 0.70/0.89 (~until5(s70)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1216, 1196])).
% 0.70/0.89 tff(1218,plain,
% 0.70/0.89 (succ(s69, s70) <=> succ(s69, s70)),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1219,axiom,(succ(s69, s70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound70')).
% 0.70/0.89 tff(1220,plain,
% 0.70/0.89 (succ(s69, s70)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1219, 1218])).
% 0.70/0.89 tff(1221,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s69, s70)) | (~xuntil6(s69)) | until5(s70))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s69, s70)) | (~xuntil6(s69)) | until5(s70))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1222,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s69, s70)) | (~xuntil6(s69)) | until5(s70))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1223,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s69, s70)) | (~xuntil6(s69)) | until5(s70)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1222, 1221])).
% 0.70/0.89 tff(1224,plain,
% 0.70/0.89 ((~xuntil6(s69)) | until5(s70)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1223, 1220, 632])).
% 0.70/0.89 tff(1225,plain,
% 0.70/0.89 (~xuntil6(s69)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1224, 1217])).
% 0.70/0.89 tff(1226,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1227,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1228,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1227, 1226])).
% 0.70/0.89 tff(1229,plain,
% 0.70/0.89 (trans(s69, s70)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1228, 1220, 33])).
% 0.70/0.89 tff(1230,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s69, s70)) | (~always3(s69)) | always3(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s69, s70)) | (~always3(s69)) | always3(s70))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1231,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s69, s70)) | (~always3(s69)) | always3(s70))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1232,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s69, s70)) | (~always3(s69)) | always3(s70)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1231, 1230])).
% 0.70/0.89 tff(1233,plain,
% 0.70/0.89 ((~always3(s69)) | always3(s70)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1232, 50, 1229])).
% 0.70/0.89 tff(1234,plain,
% 0.70/0.89 (~always3(s69)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1233, 1205])).
% 0.70/0.89 tff(1235,plain,
% 0.70/0.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s69) | (~node4(s69)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s69) | (~node4(s69)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1236,plain,
% 0.70/0.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s69) | (~node4(s69)))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1237,plain,
% 0.70/0.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s69) | (~node4(s69))),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1236, 1235])).
% 0.70/0.89 tff(1238,plain,
% 0.70/0.89 (~node4(s69)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1237, 595, 1234])).
% 0.70/0.89 tff(1239,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s69) | node4(s69) | (~until5(s69)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s69) | node4(s69) | (~until5(s69)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1240,plain,
% 0.70/0.89 ((node4(s69) | (~until5(s69)) | xuntil6(s69)) <=> (xuntil6(s69) | node4(s69) | (~until5(s69)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1241,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s69) | (~until5(s69)) | xuntil6(s69))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s69) | node4(s69) | (~until5(s69))))),
% 0.70/0.89 inference(monotonicity,[status(thm)],[1240])).
% 0.70/0.89 tff(1242,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s69) | (~until5(s69)) | xuntil6(s69))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s69) | node4(s69) | (~until5(s69)))),
% 0.70/0.89 inference(transitivity,[status(thm)],[1241, 1239])).
% 0.70/0.89 tff(1243,plain,
% 0.70/0.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s69) | (~until5(s69)) | xuntil6(s69))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1244,plain,
% 0.70/0.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s69) | node4(s69) | (~until5(s69))),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1243, 1242])).
% 0.70/0.89 tff(1245,plain,
% 0.70/0.89 (xuntil6(s69) | (~until5(s69))),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1244, 614, 1238])).
% 0.70/0.89 tff(1246,plain,
% 0.70/0.89 (~until5(s69)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1245, 1225])).
% 0.70/0.89 tff(1247,plain,
% 0.70/0.89 (succ(s68, s69) <=> succ(s68, s69)),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1248,axiom,(succ(s68, s69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound69')).
% 0.70/0.89 tff(1249,plain,
% 0.70/0.89 (succ(s68, s69)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1248, 1247])).
% 0.70/0.89 tff(1250,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s68, s69)) | (~xuntil6(s68)) | until5(s69))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s68, s69)) | (~xuntil6(s68)) | until5(s69))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1251,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s68, s69)) | (~xuntil6(s68)) | until5(s69))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1252,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s68, s69)) | (~xuntil6(s68)) | until5(s69)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1251, 1250])).
% 0.70/0.89 tff(1253,plain,
% 0.70/0.89 ((~xuntil6(s68)) | until5(s69)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1252, 1249, 632])).
% 0.70/0.89 tff(1254,plain,
% 0.70/0.89 (~xuntil6(s68)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1253, 1246])).
% 0.70/0.89 tff(1255,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1256,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1257,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1256, 1255])).
% 0.70/0.89 tff(1258,plain,
% 0.70/0.89 (trans(s68, s69)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1257, 1249, 33])).
% 0.70/0.89 tff(1259,plain,
% 0.70/0.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s68, s69)) | (~always3(s68)) | always3(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s68, s69)) | (~always3(s68)) | always3(s69))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1260,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s68, s69)) | (~always3(s68)) | always3(s69))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1261,plain,
% 0.70/0.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s68, s69)) | (~always3(s68)) | always3(s69)),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1260, 1259])).
% 0.70/0.89 tff(1262,plain,
% 0.70/0.89 ((~always3(s68)) | always3(s69)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1261, 50, 1258])).
% 0.70/0.89 tff(1263,plain,
% 0.70/0.89 (~always3(s68)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1262, 1234])).
% 0.70/0.89 tff(1264,plain,
% 0.70/0.89 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s68) | (~node4(s68)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s68) | (~node4(s68)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1265,plain,
% 0.70/0.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s68) | (~node4(s68)))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1266,plain,
% 0.70/0.89 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s68) | (~node4(s68))),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1265, 1264])).
% 0.70/0.89 tff(1267,plain,
% 0.70/0.89 (~node4(s68)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1266, 595, 1263])).
% 0.70/0.89 tff(1268,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s68) | node4(s68) | (~until5(s68)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s68) | node4(s68) | (~until5(s68)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1269,plain,
% 0.70/0.89 ((node4(s68) | (~until5(s68)) | xuntil6(s68)) <=> (xuntil6(s68) | node4(s68) | (~until5(s68)))),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.89 tff(1270,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s68) | (~until5(s68)) | xuntil6(s68))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s68) | node4(s68) | (~until5(s68))))),
% 0.70/0.89 inference(monotonicity,[status(thm)],[1269])).
% 0.70/0.89 tff(1271,plain,
% 0.70/0.89 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s68) | (~until5(s68)) | xuntil6(s68))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s68) | node4(s68) | (~until5(s68)))),
% 0.70/0.89 inference(transitivity,[status(thm)],[1270, 1268])).
% 0.70/0.89 tff(1272,plain,
% 0.70/0.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s68) | (~until5(s68)) | xuntil6(s68))),
% 0.70/0.89 inference(quant_inst,[status(thm)],[])).
% 0.70/0.89 tff(1273,plain,
% 0.70/0.89 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s68) | node4(s68) | (~until5(s68))),
% 0.70/0.89 inference(modus_ponens,[status(thm)],[1272, 1271])).
% 0.70/0.89 tff(1274,plain,
% 0.70/0.89 (xuntil6(s68) | (~until5(s68))),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1273, 614, 1267])).
% 0.70/0.89 tff(1275,plain,
% 0.70/0.89 (~until5(s68)),
% 0.70/0.89 inference(unit_resolution,[status(thm)],[1274, 1254])).
% 0.70/0.89 tff(1276,plain,
% 0.70/0.89 (succ(s67, s68) <=> succ(s67, s68)),
% 0.70/0.89 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1277,axiom,(succ(s67, s68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound68')).
% 0.70/0.90 tff(1278,plain,
% 0.70/0.90 (succ(s67, s68)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 0.70/0.90 tff(1279,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s67, s68)) | (~xuntil6(s67)) | until5(s68))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s67, s68)) | (~xuntil6(s67)) | until5(s68))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1280,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s67, s68)) | (~xuntil6(s67)) | until5(s68))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1281,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s67, s68)) | (~xuntil6(s67)) | until5(s68)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1280, 1279])).
% 0.70/0.90 tff(1282,plain,
% 0.70/0.90 ((~xuntil6(s67)) | until5(s68)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1281, 1278, 632])).
% 0.70/0.90 tff(1283,plain,
% 0.70/0.90 (~xuntil6(s67)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1282, 1275])).
% 0.70/0.90 tff(1284,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1285,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1286,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1285, 1284])).
% 0.70/0.90 tff(1287,plain,
% 0.70/0.90 (trans(s67, s68)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1286, 1278, 33])).
% 0.70/0.90 tff(1288,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s67, s68)) | (~always3(s67)) | always3(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s67, s68)) | (~always3(s67)) | always3(s68))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1289,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s67, s68)) | (~always3(s67)) | always3(s68))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1290,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s67, s68)) | (~always3(s67)) | always3(s68)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1289, 1288])).
% 0.70/0.90 tff(1291,plain,
% 0.70/0.90 ((~always3(s67)) | always3(s68)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1290, 50, 1287])).
% 0.70/0.90 tff(1292,plain,
% 0.70/0.90 (~always3(s67)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1291, 1263])).
% 0.70/0.90 tff(1293,plain,
% 0.70/0.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s67) | (~node4(s67)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s67) | (~node4(s67)))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1294,plain,
% 0.70/0.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s67) | (~node4(s67)))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1295,plain,
% 0.70/0.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s67) | (~node4(s67))),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1294, 1293])).
% 0.70/0.90 tff(1296,plain,
% 0.70/0.90 (~node4(s67)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1295, 595, 1292])).
% 0.70/0.90 tff(1297,plain,
% 0.70/0.90 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s67) | node4(s67) | (~until5(s67)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s67) | node4(s67) | (~until5(s67)))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1298,plain,
% 0.70/0.90 ((node4(s67) | (~until5(s67)) | xuntil6(s67)) <=> (xuntil6(s67) | node4(s67) | (~until5(s67)))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1299,plain,
% 0.70/0.90 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s67) | (~until5(s67)) | xuntil6(s67))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s67) | node4(s67) | (~until5(s67))))),
% 0.70/0.90 inference(monotonicity,[status(thm)],[1298])).
% 0.70/0.90 tff(1300,plain,
% 0.70/0.90 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s67) | (~until5(s67)) | xuntil6(s67))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s67) | node4(s67) | (~until5(s67)))),
% 0.70/0.90 inference(transitivity,[status(thm)],[1299, 1297])).
% 0.70/0.90 tff(1301,plain,
% 0.70/0.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s67) | (~until5(s67)) | xuntil6(s67))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1302,plain,
% 0.70/0.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s67) | node4(s67) | (~until5(s67))),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1301, 1300])).
% 0.70/0.90 tff(1303,plain,
% 0.70/0.90 (xuntil6(s67) | (~until5(s67))),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1302, 614, 1296])).
% 0.70/0.90 tff(1304,plain,
% 0.70/0.90 (~until5(s67)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1303, 1283])).
% 0.70/0.90 tff(1305,plain,
% 0.70/0.90 (succ(s66, s67) <=> succ(s66, s67)),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1306,axiom,(succ(s66, s67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound67')).
% 0.70/0.90 tff(1307,plain,
% 0.70/0.90 (succ(s66, s67)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 0.70/0.90 tff(1308,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s66, s67)) | (~xuntil6(s66)) | until5(s67))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s66, s67)) | (~xuntil6(s66)) | until5(s67))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1309,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s66, s67)) | (~xuntil6(s66)) | until5(s67))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1310,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s66, s67)) | (~xuntil6(s66)) | until5(s67)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1309, 1308])).
% 0.70/0.90 tff(1311,plain,
% 0.70/0.90 ((~xuntil6(s66)) | until5(s67)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1310, 1307, 632])).
% 0.70/0.90 tff(1312,plain,
% 0.70/0.90 (~xuntil6(s66)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1311, 1304])).
% 0.70/0.90 tff(1313,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1314,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1315,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1314, 1313])).
% 0.70/0.90 tff(1316,plain,
% 0.70/0.90 (trans(s66, s67)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1315, 1307, 33])).
% 0.70/0.90 tff(1317,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s66, s67)) | (~always3(s66)) | always3(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s66, s67)) | (~always3(s66)) | always3(s67))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1318,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s66, s67)) | (~always3(s66)) | always3(s67))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1319,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s66, s67)) | (~always3(s66)) | always3(s67)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1318, 1317])).
% 0.70/0.90 tff(1320,plain,
% 0.70/0.90 ((~always3(s66)) | always3(s67)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1319, 50, 1316])).
% 0.70/0.90 tff(1321,plain,
% 0.70/0.90 (~always3(s66)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1320, 1292])).
% 0.70/0.90 tff(1322,plain,
% 0.70/0.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s66) | (~node4(s66)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s66) | (~node4(s66)))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1323,plain,
% 0.70/0.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s66) | (~node4(s66)))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1324,plain,
% 0.70/0.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s66) | (~node4(s66))),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1323, 1322])).
% 0.70/0.90 tff(1325,plain,
% 0.70/0.90 (~node4(s66)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1324, 595, 1321])).
% 0.70/0.90 tff(1326,plain,
% 0.70/0.90 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s66) | node4(s66) | (~until5(s66)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s66) | node4(s66) | (~until5(s66)))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1327,plain,
% 0.70/0.90 ((node4(s66) | (~until5(s66)) | xuntil6(s66)) <=> (xuntil6(s66) | node4(s66) | (~until5(s66)))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1328,plain,
% 0.70/0.90 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s66) | (~until5(s66)) | xuntil6(s66))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s66) | node4(s66) | (~until5(s66))))),
% 0.70/0.90 inference(monotonicity,[status(thm)],[1327])).
% 0.70/0.90 tff(1329,plain,
% 0.70/0.90 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s66) | (~until5(s66)) | xuntil6(s66))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s66) | node4(s66) | (~until5(s66)))),
% 0.70/0.90 inference(transitivity,[status(thm)],[1328, 1326])).
% 0.70/0.90 tff(1330,plain,
% 0.70/0.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s66) | (~until5(s66)) | xuntil6(s66))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1331,plain,
% 0.70/0.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s66) | node4(s66) | (~until5(s66))),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1330, 1329])).
% 0.70/0.90 tff(1332,plain,
% 0.70/0.90 (xuntil6(s66) | (~until5(s66))),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1331, 614, 1325])).
% 0.70/0.90 tff(1333,plain,
% 0.70/0.90 (~until5(s66)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1332, 1312])).
% 0.70/0.90 tff(1334,plain,
% 0.70/0.90 (succ(s65, s66) <=> succ(s65, s66)),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1335,axiom,(succ(s65, s66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound66')).
% 0.70/0.90 tff(1336,plain,
% 0.70/0.90 (succ(s65, s66)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1335, 1334])).
% 0.70/0.90 tff(1337,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s65, s66)) | (~xuntil6(s65)) | until5(s66))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s65, s66)) | (~xuntil6(s65)) | until5(s66))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1338,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s65, s66)) | (~xuntil6(s65)) | until5(s66))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1339,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s65, s66)) | (~xuntil6(s65)) | until5(s66)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1338, 1337])).
% 0.70/0.90 tff(1340,plain,
% 0.70/0.90 ((~xuntil6(s65)) | until5(s66)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1339, 1336, 632])).
% 0.70/0.90 tff(1341,plain,
% 0.70/0.90 (~xuntil6(s65)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1340, 1333])).
% 0.70/0.90 tff(1342,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1343,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1344,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1343, 1342])).
% 0.70/0.90 tff(1345,plain,
% 0.70/0.90 (trans(s65, s66)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1344, 1336, 33])).
% 0.70/0.90 tff(1346,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s65, s66)) | (~always3(s65)) | always3(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s65, s66)) | (~always3(s65)) | always3(s66))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1347,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s65, s66)) | (~always3(s65)) | always3(s66))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1348,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s65, s66)) | (~always3(s65)) | always3(s66)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1347, 1346])).
% 0.70/0.90 tff(1349,plain,
% 0.70/0.90 ((~always3(s65)) | always3(s66)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1348, 50, 1345])).
% 0.70/0.90 tff(1350,plain,
% 0.70/0.90 (~always3(s65)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1349, 1321])).
% 0.70/0.90 tff(1351,plain,
% 0.70/0.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s65) | (~node4(s65)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s65) | (~node4(s65)))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1352,plain,
% 0.70/0.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s65) | (~node4(s65)))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1353,plain,
% 0.70/0.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s65) | (~node4(s65))),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1352, 1351])).
% 0.70/0.90 tff(1354,plain,
% 0.70/0.90 (~node4(s65)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1353, 595, 1350])).
% 0.70/0.90 tff(1355,plain,
% 0.70/0.90 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s65) | node4(s65) | (~until5(s65)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s65) | node4(s65) | (~until5(s65)))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1356,plain,
% 0.70/0.90 ((node4(s65) | (~until5(s65)) | xuntil6(s65)) <=> (xuntil6(s65) | node4(s65) | (~until5(s65)))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1357,plain,
% 0.70/0.90 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s65) | (~until5(s65)) | xuntil6(s65))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s65) | node4(s65) | (~until5(s65))))),
% 0.70/0.90 inference(monotonicity,[status(thm)],[1356])).
% 0.70/0.90 tff(1358,plain,
% 0.70/0.90 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s65) | (~until5(s65)) | xuntil6(s65))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s65) | node4(s65) | (~until5(s65)))),
% 0.70/0.90 inference(transitivity,[status(thm)],[1357, 1355])).
% 0.70/0.90 tff(1359,plain,
% 0.70/0.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s65) | (~until5(s65)) | xuntil6(s65))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1360,plain,
% 0.70/0.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s65) | node4(s65) | (~until5(s65))),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1359, 1358])).
% 0.70/0.90 tff(1361,plain,
% 0.70/0.90 (xuntil6(s65) | (~until5(s65))),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1360, 614, 1354])).
% 0.70/0.90 tff(1362,plain,
% 0.70/0.90 (~until5(s65)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1361, 1341])).
% 0.70/0.90 tff(1363,plain,
% 0.70/0.90 (succ(s64, s65) <=> succ(s64, s65)),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1364,axiom,(succ(s64, s65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound65')).
% 0.70/0.90 tff(1365,plain,
% 0.70/0.90 (succ(s64, s65)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 0.70/0.90 tff(1366,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s64, s65)) | (~xuntil6(s64)) | until5(s65))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s64, s65)) | (~xuntil6(s64)) | until5(s65))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1367,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s64, s65)) | (~xuntil6(s64)) | until5(s65))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1368,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s64, s65)) | (~xuntil6(s64)) | until5(s65)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1367, 1366])).
% 0.70/0.90 tff(1369,plain,
% 0.70/0.90 ((~xuntil6(s64)) | until5(s65)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1368, 1365, 632])).
% 0.70/0.90 tff(1370,plain,
% 0.70/0.90 (~xuntil6(s64)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1369, 1362])).
% 0.70/0.90 tff(1371,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1372,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1373,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1372, 1371])).
% 0.70/0.90 tff(1374,plain,
% 0.70/0.90 (trans(s64, s65)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1373, 1365, 33])).
% 0.70/0.90 tff(1375,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s64, s65)) | (~always3(s64)) | always3(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s64, s65)) | (~always3(s64)) | always3(s65))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1376,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s64, s65)) | (~always3(s64)) | always3(s65))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1377,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s64, s65)) | (~always3(s64)) | always3(s65)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1376, 1375])).
% 0.70/0.90 tff(1378,plain,
% 0.70/0.90 ((~always3(s64)) | always3(s65)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1377, 50, 1374])).
% 0.70/0.90 tff(1379,plain,
% 0.70/0.90 (~always3(s64)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1378, 1350])).
% 0.70/0.90 tff(1380,plain,
% 0.70/0.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s64) | (~node4(s64)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s64) | (~node4(s64)))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1381,plain,
% 0.70/0.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s64) | (~node4(s64)))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1382,plain,
% 0.70/0.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s64) | (~node4(s64))),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1381, 1380])).
% 0.70/0.90 tff(1383,plain,
% 0.70/0.90 (~node4(s64)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1382, 595, 1379])).
% 0.70/0.90 tff(1384,plain,
% 0.70/0.90 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s64) | node4(s64) | (~until5(s64)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s64) | node4(s64) | (~until5(s64)))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1385,plain,
% 0.70/0.90 ((node4(s64) | (~until5(s64)) | xuntil6(s64)) <=> (xuntil6(s64) | node4(s64) | (~until5(s64)))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1386,plain,
% 0.70/0.90 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s64) | (~until5(s64)) | xuntil6(s64))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s64) | node4(s64) | (~until5(s64))))),
% 0.70/0.90 inference(monotonicity,[status(thm)],[1385])).
% 0.70/0.90 tff(1387,plain,
% 0.70/0.90 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s64) | (~until5(s64)) | xuntil6(s64))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s64) | node4(s64) | (~until5(s64)))),
% 0.70/0.90 inference(transitivity,[status(thm)],[1386, 1384])).
% 0.70/0.90 tff(1388,plain,
% 0.70/0.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s64) | (~until5(s64)) | xuntil6(s64))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1389,plain,
% 0.70/0.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s64) | node4(s64) | (~until5(s64))),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1388, 1387])).
% 0.70/0.90 tff(1390,plain,
% 0.70/0.90 (xuntil6(s64) | (~until5(s64))),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1389, 614, 1383])).
% 0.70/0.90 tff(1391,plain,
% 0.70/0.90 (~until5(s64)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1390, 1370])).
% 0.70/0.90 tff(1392,plain,
% 0.70/0.90 (succ(s63, s64) <=> succ(s63, s64)),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1393,axiom,(succ(s63, s64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound64')).
% 0.70/0.90 tff(1394,plain,
% 0.70/0.90 (succ(s63, s64)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 0.70/0.90 tff(1395,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s63, s64)) | (~xuntil6(s63)) | until5(s64))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s63, s64)) | (~xuntil6(s63)) | until5(s64))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1396,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s63, s64)) | (~xuntil6(s63)) | until5(s64))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1397,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s63, s64)) | (~xuntil6(s63)) | until5(s64)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1396, 1395])).
% 0.70/0.90 tff(1398,plain,
% 0.70/0.90 ((~xuntil6(s63)) | until5(s64)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1397, 1394, 632])).
% 0.70/0.90 tff(1399,plain,
% 0.70/0.90 (~xuntil6(s63)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1398, 1391])).
% 0.70/0.90 tff(1400,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1401,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1402,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1401, 1400])).
% 0.70/0.90 tff(1403,plain,
% 0.70/0.90 (trans(s63, s64)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1402, 1394, 33])).
% 0.70/0.90 tff(1404,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s63, s64)) | (~always3(s63)) | always3(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s63, s64)) | (~always3(s63)) | always3(s64))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1405,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s63, s64)) | (~always3(s63)) | always3(s64))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1406,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s63, s64)) | (~always3(s63)) | always3(s64)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1405, 1404])).
% 0.70/0.90 tff(1407,plain,
% 0.70/0.90 ((~always3(s63)) | always3(s64)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1406, 50, 1403])).
% 0.70/0.90 tff(1408,plain,
% 0.70/0.90 (~always3(s63)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1407, 1379])).
% 0.70/0.90 tff(1409,plain,
% 0.70/0.90 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s63) | (~node4(s63)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s63) | (~node4(s63)))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1410,plain,
% 0.70/0.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s63) | (~node4(s63)))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1411,plain,
% 0.70/0.90 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s63) | (~node4(s63))),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1410, 1409])).
% 0.70/0.90 tff(1412,plain,
% 0.70/0.90 (~node4(s63)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1411, 595, 1408])).
% 0.70/0.90 tff(1413,plain,
% 0.70/0.90 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s63) | node4(s63) | (~until5(s63)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s63) | node4(s63) | (~until5(s63)))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1414,plain,
% 0.70/0.90 ((node4(s63) | (~until5(s63)) | xuntil6(s63)) <=> (xuntil6(s63) | node4(s63) | (~until5(s63)))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1415,plain,
% 0.70/0.90 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s63) | (~until5(s63)) | xuntil6(s63))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s63) | node4(s63) | (~until5(s63))))),
% 0.70/0.90 inference(monotonicity,[status(thm)],[1414])).
% 0.70/0.90 tff(1416,plain,
% 0.70/0.90 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s63) | (~until5(s63)) | xuntil6(s63))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s63) | node4(s63) | (~until5(s63)))),
% 0.70/0.90 inference(transitivity,[status(thm)],[1415, 1413])).
% 0.70/0.90 tff(1417,plain,
% 0.70/0.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s63) | (~until5(s63)) | xuntil6(s63))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1418,plain,
% 0.70/0.90 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s63) | node4(s63) | (~until5(s63))),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1417, 1416])).
% 0.70/0.90 tff(1419,plain,
% 0.70/0.90 (xuntil6(s63) | (~until5(s63))),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1418, 614, 1412])).
% 0.70/0.90 tff(1420,plain,
% 0.70/0.90 (~until5(s63)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1419, 1399])).
% 0.70/0.90 tff(1421,plain,
% 0.70/0.90 (succ(s62, s63) <=> succ(s62, s63)),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1422,axiom,(succ(s62, s63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound63')).
% 0.70/0.90 tff(1423,plain,
% 0.70/0.90 (succ(s62, s63)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1422, 1421])).
% 0.70/0.90 tff(1424,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1425,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1426,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1425, 1424])).
% 0.70/0.90 tff(1427,plain,
% 0.70/0.90 (trans(s62, s63)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1426, 1423, 33])).
% 0.70/0.90 tff(1428,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s62, s63)) | (~always3(s62)) | always3(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s62, s63)) | (~always3(s62)) | always3(s63))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1429,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s62, s63)) | (~always3(s62)) | always3(s63))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1430,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s62, s63)) | (~always3(s62)) | always3(s63)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1429, 1428])).
% 0.70/0.90 tff(1431,plain,
% 0.70/0.90 ((~always3(s62)) | always3(s63)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1430, 50, 1427])).
% 0.70/0.90 tff(1432,plain,
% 0.70/0.90 (~always3(s62)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1431, 1408])).
% 0.70/0.90 tff(1433,plain,
% 0.70/0.90 (succ(s61, s62) <=> succ(s61, s62)),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1434,axiom,(succ(s61, s62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound62')).
% 0.70/0.90 tff(1435,plain,
% 0.70/0.90 (succ(s61, s62)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1434, 1433])).
% 0.70/0.90 tff(1436,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1437,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1438,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1437, 1436])).
% 0.70/0.90 tff(1439,plain,
% 0.70/0.90 (trans(s61, s62)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1438, 1435, 33])).
% 0.70/0.90 tff(1440,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s61, s62)) | (~always3(s61)) | always3(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s61, s62)) | (~always3(s61)) | always3(s62))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1441,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s61, s62)) | (~always3(s61)) | always3(s62))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1442,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s61, s62)) | (~always3(s61)) | always3(s62)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1441, 1440])).
% 0.70/0.90 tff(1443,plain,
% 0.70/0.90 ((~always3(s61)) | always3(s62)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1442, 50, 1439])).
% 0.70/0.90 tff(1444,plain,
% 0.70/0.90 (~always3(s61)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1443, 1432])).
% 0.70/0.90 tff(1445,plain,
% 0.70/0.90 (succ(s60, s61) <=> succ(s60, s61)),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1446,axiom,(succ(s60, s61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound61')).
% 0.70/0.90 tff(1447,plain,
% 0.70/0.90 (succ(s60, s61)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1446, 1445])).
% 0.70/0.90 tff(1448,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1449,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1450,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1449, 1448])).
% 0.70/0.90 tff(1451,plain,
% 0.70/0.90 (trans(s60, s61)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1450, 1447, 33])).
% 0.70/0.90 tff(1452,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s60, s61)) | (~always3(s60)) | always3(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s60, s61)) | (~always3(s60)) | always3(s61))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1453,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s60, s61)) | (~always3(s60)) | always3(s61))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1454,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s60, s61)) | (~always3(s60)) | always3(s61)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1453, 1452])).
% 0.70/0.90 tff(1455,plain,
% 0.70/0.90 ((~always3(s60)) | always3(s61)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1454, 50, 1451])).
% 0.70/0.90 tff(1456,plain,
% 0.70/0.90 (~always3(s60)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1455, 1444])).
% 0.70/0.90 tff(1457,plain,
% 0.70/0.90 (succ(s59, s60) <=> succ(s59, s60)),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1458,axiom,(succ(s59, s60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound60')).
% 0.70/0.90 tff(1459,plain,
% 0.70/0.90 (succ(s59, s60)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1458, 1457])).
% 0.70/0.90 tff(1460,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1461,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1462,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1461, 1460])).
% 0.70/0.90 tff(1463,plain,
% 0.70/0.90 (trans(s59, s60)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1462, 1459, 33])).
% 0.70/0.90 tff(1464,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s59, s60)) | (~always3(s59)) | always3(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s59, s60)) | (~always3(s59)) | always3(s60))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1465,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s59, s60)) | (~always3(s59)) | always3(s60))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1466,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s59, s60)) | (~always3(s59)) | always3(s60)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1465, 1464])).
% 0.70/0.90 tff(1467,plain,
% 0.70/0.90 ((~always3(s59)) | always3(s60)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1466, 50, 1463])).
% 0.70/0.90 tff(1468,plain,
% 0.70/0.90 (~always3(s59)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1467, 1456])).
% 0.70/0.90 tff(1469,plain,
% 0.70/0.90 (succ(s58, s59) <=> succ(s58, s59)),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1470,axiom,(succ(s58, s59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound59')).
% 0.70/0.90 tff(1471,plain,
% 0.70/0.90 (succ(s58, s59)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1470, 1469])).
% 0.70/0.90 tff(1472,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1473,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1474,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1473, 1472])).
% 0.70/0.90 tff(1475,plain,
% 0.70/0.90 (trans(s58, s59)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1474, 1471, 33])).
% 0.70/0.90 tff(1476,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s58, s59)) | (~always3(s58)) | always3(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s58, s59)) | (~always3(s58)) | always3(s59))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1477,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s58, s59)) | (~always3(s58)) | always3(s59))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1478,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s58, s59)) | (~always3(s58)) | always3(s59)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1477, 1476])).
% 0.70/0.90 tff(1479,plain,
% 0.70/0.90 ((~always3(s58)) | always3(s59)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1478, 50, 1475])).
% 0.70/0.90 tff(1480,plain,
% 0.70/0.90 (~always3(s58)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1479, 1468])).
% 0.70/0.90 tff(1481,plain,
% 0.70/0.90 (succ(s57, s58) <=> succ(s57, s58)),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1482,axiom,(succ(s57, s58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound58')).
% 0.70/0.90 tff(1483,plain,
% 0.70/0.90 (succ(s57, s58)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1482, 1481])).
% 0.70/0.90 tff(1484,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1485,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1486,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1485, 1484])).
% 0.70/0.90 tff(1487,plain,
% 0.70/0.90 (trans(s57, s58)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1486, 1483, 33])).
% 0.70/0.90 tff(1488,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s57, s58)) | (~always3(s57)) | always3(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s57, s58)) | (~always3(s57)) | always3(s58))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1489,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s57, s58)) | (~always3(s57)) | always3(s58))),
% 0.70/0.90 inference(quant_inst,[status(thm)],[])).
% 0.70/0.90 tff(1490,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s57, s58)) | (~always3(s57)) | always3(s58)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1489, 1488])).
% 0.70/0.90 tff(1491,plain,
% 0.70/0.90 ((~always3(s57)) | always3(s58)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1490, 50, 1487])).
% 0.70/0.90 tff(1492,plain,
% 0.70/0.90 (~always3(s57)),
% 0.70/0.90 inference(unit_resolution,[status(thm)],[1491, 1480])).
% 0.70/0.90 tff(1493,plain,
% 0.70/0.90 (succ(s56, s57) <=> succ(s56, s57)),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1494,axiom,(succ(s56, s57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound57')).
% 0.70/0.90 tff(1495,plain,
% 0.70/0.90 (succ(s56, s57)),
% 0.70/0.90 inference(modus_ponens,[status(thm)],[1494, 1493])).
% 0.70/0.90 tff(1496,plain,
% 0.70/0.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57))),
% 0.70/0.90 inference(rewrite,[status(thm)],[])).
% 0.70/0.90 tff(1497,plain,
% 0.70/0.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1498,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1497, 1496])).
% 0.70/0.91 tff(1499,plain,
% 0.70/0.91 (trans(s56, s57)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1498, 1495, 33])).
% 0.70/0.91 tff(1500,plain,
% 0.70/0.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s56, s57)) | (~always3(s56)) | always3(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s56, s57)) | (~always3(s56)) | always3(s57))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1501,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s56, s57)) | (~always3(s56)) | always3(s57))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1502,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s56, s57)) | (~always3(s56)) | always3(s57)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1501, 1500])).
% 0.70/0.91 tff(1503,plain,
% 0.70/0.91 ((~always3(s56)) | always3(s57)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1502, 50, 1499])).
% 0.70/0.91 tff(1504,plain,
% 0.70/0.91 (~always3(s56)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1503, 1492])).
% 0.70/0.91 tff(1505,plain,
% 0.70/0.91 (succ(s55, s56) <=> succ(s55, s56)),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1506,axiom,(succ(s55, s56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound56')).
% 0.70/0.91 tff(1507,plain,
% 0.70/0.91 (succ(s55, s56)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1506, 1505])).
% 0.70/0.91 tff(1508,plain,
% 0.70/0.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1509,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1510,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1509, 1508])).
% 0.70/0.91 tff(1511,plain,
% 0.70/0.91 (trans(s55, s56)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1510, 1507, 33])).
% 0.70/0.91 tff(1512,plain,
% 0.70/0.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s55, s56)) | (~always3(s55)) | always3(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s55, s56)) | (~always3(s55)) | always3(s56))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1513,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s55, s56)) | (~always3(s55)) | always3(s56))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1514,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s55, s56)) | (~always3(s55)) | always3(s56)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 0.70/0.91 tff(1515,plain,
% 0.70/0.91 ((~always3(s55)) | always3(s56)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1514, 50, 1511])).
% 0.70/0.91 tff(1516,plain,
% 0.70/0.91 (~always3(s55)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1515, 1504])).
% 0.70/0.91 tff(1517,plain,
% 0.70/0.91 (succ(s54, s55) <=> succ(s54, s55)),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1518,axiom,(succ(s54, s55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound55')).
% 0.70/0.91 tff(1519,plain,
% 0.70/0.91 (succ(s54, s55)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1518, 1517])).
% 0.70/0.91 tff(1520,plain,
% 0.70/0.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1521,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1522,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1521, 1520])).
% 0.70/0.91 tff(1523,plain,
% 0.70/0.91 (trans(s54, s55)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1522, 1519, 33])).
% 0.70/0.91 tff(1524,plain,
% 0.70/0.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s54, s55)) | (~always3(s54)) | always3(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s54, s55)) | (~always3(s54)) | always3(s55))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1525,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s54, s55)) | (~always3(s54)) | always3(s55))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1526,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s54, s55)) | (~always3(s54)) | always3(s55)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1525, 1524])).
% 0.70/0.91 tff(1527,plain,
% 0.70/0.91 ((~always3(s54)) | always3(s55)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1526, 50, 1523])).
% 0.70/0.91 tff(1528,plain,
% 0.70/0.91 (~always3(s54)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1527, 1516])).
% 0.70/0.91 tff(1529,plain,
% 0.70/0.91 (succ(s53, s54) <=> succ(s53, s54)),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1530,axiom,(succ(s53, s54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound54')).
% 0.70/0.91 tff(1531,plain,
% 0.70/0.91 (succ(s53, s54)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1530, 1529])).
% 0.70/0.91 tff(1532,plain,
% 0.70/0.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1533,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1534,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1533, 1532])).
% 0.70/0.91 tff(1535,plain,
% 0.70/0.91 (trans(s53, s54)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1534, 1531, 33])).
% 0.70/0.91 tff(1536,plain,
% 0.70/0.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s53, s54)) | (~always3(s53)) | always3(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s53, s54)) | (~always3(s53)) | always3(s54))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1537,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s53, s54)) | (~always3(s53)) | always3(s54))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1538,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s53, s54)) | (~always3(s53)) | always3(s54)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1537, 1536])).
% 0.70/0.91 tff(1539,plain,
% 0.70/0.91 ((~always3(s53)) | always3(s54)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1538, 50, 1535])).
% 0.70/0.91 tff(1540,plain,
% 0.70/0.91 (~always3(s53)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1539, 1528])).
% 0.70/0.91 tff(1541,plain,
% 0.70/0.91 (succ(s52, s53) <=> succ(s52, s53)),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1542,axiom,(succ(s52, s53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound53')).
% 0.70/0.91 tff(1543,plain,
% 0.70/0.91 (succ(s52, s53)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1542, 1541])).
% 0.70/0.91 tff(1544,plain,
% 0.70/0.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1545,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1546,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1545, 1544])).
% 0.70/0.91 tff(1547,plain,
% 0.70/0.91 (trans(s52, s53)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1546, 1543, 33])).
% 0.70/0.91 tff(1548,plain,
% 0.70/0.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s52, s53)) | (~always3(s52)) | always3(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s52, s53)) | (~always3(s52)) | always3(s53))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1549,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s52, s53)) | (~always3(s52)) | always3(s53))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1550,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s52, s53)) | (~always3(s52)) | always3(s53)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1549, 1548])).
% 0.70/0.91 tff(1551,plain,
% 0.70/0.91 ((~always3(s52)) | always3(s53)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1550, 50, 1547])).
% 0.70/0.91 tff(1552,plain,
% 0.70/0.91 (~always3(s52)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1551, 1540])).
% 0.70/0.91 tff(1553,plain,
% 0.70/0.91 (succ(s51, s52) <=> succ(s51, s52)),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1554,axiom,(succ(s51, s52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound52')).
% 0.70/0.91 tff(1555,plain,
% 0.70/0.91 (succ(s51, s52)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1554, 1553])).
% 0.70/0.91 tff(1556,plain,
% 0.70/0.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1557,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1558,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1557, 1556])).
% 0.70/0.91 tff(1559,plain,
% 0.70/0.91 (trans(s51, s52)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1558, 1555, 33])).
% 0.70/0.91 tff(1560,plain,
% 0.70/0.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s51, s52)) | (~always3(s51)) | always3(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s51, s52)) | (~always3(s51)) | always3(s52))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1561,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s51, s52)) | (~always3(s51)) | always3(s52))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1562,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s51, s52)) | (~always3(s51)) | always3(s52)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1561, 1560])).
% 0.70/0.91 tff(1563,plain,
% 0.70/0.91 ((~always3(s51)) | always3(s52)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1562, 50, 1559])).
% 0.70/0.91 tff(1564,plain,
% 0.70/0.91 (~always3(s51)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1563, 1552])).
% 0.70/0.91 tff(1565,plain,
% 0.70/0.91 (succ(s50, s51) <=> succ(s50, s51)),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1566,axiom,(succ(s50, s51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound51')).
% 0.70/0.91 tff(1567,plain,
% 0.70/0.91 (succ(s50, s51)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1566, 1565])).
% 0.70/0.91 tff(1568,plain,
% 0.70/0.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1569,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1570,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1569, 1568])).
% 0.70/0.91 tff(1571,plain,
% 0.70/0.91 (trans(s50, s51)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1570, 1567, 33])).
% 0.70/0.91 tff(1572,plain,
% 0.70/0.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s50, s51)) | (~always3(s50)) | always3(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s50, s51)) | (~always3(s50)) | always3(s51))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1573,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s50, s51)) | (~always3(s50)) | always3(s51))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1574,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s50, s51)) | (~always3(s50)) | always3(s51)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1573, 1572])).
% 0.70/0.91 tff(1575,plain,
% 0.70/0.91 ((~always3(s50)) | always3(s51)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1574, 50, 1571])).
% 0.70/0.91 tff(1576,plain,
% 0.70/0.91 (~always3(s50)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1575, 1564])).
% 0.70/0.91 tff(1577,plain,
% 0.70/0.91 (succ(s49, s50) <=> succ(s49, s50)),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1578,axiom,(succ(s49, s50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound50')).
% 0.70/0.91 tff(1579,plain,
% 0.70/0.91 (succ(s49, s50)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1578, 1577])).
% 0.70/0.91 tff(1580,plain,
% 0.70/0.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1581,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1582,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1581, 1580])).
% 0.70/0.91 tff(1583,plain,
% 0.70/0.91 (trans(s49, s50)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1582, 1579, 33])).
% 0.70/0.91 tff(1584,plain,
% 0.70/0.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s50)) | (~always3(s49)) | always3(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s49, s50)) | (~always3(s49)) | always3(s50))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1585,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s50)) | (~always3(s49)) | always3(s50))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1586,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s49, s50)) | (~always3(s49)) | always3(s50)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1585, 1584])).
% 0.70/0.91 tff(1587,plain,
% 0.70/0.91 ((~always3(s49)) | always3(s50)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1586, 50, 1583])).
% 0.70/0.91 tff(1588,plain,
% 0.70/0.91 (~always3(s49)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1587, 1576])).
% 0.70/0.91 tff(1589,plain,
% 0.70/0.91 (succ(s48, s49) <=> succ(s48, s49)),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1590,axiom,(succ(s48, s49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound49')).
% 0.70/0.91 tff(1591,plain,
% 0.70/0.91 (succ(s48, s49)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1590, 1589])).
% 0.70/0.91 tff(1592,plain,
% 0.70/0.91 (((~![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))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1593,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1594,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1593, 1592])).
% 0.70/0.91 tff(1595,plain,
% 0.70/0.91 (trans(s48, s49)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1594, 1591, 33])).
% 0.70/0.91 tff(1596,plain,
% 0.70/0.91 (((~![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))) | (~trans(s48, s49)) | (~always3(s48)) | always3(s49))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1597,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s48, s49)) | (~always3(s48)) | always3(s49))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1598,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s48, s49)) | (~always3(s48)) | always3(s49)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1597, 1596])).
% 0.70/0.91 tff(1599,plain,
% 0.70/0.91 ((~always3(s48)) | always3(s49)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1598, 50, 1595])).
% 0.70/0.91 tff(1600,plain,
% 0.70/0.91 (~always3(s48)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1599, 1588])).
% 0.70/0.91 tff(1601,plain,
% 0.70/0.91 (~always3(s47)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[54, 1600])).
% 0.70/0.91 tff(1602,plain,
% 0.70/0.91 (~always3(s46)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[66, 1601])).
% 0.70/0.91 tff(1603,plain,
% 0.70/0.91 (~always3(s45)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[78, 1602])).
% 0.70/0.91 tff(1604,plain,
% 0.70/0.91 (~always3(s44)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[90, 1603])).
% 0.70/0.91 tff(1605,plain,
% 0.70/0.91 (~always3(s43)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[102, 1604])).
% 0.70/0.91 tff(1606,plain,
% 0.70/0.91 (~always3(s42)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[114, 1605])).
% 0.70/0.91 tff(1607,plain,
% 0.70/0.91 (~always3(s41)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[126, 1606])).
% 0.70/0.91 tff(1608,plain,
% 0.70/0.91 (~always3(s40)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[138, 1607])).
% 0.70/0.91 tff(1609,plain,
% 0.70/0.91 (~always3(s39)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[150, 1608])).
% 0.70/0.91 tff(1610,plain,
% 0.70/0.91 (~always3(s38)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[162, 1609])).
% 0.70/0.91 tff(1611,plain,
% 0.70/0.91 (~always3(s37)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[174, 1610])).
% 0.70/0.91 tff(1612,plain,
% 0.70/0.91 (~always3(s36)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[186, 1611])).
% 0.70/0.91 tff(1613,plain,
% 0.70/0.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s36) | (~node4(s36)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s36) | (~node4(s36)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1614,plain,
% 0.70/0.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s36) | (~node4(s36)))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1615,plain,
% 0.70/0.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s36) | (~node4(s36))),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 0.70/0.91 tff(1616,plain,
% 0.70/0.91 (~node4(s36)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1615, 595, 1612])).
% 0.70/0.91 tff(1617,plain,
% 0.70/0.91 (~always3(s35)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[198, 1612])).
% 0.70/0.91 tff(1618,plain,
% 0.70/0.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s35) | (~node4(s35)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s35) | (~node4(s35)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1619,plain,
% 0.70/0.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s35) | (~node4(s35)))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1620,plain,
% 0.70/0.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s35) | (~node4(s35))),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1619, 1618])).
% 0.70/0.91 tff(1621,plain,
% 0.70/0.91 (~node4(s35)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1620, 595, 1617])).
% 0.70/0.91 tff(1622,plain,
% 0.70/0.91 (~always3(s34)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[210, 1617])).
% 0.70/0.91 tff(1623,assumption,(~always3(s34)), introduced(assumption)).
% 0.70/0.91 tff(1624,plain,
% 0.70/0.91 (~always3(s33)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[222, 1623])).
% 0.70/0.91 tff(1625,plain,
% 0.70/0.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s33) | (~node4(s33)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s33) | (~node4(s33)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1626,plain,
% 0.70/0.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s33) | (~node4(s33)))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1627,plain,
% 0.70/0.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s33) | (~node4(s33))),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1626, 1625])).
% 0.70/0.91 tff(1628,plain,
% 0.70/0.91 (~node4(s33)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1627, 595, 1624])).
% 0.70/0.91 tff(1629,plain,
% 0.70/0.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s34) | (~node4(s34)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s34) | (~node4(s34)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1630,plain,
% 0.70/0.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s34) | (~node4(s34)))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1631,plain,
% 0.70/0.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s34) | (~node4(s34))),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1630, 1629])).
% 0.70/0.91 tff(1632,plain,
% 0.70/0.91 (~node4(s34)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1631, 595, 1623])).
% 0.70/0.91 tff(1633,assumption,(~xuntil6(s34)), introduced(assumption)).
% 0.70/0.91 tff(1634,plain,
% 0.70/0.91 (((~![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)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1635,plain,
% 0.70/0.91 ((node4(s34) | (~until5(s34)) | xuntil6(s34)) <=> (xuntil6(s34) | node4(s34) | (~until5(s34)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1636,plain,
% 0.70/0.91 (((~![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))))),
% 0.70/0.91 inference(monotonicity,[status(thm)],[1635])).
% 0.70/0.91 tff(1637,plain,
% 0.70/0.91 (((~![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)))),
% 0.70/0.91 inference(transitivity,[status(thm)],[1636, 1634])).
% 0.70/0.91 tff(1638,plain,
% 0.70/0.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s34) | (~until5(s34)) | xuntil6(s34))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1639,plain,
% 0.70/0.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s34) | node4(s34) | (~until5(s34))),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1638, 1637])).
% 0.70/0.91 tff(1640,plain,
% 0.70/0.91 (node4(s34) | (~until5(s34))),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1639, 614, 1633])).
% 0.70/0.91 tff(1641,plain,
% 0.70/0.91 (~until5(s34)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1640, 1632])).
% 0.70/0.91 tff(1642,plain,
% 0.70/0.91 (((~![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))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1643,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1644,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1643, 1642])).
% 0.70/0.91 tff(1645,plain,
% 0.70/0.91 ((~xuntil6(s33)) | until5(s34)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1644, 214, 632])).
% 0.70/0.91 tff(1646,plain,
% 0.70/0.91 (~xuntil6(s33)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1645, 1641])).
% 0.70/0.91 tff(1647,plain,
% 0.70/0.91 (((~![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)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1648,plain,
% 0.70/0.91 ((node4(s33) | (~until5(s33)) | xuntil6(s33)) <=> (xuntil6(s33) | node4(s33) | (~until5(s33)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1649,plain,
% 0.70/0.91 (((~![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))))),
% 0.70/0.91 inference(monotonicity,[status(thm)],[1648])).
% 0.70/0.91 tff(1650,plain,
% 0.70/0.91 (((~![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)))),
% 0.70/0.91 inference(transitivity,[status(thm)],[1649, 1647])).
% 0.70/0.91 tff(1651,plain,
% 0.70/0.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s33) | (~until5(s33)) | xuntil6(s33))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1652,plain,
% 0.70/0.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s33) | node4(s33) | (~until5(s33))),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1651, 1650])).
% 0.70/0.91 tff(1653,plain,
% 0.70/0.91 (~until5(s33)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1652, 614, 1646, 1628])).
% 0.70/0.91 tff(1654,plain,
% 0.70/0.91 (((~![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))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1655,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1656,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1655, 1654])).
% 0.70/0.91 tff(1657,plain,
% 0.70/0.91 ((~xuntil6(s32)) | until5(s33)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1656, 226, 632])).
% 0.70/0.91 tff(1658,plain,
% 0.70/0.91 (~xuntil6(s32)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1657, 1653])).
% 0.70/0.91 tff(1659,plain,
% 0.70/0.91 (~always3(s32)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[234, 1624])).
% 0.70/0.91 tff(1660,plain,
% 0.70/0.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s32) | (~node4(s32)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s32) | (~node4(s32)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1661,plain,
% 0.70/0.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s32) | (~node4(s32)))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1662,plain,
% 0.70/0.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s32) | (~node4(s32))),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1661, 1660])).
% 0.70/0.91 tff(1663,plain,
% 0.70/0.91 (~node4(s32)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1662, 595, 1659])).
% 0.70/0.91 tff(1664,plain,
% 0.70/0.91 (((~![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)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1665,plain,
% 0.70/0.91 ((node4(s32) | (~until5(s32)) | xuntil6(s32)) <=> (xuntil6(s32) | node4(s32) | (~until5(s32)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1666,plain,
% 0.70/0.91 (((~![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))))),
% 0.70/0.91 inference(monotonicity,[status(thm)],[1665])).
% 0.70/0.91 tff(1667,plain,
% 0.70/0.91 (((~![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)))),
% 0.70/0.91 inference(transitivity,[status(thm)],[1666, 1664])).
% 0.70/0.91 tff(1668,plain,
% 0.70/0.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s32) | (~until5(s32)) | xuntil6(s32))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1669,plain,
% 0.70/0.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s32) | node4(s32) | (~until5(s32))),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1668, 1667])).
% 0.70/0.91 tff(1670,plain,
% 0.70/0.91 (xuntil6(s32) | (~until5(s32))),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1669, 614, 1663])).
% 0.70/0.91 tff(1671,plain,
% 0.70/0.91 (~until5(s32)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1670, 1658])).
% 0.70/0.91 tff(1672,plain,
% 0.70/0.91 (((~![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))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1673,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1674,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1673, 1672])).
% 0.70/0.91 tff(1675,plain,
% 0.70/0.91 ((~xuntil6(s31)) | until5(s32)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1674, 238, 632])).
% 0.70/0.91 tff(1676,plain,
% 0.70/0.91 (~xuntil6(s31)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1675, 1671])).
% 0.70/0.91 tff(1677,plain,
% 0.70/0.91 (~always3(s31)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[246, 1659])).
% 0.70/0.91 tff(1678,plain,
% 0.70/0.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s31) | (~node4(s31)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s31) | (~node4(s31)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1679,plain,
% 0.70/0.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s31) | (~node4(s31)))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1680,plain,
% 0.70/0.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s31) | (~node4(s31))),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1679, 1678])).
% 0.70/0.91 tff(1681,plain,
% 0.70/0.91 (~node4(s31)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1680, 595, 1677])).
% 0.70/0.91 tff(1682,plain,
% 0.70/0.91 (((~![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)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1683,plain,
% 0.70/0.91 ((node4(s31) | (~until5(s31)) | xuntil6(s31)) <=> (xuntil6(s31) | node4(s31) | (~until5(s31)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1684,plain,
% 0.70/0.91 (((~![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))))),
% 0.70/0.91 inference(monotonicity,[status(thm)],[1683])).
% 0.70/0.91 tff(1685,plain,
% 0.70/0.91 (((~![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)))),
% 0.70/0.91 inference(transitivity,[status(thm)],[1684, 1682])).
% 0.70/0.91 tff(1686,plain,
% 0.70/0.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s31) | (~until5(s31)) | xuntil6(s31))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1687,plain,
% 0.70/0.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s31) | node4(s31) | (~until5(s31))),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 0.70/0.91 tff(1688,plain,
% 0.70/0.91 (xuntil6(s31) | (~until5(s31))),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1687, 614, 1681])).
% 0.70/0.91 tff(1689,plain,
% 0.70/0.91 (~until5(s31)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1688, 1676])).
% 0.70/0.91 tff(1690,plain,
% 0.70/0.91 (((~![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))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1691,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1692,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1691, 1690])).
% 0.70/0.91 tff(1693,plain,
% 0.70/0.91 ((~xuntil6(s30)) | until5(s31)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1692, 250, 632])).
% 0.70/0.91 tff(1694,plain,
% 0.70/0.91 (~xuntil6(s30)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1693, 1689])).
% 0.70/0.91 tff(1695,plain,
% 0.70/0.91 (~always3(s30)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[258, 1677])).
% 0.70/0.91 tff(1696,plain,
% 0.70/0.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s30) | (~node4(s30)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s30) | (~node4(s30)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1697,plain,
% 0.70/0.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s30) | (~node4(s30)))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1698,plain,
% 0.70/0.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s30) | (~node4(s30))),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1697, 1696])).
% 0.70/0.91 tff(1699,plain,
% 0.70/0.91 (~node4(s30)),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1698, 595, 1695])).
% 0.70/0.91 tff(1700,plain,
% 0.70/0.91 (((~![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)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1701,plain,
% 0.70/0.91 ((node4(s30) | (~until5(s30)) | xuntil6(s30)) <=> (xuntil6(s30) | node4(s30) | (~until5(s30)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1702,plain,
% 0.70/0.91 (((~![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))))),
% 0.70/0.91 inference(monotonicity,[status(thm)],[1701])).
% 0.70/0.91 tff(1703,plain,
% 0.70/0.91 (((~![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)))),
% 0.70/0.91 inference(transitivity,[status(thm)],[1702, 1700])).
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% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
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% 0.70/0.91 inference(modus_ponens,[status(thm)],[1704, 1703])).
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% 0.70/0.91 (xuntil6(s30) | (~until5(s30))),
% 0.70/0.91 inference(unit_resolution,[status(thm)],[1705, 614, 1699])).
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% 0.70/0.91 inference(unit_resolution,[status(thm)],[1706, 1694])).
% 0.70/0.91 tff(1708,plain,
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% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1709,plain,
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% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1710,plain,
% 0.70/0.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30)),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1709, 1708])).
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% 0.70/0.91 inference(unit_resolution,[status(thm)],[1710, 262, 632])).
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% 0.70/0.91 inference(unit_resolution,[status(thm)],[1711, 1707])).
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% 0.70/0.91 inference(unit_resolution,[status(thm)],[270, 1695])).
% 0.70/0.91 tff(1714,plain,
% 0.70/0.91 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s29) | (~node4(s29)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s29) | (~node4(s29)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
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% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1716,plain,
% 0.70/0.91 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s29) | (~node4(s29))),
% 0.70/0.91 inference(modus_ponens,[status(thm)],[1715, 1714])).
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% 0.70/0.91 inference(unit_resolution,[status(thm)],[1716, 595, 1713])).
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% 0.70/0.91 (((~![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)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1719,plain,
% 0.70/0.91 ((node4(s29) | (~until5(s29)) | xuntil6(s29)) <=> (xuntil6(s29) | node4(s29) | (~until5(s29)))),
% 0.70/0.91 inference(rewrite,[status(thm)],[])).
% 0.70/0.91 tff(1720,plain,
% 0.70/0.91 (((~![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))))),
% 0.70/0.91 inference(monotonicity,[status(thm)],[1719])).
% 0.70/0.91 tff(1721,plain,
% 0.70/0.91 (((~![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)))),
% 0.70/0.91 inference(transitivity,[status(thm)],[1720, 1718])).
% 0.70/0.91 tff(1722,plain,
% 0.70/0.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s29) | (~until5(s29)) | xuntil6(s29))),
% 0.70/0.91 inference(quant_inst,[status(thm)],[])).
% 0.70/0.91 tff(1723,plain,
% 0.70/0.91 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s29) | node4(s29) | (~until5(s29))),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1722, 1721])).
% 0.70/0.92 tff(1724,plain,
% 0.70/0.92 (xuntil6(s29) | (~until5(s29))),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1723, 614, 1717])).
% 0.70/0.92 tff(1725,plain,
% 0.70/0.92 (~until5(s29)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1724, 1712])).
% 0.70/0.92 tff(1726,plain,
% 0.70/0.92 (((~![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))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1727,plain,
% 0.70/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1728,plain,
% 0.70/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29)),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1727, 1726])).
% 0.70/0.92 tff(1729,plain,
% 0.70/0.92 ((~xuntil6(s28)) | until5(s29)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1728, 274, 632])).
% 0.70/0.92 tff(1730,plain,
% 0.70/0.92 (~xuntil6(s28)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1729, 1725])).
% 0.70/0.92 tff(1731,plain,
% 0.70/0.92 (~always3(s28)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[282, 1713])).
% 0.70/0.92 tff(1732,plain,
% 0.70/0.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s28) | (~node4(s28)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s28) | (~node4(s28)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1733,plain,
% 0.70/0.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s28) | (~node4(s28)))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1734,plain,
% 0.70/0.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s28) | (~node4(s28))),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1733, 1732])).
% 0.70/0.92 tff(1735,plain,
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[1734, 595, 1731])).
% 0.70/0.92 tff(1736,plain,
% 0.70/0.92 (((~![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)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1737,plain,
% 0.70/0.92 ((node4(s28) | (~until5(s28)) | xuntil6(s28)) <=> (xuntil6(s28) | node4(s28) | (~until5(s28)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1738,plain,
% 0.70/0.92 (((~![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))))),
% 0.70/0.92 inference(monotonicity,[status(thm)],[1737])).
% 0.70/0.92 tff(1739,plain,
% 0.70/0.92 (((~![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)))),
% 0.70/0.92 inference(transitivity,[status(thm)],[1738, 1736])).
% 0.70/0.92 tff(1740,plain,
% 0.70/0.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s28) | (~until5(s28)) | xuntil6(s28))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1741,plain,
% 0.70/0.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s28) | node4(s28) | (~until5(s28))),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1740, 1739])).
% 0.70/0.92 tff(1742,plain,
% 0.70/0.92 (xuntil6(s28) | (~until5(s28))),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1741, 614, 1735])).
% 0.70/0.92 tff(1743,plain,
% 0.70/0.92 (~until5(s28)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1742, 1730])).
% 0.70/0.92 tff(1744,plain,
% 0.70/0.92 (((~![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))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1745,plain,
% 0.70/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1746,plain,
% 0.70/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28)),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1745, 1744])).
% 0.70/0.92 tff(1747,plain,
% 0.70/0.92 ((~xuntil6(s27)) | until5(s28)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1746, 286, 632])).
% 0.70/0.92 tff(1748,plain,
% 0.70/0.92 (~xuntil6(s27)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1747, 1743])).
% 0.70/0.92 tff(1749,plain,
% 0.70/0.92 (~always3(s27)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[294, 1731])).
% 0.70/0.92 tff(1750,plain,
% 0.70/0.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s27) | (~node4(s27)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s27) | (~node4(s27)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1751,plain,
% 0.70/0.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s27) | (~node4(s27)))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1752,plain,
% 0.70/0.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s27) | (~node4(s27))),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1751, 1750])).
% 0.70/0.92 tff(1753,plain,
% 0.70/0.92 (~node4(s27)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1752, 595, 1749])).
% 0.70/0.92 tff(1754,plain,
% 0.70/0.92 (((~![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)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1755,plain,
% 0.70/0.92 ((node4(s27) | (~until5(s27)) | xuntil6(s27)) <=> (xuntil6(s27) | node4(s27) | (~until5(s27)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1756,plain,
% 0.70/0.92 (((~![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))))),
% 0.70/0.92 inference(monotonicity,[status(thm)],[1755])).
% 0.70/0.92 tff(1757,plain,
% 0.70/0.92 (((~![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)))),
% 0.70/0.92 inference(transitivity,[status(thm)],[1756, 1754])).
% 0.70/0.92 tff(1758,plain,
% 0.70/0.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s27) | (~until5(s27)) | xuntil6(s27))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1759,plain,
% 0.70/0.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s27) | node4(s27) | (~until5(s27))),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1758, 1757])).
% 0.70/0.92 tff(1760,plain,
% 0.70/0.92 (xuntil6(s27) | (~until5(s27))),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1759, 614, 1753])).
% 0.70/0.92 tff(1761,plain,
% 0.70/0.92 (~until5(s27)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1760, 1748])).
% 0.70/0.92 tff(1762,plain,
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% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1763,plain,
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% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1764,plain,
% 0.70/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27)),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1763, 1762])).
% 0.70/0.92 tff(1765,plain,
% 0.70/0.92 ((~xuntil6(s26)) | until5(s27)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1764, 298, 632])).
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% 0.70/0.92 (~xuntil6(s26)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1765, 1761])).
% 0.70/0.92 tff(1767,plain,
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[306, 1749])).
% 0.70/0.92 tff(1768,plain,
% 0.70/0.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s26) | (~node4(s26)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s26) | (~node4(s26)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
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% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1770,plain,
% 0.70/0.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s26) | (~node4(s26))),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 0.70/0.92 tff(1771,plain,
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[1770, 595, 1767])).
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% 0.70/0.92 inference(rewrite,[status(thm)],[])).
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% 0.70/0.92 ((node4(s26) | (~until5(s26)) | xuntil6(s26)) <=> (xuntil6(s26) | node4(s26) | (~until5(s26)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
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% 0.70/0.92 (((~![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))))),
% 0.70/0.92 inference(monotonicity,[status(thm)],[1773])).
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% 0.70/0.92 inference(transitivity,[status(thm)],[1774, 1772])).
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% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
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% 0.70/0.92 inference(modus_ponens,[status(thm)],[1776, 1775])).
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[1777, 614, 1771])).
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[1778, 1766])).
% 0.70/0.92 tff(1780,plain,
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% 0.70/0.92 inference(rewrite,[status(thm)],[])).
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% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
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% 0.70/0.92 inference(modus_ponens,[status(thm)],[1781, 1780])).
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[1782, 310, 632])).
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[1783, 1779])).
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[318, 1767])).
% 0.70/0.92 tff(1786,plain,
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% 0.70/0.92 inference(rewrite,[status(thm)],[])).
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% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[1788, 595, 1785])).
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% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1791,plain,
% 0.70/0.92 ((node4(s25) | (~until5(s25)) | xuntil6(s25)) <=> (xuntil6(s25) | node4(s25) | (~until5(s25)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1792,plain,
% 0.70/0.92 (((~![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))))),
% 0.70/0.92 inference(monotonicity,[status(thm)],[1791])).
% 0.70/0.92 tff(1793,plain,
% 0.70/0.92 (((~![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)))),
% 0.70/0.92 inference(transitivity,[status(thm)],[1792, 1790])).
% 0.70/0.92 tff(1794,plain,
% 0.70/0.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s25) | (~until5(s25)) | xuntil6(s25))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1795,plain,
% 0.70/0.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s25) | node4(s25) | (~until5(s25))),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 0.70/0.92 tff(1796,plain,
% 0.70/0.92 (xuntil6(s25) | (~until5(s25))),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1795, 614, 1789])).
% 0.70/0.92 tff(1797,plain,
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[1796, 1784])).
% 0.70/0.92 tff(1798,plain,
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% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1799,plain,
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% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1800,plain,
% 0.70/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25)),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1799, 1798])).
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[1800, 322, 632])).
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[1801, 1797])).
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[330, 1785])).
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% 0.70/0.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s24) | (~node4(s24)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s24) | (~node4(s24)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1805,plain,
% 0.70/0.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s24) | (~node4(s24)))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
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% 0.70/0.92 inference(modus_ponens,[status(thm)],[1805, 1804])).
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[1806, 595, 1803])).
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% 0.70/0.92 inference(rewrite,[status(thm)],[])).
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% 0.70/0.92 ((node4(s24) | (~until5(s24)) | xuntil6(s24)) <=> (xuntil6(s24) | node4(s24) | (~until5(s24)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1810,plain,
% 0.70/0.92 (((~![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))))),
% 0.70/0.92 inference(monotonicity,[status(thm)],[1809])).
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% 0.70/0.92 inference(transitivity,[status(thm)],[1810, 1808])).
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% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
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% 0.70/0.92 inference(modus_ponens,[status(thm)],[1812, 1811])).
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[1813, 614, 1807])).
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[1814, 1802])).
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% 0.70/0.92 inference(rewrite,[status(thm)],[])).
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% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
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% 0.70/0.92 inference(modus_ponens,[status(thm)],[1817, 1816])).
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[1818, 334, 632])).
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% 0.70/0.92 inference(rewrite,[status(thm)],[])).
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[1824, 595, 1821])).
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% 0.70/0.92 inference(rewrite,[status(thm)],[])).
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% 0.70/0.92 inference(monotonicity,[status(thm)],[1827])).
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% 0.70/0.92 (((~![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)))),
% 0.70/0.92 inference(transitivity,[status(thm)],[1828, 1826])).
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% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
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% 0.70/0.92 inference(modus_ponens,[status(thm)],[1830, 1829])).
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% 0.70/0.92 inference(unit_resolution,[status(thm)],[1832, 1820])).
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% 0.70/0.92 inference(rewrite,[status(thm)],[])).
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% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
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% 0.70/0.92 tff(1865,plain,
% 0.70/0.92 (((~![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)))),
% 0.70/0.92 inference(transitivity,[status(thm)],[1864, 1862])).
% 0.70/0.92 tff(1866,plain,
% 0.70/0.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s21) | (~until5(s21)) | xuntil6(s21))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1867,plain,
% 0.70/0.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s21) | node4(s21) | (~until5(s21))),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1866, 1865])).
% 0.70/0.92 tff(1868,plain,
% 0.70/0.92 (xuntil6(s21) | (~until5(s21))),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1867, 614, 1861])).
% 0.70/0.92 tff(1869,plain,
% 0.70/0.92 (~until5(s21)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1868, 1856])).
% 0.70/0.92 tff(1870,plain,
% 0.70/0.92 (((~![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))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1871,plain,
% 0.70/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1872,plain,
% 0.70/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21)),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1871, 1870])).
% 0.70/0.92 tff(1873,plain,
% 0.70/0.92 ((~xuntil6(s20)) | until5(s21)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1872, 370, 632])).
% 0.70/0.92 tff(1874,plain,
% 0.70/0.92 (~xuntil6(s20)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1873, 1869])).
% 0.70/0.92 tff(1875,plain,
% 0.70/0.92 (~always3(s20)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[378, 1857])).
% 0.70/0.92 tff(1876,plain,
% 0.70/0.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s20) | (~node4(s20)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s20) | (~node4(s20)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1877,plain,
% 0.70/0.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s20) | (~node4(s20)))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1878,plain,
% 0.70/0.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s20) | (~node4(s20))),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1877, 1876])).
% 0.70/0.92 tff(1879,plain,
% 0.70/0.92 (~node4(s20)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1878, 595, 1875])).
% 0.70/0.92 tff(1880,plain,
% 0.70/0.92 (((~![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)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1881,plain,
% 0.70/0.92 ((node4(s20) | (~until5(s20)) | xuntil6(s20)) <=> (xuntil6(s20) | node4(s20) | (~until5(s20)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1882,plain,
% 0.70/0.92 (((~![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))))),
% 0.70/0.92 inference(monotonicity,[status(thm)],[1881])).
% 0.70/0.92 tff(1883,plain,
% 0.70/0.92 (((~![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)))),
% 0.70/0.92 inference(transitivity,[status(thm)],[1882, 1880])).
% 0.70/0.92 tff(1884,plain,
% 0.70/0.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s20) | (~until5(s20)) | xuntil6(s20))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1885,plain,
% 0.70/0.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s20) | node4(s20) | (~until5(s20))),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1884, 1883])).
% 0.70/0.92 tff(1886,plain,
% 0.70/0.92 (xuntil6(s20) | (~until5(s20))),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1885, 614, 1879])).
% 0.70/0.92 tff(1887,plain,
% 0.70/0.92 (~until5(s20)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1886, 1874])).
% 0.70/0.92 tff(1888,plain,
% 0.70/0.92 (((~![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))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1889,plain,
% 0.70/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1890,plain,
% 0.70/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20)),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1889, 1888])).
% 0.70/0.92 tff(1891,plain,
% 0.70/0.92 ((~xuntil6(s19)) | until5(s20)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1890, 382, 632])).
% 0.70/0.92 tff(1892,plain,
% 0.70/0.92 (~xuntil6(s19)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1891, 1887])).
% 0.70/0.92 tff(1893,plain,
% 0.70/0.92 (~always3(s19)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[390, 1875])).
% 0.70/0.92 tff(1894,plain,
% 0.70/0.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s19) | (~node4(s19)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s19) | (~node4(s19)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1895,plain,
% 0.70/0.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s19) | (~node4(s19)))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1896,plain,
% 0.70/0.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s19) | (~node4(s19))),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1895, 1894])).
% 0.70/0.92 tff(1897,plain,
% 0.70/0.92 (~node4(s19)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1896, 595, 1893])).
% 0.70/0.92 tff(1898,plain,
% 0.70/0.92 (((~![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)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1899,plain,
% 0.70/0.92 ((node4(s19) | (~until5(s19)) | xuntil6(s19)) <=> (xuntil6(s19) | node4(s19) | (~until5(s19)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1900,plain,
% 0.70/0.92 (((~![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))))),
% 0.70/0.92 inference(monotonicity,[status(thm)],[1899])).
% 0.70/0.92 tff(1901,plain,
% 0.70/0.92 (((~![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)))),
% 0.70/0.92 inference(transitivity,[status(thm)],[1900, 1898])).
% 0.70/0.92 tff(1902,plain,
% 0.70/0.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s19) | (~until5(s19)) | xuntil6(s19))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1903,plain,
% 0.70/0.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s19) | node4(s19) | (~until5(s19))),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1902, 1901])).
% 0.70/0.92 tff(1904,plain,
% 0.70/0.92 (xuntil6(s19) | (~until5(s19))),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1903, 614, 1897])).
% 0.70/0.92 tff(1905,plain,
% 0.70/0.92 (~until5(s19)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1904, 1892])).
% 0.70/0.92 tff(1906,plain,
% 0.70/0.92 (((~![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))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1907,plain,
% 0.70/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1908,plain,
% 0.70/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19)),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1907, 1906])).
% 0.70/0.92 tff(1909,plain,
% 0.70/0.92 ((~xuntil6(s18)) | until5(s19)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1908, 394, 632])).
% 0.70/0.92 tff(1910,plain,
% 0.70/0.92 (~xuntil6(s18)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1909, 1905])).
% 0.70/0.92 tff(1911,plain,
% 0.70/0.92 (~always3(s18)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[402, 1893])).
% 0.70/0.92 tff(1912,plain,
% 0.70/0.92 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s18) | (~node4(s18)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s18) | (~node4(s18)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1913,plain,
% 0.70/0.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s18) | (~node4(s18)))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1914,plain,
% 0.70/0.92 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s18) | (~node4(s18))),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1913, 1912])).
% 0.70/0.92 tff(1915,plain,
% 0.70/0.92 (~node4(s18)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1914, 595, 1911])).
% 0.70/0.92 tff(1916,plain,
% 0.70/0.92 (((~![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)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1917,plain,
% 0.70/0.92 ((node4(s18) | (~until5(s18)) | xuntil6(s18)) <=> (xuntil6(s18) | node4(s18) | (~until5(s18)))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1918,plain,
% 0.70/0.92 (((~![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))))),
% 0.70/0.92 inference(monotonicity,[status(thm)],[1917])).
% 0.70/0.92 tff(1919,plain,
% 0.70/0.92 (((~![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)))),
% 0.70/0.92 inference(transitivity,[status(thm)],[1918, 1916])).
% 0.70/0.92 tff(1920,plain,
% 0.70/0.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s18) | (~until5(s18)) | xuntil6(s18))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1921,plain,
% 0.70/0.92 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s18) | node4(s18) | (~until5(s18))),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1920, 1919])).
% 0.70/0.92 tff(1922,plain,
% 0.70/0.92 (xuntil6(s18) | (~until5(s18))),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1921, 614, 1915])).
% 0.70/0.92 tff(1923,plain,
% 0.70/0.92 (~until5(s18)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1922, 1910])).
% 0.70/0.92 tff(1924,plain,
% 0.70/0.92 (((~![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))),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1925,plain,
% 0.70/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18))),
% 0.70/0.92 inference(quant_inst,[status(thm)],[])).
% 0.70/0.92 tff(1926,plain,
% 0.70/0.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18)),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1925, 1924])).
% 0.70/0.92 tff(1927,plain,
% 0.70/0.92 ((~xuntil6(s17)) | until5(s18)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1926, 406, 632])).
% 0.70/0.92 tff(1928,plain,
% 0.70/0.92 (~xuntil6(s17)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[1927, 1923])).
% 0.70/0.92 tff(1929,plain,
% 0.70/0.92 (~always3(s17)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[414, 1911])).
% 0.70/0.92 tff(1930,plain,
% 0.70/0.92 (~always3(s16)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[426, 1929])).
% 0.70/0.92 tff(1931,plain,
% 0.70/0.92 (~always3(s15)),
% 0.70/0.92 inference(unit_resolution,[status(thm)],[438, 1930])).
% 0.70/0.92 tff(1932,plain,
% 0.70/0.92 (succ(s14, s15) <=> succ(s14, s15)),
% 0.70/0.92 inference(rewrite,[status(thm)],[])).
% 0.70/0.92 tff(1933,axiom,(succ(s14, s15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound15')).
% 0.70/0.92 tff(1934,plain,
% 0.70/0.92 (succ(s14, s15)),
% 0.70/0.92 inference(modus_ponens,[status(thm)],[1933, 1932])).
% 0.70/0.92 tff(1935,plain,
% 0.70/0.92 (((~![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))),
% 0.70/0.93 inference(rewrite,[status(thm)],[])).
% 0.70/0.93 tff(1936,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))),
% 0.70/0.93 inference(quant_inst,[status(thm)],[])).
% 0.70/0.93 tff(1937,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15)),
% 0.70/0.93 inference(modus_ponens,[status(thm)],[1936, 1935])).
% 0.70/0.93 tff(1938,plain,
% 0.70/0.93 (trans(s14, s15)),
% 0.70/0.93 inference(unit_resolution,[status(thm)],[1937, 1934, 33])).
% 0.70/0.93 tff(1939,plain,
% 0.70/0.93 (((~![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))),
% 0.70/0.93 inference(rewrite,[status(thm)],[])).
% 0.70/0.93 tff(1940,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s14, s15)) | (~always3(s14)) | always3(s15))),
% 0.70/0.93 inference(quant_inst,[status(thm)],[])).
% 0.70/0.93 tff(1941,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s14, s15)) | (~always3(s14)) | always3(s15)),
% 0.70/0.93 inference(modus_ponens,[status(thm)],[1940, 1939])).
% 0.70/0.93 tff(1942,plain,
% 0.70/0.93 ((~always3(s14)) | always3(s15)),
% 0.70/0.93 inference(unit_resolution,[status(thm)],[1941, 50, 1938])).
% 0.70/0.93 tff(1943,plain,
% 0.70/0.93 (~always3(s14)),
% 0.70/0.93 inference(unit_resolution,[status(thm)],[1942, 1931])).
% 0.70/0.93 tff(1944,plain,
% 0.70/0.93 (succ(s13, s14) <=> succ(s13, s14)),
% 0.70/0.93 inference(rewrite,[status(thm)],[])).
% 0.70/0.93 tff(1945,axiom,(succ(s13, s14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound14')).
% 0.70/0.93 tff(1946,plain,
% 0.70/0.93 (succ(s13, s14)),
% 0.70/0.93 inference(modus_ponens,[status(thm)],[1945, 1944])).
% 0.70/0.93 tff(1947,plain,
% 0.70/0.93 (((~![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))),
% 0.70/0.93 inference(rewrite,[status(thm)],[])).
% 0.70/0.93 tff(1948,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))),
% 0.70/0.93 inference(quant_inst,[status(thm)],[])).
% 0.70/0.93 tff(1949,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14)),
% 0.70/0.93 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 0.70/0.93 tff(1950,plain,
% 0.70/0.93 (trans(s13, s14)),
% 0.70/0.93 inference(unit_resolution,[status(thm)],[1949, 1946, 33])).
% 0.70/0.93 tff(1951,plain,
% 0.70/0.93 (((~![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))),
% 0.70/0.93 inference(rewrite,[status(thm)],[])).
% 0.70/0.93 tff(1952,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s13, s14)) | (~always3(s13)) | always3(s14))),
% 0.70/0.93 inference(quant_inst,[status(thm)],[])).
% 0.70/0.93 tff(1953,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s13, s14)) | (~always3(s13)) | always3(s14)),
% 0.70/0.93 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 0.70/0.93 tff(1954,plain,
% 0.70/0.93 ((~always3(s13)) | always3(s14)),
% 0.70/0.93 inference(unit_resolution,[status(thm)],[1953, 50, 1950])).
% 0.70/0.93 tff(1955,plain,
% 0.70/0.93 (~always3(s13)),
% 0.70/0.93 inference(unit_resolution,[status(thm)],[1954, 1943])).
% 0.70/0.93 tff(1956,plain,
% 0.70/0.93 (succ(s12, s13) <=> succ(s12, s13)),
% 0.70/0.93 inference(rewrite,[status(thm)],[])).
% 0.70/0.93 tff(1957,axiom,(succ(s12, s13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound13')).
% 0.70/0.93 tff(1958,plain,
% 0.70/0.93 (succ(s12, s13)),
% 0.70/0.93 inference(modus_ponens,[status(thm)],[1957, 1956])).
% 0.70/0.93 tff(1959,plain,
% 0.70/0.93 (((~![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))),
% 0.70/0.93 inference(rewrite,[status(thm)],[])).
% 0.70/0.93 tff(1960,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))),
% 0.70/0.93 inference(quant_inst,[status(thm)],[])).
% 0.70/0.93 tff(1961,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13)),
% 0.70/0.93 inference(modus_ponens,[status(thm)],[1960, 1959])).
% 0.70/0.93 tff(1962,plain,
% 0.70/0.93 (trans(s12, s13)),
% 0.70/0.93 inference(unit_resolution,[status(thm)],[1961, 1958, 33])).
% 0.70/0.93 tff(1963,plain,
% 0.70/0.93 (((~![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))),
% 0.70/0.93 inference(rewrite,[status(thm)],[])).
% 0.70/0.93 tff(1964,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s12, s13)) | (~always3(s12)) | always3(s13))),
% 0.70/0.93 inference(quant_inst,[status(thm)],[])).
% 0.70/0.93 tff(1965,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s12, s13)) | (~always3(s12)) | always3(s13)),
% 0.70/0.93 inference(modus_ponens,[status(thm)],[1964, 1963])).
% 0.70/0.93 tff(1966,plain,
% 0.70/0.93 ((~always3(s12)) | always3(s13)),
% 0.70/0.93 inference(unit_resolution,[status(thm)],[1965, 50, 1962])).
% 0.70/0.93 tff(1967,plain,
% 0.70/0.93 (~always3(s12)),
% 0.70/0.93 inference(unit_resolution,[status(thm)],[1966, 1955])).
% 0.70/0.93 tff(1968,plain,
% 0.70/0.93 (succ(s11, s12) <=> succ(s11, s12)),
% 0.70/0.93 inference(rewrite,[status(thm)],[])).
% 0.70/0.93 tff(1969,axiom,(succ(s11, s12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound12')).
% 0.70/0.93 tff(1970,plain,
% 0.70/0.93 (succ(s11, s12)),
% 0.70/0.93 inference(modus_ponens,[status(thm)],[1969, 1968])).
% 0.70/0.93 tff(1971,plain,
% 0.70/0.93 (((~![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))),
% 0.70/0.93 inference(rewrite,[status(thm)],[])).
% 0.70/0.93 tff(1972,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))),
% 0.70/0.93 inference(quant_inst,[status(thm)],[])).
% 0.70/0.93 tff(1973,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12)),
% 0.70/0.93 inference(modus_ponens,[status(thm)],[1972, 1971])).
% 0.70/0.93 tff(1974,plain,
% 0.70/0.93 (trans(s11, s12)),
% 0.70/0.93 inference(unit_resolution,[status(thm)],[1973, 1970, 33])).
% 0.70/0.93 tff(1975,plain,
% 0.70/0.93 (((~![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))),
% 0.70/0.93 inference(rewrite,[status(thm)],[])).
% 0.70/0.93 tff(1976,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s11, s12)) | (~always3(s11)) | always3(s12))),
% 0.70/0.93 inference(quant_inst,[status(thm)],[])).
% 0.70/0.93 tff(1977,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s11, s12)) | (~always3(s11)) | always3(s12)),
% 0.70/0.93 inference(modus_ponens,[status(thm)],[1976, 1975])).
% 0.70/0.93 tff(1978,plain,
% 0.70/0.93 ((~always3(s11)) | always3(s12)),
% 0.70/0.93 inference(unit_resolution,[status(thm)],[1977, 50, 1974])).
% 0.70/0.93 tff(1979,plain,
% 0.70/0.93 (~always3(s11)),
% 0.70/0.93 inference(unit_resolution,[status(thm)],[1978, 1967])).
% 0.70/0.93 tff(1980,plain,
% 0.70/0.93 (succ(s10, s11) <=> succ(s10, s11)),
% 0.70/0.93 inference(rewrite,[status(thm)],[])).
% 0.70/0.93 tff(1981,axiom,(succ(s10, s11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound11')).
% 0.70/0.93 tff(1982,plain,
% 0.70/0.93 (succ(s10, s11)),
% 0.70/0.93 inference(modus_ponens,[status(thm)],[1981, 1980])).
% 0.70/0.93 tff(1983,plain,
% 0.70/0.93 (((~![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))),
% 0.70/0.93 inference(rewrite,[status(thm)],[])).
% 0.70/0.93 tff(1984,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))),
% 0.70/0.93 inference(quant_inst,[status(thm)],[])).
% 0.70/0.93 tff(1985,plain,
% 0.70/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11)),
% 0.70/0.93 inference(modus_ponens,[status(thm)],[1984, 1983])).
% 0.70/0.93 tff(1986,plain,
% 0.70/0.93 (trans(s10, s11)),
% 0.70/0.93 inference(unit_resolution,[status(thm)],[1985, 1982, 33])).
% 0.70/0.93 tff(1987,plain,
% 0.70/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(1988,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s10, s11)) | (~always3(s10)) | always3(s11))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(1989,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s10, s11)) | (~always3(s10)) | always3(s11)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[1988, 1987])).
% 0.77/0.93 tff(1990,plain,
% 0.77/0.93 ((~always3(s10)) | always3(s11)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[1989, 50, 1986])).
% 0.77/0.93 tff(1991,plain,
% 0.77/0.93 (~always3(s10)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[1990, 1979])).
% 0.77/0.93 tff(1992,plain,
% 0.77/0.93 (succ(s9, s10) <=> succ(s9, s10)),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(1993,axiom,(succ(s9, s10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound10')).
% 0.77/0.93 tff(1994,plain,
% 0.77/0.93 (succ(s9, s10)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[1993, 1992])).
% 0.77/0.93 tff(1995,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(1996,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(1997,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[1996, 1995])).
% 0.77/0.93 tff(1998,plain,
% 0.77/0.93 (trans(s9, s10)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[1997, 1994, 33])).
% 0.77/0.93 tff(1999,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2000,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s9, s10)) | (~always3(s9)) | always3(s10))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2001,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s9, s10)) | (~always3(s9)) | always3(s10)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2000, 1999])).
% 0.77/0.93 tff(2002,plain,
% 0.77/0.93 ((~always3(s9)) | always3(s10)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2001, 50, 1998])).
% 0.77/0.93 tff(2003,plain,
% 0.77/0.93 (~always3(s9)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2002, 1991])).
% 0.77/0.93 tff(2004,plain,
% 0.77/0.93 (succ(s8, s9) <=> succ(s8, s9)),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2005,axiom,(succ(s8, s9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound9')).
% 0.77/0.93 tff(2006,plain,
% 0.77/0.93 (succ(s8, s9)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2005, 2004])).
% 0.77/0.93 tff(2007,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2008,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2009,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2008, 2007])).
% 0.77/0.93 tff(2010,plain,
% 0.77/0.93 (trans(s8, s9)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2009, 2006, 33])).
% 0.77/0.93 tff(2011,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2012,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s8, s9)) | (~always3(s8)) | always3(s9))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2013,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s8, s9)) | (~always3(s8)) | always3(s9)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2012, 2011])).
% 0.77/0.93 tff(2014,plain,
% 0.77/0.93 ((~always3(s8)) | always3(s9)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2013, 50, 2010])).
% 0.77/0.93 tff(2015,plain,
% 0.77/0.93 (~always3(s8)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2014, 2003])).
% 0.77/0.93 tff(2016,plain,
% 0.77/0.93 (succ(s7, s8) <=> succ(s7, s8)),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2017,axiom,(succ(s7, s8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound8')).
% 0.77/0.93 tff(2018,plain,
% 0.77/0.93 (succ(s7, s8)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2017, 2016])).
% 0.77/0.93 tff(2019,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2020,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2021,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2020, 2019])).
% 0.77/0.93 tff(2022,plain,
% 0.77/0.93 (trans(s7, s8)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2021, 2018, 33])).
% 0.77/0.93 tff(2023,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2024,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s7, s8)) | (~always3(s7)) | always3(s8))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2025,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s7, s8)) | (~always3(s7)) | always3(s8)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2024, 2023])).
% 0.77/0.93 tff(2026,plain,
% 0.77/0.93 ((~always3(s7)) | always3(s8)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2025, 50, 2022])).
% 0.77/0.93 tff(2027,plain,
% 0.77/0.93 (~always3(s7)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2026, 2015])).
% 0.77/0.93 tff(2028,plain,
% 0.77/0.93 (succ(s6, s7) <=> succ(s6, s7)),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2029,axiom,(succ(s6, s7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound7')).
% 0.77/0.93 tff(2030,plain,
% 0.77/0.93 (succ(s6, s7)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2029, 2028])).
% 0.77/0.93 tff(2031,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2032,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2033,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2032, 2031])).
% 0.77/0.93 tff(2034,plain,
% 0.77/0.93 (trans(s6, s7)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2033, 2030, 33])).
% 0.77/0.93 tff(2035,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2036,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s6, s7)) | (~always3(s6)) | always3(s7))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2037,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s6, s7)) | (~always3(s6)) | always3(s7)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2036, 2035])).
% 0.77/0.93 tff(2038,plain,
% 0.77/0.93 ((~always3(s6)) | always3(s7)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2037, 50, 2034])).
% 0.77/0.93 tff(2039,plain,
% 0.77/0.93 (~always3(s6)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2038, 2027])).
% 0.77/0.93 tff(2040,plain,
% 0.77/0.93 (succ(s5, s6) <=> succ(s5, s6)),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2041,axiom,(succ(s5, s6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound6')).
% 0.77/0.93 tff(2042,plain,
% 0.77/0.93 (succ(s5, s6)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2041, 2040])).
% 0.77/0.93 tff(2043,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2044,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2045,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2044, 2043])).
% 0.77/0.93 tff(2046,plain,
% 0.77/0.93 (trans(s5, s6)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2045, 2042, 33])).
% 0.77/0.93 tff(2047,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2048,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s5, s6)) | (~always3(s5)) | always3(s6))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2049,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s5, s6)) | (~always3(s5)) | always3(s6)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 0.77/0.93 tff(2050,plain,
% 0.77/0.93 ((~always3(s5)) | always3(s6)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2049, 50, 2046])).
% 0.77/0.93 tff(2051,plain,
% 0.77/0.93 (~always3(s5)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2050, 2039])).
% 0.77/0.93 tff(2052,plain,
% 0.77/0.93 (succ(s4, s5) <=> succ(s4, s5)),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2053,axiom,(succ(s4, s5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound5')).
% 0.77/0.93 tff(2054,plain,
% 0.77/0.93 (succ(s4, s5)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2053, 2052])).
% 0.77/0.93 tff(2055,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2056,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2057,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 0.77/0.93 tff(2058,plain,
% 0.77/0.93 (trans(s4, s5)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2057, 2054, 33])).
% 0.77/0.93 tff(2059,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2060,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s4, s5)) | (~always3(s4)) | always3(s5))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2061,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s4, s5)) | (~always3(s4)) | always3(s5)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2060, 2059])).
% 0.77/0.93 tff(2062,plain,
% 0.77/0.93 ((~always3(s4)) | always3(s5)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2061, 50, 2058])).
% 0.77/0.93 tff(2063,plain,
% 0.77/0.93 (~always3(s4)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2062, 2051])).
% 0.77/0.93 tff(2064,plain,
% 0.77/0.93 (succ(s3, s4) <=> succ(s3, s4)),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2065,axiom,(succ(s3, s4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound4')).
% 0.77/0.93 tff(2066,plain,
% 0.77/0.93 (succ(s3, s4)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2065, 2064])).
% 0.77/0.93 tff(2067,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2068,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2069,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2068, 2067])).
% 0.77/0.93 tff(2070,plain,
% 0.77/0.93 (trans(s3, s4)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2069, 2066, 33])).
% 0.77/0.93 tff(2071,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2072,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s3, s4)) | (~always3(s3)) | always3(s4))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2073,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s3, s4)) | (~always3(s3)) | always3(s4)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2072, 2071])).
% 0.77/0.93 tff(2074,plain,
% 0.77/0.93 ((~always3(s3)) | always3(s4)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2073, 50, 2070])).
% 0.77/0.93 tff(2075,plain,
% 0.77/0.93 (~always3(s3)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2074, 2063])).
% 0.77/0.93 tff(2076,plain,
% 0.77/0.93 (succ(s2, s3) <=> succ(s2, s3)),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2077,axiom,(succ(s2, s3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound3')).
% 0.77/0.93 tff(2078,plain,
% 0.77/0.93 (succ(s2, s3)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2077, 2076])).
% 0.77/0.93 tff(2079,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2080,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2081,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2080, 2079])).
% 0.77/0.93 tff(2082,plain,
% 0.77/0.93 (trans(s2, s3)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2081, 2078, 33])).
% 0.77/0.93 tff(2083,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2084,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s2, s3)) | (~always3(s2)) | always3(s3))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2085,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s2, s3)) | (~always3(s2)) | always3(s3)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2084, 2083])).
% 0.77/0.93 tff(2086,plain,
% 0.77/0.93 ((~always3(s2)) | always3(s3)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2085, 50, 2082])).
% 0.77/0.93 tff(2087,plain,
% 0.77/0.93 (~always3(s2)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2086, 2075])).
% 0.77/0.93 tff(2088,plain,
% 0.77/0.93 (succ(s1, s2) <=> succ(s1, s2)),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2089,axiom,(succ(s1, s2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound2')).
% 0.77/0.93 tff(2090,plain,
% 0.77/0.93 (succ(s1, s2)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2089, 2088])).
% 0.77/0.93 tff(2091,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2092,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2093,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2092, 2091])).
% 0.77/0.93 tff(2094,plain,
% 0.77/0.93 (trans(s1, s2)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2093, 2090, 33])).
% 0.77/0.93 tff(2095,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2096,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s1, s2)) | (~always3(s1)) | always3(s2))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2097,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s1, s2)) | (~always3(s1)) | always3(s2)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2096, 2095])).
% 0.77/0.93 tff(2098,plain,
% 0.77/0.93 ((~always3(s1)) | always3(s2)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2097, 50, 2094])).
% 0.77/0.93 tff(2099,plain,
% 0.77/0.93 (~always3(s1)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2098, 2087])).
% 0.77/0.93 tff(2100,plain,
% 0.77/0.93 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s1) | (~node4(s1)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s1) | (~node4(s1)))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2101,plain,
% 0.77/0.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s1) | (~node4(s1)))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2102,plain,
% 0.77/0.93 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s1) | (~node4(s1))),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2101, 2100])).
% 0.77/0.93 tff(2103,plain,
% 0.77/0.93 (~node4(s1)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2102, 595, 2099])).
% 0.77/0.93 tff(2104,plain,
% 0.77/0.93 (succ(s0, s1) <=> succ(s0, s1)),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2105,axiom,(succ(s0, s1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound1')).
% 0.77/0.93 tff(2106,plain,
% 0.77/0.93 (succ(s0, s1)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2105, 2104])).
% 0.77/0.93 tff(2107,plain,
% 0.77/0.93 (((~![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))),
% 0.77/0.93 inference(rewrite,[status(thm)],[])).
% 0.77/0.93 tff(2108,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
% 0.77/0.93 tff(2109,plain,
% 0.77/0.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 0.77/0.93 inference(modus_ponens,[status(thm)],[2108, 2107])).
% 0.77/0.93 tff(2110,plain,
% 0.77/0.93 (trans(s0, s1)),
% 0.77/0.93 inference(unit_resolution,[status(thm)],[2109, 2106, 33])).
% 0.77/0.93 tff(2111,plain,
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% 0.77/0.93 inference(rewrite,[status(thm)],[])).
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% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.93 inference(unit_resolution,[status(thm)],[2114, 2099])).
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% 0.77/0.93 inference(rewrite,[status(thm)],[])).
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% 0.77/0.93 inference(rewrite,[status(thm)],[])).
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% 0.77/0.93 inference(rewrite,[status(thm)],[])).
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% 0.77/0.93 inference(monotonicity,[status(thm)],[2124])).
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% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.93 inference(rewrite,[status(thm)],[])).
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% 0.77/0.93 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.95 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.95 inference(modus_ponens,[status(thm)],[2399, 2398])).
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% 0.77/0.95 inference(unit_resolution,[status(thm)],[2400, 418, 632])).
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% 0.77/0.95 inference(unit_resolution,[status(thm)],[2401, 2397])).
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% 0.77/0.95 inference(rewrite,[status(thm)],[])).
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% 0.77/0.95 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.95 inference(modus_ponens,[status(thm)],[2404, 2403])).
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% 0.77/0.95 inference(rewrite,[status(thm)],[])).
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% 0.77/0.95 inference(rewrite,[status(thm)],[])).
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% 0.77/0.95 inference(monotonicity,[status(thm)],[2408])).
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% 0.77/0.95 inference(transitivity,[status(thm)],[2409, 2407])).
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% 0.77/0.95 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.95 tff(2415,plain,(always3(s34) | xuntil6(s34)), inference(lemma,lemma(discharge,[]))).
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% 0.77/0.95 inference(unit_resolution,[status(thm)],[2415, 1622])).
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% 0.77/0.95 inference(rewrite,[status(thm)],[])).
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% 0.77/0.95 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.95 inference(modus_ponens,[status(thm)],[2418, 2417])).
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% 0.77/0.95 inference(unit_resolution,[status(thm)],[2419, 202, 632])).
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% 0.77/0.95 inference(unit_resolution,[status(thm)],[2420, 2416])).
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% 0.77/0.95 inference(rewrite,[status(thm)],[])).
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% 0.77/0.95 ((node4(s35) | (~until5(s35)) | xuntil6(s35)) <=> (xuntil6(s35) | node4(s35) | (~until5(s35)))),
% 0.77/0.95 inference(rewrite,[status(thm)],[])).
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% 0.77/0.95 inference(monotonicity,[status(thm)],[2423])).
% 0.77/0.95 tff(2425,plain,
% 0.77/0.95 (((~![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)))),
% 0.77/0.95 inference(transitivity,[status(thm)],[2424, 2422])).
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% 0.77/0.95 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.95 inference(modus_ponens,[status(thm)],[2426, 2425])).
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% 0.77/0.95 inference(unit_resolution,[status(thm)],[2427, 614, 2421])).
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% 0.77/0.95 inference(unit_resolution,[status(thm)],[2428, 1621])).
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% 0.77/0.95 inference(rewrite,[status(thm)],[])).
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% 0.77/0.95 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.95 inference(modus_ponens,[status(thm)],[2431, 2430])).
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% 0.77/0.95 inference(rewrite,[status(thm)],[])).
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% 0.77/0.95 inference(monotonicity,[status(thm)],[2436])).
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% 0.77/0.95 inference(transitivity,[status(thm)],[2437, 2435])).
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% 0.77/0.95 inference(rewrite,[status(thm)],[])).
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% 0.77/0.95 inference(rewrite,[status(thm)],[])).
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% 0.77/0.95 inference(transitivity,[status(thm)],[2453, 2451])).
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% 0.77/0.95 inference(rewrite,[status(thm)],[])).
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% 0.77/0.95 inference(rewrite,[status(thm)],[])).
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% 0.77/0.95 inference(monotonicity,[status(thm)],[2469])).
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% 0.77/0.95 inference(transitivity,[status(thm)],[2470, 2468])).
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% 0.77/0.95 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.95 inference(unit_resolution,[status(thm)],[2473, 614, 2467])).
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% 0.77/0.95 inference(unit_resolution,[status(thm)],[2474, 2463])).
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% 0.77/0.95 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.95 inference(rewrite,[status(thm)],[])).
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% 0.77/0.95 inference(rewrite,[status(thm)],[])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2542, 2531])).
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
% 0.77/0.96 tff(2545,plain,
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% 0.77/0.96 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.96 inference(modus_ponens,[status(thm)],[2545, 2544])).
% 0.77/0.96 tff(2547,plain,
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2546, 106, 632])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2547, 2543])).
% 0.77/0.96 tff(2549,plain,
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
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% 0.77/0.96 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.96 inference(modus_ponens,[status(thm)],[2550, 2549])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2551, 595, 1605])).
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
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% 0.77/0.96 ((node4(s43) | (~until5(s43)) | xuntil6(s43)) <=> (xuntil6(s43) | node4(s43) | (~until5(s43)))),
% 0.77/0.96 inference(rewrite,[status(thm)],[])).
% 0.77/0.96 tff(2555,plain,
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% 0.77/0.96 inference(monotonicity,[status(thm)],[2554])).
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% 0.77/0.96 inference(transitivity,[status(thm)],[2555, 2553])).
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% 0.77/0.96 inference(quant_inst,[status(thm)],[])).
% 0.77/0.96 tff(2558,plain,
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% 0.77/0.96 inference(modus_ponens,[status(thm)],[2557, 2556])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2558, 614, 2552])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2559, 2548])).
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
% 0.77/0.96 tff(2562,plain,
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% 0.77/0.96 inference(quant_inst,[status(thm)],[])).
% 0.77/0.96 tff(2563,plain,
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% 0.77/0.96 inference(modus_ponens,[status(thm)],[2562, 2561])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2563, 94, 632])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2564, 2560])).
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
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% 0.77/0.96 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.96 inference(modus_ponens,[status(thm)],[2567, 2566])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2568, 595, 1604])).
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
% 0.77/0.96 tff(2571,plain,
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
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% 0.77/0.96 inference(monotonicity,[status(thm)],[2571])).
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% 0.77/0.96 inference(transitivity,[status(thm)],[2572, 2570])).
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% 0.77/0.96 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2575, 614, 2569])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2576, 2565])).
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
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% 0.77/0.96 inference(quant_inst,[status(thm)],[])).
% 0.77/0.96 tff(2580,plain,
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% 0.77/0.96 inference(modus_ponens,[status(thm)],[2579, 2578])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2580, 82, 632])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2581, 2577])).
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2592, 614, 2586])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2593, 2582])).
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
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% 0.77/0.96 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
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% 0.77/0.96 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2614, 58, 632])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2615, 2611])).
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
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% 0.77/0.96 inference(quant_inst,[status(thm)],[])).
% 0.77/0.96 tff(2619,plain,
% 0.77/0.96 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s47) | (~node4(s47))),
% 0.77/0.96 inference(modus_ponens,[status(thm)],[2618, 2617])).
% 0.77/0.96 tff(2620,plain,
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2619, 595, 1601])).
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
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% 0.77/0.96 inference(monotonicity,[status(thm)],[2622])).
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% 0.77/0.96 inference(transitivity,[status(thm)],[2623, 2621])).
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% 0.77/0.96 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2626, 614, 2620])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2627, 2616])).
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% 0.77/0.96 inference(quant_inst,[status(thm)],[])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2631, 36, 632])).
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% 0.77/0.96 inference(unit_resolution,[status(thm)],[2632, 2628])).
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
% 0.77/0.96 tff(2639,plain,
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% 0.77/0.96 inference(rewrite,[status(thm)],[])).
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% 0.77/0.96 inference(monotonicity,[status(thm)],[2639])).
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% 0.80/0.96 inference(rewrite,[status(thm)],[])).
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% 0.80/0.96 inference(rewrite,[status(thm)],[])).
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% 0.80/0.96 inference(monotonicity,[status(thm)],[2690])).
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% 0.80/0.96 inference(transitivity,[status(thm)],[2691, 2689])).
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% 0.80/0.96 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.96 inference(rewrite,[status(thm)],[])).
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% 0.80/0.96 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(monotonicity,[status(thm)],[2758])).
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% 0.80/0.97 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s55) | (~until5(s55)) | xuntil6(s55))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s55) | node4(s55) | (~until5(s55)))),
% 0.80/0.97 inference(transitivity,[status(thm)],[2759, 2757])).
% 0.80/0.97 tff(2761,plain,
% 0.80/0.97 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s55) | (~until5(s55)) | xuntil6(s55))),
% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
% 0.80/0.97 tff(2762,plain,
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% 0.80/0.97 inference(modus_ponens,[status(thm)],[2761, 2760])).
% 0.80/0.97 tff(2763,plain,
% 0.80/0.97 (xuntil6(s55) | (~until5(s55))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[2762, 614, 2756])).
% 0.80/0.97 tff(2764,plain,
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2763, 2752])).
% 0.80/0.97 tff(2765,plain,
% 0.80/0.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s55, s56)) | (~xuntil6(s55)) | until5(s56))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s55, s56)) | (~xuntil6(s55)) | until5(s56))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(2766,plain,
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% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
% 0.80/0.97 tff(2767,plain,
% 0.80/0.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s55, s56)) | (~xuntil6(s55)) | until5(s56)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[2766, 2765])).
% 0.80/0.97 tff(2768,plain,
% 0.80/0.97 ((~xuntil6(s55)) | until5(s56)),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[2767, 1507, 632])).
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2768, 2764])).
% 0.80/0.97 tff(2770,plain,
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(2771,plain,
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% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
% 0.80/0.97 tff(2772,plain,
% 0.80/0.97 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s56) | (~node4(s56))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[2771, 2770])).
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2772, 595, 1504])).
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% 0.80/0.97 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s56) | node4(s56) | (~until5(s56)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s56) | node4(s56) | (~until5(s56)))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(2775,plain,
% 0.80/0.97 ((node4(s56) | (~until5(s56)) | xuntil6(s56)) <=> (xuntil6(s56) | node4(s56) | (~until5(s56)))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(2776,plain,
% 0.80/0.97 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s56) | (~until5(s56)) | xuntil6(s56))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s56) | node4(s56) | (~until5(s56))))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[2775])).
% 0.80/0.97 tff(2777,plain,
% 0.80/0.97 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s56) | (~until5(s56)) | xuntil6(s56))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s56) | node4(s56) | (~until5(s56)))),
% 0.80/0.97 inference(transitivity,[status(thm)],[2776, 2774])).
% 0.80/0.97 tff(2778,plain,
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% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
% 0.80/0.97 tff(2779,plain,
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% 0.80/0.97 inference(modus_ponens,[status(thm)],[2778, 2777])).
% 0.80/0.97 tff(2780,plain,
% 0.80/0.97 (xuntil6(s56) | (~until5(s56))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[2779, 614, 2773])).
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2780, 2769])).
% 0.80/0.97 tff(2782,plain,
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(2783,plain,
% 0.80/0.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s56, s57)) | (~xuntil6(s56)) | until5(s57))),
% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
% 0.80/0.97 tff(2784,plain,
% 0.80/0.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s56, s57)) | (~xuntil6(s56)) | until5(s57)),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[2783, 2782])).
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2784, 1495, 632])).
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2785, 2781])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(2788,plain,
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% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
% 0.80/0.97 tff(2789,plain,
% 0.80/0.97 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s57) | (~node4(s57))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[2788, 2787])).
% 0.80/0.97 tff(2790,plain,
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2789, 595, 1492])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(2792,plain,
% 0.80/0.97 ((node4(s57) | (~until5(s57)) | xuntil6(s57)) <=> (xuntil6(s57) | node4(s57) | (~until5(s57)))),
% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(2793,plain,
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% 0.80/0.97 inference(monotonicity,[status(thm)],[2792])).
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% 0.80/0.97 inference(transitivity,[status(thm)],[2793, 2791])).
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% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
% 0.80/0.97 tff(2796,plain,
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% 0.80/0.97 inference(modus_ponens,[status(thm)],[2795, 2794])).
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2796, 614, 2790])).
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2797, 2786])).
% 0.80/0.97 tff(2799,plain,
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(2800,plain,
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% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.97 inference(modus_ponens,[status(thm)],[2800, 2799])).
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2801, 1483, 632])).
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2802, 2798])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.97 inference(modus_ponens,[status(thm)],[2805, 2804])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(monotonicity,[status(thm)],[2809])).
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% 0.80/0.97 inference(transitivity,[status(thm)],[2810, 2808])).
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% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.97 inference(modus_ponens,[status(thm)],[2812, 2811])).
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2814, 2803])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.97 inference(modus_ponens,[status(thm)],[2817, 2816])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(monotonicity,[status(thm)],[2826])).
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% 0.80/0.97 inference(transitivity,[status(thm)],[2827, 2825])).
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% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2830, 614, 2824])).
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2831, 2820])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.97 inference(modus_ponens,[status(thm)],[2834, 2833])).
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2835, 1459, 632])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(modus_ponens,[status(thm)],[2839, 2838])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(monotonicity,[status(thm)],[2843])).
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% 0.80/0.97 inference(transitivity,[status(thm)],[2844, 2842])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.97 inference(modus_ponens,[status(thm)],[2851, 2850])).
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2852, 1447, 632])).
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2853, 2849])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(monotonicity,[status(thm)],[2860])).
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% 0.80/0.97 inference(unit_resolution,[status(thm)],[2865, 2854])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.97 inference(monotonicity,[status(thm)],[2877])).
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
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% 0.80/0.97 tff(2890,plain,
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% 0.80/0.97 tff(2909,plain,
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% 0.80/0.97 inference(rewrite,[status(thm)],[])).
% 0.80/0.97 tff(2910,plain,
% 0.80/0.97 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s98) | (~until5(s98)) | xuntil6(s98))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s98) | node4(s98) | (~until5(s98))))),
% 0.80/0.97 inference(monotonicity,[status(thm)],[2909])).
% 0.80/0.97 tff(2911,plain,
% 0.80/0.97 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s98) | (~until5(s98)) | xuntil6(s98))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s98) | node4(s98) | (~until5(s98)))),
% 0.80/0.97 inference(transitivity,[status(thm)],[2910, 2908])).
% 0.80/0.97 tff(2912,plain,
% 0.80/0.97 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s98) | (~until5(s98)) | xuntil6(s98))),
% 0.80/0.97 inference(quant_inst,[status(thm)],[])).
% 0.80/0.97 tff(2913,plain,
% 0.80/0.97 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s98) | node4(s98) | (~until5(s98))),
% 0.80/0.97 inference(modus_ponens,[status(thm)],[2912, 2911])).
% 0.80/0.97 tff(2914,plain,
% 0.80/0.97 (node4(s98) | (~until5(s98))),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[2913, 614, 2907])).
% 0.80/0.97 tff(2915,plain,
% 0.80/0.97 (~until5(s98)),
% 0.80/0.97 inference(unit_resolution,[status(thm)],[2914, 2906])).
% 0.80/0.97 tff(2916,plain,
% 0.80/0.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s97, s98)) | (~xuntil6(s97)) | until5(s98))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s97, s98)) | (~xuntil6(s97)) | until5(s98))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(2917,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s97, s98)) | (~xuntil6(s97)) | until5(s98))),
% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(2918,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s97, s98)) | (~xuntil6(s97)) | until5(s98)),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[2917, 2916])).
% 0.80/0.98 tff(2919,plain,
% 0.80/0.98 ((~xuntil6(s97)) | until5(s98)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[2918, 458, 632])).
% 0.80/0.98 tff(2920,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2919, 2915])).
% 0.80/0.98 tff(2921,plain,
% 0.80/0.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s97) | node4(s97) | (~until5(s97)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s97) | node4(s97) | (~until5(s97)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(2922,plain,
% 0.80/0.98 ((node4(s97) | (~until5(s97)) | xuntil6(s97)) <=> (xuntil6(s97) | node4(s97) | (~until5(s97)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(2923,plain,
% 0.80/0.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s97) | (~until5(s97)) | xuntil6(s97))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s97) | node4(s97) | (~until5(s97))))),
% 0.80/0.98 inference(monotonicity,[status(thm)],[2922])).
% 0.80/0.98 tff(2924,plain,
% 0.80/0.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s97) | (~until5(s97)) | xuntil6(s97))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s97) | node4(s97) | (~until5(s97)))),
% 0.80/0.98 inference(transitivity,[status(thm)],[2923, 2921])).
% 0.80/0.98 tff(2925,plain,
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% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(2926,plain,
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% 0.80/0.98 inference(modus_ponens,[status(thm)],[2925, 2924])).
% 0.80/0.98 tff(2927,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2926, 614, 2920, 2902])).
% 0.80/0.98 tff(2928,plain,
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(2929,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s96, s97)) | (~xuntil6(s96)) | until5(s97))),
% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(2930,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s96, s97)) | (~xuntil6(s96)) | until5(s97)),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 0.80/0.98 tff(2931,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2930, 470, 632])).
% 0.80/0.98 tff(2932,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2931, 2927])).
% 0.80/0.98 tff(2933,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[478, 2898])).
% 0.80/0.98 tff(2934,plain,
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(2935,plain,
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% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(2936,plain,
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% 0.80/0.98 inference(modus_ponens,[status(thm)],[2935, 2934])).
% 0.80/0.98 tff(2937,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2936, 595, 2933])).
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(2939,plain,
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(2940,plain,
% 0.80/0.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s96) | (~until5(s96)) | xuntil6(s96))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s96) | node4(s96) | (~until5(s96))))),
% 0.80/0.98 inference(monotonicity,[status(thm)],[2939])).
% 0.80/0.98 tff(2941,plain,
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% 0.80/0.98 inference(transitivity,[status(thm)],[2940, 2938])).
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% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.98 inference(modus_ponens,[status(thm)],[2942, 2941])).
% 0.80/0.98 tff(2944,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2943, 614, 2937])).
% 0.80/0.98 tff(2945,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2944, 2932])).
% 0.80/0.98 tff(2946,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[490, 2933])).
% 0.80/0.98 tff(2947,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[502, 2946])).
% 0.80/0.98 tff(2948,plain,
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
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% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.98 inference(modus_ponens,[status(thm)],[2949, 2948])).
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2950, 595, 2947])).
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[514, 2947])).
% 0.80/0.98 tff(2953,plain,
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
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% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(2955,plain,
% 0.80/0.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s93) | (~node4(s93))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[2954, 2953])).
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2955, 595, 2952])).
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(2958,plain,
% 0.80/0.98 ((node4(s93) | (~until5(s93)) | xuntil6(s93)) <=> (xuntil6(s93) | node4(s93) | (~until5(s93)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(2959,plain,
% 0.80/0.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s93) | (~until5(s93)) | xuntil6(s93))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s93) | node4(s93) | (~until5(s93))))),
% 0.80/0.98 inference(monotonicity,[status(thm)],[2958])).
% 0.80/0.98 tff(2960,plain,
% 0.80/0.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s93) | (~until5(s93)) | xuntil6(s93))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s93) | node4(s93) | (~until5(s93)))),
% 0.80/0.98 inference(transitivity,[status(thm)],[2959, 2957])).
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% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(2962,plain,
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% 0.80/0.98 inference(modus_ponens,[status(thm)],[2961, 2960])).
% 0.80/0.98 tff(2963,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2962, 614, 2896])).
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2963, 2956])).
% 0.80/0.98 tff(2965,plain,
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(2966,plain,
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% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.98 inference(modus_ponens,[status(thm)],[2966, 2965])).
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2967, 506, 632])).
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2968, 2964])).
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(2971,plain,
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
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% 0.80/0.98 inference(monotonicity,[status(thm)],[2971])).
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% 0.80/0.98 inference(transitivity,[status(thm)],[2972, 2970])).
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% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
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% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.98 inference(modus_ponens,[status(thm)],[2978, 2977])).
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2980, 2976])).
% 0.80/0.98 tff(2982,plain,
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(2983,plain,
% 0.80/0.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s95) | (~node4(s95)))),
% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(2984,plain,
% 0.80/0.98 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s95) | (~node4(s95))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[2983, 2982])).
% 0.80/0.98 tff(2985,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2984, 595, 2946])).
% 0.80/0.98 tff(2986,plain,
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(2987,plain,
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(2988,plain,
% 0.80/0.98 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s95) | (~until5(s95)) | xuntil6(s95))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s95) | node4(s95) | (~until5(s95))))),
% 0.80/0.98 inference(monotonicity,[status(thm)],[2987])).
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% 0.80/0.98 inference(transitivity,[status(thm)],[2988, 2986])).
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% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(2991,plain,
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% 0.80/0.98 inference(modus_ponens,[status(thm)],[2990, 2989])).
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2991, 614, 2985])).
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2992, 2981])).
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(2995,plain,
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% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(2996,plain,
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% 0.80/0.98 inference(modus_ponens,[status(thm)],[2995, 2994])).
% 0.80/0.98 tff(2997,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2996, 482, 632])).
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2997, 2993, 2945])).
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% 0.80/0.98 tff(3000,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2999, 455, 2896])).
% 0.80/0.98 tff(3001,assumption,(~xuntil6(s99)), introduced(assumption)).
% 0.80/0.98 tff(3002,assumption,(node4(s99)), introduced(assumption)).
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
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% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
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% 0.80/0.98 inference(modus_ponens,[status(thm)],[3004, 3003])).
% 0.80/0.98 tff(3006,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[3005, 595, 440, 3002])).
% 0.80/0.98 tff(3007,plain,((~node4(s99)) | always3(s99)), inference(lemma,lemma(discharge,[]))).
% 0.80/0.98 tff(3008,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[3007, 440])).
% 0.80/0.98 tff(3009,assumption,(~node4(s99)), introduced(assumption)).
% 0.80/0.98 tff(3010,assumption,(until5(s99)), introduced(assumption)).
% 0.80/0.98 tff(3011,plain,
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3012,plain,
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3013,plain,
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% 0.80/0.98 inference(monotonicity,[status(thm)],[3012])).
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% 0.80/0.98 inference(transitivity,[status(thm)],[3013, 3011])).
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% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(3016,plain,
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% 0.80/0.98 inference(modus_ponens,[status(thm)],[3015, 3014])).
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[3016, 614, 3010, 3001, 3009])).
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% 0.80/0.98 tff(3019,plain,
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[3018, 3008, 3001])).
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3021,plain,
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% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(3022,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s98, s99)) | (~xuntil6(s98)) | until5(s99)),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3021, 3020])).
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[3022, 443, 632])).
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[3025, 2895, 440])).
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[2905, 595, 455])).
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% 0.80/0.98 tff(3029,plain,
% 0.80/0.98 (![X: $i] : ((~last(X)) | (~xuntil2p8(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 0.80/0.98 inference(quant_intro,[status(thm)],[3028])).
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% 0.80/0.98 (![X: $i] : ((~last(X)) | (~xuntil2p8(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3031,axiom,(![X: $i] : ((~last(X)) | (~xuntil2p8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty12')).
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% 0.80/0.98 inference(skolemize,[status(sab)],[3032])).
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% 0.80/0.98 inference(modus_ponens,[status(thm)],[3033, 3029])).
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% 0.80/0.98 tff(3036,axiom,(last(s99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound100')).
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% 0.80/0.98 inference(modus_ponens,[status(thm)],[3036, 3035])).
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
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% 0.80/0.98 inference(unit_resolution,[status(thm)],[3040, 3037, 3034])).
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% 0.80/0.98 (^[X: $i] : refl((node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> (node4(X) | xuntil2p8(X) | (~until2p7(X))))),
% 0.80/0.98 inference(bind,[status(th)],[])).
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% 0.80/0.98 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 0.80/0.98 inference(quant_intro,[status(thm)],[3042])).
% 0.80/0.98 tff(3044,plain,
% 0.80/0.98 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
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% 0.80/0.98 (^[X: $i] : rewrite(((node4(X) | xuntil2p8(X)) | (~until2p7(X))) <=> (node4(X) | xuntil2p8(X) | (~until2p7(X))))),
% 0.80/0.98 inference(bind,[status(th)],[])).
% 0.80/0.98 tff(3046,plain,
% 0.80/0.98 (![X: $i] : ((node4(X) | xuntil2p8(X)) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 0.80/0.98 inference(quant_intro,[status(thm)],[3045])).
% 0.80/0.98 tff(3047,axiom,(![X: $i] : ((node4(X) | xuntil2p8(X)) | (~until2p7(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty10')).
% 0.80/0.98 tff(3048,plain,
% 0.80/0.98 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3047, 3046])).
% 0.80/0.98 tff(3049,plain,
% 0.80/0.98 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3048, 3044])).
% 0.80/0.98 tff(3050,plain,(
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% 0.80/0.98 inference(skolemize,[status(sab)],[3049])).
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% 0.80/0.98 inference(modus_ponens,[status(thm)],[3050, 3043])).
% 0.80/0.98 tff(3052,plain,
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% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3053,plain,
% 0.80/0.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s99) | xuntil2p8(s99) | (~until2p7(s99)))),
% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(3054,plain,
% 0.80/0.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s99) | xuntil2p8(s99) | (~until2p7(s99))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3053, 3052])).
% 0.80/0.98 tff(3055,plain,
% 0.80/0.98 (node4(s99) | (~until2p7(s99))),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3054, 3051, 3041])).
% 0.80/0.98 tff(3056,plain,
% 0.80/0.98 (~until2p7(s99)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3055, 3008])).
% 0.80/0.98 tff(3057,plain,
% 0.80/0.98 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))))),
% 0.80/0.98 inference(bind,[status(th)],[])).
% 0.80/0.98 tff(3058,plain,
% 0.80/0.98 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 0.80/0.98 inference(quant_intro,[status(thm)],[3057])).
% 0.80/0.98 tff(3059,plain,
% 0.80/0.98 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3060,plain,
% 0.80/0.98 (^[Y: $i, X: $i] : rewrite(((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X))) <=> ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))))),
% 0.80/0.98 inference(bind,[status(th)],[])).
% 0.80/0.98 tff(3061,plain,
% 0.80/0.98 (![Y: $i, X: $i] : ((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 0.80/0.98 inference(quant_intro,[status(thm)],[3060])).
% 0.80/0.98 tff(3062,axiom,(![Y: $i, X: $i] : ((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty11')).
% 0.80/0.98 tff(3063,plain,
% 0.80/0.98 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3062, 3061])).
% 0.80/0.98 tff(3064,plain,
% 0.80/0.98 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3063, 3059])).
% 0.80/0.98 tff(3065,plain,(
% 0.80/0.98 ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 0.80/0.98 inference(skolemize,[status(sab)],[3064])).
% 0.80/0.98 tff(3066,plain,
% 0.80/0.98 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3065, 3058])).
% 0.80/0.98 tff(3067,plain,
% 0.80/0.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s98, s99)) | until2p7(s99) | (~xuntil2p8(s98)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s98, s99)) | until2p7(s99) | (~xuntil2p8(s98)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3068,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s98, s99)) | until2p7(s99) | (~xuntil2p8(s98)))),
% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(3069,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s98, s99)) | until2p7(s99) | (~xuntil2p8(s98))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3068, 3067])).
% 0.80/0.98 tff(3070,plain,
% 0.80/0.98 (until2p7(s99) | (~xuntil2p8(s98))),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3069, 443, 3066])).
% 0.80/0.98 tff(3071,plain,
% 0.80/0.98 (~xuntil2p8(s98)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3070, 3056])).
% 0.80/0.98 tff(3072,plain,
% 0.80/0.98 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s98) | xuntil2p8(s98) | (~until2p7(s98)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s98) | xuntil2p8(s98) | (~until2p7(s98)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3073,plain,
% 0.80/0.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s98) | xuntil2p8(s98) | (~until2p7(s98)))),
% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(3074,plain,
% 0.80/0.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s98) | xuntil2p8(s98) | (~until2p7(s98))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3073, 3072])).
% 0.80/0.98 tff(3075,plain,
% 0.80/0.98 (~until2p7(s98)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3074, 3051, 3071, 3027])).
% 0.80/0.98 tff(3076,plain,
% 0.80/0.98 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)))),
% 0.80/0.98 inference(bind,[status(th)],[])).
% 0.80/0.98 tff(3077,plain,
% 0.80/0.98 (![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))),
% 0.80/0.98 inference(quant_intro,[status(thm)],[3076])).
% 0.80/0.98 tff(3078,plain,
% 0.80/0.98 (![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))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3079,plain,
% 0.80/0.98 (^[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))))),
% 0.80/0.98 inference(bind,[status(th)],[])).
% 0.80/0.98 tff(3080,plain,
% 0.80/0.98 (![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))),
% 0.80/0.98 inference(quant_intro,[status(thm)],[3079])).
% 0.80/0.98 tff(3081,axiom,(![Y: $i, X: $i] : (((until2p7(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil6(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty9')).
% 0.80/0.98 tff(3082,plain,
% 0.80/0.98 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3081, 3080])).
% 0.80/0.98 tff(3083,plain,
% 0.80/0.98 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3082, 3078])).
% 0.80/0.98 tff(3084,plain,(
% 0.80/0.98 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 0.80/0.98 inference(skolemize,[status(sab)],[3083])).
% 0.80/0.98 tff(3085,plain,
% 0.80/0.98 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3084, 3077])).
% 0.80/0.98 tff(3086,plain,
% 0.80/0.98 (~node4(s97)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[2901, 595, 467])).
% 0.80/0.98 tff(3087,plain,
% 0.80/0.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s97, s98)) | until2p7(s98) | (~xuntil2p8(s97)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s97, s98)) | until2p7(s98) | (~xuntil2p8(s97)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3088,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s97, s98)) | until2p7(s98) | (~xuntil2p8(s97)))),
% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(3089,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s97, s98)) | until2p7(s98) | (~xuntil2p8(s97))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3088, 3087])).
% 0.80/0.98 tff(3090,plain,
% 0.80/0.98 (until2p7(s98) | (~xuntil2p8(s97))),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3089, 458, 3066])).
% 0.80/0.98 tff(3091,plain,
% 0.80/0.98 (~xuntil2p8(s97)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3090, 3075])).
% 0.80/0.98 tff(3092,plain,
% 0.80/0.98 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s97) | xuntil2p8(s97) | (~until2p7(s97)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s97) | xuntil2p8(s97) | (~until2p7(s97)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3093,plain,
% 0.80/0.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s97) | xuntil2p8(s97) | (~until2p7(s97)))),
% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(3094,plain,
% 0.80/0.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s97) | xuntil2p8(s97) | (~until2p7(s97))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3093, 3092])).
% 0.80/0.98 tff(3095,plain,
% 0.80/0.98 (~until2p7(s97)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3094, 3051, 3091, 3086])).
% 0.80/0.98 tff(3096,plain,
% 0.80/0.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s96, s97)) | until2p7(s97) | (~xuntil2p8(s96)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s96, s97)) | until2p7(s97) | (~xuntil2p8(s96)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3097,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s96, s97)) | until2p7(s97) | (~xuntil2p8(s96)))),
% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(3098,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s96, s97)) | until2p7(s97) | (~xuntil2p8(s96))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3097, 3096])).
% 0.80/0.98 tff(3099,plain,
% 0.80/0.98 (until2p7(s97) | (~xuntil2p8(s96))),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3098, 470, 3066])).
% 0.80/0.98 tff(3100,plain,
% 0.80/0.98 (~xuntil2p8(s96)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3099, 3095])).
% 0.80/0.98 tff(3101,plain,
% 0.80/0.98 (~node4(s96)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[2936, 595, 479])).
% 0.80/0.98 tff(3102,plain,
% 0.80/0.98 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s96) | xuntil2p8(s96) | (~until2p7(s96)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s96) | xuntil2p8(s96) | (~until2p7(s96)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3103,plain,
% 0.80/0.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s96) | xuntil2p8(s96) | (~until2p7(s96)))),
% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(3104,plain,
% 0.80/0.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s96) | xuntil2p8(s96) | (~until2p7(s96))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3103, 3102])).
% 0.80/0.98 tff(3105,plain,
% 0.80/0.98 (xuntil2p8(s96) | (~until2p7(s96))),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3104, 3051, 3101])).
% 0.80/0.98 tff(3106,plain,
% 0.80/0.98 (~until2p7(s96)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3105, 3100])).
% 0.80/0.98 tff(3107,plain,
% 0.80/0.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s95, s96)) | until2p7(s96) | (~xuntil2p8(s95)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s95, s96)) | until2p7(s96) | (~xuntil2p8(s95)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3108,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s95, s96)) | until2p7(s96) | (~xuntil2p8(s95)))),
% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(3109,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s95, s96)) | until2p7(s96) | (~xuntil2p8(s95))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3108, 3107])).
% 0.80/0.98 tff(3110,plain,
% 0.80/0.98 (until2p7(s96) | (~xuntil2p8(s95))),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3109, 482, 3066])).
% 0.80/0.98 tff(3111,plain,
% 0.80/0.98 (~xuntil2p8(s95)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3110, 3106])).
% 0.80/0.98 tff(3112,plain,
% 0.80/0.98 (~node4(s95)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[2984, 595, 491])).
% 0.80/0.98 tff(3113,plain,
% 0.80/0.98 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s95) | xuntil2p8(s95) | (~until2p7(s95)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s95) | xuntil2p8(s95) | (~until2p7(s95)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3114,plain,
% 0.80/0.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s95) | xuntil2p8(s95) | (~until2p7(s95)))),
% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(3115,plain,
% 0.80/0.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s95) | xuntil2p8(s95) | (~until2p7(s95))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3114, 3113])).
% 0.80/0.98 tff(3116,plain,
% 0.80/0.98 (xuntil2p8(s95) | (~until2p7(s95))),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3115, 3051, 3112])).
% 0.80/0.98 tff(3117,plain,
% 0.80/0.98 (~until2p7(s95)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3116, 3111])).
% 0.80/0.98 tff(3118,plain,
% 0.80/0.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s94, s95)) | until2p7(s95) | (~xuntil2p8(s94)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s94, s95)) | until2p7(s95) | (~xuntil2p8(s94)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3119,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s94, s95)) | until2p7(s95) | (~xuntil2p8(s94)))),
% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(3120,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s94, s95)) | until2p7(s95) | (~xuntil2p8(s94))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3119, 3118])).
% 0.80/0.98 tff(3121,plain,
% 0.80/0.98 (until2p7(s95) | (~xuntil2p8(s94))),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3120, 494, 3066])).
% 0.80/0.98 tff(3122,plain,
% 0.80/0.98 (~xuntil2p8(s94)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3121, 3117])).
% 0.80/0.98 tff(3123,plain,
% 0.80/0.98 (~node4(s94)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[2950, 595, 503])).
% 0.80/0.98 tff(3124,plain,
% 0.80/0.98 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s94) | xuntil2p8(s94) | (~until2p7(s94)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s94) | xuntil2p8(s94) | (~until2p7(s94)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3125,plain,
% 0.80/0.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s94) | xuntil2p8(s94) | (~until2p7(s94)))),
% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(3126,plain,
% 0.80/0.98 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s94) | xuntil2p8(s94) | (~until2p7(s94))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3125, 3124])).
% 0.80/0.98 tff(3127,plain,
% 0.80/0.98 (xuntil2p8(s94) | (~until2p7(s94))),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3126, 3051, 3123])).
% 0.80/0.98 tff(3128,plain,
% 0.80/0.98 (~until2p7(s94)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3127, 3122])).
% 0.80/0.98 tff(3129,plain,
% 0.80/0.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s93, s94)) | until2p7(s94) | (~xuntil2p8(s93)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s93, s94)) | until2p7(s94) | (~xuntil2p8(s93)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3130,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s93, s94)) | until2p7(s94) | (~xuntil2p8(s93)))),
% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(3131,plain,
% 0.80/0.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s93, s94)) | until2p7(s94) | (~xuntil2p8(s93))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3130, 3129])).
% 0.80/0.98 tff(3132,plain,
% 0.80/0.98 (until2p7(s94) | (~xuntil2p8(s93))),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3131, 506, 3066])).
% 0.80/0.98 tff(3133,plain,
% 0.80/0.98 (~xuntil2p8(s93)),
% 0.80/0.98 inference(unit_resolution,[status(thm)],[3132, 3128])).
% 0.80/0.98 tff(3134,assumption,(node4(s93)), introduced(assumption)).
% 0.80/0.98 tff(3135,plain,
% 0.80/0.98 (^[X: $i] : refl((m_main_v_request(X) | (~node4(X))) <=> (m_main_v_request(X) | (~node4(X))))),
% 0.80/0.98 inference(bind,[status(th)],[])).
% 0.80/0.98 tff(3136,plain,
% 0.80/0.98 (![X: $i] : (m_main_v_request(X) | (~node4(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 0.80/0.98 inference(quant_intro,[status(thm)],[3135])).
% 0.80/0.98 tff(3137,plain,
% 0.80/0.98 (![X: $i] : (m_main_v_request(X) | (~node4(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3138,axiom,(![X: $i] : (m_main_v_request(X) | (~node4(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty4')).
% 0.80/0.98 tff(3139,plain,
% 0.80/0.98 (![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3138, 3137])).
% 0.80/0.98 tff(3140,plain,(
% 0.80/0.98 ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 0.80/0.98 inference(skolemize,[status(sab)],[3139])).
% 0.80/0.98 tff(3141,plain,
% 0.80/0.98 (![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3140, 3136])).
% 0.80/0.98 tff(3142,plain,
% 0.80/0.98 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s93) | (~node4(s93)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s93) | (~node4(s93)))),
% 0.80/0.98 inference(rewrite,[status(thm)],[])).
% 0.80/0.98 tff(3143,plain,
% 0.80/0.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s93) | (~node4(s93)))),
% 0.80/0.98 inference(quant_inst,[status(thm)],[])).
% 0.80/0.98 tff(3144,plain,
% 0.80/0.98 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s93) | (~node4(s93))),
% 0.80/0.98 inference(modus_ponens,[status(thm)],[3143, 3142])).
% 0.80/0.99 tff(3145,plain,
% 0.80/0.99 (m_main_v_request(s93)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3144, 3141, 3134])).
% 0.80/0.99 tff(3146,plain,
% 0.80/0.99 (always3(s93)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[2955, 595, 3134])).
% 0.80/0.99 tff(3147,plain,
% 0.80/0.99 (always3(s94)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[514, 3146])).
% 0.80/0.99 tff(3148,plain,
% 0.80/0.99 (^[X: $i] : refl(((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ((~m_main_v_state(X, c_busy)) | (~always3(X))))),
% 0.80/0.99 inference(bind,[status(th)],[])).
% 0.80/0.99 tff(3149,plain,
% 0.80/0.99 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 0.80/0.99 inference(quant_intro,[status(thm)],[3148])).
% 0.80/0.99 tff(3150,plain,
% 0.80/0.99 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3151,axiom,(![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty1')).
% 0.80/0.99 tff(3152,plain,
% 0.80/0.99 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3151, 3150])).
% 0.80/0.99 tff(3153,plain,(
% 0.80/0.99 ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 0.80/0.99 inference(skolemize,[status(sab)],[3152])).
% 0.80/0.99 tff(3154,plain,
% 0.80/0.99 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3153, 3149])).
% 0.80/0.99 tff(3155,plain,
% 0.80/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s94)) | (~m_main_v_state(s94, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s94)) | (~m_main_v_state(s94, c_busy)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3156,plain,
% 0.80/0.99 (((~m_main_v_state(s94, c_busy)) | (~always3(s94))) <=> ((~always3(s94)) | (~m_main_v_state(s94, c_busy)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3157,plain,
% 0.80/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s94, c_busy)) | (~always3(s94)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s94)) | (~m_main_v_state(s94, c_busy))))),
% 0.80/0.99 inference(monotonicity,[status(thm)],[3156])).
% 0.80/0.99 tff(3158,plain,
% 0.80/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s94, c_busy)) | (~always3(s94)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s94)) | (~m_main_v_state(s94, c_busy)))),
% 0.80/0.99 inference(transitivity,[status(thm)],[3157, 3155])).
% 0.80/0.99 tff(3159,plain,
% 0.80/0.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s94, c_busy)) | (~always3(s94)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3160,plain,
% 0.80/0.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s94)) | (~m_main_v_state(s94, c_busy))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3159, 3158])).
% 0.80/0.99 tff(3161,plain,
% 0.80/0.99 (~m_main_v_state(s94, c_busy)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3160, 3154, 3147])).
% 0.80/0.99 tff(3162,plain,
% 0.80/0.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s93, s94)) | node2(s93, s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s93, s94)) | node2(s93, s94))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3163,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s93, s94)) | node2(s93, s94))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3164,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s93, s94)) | node2(s93, s94)),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3163, 3162])).
% 0.80/0.99 tff(3165,plain,
% 0.80/0.99 (node2(s93, s94)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3164, 7, 510])).
% 0.80/0.99 tff(3166,plain,
% 0.80/0.99 (^[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))))),
% 0.80/0.99 inference(bind,[status(th)],[])).
% 0.80/0.99 tff(3167,plain,
% 0.80/0.99 (![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))) <=> ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 0.80/0.99 inference(quant_intro,[status(thm)],[3166])).
% 0.80/0.99 tff(3168,plain,
% 0.80/0.99 (![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))) <=> ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3169,plain,
% 0.80/0.99 (^[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)))))),
% 0.80/0.99 inference(bind,[status(th)],[])).
% 0.80/0.99 tff(3170,plain,
% 0.80/0.99 (![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)))),
% 0.80/0.99 inference(quant_intro,[status(thm)],[3169])).
% 0.80/0.99 tff(3171,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/sandbox/benchmark/theBenchmark.p','m_main_6')).
% 0.80/0.99 tff(3172,plain,
% 0.80/0.99 (![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)))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3171, 3170])).
% 0.80/0.99 tff(3173,plain,
% 0.80/0.99 (![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)))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3172, 3168])).
% 0.80/0.99 tff(3174,plain,(
% 0.80/0.99 ![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)))),
% 0.80/0.99 inference(skolemize,[status(sab)],[3173])).
% 0.80/0.99 tff(3175,plain,
% 0.80/0.99 (![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)))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3174, 3167])).
% 0.80/0.99 tff(3176,plain,
% 0.80/0.99 (((~![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(s93, c_ready)) | (~node2(s93, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s93)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s93, c_ready)) | (~node2(s93, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s93)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3177,plain,
% 0.80/0.99 ((~![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(s93, c_ready)) | (~node2(s93, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s93)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3178,plain,
% 0.80/0.99 ((~![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(s93, c_ready)) | (~node2(s93, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s93))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3177, 3176])).
% 0.80/0.99 tff(3179,plain,
% 0.80/0.99 ((~m_main_v_state(s93, c_ready)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s93))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3178, 3175, 3165])).
% 0.80/0.99 tff(3180,plain,
% 0.80/0.99 (~m_main_v_state(s93, c_ready)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3179, 3161, 3145])).
% 0.80/0.99 tff(3181,plain,
% 0.80/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s93)) | (~m_main_v_state(s93, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s93)) | (~m_main_v_state(s93, c_busy)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3182,plain,
% 0.80/0.99 (((~m_main_v_state(s93, c_busy)) | (~always3(s93))) <=> ((~always3(s93)) | (~m_main_v_state(s93, c_busy)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3183,plain,
% 0.80/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s93, c_busy)) | (~always3(s93)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s93)) | (~m_main_v_state(s93, c_busy))))),
% 0.80/0.99 inference(monotonicity,[status(thm)],[3182])).
% 0.80/0.99 tff(3184,plain,
% 0.80/0.99 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s93, c_busy)) | (~always3(s93)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s93)) | (~m_main_v_state(s93, c_busy)))),
% 0.80/0.99 inference(transitivity,[status(thm)],[3183, 3181])).
% 0.80/0.99 tff(3185,plain,
% 0.80/0.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s93, c_busy)) | (~always3(s93)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3186,plain,
% 0.80/0.99 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s93)) | (~m_main_v_state(s93, c_busy))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3185, 3184])).
% 0.80/0.99 tff(3187,plain,
% 0.80/0.99 (~m_main_v_state(s93, c_busy)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3186, 3154, 3146])).
% 0.80/0.99 tff(3188,plain,
% 0.80/0.99 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s93, c_busy) | m_main_v_state(s93, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s93, c_busy) | m_main_v_state(s93, c_ready))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3189,plain,
% 0.80/0.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s93, c_busy) | m_main_v_state(s93, c_ready))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3190,plain,
% 0.80/0.99 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s93, c_busy) | m_main_v_state(s93, c_ready)),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3189, 3188])).
% 0.80/0.99 tff(3191,plain,
% 0.80/0.99 ($false),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3190, 19, 3187, 3180])).
% 0.80/0.99 tff(3192,plain,(~node4(s93)), inference(lemma,lemma(discharge,[]))).
% 0.80/0.99 tff(3193,plain,
% 0.80/0.99 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s93) | xuntil2p8(s93) | (~until2p7(s93)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s93) | xuntil2p8(s93) | (~until2p7(s93)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3194,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s93) | xuntil2p8(s93) | (~until2p7(s93)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3195,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s93) | xuntil2p8(s93) | (~until2p7(s93))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3194, 3193])).
% 0.80/0.99 tff(3196,plain,
% 0.80/0.99 (xuntil2p8(s93) | (~until2p7(s93))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3195, 3051, 3192])).
% 0.80/0.99 tff(3197,plain,
% 0.80/0.99 (~until2p7(s93)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3196, 3133])).
% 0.80/0.99 tff(3198,plain,
% 0.80/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s92, s93)) | until2p7(s93) | (~xuntil2p8(s92)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s92, s93)) | until2p7(s93) | (~xuntil2p8(s92)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3199,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s92, s93)) | until2p7(s93) | (~xuntil2p8(s92)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3200,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s92, s93)) | until2p7(s93) | (~xuntil2p8(s92))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3199, 3198])).
% 0.80/0.99 tff(3201,plain,
% 0.80/0.99 (until2p7(s93) | (~xuntil2p8(s92))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3200, 518, 3066])).
% 0.80/0.99 tff(3202,plain,
% 0.80/0.99 (~xuntil2p8(s92)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3201, 3197])).
% 0.80/0.99 tff(3203,plain,
% 0.80/0.99 (~node4(s92)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[602, 595, 527])).
% 0.80/0.99 tff(3204,plain,
% 0.80/0.99 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s92) | xuntil2p8(s92) | (~until2p7(s92)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s92) | xuntil2p8(s92) | (~until2p7(s92)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3205,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s92) | xuntil2p8(s92) | (~until2p7(s92)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3206,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s92) | xuntil2p8(s92) | (~until2p7(s92))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3205, 3204])).
% 0.80/0.99 tff(3207,plain,
% 0.80/0.99 (xuntil2p8(s92) | (~until2p7(s92))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3206, 3051, 3203])).
% 0.80/0.99 tff(3208,plain,
% 0.80/0.99 (~until2p7(s92)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3207, 3202])).
% 0.80/0.99 tff(3209,plain,
% 0.80/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s91, s92)) | until2p7(s92) | (~xuntil2p8(s91)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s91, s92)) | until2p7(s92) | (~xuntil2p8(s91)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3210,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s91, s92)) | until2p7(s92) | (~xuntil2p8(s91)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3211,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s91, s92)) | until2p7(s92) | (~xuntil2p8(s91))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3210, 3209])).
% 0.80/0.99 tff(3212,plain,
% 0.80/0.99 (until2p7(s92) | (~xuntil2p8(s91))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3211, 531, 3066])).
% 0.80/0.99 tff(3213,plain,
% 0.80/0.99 (~xuntil2p8(s91)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3212, 3208])).
% 0.80/0.99 tff(3214,plain,
% 0.80/0.99 (~always3(s91)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[539, 527])).
% 0.80/0.99 tff(3215,plain,
% 0.80/0.99 (~node4(s91)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[598, 595, 3214])).
% 0.80/0.99 tff(3216,plain,
% 0.80/0.99 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s91) | xuntil2p8(s91) | (~until2p7(s91)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s91) | xuntil2p8(s91) | (~until2p7(s91)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3217,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s91) | xuntil2p8(s91) | (~until2p7(s91)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3218,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s91) | xuntil2p8(s91) | (~until2p7(s91))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3217, 3216])).
% 0.80/0.99 tff(3219,plain,
% 0.80/0.99 (xuntil2p8(s91) | (~until2p7(s91))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3218, 3051, 3215])).
% 0.80/0.99 tff(3220,plain,
% 0.80/0.99 (~until2p7(s91)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3219, 3213])).
% 0.80/0.99 tff(3221,plain,
% 0.80/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s90, s91)) | until2p7(s91) | (~xuntil2p8(s90)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s90, s91)) | until2p7(s91) | (~xuntil2p8(s90)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3222,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s90, s91)) | until2p7(s91) | (~xuntil2p8(s90)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3223,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s90, s91)) | until2p7(s91) | (~xuntil2p8(s90))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3222, 3221])).
% 0.80/0.99 tff(3224,plain,
% 0.80/0.99 (until2p7(s91) | (~xuntil2p8(s90))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3223, 543, 3066])).
% 0.80/0.99 tff(3225,plain,
% 0.80/0.99 (~xuntil2p8(s90)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3224, 3220])).
% 0.80/0.99 tff(3226,plain,
% 0.80/0.99 (~always3(s90)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[551, 3214])).
% 0.80/0.99 tff(3227,plain,
% 0.80/0.99 (~node4(s90)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[653, 595, 3226])).
% 0.80/0.99 tff(3228,plain,
% 0.80/0.99 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s90) | xuntil2p8(s90) | (~until2p7(s90)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s90) | xuntil2p8(s90) | (~until2p7(s90)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3229,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s90) | xuntil2p8(s90) | (~until2p7(s90)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3230,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s90) | xuntil2p8(s90) | (~until2p7(s90))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3229, 3228])).
% 0.80/0.99 tff(3231,plain,
% 0.80/0.99 (xuntil2p8(s90) | (~until2p7(s90))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3230, 3051, 3227])).
% 0.80/0.99 tff(3232,plain,
% 0.80/0.99 (~until2p7(s90)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3231, 3225])).
% 0.80/0.99 tff(3233,plain,
% 0.80/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s89, s90)) | until2p7(s90) | (~xuntil2p8(s89)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s89, s90)) | until2p7(s90) | (~xuntil2p8(s89)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3234,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s89, s90)) | until2p7(s90) | (~xuntil2p8(s89)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3235,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s89, s90)) | until2p7(s90) | (~xuntil2p8(s89))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3234, 3233])).
% 0.80/0.99 tff(3236,plain,
% 0.80/0.99 (until2p7(s90) | (~xuntil2p8(s89))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3235, 555, 3066])).
% 0.80/0.99 tff(3237,plain,
% 0.80/0.99 (~xuntil2p8(s89)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3236, 3232])).
% 0.80/0.99 tff(3238,plain,
% 0.80/0.99 (~always3(s89)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[563, 3226])).
% 0.80/0.99 tff(3239,plain,
% 0.80/0.99 (~node4(s89)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[667, 595, 3238])).
% 0.80/0.99 tff(3240,plain,
% 0.80/0.99 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s89) | xuntil2p8(s89) | (~until2p7(s89)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s89) | xuntil2p8(s89) | (~until2p7(s89)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3241,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s89) | xuntil2p8(s89) | (~until2p7(s89)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3242,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s89) | xuntil2p8(s89) | (~until2p7(s89))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3241, 3240])).
% 0.80/0.99 tff(3243,plain,
% 0.80/0.99 (xuntil2p8(s89) | (~until2p7(s89))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3242, 3051, 3239])).
% 0.80/0.99 tff(3244,plain,
% 0.80/0.99 (~until2p7(s89)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3243, 3237])).
% 0.80/0.99 tff(3245,plain,
% 0.80/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s88, s89)) | until2p7(s89) | (~xuntil2p8(s88)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s88, s89)) | until2p7(s89) | (~xuntil2p8(s88)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3246,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s88, s89)) | until2p7(s89) | (~xuntil2p8(s88)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3247,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s88, s89)) | until2p7(s89) | (~xuntil2p8(s88))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3246, 3245])).
% 0.80/0.99 tff(3248,plain,
% 0.80/0.99 (until2p7(s89) | (~xuntil2p8(s88))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3247, 567, 3066])).
% 0.80/0.99 tff(3249,plain,
% 0.80/0.99 (~xuntil2p8(s88)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3248, 3244])).
% 0.80/0.99 tff(3250,plain,
% 0.80/0.99 (~always3(s88)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[575, 3238])).
% 0.80/0.99 tff(3251,plain,
% 0.80/0.99 (~node4(s88)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[692, 595, 3250])).
% 0.80/0.99 tff(3252,plain,
% 0.80/0.99 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s88) | xuntil2p8(s88) | (~until2p7(s88)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s88) | xuntil2p8(s88) | (~until2p7(s88)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3253,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s88) | xuntil2p8(s88) | (~until2p7(s88)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3254,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s88) | xuntil2p8(s88) | (~until2p7(s88))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3253, 3252])).
% 0.80/0.99 tff(3255,plain,
% 0.80/0.99 (xuntil2p8(s88) | (~until2p7(s88))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3254, 3051, 3251])).
% 0.80/0.99 tff(3256,plain,
% 0.80/0.99 (~until2p7(s88)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3255, 3249])).
% 0.80/0.99 tff(3257,plain,
% 0.80/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s87, s88)) | until2p7(s88) | (~xuntil2p8(s87)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s87, s88)) | until2p7(s88) | (~xuntil2p8(s87)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3258,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s87, s88)) | until2p7(s88) | (~xuntil2p8(s87)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3259,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s87, s88)) | until2p7(s88) | (~xuntil2p8(s87))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3258, 3257])).
% 0.80/0.99 tff(3260,plain,
% 0.80/0.99 (until2p7(s88) | (~xuntil2p8(s87))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3259, 579, 3066])).
% 0.80/0.99 tff(3261,plain,
% 0.80/0.99 (~xuntil2p8(s87)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3260, 3256])).
% 0.80/0.99 tff(3262,plain,
% 0.80/0.99 (~always3(s87)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[587, 3250])).
% 0.80/0.99 tff(3263,plain,
% 0.80/0.99 (~node4(s87)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[710, 595, 3262])).
% 0.80/0.99 tff(3264,plain,
% 0.80/0.99 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s87) | xuntil2p8(s87) | (~until2p7(s87)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s87) | xuntil2p8(s87) | (~until2p7(s87)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3265,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s87) | xuntil2p8(s87) | (~until2p7(s87)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3266,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s87) | xuntil2p8(s87) | (~until2p7(s87))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3265, 3264])).
% 0.80/0.99 tff(3267,plain,
% 0.80/0.99 (xuntil2p8(s87) | (~until2p7(s87))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3266, 3051, 3263])).
% 0.80/0.99 tff(3268,plain,
% 0.80/0.99 (~until2p7(s87)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3267, 3261])).
% 0.80/0.99 tff(3269,plain,
% 0.80/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s86, s87)) | until2p7(s87) | (~xuntil2p8(s86)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s86, s87)) | until2p7(s87) | (~xuntil2p8(s86)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3270,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s86, s87)) | until2p7(s87) | (~xuntil2p8(s86)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3271,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s86, s87)) | until2p7(s87) | (~xuntil2p8(s86))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3270, 3269])).
% 0.80/0.99 tff(3272,plain,
% 0.80/0.99 (until2p7(s87) | (~xuntil2p8(s86))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3271, 723, 3066])).
% 0.80/0.99 tff(3273,plain,
% 0.80/0.99 (~xuntil2p8(s86)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3272, 3268])).
% 0.80/0.99 tff(3274,plain,
% 0.80/0.99 (~always3(s86)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[731, 3262])).
% 0.80/0.99 tff(3275,plain,
% 0.80/0.99 (~node4(s86)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[735, 595, 3274])).
% 0.80/0.99 tff(3276,plain,
% 0.80/0.99 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s86) | xuntil2p8(s86) | (~until2p7(s86)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s86) | xuntil2p8(s86) | (~until2p7(s86)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3277,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s86) | xuntil2p8(s86) | (~until2p7(s86)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3278,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s86) | xuntil2p8(s86) | (~until2p7(s86))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3277, 3276])).
% 0.80/0.99 tff(3279,plain,
% 0.80/0.99 (xuntil2p8(s86) | (~until2p7(s86))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3278, 3051, 3275])).
% 0.80/0.99 tff(3280,plain,
% 0.80/0.99 (~until2p7(s86)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3279, 3273])).
% 0.80/0.99 tff(3281,plain,
% 0.80/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s85, s86)) | until2p7(s86) | (~xuntil2p8(s85)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s85, s86)) | until2p7(s86) | (~xuntil2p8(s85)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3282,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s85, s86)) | until2p7(s86) | (~xuntil2p8(s85)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3283,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s85, s86)) | until2p7(s86) | (~xuntil2p8(s85))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3282, 3281])).
% 0.80/0.99 tff(3284,plain,
% 0.80/0.99 (until2p7(s86) | (~xuntil2p8(s85))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3283, 755, 3066])).
% 0.80/0.99 tff(3285,plain,
% 0.80/0.99 (~xuntil2p8(s85)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3284, 3280])).
% 0.80/0.99 tff(3286,plain,
% 0.80/0.99 (~always3(s85)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[769, 3274])).
% 0.80/0.99 tff(3287,plain,
% 0.80/0.99 (~node4(s85)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[773, 595, 3286])).
% 0.80/0.99 tff(3288,plain,
% 0.80/0.99 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s85) | xuntil2p8(s85) | (~until2p7(s85)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s85) | xuntil2p8(s85) | (~until2p7(s85)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3289,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s85) | xuntil2p8(s85) | (~until2p7(s85)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3290,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s85) | xuntil2p8(s85) | (~until2p7(s85))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3289, 3288])).
% 0.80/0.99 tff(3291,plain,
% 0.80/0.99 (xuntil2p8(s85) | (~until2p7(s85))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3290, 3051, 3287])).
% 0.80/0.99 tff(3292,plain,
% 0.80/0.99 (~until2p7(s85)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3291, 3285])).
% 0.80/0.99 tff(3293,plain,
% 0.80/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s84, s85)) | until2p7(s85) | (~xuntil2p8(s84)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s84, s85)) | until2p7(s85) | (~xuntil2p8(s84)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3294,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s84, s85)) | until2p7(s85) | (~xuntil2p8(s84)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3295,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s84, s85)) | until2p7(s85) | (~xuntil2p8(s84))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3294, 3293])).
% 0.80/0.99 tff(3296,plain,
% 0.80/0.99 (until2p7(s85) | (~xuntil2p8(s84))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3295, 785, 3066])).
% 0.80/0.99 tff(3297,plain,
% 0.80/0.99 (~xuntil2p8(s84)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3296, 3292])).
% 0.80/0.99 tff(3298,plain,
% 0.80/0.99 (~always3(s84)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[798, 3286])).
% 0.80/0.99 tff(3299,plain,
% 0.80/0.99 (~node4(s84)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[802, 595, 3298])).
% 0.80/0.99 tff(3300,plain,
% 0.80/0.99 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s84) | xuntil2p8(s84) | (~until2p7(s84)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s84) | xuntil2p8(s84) | (~until2p7(s84)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3301,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s84) | xuntil2p8(s84) | (~until2p7(s84)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3302,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s84) | xuntil2p8(s84) | (~until2p7(s84))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3301, 3300])).
% 0.80/0.99 tff(3303,plain,
% 0.80/0.99 (xuntil2p8(s84) | (~until2p7(s84))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3302, 3051, 3299])).
% 0.80/0.99 tff(3304,plain,
% 0.80/0.99 (~until2p7(s84)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3303, 3297])).
% 0.80/0.99 tff(3305,plain,
% 0.80/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s83, s84)) | until2p7(s84) | (~xuntil2p8(s83)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s83, s84)) | until2p7(s84) | (~xuntil2p8(s83)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3306,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s83, s84)) | until2p7(s84) | (~xuntil2p8(s83)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3307,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s83, s84)) | until2p7(s84) | (~xuntil2p8(s83))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3306, 3305])).
% 0.80/0.99 tff(3308,plain,
% 0.80/0.99 (until2p7(s84) | (~xuntil2p8(s83))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3307, 814, 3066])).
% 0.80/0.99 tff(3309,plain,
% 0.80/0.99 (~xuntil2p8(s83)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3308, 3304])).
% 0.80/0.99 tff(3310,plain,
% 0.80/0.99 (~always3(s83)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[827, 3298])).
% 0.80/0.99 tff(3311,plain,
% 0.80/0.99 (~node4(s83)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[831, 595, 3310])).
% 0.80/0.99 tff(3312,plain,
% 0.80/0.99 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s83) | xuntil2p8(s83) | (~until2p7(s83)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s83) | xuntil2p8(s83) | (~until2p7(s83)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3313,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s83) | xuntil2p8(s83) | (~until2p7(s83)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3314,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s83) | xuntil2p8(s83) | (~until2p7(s83))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3313, 3312])).
% 0.80/0.99 tff(3315,plain,
% 0.80/0.99 (xuntil2p8(s83) | (~until2p7(s83))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3314, 3051, 3311])).
% 0.80/0.99 tff(3316,plain,
% 0.80/0.99 (~until2p7(s83)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3315, 3309])).
% 0.80/0.99 tff(3317,plain,
% 0.80/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s82, s83)) | until2p7(s83) | (~xuntil2p8(s82)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s82, s83)) | until2p7(s83) | (~xuntil2p8(s82)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3318,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s82, s83)) | until2p7(s83) | (~xuntil2p8(s82)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3319,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s82, s83)) | until2p7(s83) | (~xuntil2p8(s82))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3318, 3317])).
% 0.80/0.99 tff(3320,plain,
% 0.80/0.99 (until2p7(s83) | (~xuntil2p8(s82))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3319, 843, 3066])).
% 0.80/0.99 tff(3321,plain,
% 0.80/0.99 (~xuntil2p8(s82)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3320, 3316])).
% 0.80/0.99 tff(3322,plain,
% 0.80/0.99 (~always3(s82)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[856, 3310])).
% 0.80/0.99 tff(3323,plain,
% 0.80/0.99 (~node4(s82)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[860, 595, 3322])).
% 0.80/0.99 tff(3324,plain,
% 0.80/0.99 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s82) | xuntil2p8(s82) | (~until2p7(s82)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s82) | xuntil2p8(s82) | (~until2p7(s82)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3325,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s82) | xuntil2p8(s82) | (~until2p7(s82)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3326,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s82) | xuntil2p8(s82) | (~until2p7(s82))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3325, 3324])).
% 0.80/0.99 tff(3327,plain,
% 0.80/0.99 (xuntil2p8(s82) | (~until2p7(s82))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3326, 3051, 3323])).
% 0.80/0.99 tff(3328,plain,
% 0.80/0.99 (~until2p7(s82)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3327, 3321])).
% 0.80/0.99 tff(3329,plain,
% 0.80/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s81, s82)) | until2p7(s82) | (~xuntil2p8(s81)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s81, s82)) | until2p7(s82) | (~xuntil2p8(s81)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3330,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s81, s82)) | until2p7(s82) | (~xuntil2p8(s81)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3331,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s81, s82)) | until2p7(s82) | (~xuntil2p8(s81))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3330, 3329])).
% 0.80/0.99 tff(3332,plain,
% 0.80/0.99 (until2p7(s82) | (~xuntil2p8(s81))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3331, 872, 3066])).
% 0.80/0.99 tff(3333,plain,
% 0.80/0.99 (~xuntil2p8(s81)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3332, 3328])).
% 0.80/0.99 tff(3334,plain,
% 0.80/0.99 (~always3(s81)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[885, 3322])).
% 0.80/0.99 tff(3335,plain,
% 0.80/0.99 (~node4(s81)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[889, 595, 3334])).
% 0.80/0.99 tff(3336,plain,
% 0.80/0.99 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s81) | xuntil2p8(s81) | (~until2p7(s81)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s81) | xuntil2p8(s81) | (~until2p7(s81)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3337,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s81) | xuntil2p8(s81) | (~until2p7(s81)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3338,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s81) | xuntil2p8(s81) | (~until2p7(s81))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3337, 3336])).
% 0.80/0.99 tff(3339,plain,
% 0.80/0.99 (xuntil2p8(s81) | (~until2p7(s81))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3338, 3051, 3335])).
% 0.80/0.99 tff(3340,plain,
% 0.80/0.99 (~until2p7(s81)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3339, 3333])).
% 0.80/0.99 tff(3341,plain,
% 0.80/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s80, s81)) | until2p7(s81) | (~xuntil2p8(s80)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s80, s81)) | until2p7(s81) | (~xuntil2p8(s80)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3342,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s80, s81)) | until2p7(s81) | (~xuntil2p8(s80)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3343,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s80, s81)) | until2p7(s81) | (~xuntil2p8(s80))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3342, 3341])).
% 0.80/0.99 tff(3344,plain,
% 0.80/0.99 (until2p7(s81) | (~xuntil2p8(s80))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3343, 901, 3066])).
% 0.80/0.99 tff(3345,plain,
% 0.80/0.99 (~xuntil2p8(s80)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3344, 3340])).
% 0.80/0.99 tff(3346,plain,
% 0.80/0.99 (~always3(s80)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[914, 3334])).
% 0.80/0.99 tff(3347,plain,
% 0.80/0.99 (~node4(s80)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[918, 595, 3346])).
% 0.80/0.99 tff(3348,plain,
% 0.80/0.99 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s80) | xuntil2p8(s80) | (~until2p7(s80)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s80) | xuntil2p8(s80) | (~until2p7(s80)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3349,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s80) | xuntil2p8(s80) | (~until2p7(s80)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3350,plain,
% 0.80/0.99 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s80) | xuntil2p8(s80) | (~until2p7(s80))),
% 0.80/0.99 inference(modus_ponens,[status(thm)],[3349, 3348])).
% 0.80/0.99 tff(3351,plain,
% 0.80/0.99 (xuntil2p8(s80) | (~until2p7(s80))),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3350, 3051, 3347])).
% 0.80/0.99 tff(3352,plain,
% 0.80/0.99 (~until2p7(s80)),
% 0.80/0.99 inference(unit_resolution,[status(thm)],[3351, 3345])).
% 0.80/0.99 tff(3353,plain,
% 0.80/0.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s79, s80)) | until2p7(s80) | (~xuntil2p8(s79)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s79, s80)) | until2p7(s80) | (~xuntil2p8(s79)))),
% 0.80/0.99 inference(rewrite,[status(thm)],[])).
% 0.80/0.99 tff(3354,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s79, s80)) | until2p7(s80) | (~xuntil2p8(s79)))),
% 0.80/0.99 inference(quant_inst,[status(thm)],[])).
% 0.80/0.99 tff(3355,plain,
% 0.80/0.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s79, s80)) | until2p7(s80) | (~xuntil2p8(s79))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3354, 3353])).
% 0.80/1.00 tff(3356,plain,
% 0.80/1.00 (until2p7(s80) | (~xuntil2p8(s79))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3355, 930, 3066])).
% 0.80/1.00 tff(3357,plain,
% 0.80/1.00 (~xuntil2p8(s79)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3356, 3352])).
% 0.80/1.00 tff(3358,plain,
% 0.80/1.00 (~always3(s79)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[943, 3346])).
% 0.80/1.00 tff(3359,plain,
% 0.80/1.00 (~node4(s79)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[947, 595, 3358])).
% 0.80/1.00 tff(3360,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s79) | xuntil2p8(s79) | (~until2p7(s79)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s79) | xuntil2p8(s79) | (~until2p7(s79)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3361,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s79) | xuntil2p8(s79) | (~until2p7(s79)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3362,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s79) | xuntil2p8(s79) | (~until2p7(s79))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3361, 3360])).
% 0.80/1.00 tff(3363,plain,
% 0.80/1.00 (xuntil2p8(s79) | (~until2p7(s79))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3362, 3051, 3359])).
% 0.80/1.00 tff(3364,plain,
% 0.80/1.00 (~until2p7(s79)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3363, 3357])).
% 0.80/1.00 tff(3365,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s78, s79)) | until2p7(s79) | (~xuntil2p8(s78)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s78, s79)) | until2p7(s79) | (~xuntil2p8(s78)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3366,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s78, s79)) | until2p7(s79) | (~xuntil2p8(s78)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3367,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s78, s79)) | until2p7(s79) | (~xuntil2p8(s78))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3366, 3365])).
% 0.80/1.00 tff(3368,plain,
% 0.80/1.00 (until2p7(s79) | (~xuntil2p8(s78))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3367, 959, 3066])).
% 0.80/1.00 tff(3369,plain,
% 0.80/1.00 (~xuntil2p8(s78)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3368, 3364])).
% 0.80/1.00 tff(3370,plain,
% 0.80/1.00 (~always3(s78)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[972, 3358])).
% 0.80/1.00 tff(3371,plain,
% 0.80/1.00 (~node4(s78)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[976, 595, 3370])).
% 0.80/1.00 tff(3372,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s78) | xuntil2p8(s78) | (~until2p7(s78)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s78) | xuntil2p8(s78) | (~until2p7(s78)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3373,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s78) | xuntil2p8(s78) | (~until2p7(s78)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3374,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s78) | xuntil2p8(s78) | (~until2p7(s78))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3373, 3372])).
% 0.80/1.00 tff(3375,plain,
% 0.80/1.00 (xuntil2p8(s78) | (~until2p7(s78))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3374, 3051, 3371])).
% 0.80/1.00 tff(3376,plain,
% 0.80/1.00 (~until2p7(s78)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3375, 3369])).
% 0.80/1.00 tff(3377,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s77, s78)) | until2p7(s78) | (~xuntil2p8(s77)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s77, s78)) | until2p7(s78) | (~xuntil2p8(s77)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3378,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s77, s78)) | until2p7(s78) | (~xuntil2p8(s77)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3379,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s77, s78)) | until2p7(s78) | (~xuntil2p8(s77))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3378, 3377])).
% 0.80/1.00 tff(3380,plain,
% 0.80/1.00 (until2p7(s78) | (~xuntil2p8(s77))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3379, 988, 3066])).
% 0.80/1.00 tff(3381,plain,
% 0.80/1.00 (~xuntil2p8(s77)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3380, 3376])).
% 0.80/1.00 tff(3382,plain,
% 0.80/1.00 (~always3(s77)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1001, 3370])).
% 0.80/1.00 tff(3383,plain,
% 0.80/1.00 (~node4(s77)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1005, 595, 3382])).
% 0.80/1.00 tff(3384,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s77) | xuntil2p8(s77) | (~until2p7(s77)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s77) | xuntil2p8(s77) | (~until2p7(s77)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3385,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s77) | xuntil2p8(s77) | (~until2p7(s77)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3386,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s77) | xuntil2p8(s77) | (~until2p7(s77))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3385, 3384])).
% 0.80/1.00 tff(3387,plain,
% 0.80/1.00 (xuntil2p8(s77) | (~until2p7(s77))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3386, 3051, 3383])).
% 0.80/1.00 tff(3388,plain,
% 0.80/1.00 (~until2p7(s77)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3387, 3381])).
% 0.80/1.00 tff(3389,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s76, s77)) | until2p7(s77) | (~xuntil2p8(s76)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s76, s77)) | until2p7(s77) | (~xuntil2p8(s76)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3390,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s76, s77)) | until2p7(s77) | (~xuntil2p8(s76)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3391,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s76, s77)) | until2p7(s77) | (~xuntil2p8(s76))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3390, 3389])).
% 0.80/1.00 tff(3392,plain,
% 0.80/1.00 (until2p7(s77) | (~xuntil2p8(s76))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3391, 1017, 3066])).
% 0.80/1.00 tff(3393,plain,
% 0.80/1.00 (~xuntil2p8(s76)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3392, 3388])).
% 0.80/1.00 tff(3394,plain,
% 0.80/1.00 (~always3(s76)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1030, 3382])).
% 0.80/1.00 tff(3395,plain,
% 0.80/1.00 (~node4(s76)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1034, 595, 3394])).
% 0.80/1.00 tff(3396,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s76) | xuntil2p8(s76) | (~until2p7(s76)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s76) | xuntil2p8(s76) | (~until2p7(s76)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3397,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s76) | xuntil2p8(s76) | (~until2p7(s76)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3398,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s76) | xuntil2p8(s76) | (~until2p7(s76))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3397, 3396])).
% 0.80/1.00 tff(3399,plain,
% 0.80/1.00 (xuntil2p8(s76) | (~until2p7(s76))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3398, 3051, 3395])).
% 0.80/1.00 tff(3400,plain,
% 0.80/1.00 (~until2p7(s76)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3399, 3393])).
% 0.80/1.00 tff(3401,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s75, s76)) | until2p7(s76) | (~xuntil2p8(s75)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s75, s76)) | until2p7(s76) | (~xuntil2p8(s75)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3402,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s75, s76)) | until2p7(s76) | (~xuntil2p8(s75)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3403,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s75, s76)) | until2p7(s76) | (~xuntil2p8(s75))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3402, 3401])).
% 0.80/1.00 tff(3404,plain,
% 0.80/1.00 (until2p7(s76) | (~xuntil2p8(s75))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3403, 1046, 3066])).
% 0.80/1.00 tff(3405,plain,
% 0.80/1.00 (~xuntil2p8(s75)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3404, 3400])).
% 0.80/1.00 tff(3406,plain,
% 0.80/1.00 (~always3(s75)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1059, 3394])).
% 0.80/1.00 tff(3407,plain,
% 0.80/1.00 (~node4(s75)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1063, 595, 3406])).
% 0.80/1.00 tff(3408,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s75) | xuntil2p8(s75) | (~until2p7(s75)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s75) | xuntil2p8(s75) | (~until2p7(s75)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3409,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s75) | xuntil2p8(s75) | (~until2p7(s75)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3410,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s75) | xuntil2p8(s75) | (~until2p7(s75))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3409, 3408])).
% 0.80/1.00 tff(3411,plain,
% 0.80/1.00 (xuntil2p8(s75) | (~until2p7(s75))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3410, 3051, 3407])).
% 0.80/1.00 tff(3412,plain,
% 0.80/1.00 (~until2p7(s75)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3411, 3405])).
% 0.80/1.00 tff(3413,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s74, s75)) | until2p7(s75) | (~xuntil2p8(s74)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s74, s75)) | until2p7(s75) | (~xuntil2p8(s74)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3414,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s74, s75)) | until2p7(s75) | (~xuntil2p8(s74)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3415,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s74, s75)) | until2p7(s75) | (~xuntil2p8(s74))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3414, 3413])).
% 0.80/1.00 tff(3416,plain,
% 0.80/1.00 (until2p7(s75) | (~xuntil2p8(s74))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3415, 1075, 3066])).
% 0.80/1.00 tff(3417,plain,
% 0.80/1.00 (~xuntil2p8(s74)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3416, 3412])).
% 0.80/1.00 tff(3418,plain,
% 0.80/1.00 (~always3(s74)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1088, 3406])).
% 0.80/1.00 tff(3419,plain,
% 0.80/1.00 (~node4(s74)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1092, 595, 3418])).
% 0.80/1.00 tff(3420,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s74) | xuntil2p8(s74) | (~until2p7(s74)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s74) | xuntil2p8(s74) | (~until2p7(s74)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3421,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s74) | xuntil2p8(s74) | (~until2p7(s74)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3422,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s74) | xuntil2p8(s74) | (~until2p7(s74))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3421, 3420])).
% 0.80/1.00 tff(3423,plain,
% 0.80/1.00 (xuntil2p8(s74) | (~until2p7(s74))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3422, 3051, 3419])).
% 0.80/1.00 tff(3424,plain,
% 0.80/1.00 (~until2p7(s74)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3423, 3417])).
% 0.80/1.00 tff(3425,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s73, s74)) | until2p7(s74) | (~xuntil2p8(s73)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s73, s74)) | until2p7(s74) | (~xuntil2p8(s73)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3426,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s73, s74)) | until2p7(s74) | (~xuntil2p8(s73)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3427,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s73, s74)) | until2p7(s74) | (~xuntil2p8(s73))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3426, 3425])).
% 0.80/1.00 tff(3428,plain,
% 0.80/1.00 (until2p7(s74) | (~xuntil2p8(s73))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3427, 1104, 3066])).
% 0.80/1.00 tff(3429,plain,
% 0.80/1.00 (~xuntil2p8(s73)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3428, 3424])).
% 0.80/1.00 tff(3430,plain,
% 0.80/1.00 (~always3(s73)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1117, 3418])).
% 0.80/1.00 tff(3431,plain,
% 0.80/1.00 (~node4(s73)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1121, 595, 3430])).
% 0.80/1.00 tff(3432,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s73) | xuntil2p8(s73) | (~until2p7(s73)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s73) | xuntil2p8(s73) | (~until2p7(s73)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3433,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s73) | xuntil2p8(s73) | (~until2p7(s73)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3434,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s73) | xuntil2p8(s73) | (~until2p7(s73))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3433, 3432])).
% 0.80/1.00 tff(3435,plain,
% 0.80/1.00 (xuntil2p8(s73) | (~until2p7(s73))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3434, 3051, 3431])).
% 0.80/1.00 tff(3436,plain,
% 0.80/1.00 (~until2p7(s73)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3435, 3429])).
% 0.80/1.00 tff(3437,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s72, s73)) | until2p7(s73) | (~xuntil2p8(s72)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s72, s73)) | until2p7(s73) | (~xuntil2p8(s72)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3438,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s72, s73)) | until2p7(s73) | (~xuntil2p8(s72)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3439,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s72, s73)) | until2p7(s73) | (~xuntil2p8(s72))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3438, 3437])).
% 0.80/1.00 tff(3440,plain,
% 0.80/1.00 (until2p7(s73) | (~xuntil2p8(s72))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3439, 1133, 3066])).
% 0.80/1.00 tff(3441,plain,
% 0.80/1.00 (~xuntil2p8(s72)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3440, 3436])).
% 0.80/1.00 tff(3442,plain,
% 0.80/1.00 (~always3(s72)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1146, 3430])).
% 0.80/1.00 tff(3443,plain,
% 0.80/1.00 (~node4(s72)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1150, 595, 3442])).
% 0.80/1.00 tff(3444,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s72) | xuntil2p8(s72) | (~until2p7(s72)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s72) | xuntil2p8(s72) | (~until2p7(s72)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3445,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s72) | xuntil2p8(s72) | (~until2p7(s72)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3446,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s72) | xuntil2p8(s72) | (~until2p7(s72))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3445, 3444])).
% 0.80/1.00 tff(3447,plain,
% 0.80/1.00 (xuntil2p8(s72) | (~until2p7(s72))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3446, 3051, 3443])).
% 0.80/1.00 tff(3448,plain,
% 0.80/1.00 (~until2p7(s72)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3447, 3441])).
% 0.80/1.00 tff(3449,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s71, s72)) | until2p7(s72) | (~xuntil2p8(s71)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s71, s72)) | until2p7(s72) | (~xuntil2p8(s71)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3450,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s71, s72)) | until2p7(s72) | (~xuntil2p8(s71)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3451,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s71, s72)) | until2p7(s72) | (~xuntil2p8(s71))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3450, 3449])).
% 0.80/1.00 tff(3452,plain,
% 0.80/1.00 (until2p7(s72) | (~xuntil2p8(s71))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3451, 1162, 3066])).
% 0.80/1.00 tff(3453,plain,
% 0.80/1.00 (~xuntil2p8(s71)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3452, 3448])).
% 0.80/1.00 tff(3454,plain,
% 0.80/1.00 (~always3(s71)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1175, 3442])).
% 0.80/1.00 tff(3455,plain,
% 0.80/1.00 (~node4(s71)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1179, 595, 3454])).
% 0.80/1.00 tff(3456,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s71) | xuntil2p8(s71) | (~until2p7(s71)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s71) | xuntil2p8(s71) | (~until2p7(s71)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3457,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s71) | xuntil2p8(s71) | (~until2p7(s71)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3458,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s71) | xuntil2p8(s71) | (~until2p7(s71))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3457, 3456])).
% 0.80/1.00 tff(3459,plain,
% 0.80/1.00 (xuntil2p8(s71) | (~until2p7(s71))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3458, 3051, 3455])).
% 0.80/1.00 tff(3460,plain,
% 0.80/1.00 (~until2p7(s71)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3459, 3453])).
% 0.80/1.00 tff(3461,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s70, s71)) | until2p7(s71) | (~xuntil2p8(s70)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s70, s71)) | until2p7(s71) | (~xuntil2p8(s70)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3462,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s70, s71)) | until2p7(s71) | (~xuntil2p8(s70)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3463,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s70, s71)) | until2p7(s71) | (~xuntil2p8(s70))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3462, 3461])).
% 0.80/1.00 tff(3464,plain,
% 0.80/1.00 (until2p7(s71) | (~xuntil2p8(s70))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3463, 1191, 3066])).
% 0.80/1.00 tff(3465,plain,
% 0.80/1.00 (~xuntil2p8(s70)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3464, 3460])).
% 0.80/1.00 tff(3466,plain,
% 0.80/1.00 (~always3(s70)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1204, 3454])).
% 0.80/1.00 tff(3467,plain,
% 0.80/1.00 (~node4(s70)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1208, 595, 3466])).
% 0.80/1.00 tff(3468,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s70) | xuntil2p8(s70) | (~until2p7(s70)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s70) | xuntil2p8(s70) | (~until2p7(s70)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3469,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s70) | xuntil2p8(s70) | (~until2p7(s70)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3470,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s70) | xuntil2p8(s70) | (~until2p7(s70))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3469, 3468])).
% 0.80/1.00 tff(3471,plain,
% 0.80/1.00 (xuntil2p8(s70) | (~until2p7(s70))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3470, 3051, 3467])).
% 0.80/1.00 tff(3472,plain,
% 0.80/1.00 (~until2p7(s70)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3471, 3465])).
% 0.80/1.00 tff(3473,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s69, s70)) | until2p7(s70) | (~xuntil2p8(s69)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s69, s70)) | until2p7(s70) | (~xuntil2p8(s69)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3474,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s69, s70)) | until2p7(s70) | (~xuntil2p8(s69)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3475,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s69, s70)) | until2p7(s70) | (~xuntil2p8(s69))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3474, 3473])).
% 0.80/1.00 tff(3476,plain,
% 0.80/1.00 (until2p7(s70) | (~xuntil2p8(s69))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3475, 1220, 3066])).
% 0.80/1.00 tff(3477,plain,
% 0.80/1.00 (~xuntil2p8(s69)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3476, 3472])).
% 0.80/1.00 tff(3478,plain,
% 0.80/1.00 (~always3(s69)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1233, 3466])).
% 0.80/1.00 tff(3479,plain,
% 0.80/1.00 (~node4(s69)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1237, 595, 3478])).
% 0.80/1.00 tff(3480,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s69) | xuntil2p8(s69) | (~until2p7(s69)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s69) | xuntil2p8(s69) | (~until2p7(s69)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3481,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s69) | xuntil2p8(s69) | (~until2p7(s69)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3482,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s69) | xuntil2p8(s69) | (~until2p7(s69))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3481, 3480])).
% 0.80/1.00 tff(3483,plain,
% 0.80/1.00 (xuntil2p8(s69) | (~until2p7(s69))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3482, 3051, 3479])).
% 0.80/1.00 tff(3484,plain,
% 0.80/1.00 (~until2p7(s69)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3483, 3477])).
% 0.80/1.00 tff(3485,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s68, s69)) | until2p7(s69) | (~xuntil2p8(s68)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s68, s69)) | until2p7(s69) | (~xuntil2p8(s68)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3486,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s68, s69)) | until2p7(s69) | (~xuntil2p8(s68)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3487,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s68, s69)) | until2p7(s69) | (~xuntil2p8(s68))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3486, 3485])).
% 0.80/1.00 tff(3488,plain,
% 0.80/1.00 (until2p7(s69) | (~xuntil2p8(s68))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3487, 1249, 3066])).
% 0.80/1.00 tff(3489,plain,
% 0.80/1.00 (~xuntil2p8(s68)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3488, 3484])).
% 0.80/1.00 tff(3490,plain,
% 0.80/1.00 (~always3(s68)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1262, 3478])).
% 0.80/1.00 tff(3491,plain,
% 0.80/1.00 (~node4(s68)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1266, 595, 3490])).
% 0.80/1.00 tff(3492,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s68) | xuntil2p8(s68) | (~until2p7(s68)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s68) | xuntil2p8(s68) | (~until2p7(s68)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3493,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s68) | xuntil2p8(s68) | (~until2p7(s68)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3494,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s68) | xuntil2p8(s68) | (~until2p7(s68))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3493, 3492])).
% 0.80/1.00 tff(3495,plain,
% 0.80/1.00 (xuntil2p8(s68) | (~until2p7(s68))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3494, 3051, 3491])).
% 0.80/1.00 tff(3496,plain,
% 0.80/1.00 (~until2p7(s68)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3495, 3489])).
% 0.80/1.00 tff(3497,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s67, s68)) | until2p7(s68) | (~xuntil2p8(s67)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s67, s68)) | until2p7(s68) | (~xuntil2p8(s67)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3498,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s67, s68)) | until2p7(s68) | (~xuntil2p8(s67)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3499,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s67, s68)) | until2p7(s68) | (~xuntil2p8(s67))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3498, 3497])).
% 0.80/1.00 tff(3500,plain,
% 0.80/1.00 (until2p7(s68) | (~xuntil2p8(s67))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3499, 1278, 3066])).
% 0.80/1.00 tff(3501,plain,
% 0.80/1.00 (~xuntil2p8(s67)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3500, 3496])).
% 0.80/1.00 tff(3502,plain,
% 0.80/1.00 (~always3(s67)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1291, 3490])).
% 0.80/1.00 tff(3503,plain,
% 0.80/1.00 (~node4(s67)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1295, 595, 3502])).
% 0.80/1.00 tff(3504,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s67) | xuntil2p8(s67) | (~until2p7(s67)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s67) | xuntil2p8(s67) | (~until2p7(s67)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3505,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s67) | xuntil2p8(s67) | (~until2p7(s67)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3506,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s67) | xuntil2p8(s67) | (~until2p7(s67))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3505, 3504])).
% 0.80/1.00 tff(3507,plain,
% 0.80/1.00 (xuntil2p8(s67) | (~until2p7(s67))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3506, 3051, 3503])).
% 0.80/1.00 tff(3508,plain,
% 0.80/1.00 (~until2p7(s67)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3507, 3501])).
% 0.80/1.00 tff(3509,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s66, s67)) | until2p7(s67) | (~xuntil2p8(s66)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s66, s67)) | until2p7(s67) | (~xuntil2p8(s66)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3510,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s66, s67)) | until2p7(s67) | (~xuntil2p8(s66)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3511,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s66, s67)) | until2p7(s67) | (~xuntil2p8(s66))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3510, 3509])).
% 0.80/1.00 tff(3512,plain,
% 0.80/1.00 (until2p7(s67) | (~xuntil2p8(s66))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3511, 1307, 3066])).
% 0.80/1.00 tff(3513,plain,
% 0.80/1.00 (~xuntil2p8(s66)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3512, 3508])).
% 0.80/1.00 tff(3514,plain,
% 0.80/1.00 (~always3(s66)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1320, 3502])).
% 0.80/1.00 tff(3515,plain,
% 0.80/1.00 (~node4(s66)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1324, 595, 3514])).
% 0.80/1.00 tff(3516,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s66) | xuntil2p8(s66) | (~until2p7(s66)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s66) | xuntil2p8(s66) | (~until2p7(s66)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3517,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s66) | xuntil2p8(s66) | (~until2p7(s66)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3518,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s66) | xuntil2p8(s66) | (~until2p7(s66))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3517, 3516])).
% 0.80/1.00 tff(3519,plain,
% 0.80/1.00 (xuntil2p8(s66) | (~until2p7(s66))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3518, 3051, 3515])).
% 0.80/1.00 tff(3520,plain,
% 0.80/1.00 (~until2p7(s66)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3519, 3513])).
% 0.80/1.00 tff(3521,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s65, s66)) | until2p7(s66) | (~xuntil2p8(s65)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s65, s66)) | until2p7(s66) | (~xuntil2p8(s65)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3522,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s65, s66)) | until2p7(s66) | (~xuntil2p8(s65)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3523,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s65, s66)) | until2p7(s66) | (~xuntil2p8(s65))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3522, 3521])).
% 0.80/1.00 tff(3524,plain,
% 0.80/1.00 (until2p7(s66) | (~xuntil2p8(s65))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3523, 1336, 3066])).
% 0.80/1.00 tff(3525,plain,
% 0.80/1.00 (~xuntil2p8(s65)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3524, 3520])).
% 0.80/1.00 tff(3526,plain,
% 0.80/1.00 (~always3(s65)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1349, 3514])).
% 0.80/1.00 tff(3527,plain,
% 0.80/1.00 (~node4(s65)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1353, 595, 3526])).
% 0.80/1.00 tff(3528,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s65) | xuntil2p8(s65) | (~until2p7(s65)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s65) | xuntil2p8(s65) | (~until2p7(s65)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3529,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s65) | xuntil2p8(s65) | (~until2p7(s65)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3530,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s65) | xuntil2p8(s65) | (~until2p7(s65))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3529, 3528])).
% 0.80/1.00 tff(3531,plain,
% 0.80/1.00 (xuntil2p8(s65) | (~until2p7(s65))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3530, 3051, 3527])).
% 0.80/1.00 tff(3532,plain,
% 0.80/1.00 (~until2p7(s65)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3531, 3525])).
% 0.80/1.00 tff(3533,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s64, s65)) | until2p7(s65) | (~xuntil2p8(s64)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s64, s65)) | until2p7(s65) | (~xuntil2p8(s64)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3534,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s64, s65)) | until2p7(s65) | (~xuntil2p8(s64)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3535,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s64, s65)) | until2p7(s65) | (~xuntil2p8(s64))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3534, 3533])).
% 0.80/1.00 tff(3536,plain,
% 0.80/1.00 (until2p7(s65) | (~xuntil2p8(s64))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3535, 1365, 3066])).
% 0.80/1.00 tff(3537,plain,
% 0.80/1.00 (~xuntil2p8(s64)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3536, 3532])).
% 0.80/1.00 tff(3538,plain,
% 0.80/1.00 (~always3(s64)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1378, 3526])).
% 0.80/1.00 tff(3539,plain,
% 0.80/1.00 (~node4(s64)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1382, 595, 3538])).
% 0.80/1.00 tff(3540,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s64) | xuntil2p8(s64) | (~until2p7(s64)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s64) | xuntil2p8(s64) | (~until2p7(s64)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3541,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s64) | xuntil2p8(s64) | (~until2p7(s64)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3542,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s64) | xuntil2p8(s64) | (~until2p7(s64))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3541, 3540])).
% 0.80/1.00 tff(3543,plain,
% 0.80/1.00 (xuntil2p8(s64) | (~until2p7(s64))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3542, 3051, 3539])).
% 0.80/1.00 tff(3544,plain,
% 0.80/1.00 (~until2p7(s64)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3543, 3537])).
% 0.80/1.00 tff(3545,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s63, s64)) | until2p7(s64) | (~xuntil2p8(s63)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s63, s64)) | until2p7(s64) | (~xuntil2p8(s63)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3546,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s63, s64)) | until2p7(s64) | (~xuntil2p8(s63)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3547,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s63, s64)) | until2p7(s64) | (~xuntil2p8(s63))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3546, 3545])).
% 0.80/1.00 tff(3548,plain,
% 0.80/1.00 (until2p7(s64) | (~xuntil2p8(s63))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3547, 1394, 3066])).
% 0.80/1.00 tff(3549,plain,
% 0.80/1.00 (~xuntil2p8(s63)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3548, 3544])).
% 0.80/1.00 tff(3550,plain,
% 0.80/1.00 (~always3(s63)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1407, 3538])).
% 0.80/1.00 tff(3551,plain,
% 0.80/1.00 (~node4(s63)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1411, 595, 3550])).
% 0.80/1.00 tff(3552,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s63) | xuntil2p8(s63) | (~until2p7(s63)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s63) | xuntil2p8(s63) | (~until2p7(s63)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3553,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s63) | xuntil2p8(s63) | (~until2p7(s63)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3554,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s63) | xuntil2p8(s63) | (~until2p7(s63))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3553, 3552])).
% 0.80/1.00 tff(3555,plain,
% 0.80/1.00 (xuntil2p8(s63) | (~until2p7(s63))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3554, 3051, 3551])).
% 0.80/1.00 tff(3556,plain,
% 0.80/1.00 (~until2p7(s63)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3555, 3549])).
% 0.80/1.00 tff(3557,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s62, s63)) | until2p7(s63) | (~xuntil2p8(s62)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s62, s63)) | until2p7(s63) | (~xuntil2p8(s62)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3558,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s62, s63)) | until2p7(s63) | (~xuntil2p8(s62)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3559,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s62, s63)) | until2p7(s63) | (~xuntil2p8(s62))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3558, 3557])).
% 0.80/1.00 tff(3560,plain,
% 0.80/1.00 (until2p7(s63) | (~xuntil2p8(s62))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3559, 1423, 3066])).
% 0.80/1.00 tff(3561,plain,
% 0.80/1.00 (~xuntil2p8(s62)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3560, 3556])).
% 0.80/1.00 tff(3562,plain,
% 0.80/1.00 (~always3(s62)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1431, 3550])).
% 0.80/1.00 tff(3563,plain,
% 0.80/1.00 (~node4(s62)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[2874, 595, 3562])).
% 0.80/1.00 tff(3564,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s62) | xuntil2p8(s62) | (~until2p7(s62)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s62) | xuntil2p8(s62) | (~until2p7(s62)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3565,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s62) | xuntil2p8(s62) | (~until2p7(s62)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3566,plain,
% 0.80/1.00 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s62) | xuntil2p8(s62) | (~until2p7(s62))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3565, 3564])).
% 0.80/1.00 tff(3567,plain,
% 0.80/1.00 (xuntil2p8(s62) | (~until2p7(s62))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3566, 3051, 3563])).
% 0.80/1.00 tff(3568,plain,
% 0.80/1.00 (~until2p7(s62)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3567, 3561])).
% 0.80/1.00 tff(3569,plain,
% 0.80/1.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s61, s62)) | until2p7(s62) | (~xuntil2p8(s61)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s61, s62)) | until2p7(s62) | (~xuntil2p8(s61)))),
% 0.80/1.00 inference(rewrite,[status(thm)],[])).
% 0.80/1.00 tff(3570,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s61, s62)) | until2p7(s62) | (~xuntil2p8(s61)))),
% 0.80/1.00 inference(quant_inst,[status(thm)],[])).
% 0.80/1.00 tff(3571,plain,
% 0.80/1.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s61, s62)) | until2p7(s62) | (~xuntil2p8(s61))),
% 0.80/1.00 inference(modus_ponens,[status(thm)],[3570, 3569])).
% 0.80/1.00 tff(3572,plain,
% 0.80/1.00 (until2p7(s62) | (~xuntil2p8(s61))),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3571, 1435, 3066])).
% 0.80/1.00 tff(3573,plain,
% 0.80/1.00 (~xuntil2p8(s61)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[3572, 3568])).
% 0.80/1.00 tff(3574,plain,
% 0.80/1.00 (~always3(s61)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[1443, 3562])).
% 0.80/1.00 tff(3575,plain,
% 0.80/1.00 (~node4(s61)),
% 0.80/1.00 inference(unit_resolution,[status(thm)],[2857, 595, 3574])).
% 0.80/1.00 tff(3576,plain,
% 0.80/1.00 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s61) | xuntil2p8(s61) | (~until2p7(s61)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s61) | xuntil2p8(s61) | (~until2p7(s61)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3577,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s61) | xuntil2p8(s61) | (~until2p7(s61)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3578,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s61) | xuntil2p8(s61) | (~until2p7(s61))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3577, 3576])).
% 0.80/1.01 tff(3579,plain,
% 0.80/1.01 (xuntil2p8(s61) | (~until2p7(s61))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3578, 3051, 3575])).
% 0.80/1.01 tff(3580,plain,
% 0.80/1.01 (~until2p7(s61)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3579, 3573])).
% 0.80/1.01 tff(3581,plain,
% 0.80/1.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s60, s61)) | until2p7(s61) | (~xuntil2p8(s60)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s60, s61)) | until2p7(s61) | (~xuntil2p8(s60)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3582,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s60, s61)) | until2p7(s61) | (~xuntil2p8(s60)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3583,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s60, s61)) | until2p7(s61) | (~xuntil2p8(s60))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3582, 3581])).
% 0.80/1.01 tff(3584,plain,
% 0.80/1.01 (until2p7(s61) | (~xuntil2p8(s60))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3583, 1447, 3066])).
% 0.80/1.01 tff(3585,plain,
% 0.80/1.01 (~xuntil2p8(s60)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3584, 3580])).
% 0.80/1.01 tff(3586,plain,
% 0.80/1.01 (~always3(s60)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[1455, 3574])).
% 0.80/1.01 tff(3587,plain,
% 0.80/1.01 (~node4(s60)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2840, 595, 3586])).
% 0.80/1.01 tff(3588,plain,
% 0.80/1.01 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s60) | xuntil2p8(s60) | (~until2p7(s60)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s60) | xuntil2p8(s60) | (~until2p7(s60)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3589,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s60) | xuntil2p8(s60) | (~until2p7(s60)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3590,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s60) | xuntil2p8(s60) | (~until2p7(s60))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3589, 3588])).
% 0.80/1.01 tff(3591,plain,
% 0.80/1.01 (xuntil2p8(s60) | (~until2p7(s60))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3590, 3051, 3587])).
% 0.80/1.01 tff(3592,plain,
% 0.80/1.01 (~until2p7(s60)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3591, 3585])).
% 0.80/1.01 tff(3593,plain,
% 0.80/1.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s59, s60)) | until2p7(s60) | (~xuntil2p8(s59)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s59, s60)) | until2p7(s60) | (~xuntil2p8(s59)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3594,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s59, s60)) | until2p7(s60) | (~xuntil2p8(s59)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3595,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s59, s60)) | until2p7(s60) | (~xuntil2p8(s59))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3594, 3593])).
% 0.80/1.01 tff(3596,plain,
% 0.80/1.01 (until2p7(s60) | (~xuntil2p8(s59))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3595, 1459, 3066])).
% 0.80/1.01 tff(3597,plain,
% 0.80/1.01 (~xuntil2p8(s59)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3596, 3592])).
% 0.80/1.01 tff(3598,plain,
% 0.80/1.01 (~always3(s59)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[1467, 3586])).
% 0.80/1.01 tff(3599,plain,
% 0.80/1.01 (~node4(s59)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2823, 595, 3598])).
% 0.80/1.01 tff(3600,plain,
% 0.80/1.01 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s59) | xuntil2p8(s59) | (~until2p7(s59)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s59) | xuntil2p8(s59) | (~until2p7(s59)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3601,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s59) | xuntil2p8(s59) | (~until2p7(s59)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3602,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s59) | xuntil2p8(s59) | (~until2p7(s59))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3601, 3600])).
% 0.80/1.01 tff(3603,plain,
% 0.80/1.01 (xuntil2p8(s59) | (~until2p7(s59))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3602, 3051, 3599])).
% 0.80/1.01 tff(3604,plain,
% 0.80/1.01 (~until2p7(s59)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3603, 3597])).
% 0.80/1.01 tff(3605,plain,
% 0.80/1.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s58, s59)) | until2p7(s59) | (~xuntil2p8(s58)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s58, s59)) | until2p7(s59) | (~xuntil2p8(s58)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3606,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s58, s59)) | until2p7(s59) | (~xuntil2p8(s58)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3607,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s58, s59)) | until2p7(s59) | (~xuntil2p8(s58))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3606, 3605])).
% 0.80/1.01 tff(3608,plain,
% 0.80/1.01 (until2p7(s59) | (~xuntil2p8(s58))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3607, 1471, 3066])).
% 0.80/1.01 tff(3609,plain,
% 0.80/1.01 (~xuntil2p8(s58)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3608, 3604])).
% 0.80/1.01 tff(3610,plain,
% 0.80/1.01 (~always3(s58)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[1479, 3598])).
% 0.80/1.01 tff(3611,plain,
% 0.80/1.01 (~node4(s58)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2806, 595, 3610])).
% 0.80/1.01 tff(3612,plain,
% 0.80/1.01 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s58) | xuntil2p8(s58) | (~until2p7(s58)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s58) | xuntil2p8(s58) | (~until2p7(s58)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3613,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s58) | xuntil2p8(s58) | (~until2p7(s58)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3614,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s58) | xuntil2p8(s58) | (~until2p7(s58))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3613, 3612])).
% 0.80/1.01 tff(3615,plain,
% 0.80/1.01 (xuntil2p8(s58) | (~until2p7(s58))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3614, 3051, 3611])).
% 0.80/1.01 tff(3616,plain,
% 0.80/1.01 (~until2p7(s58)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3615, 3609])).
% 0.80/1.01 tff(3617,plain,
% 0.80/1.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s57, s58)) | until2p7(s58) | (~xuntil2p8(s57)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s57, s58)) | until2p7(s58) | (~xuntil2p8(s57)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3618,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s57, s58)) | until2p7(s58) | (~xuntil2p8(s57)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3619,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s57, s58)) | until2p7(s58) | (~xuntil2p8(s57))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3618, 3617])).
% 0.80/1.01 tff(3620,plain,
% 0.80/1.01 (until2p7(s58) | (~xuntil2p8(s57))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3619, 1483, 3066])).
% 0.80/1.01 tff(3621,plain,
% 0.80/1.01 (~xuntil2p8(s57)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3620, 3616])).
% 0.80/1.01 tff(3622,plain,
% 0.80/1.01 (~always3(s57)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[1491, 3610])).
% 0.80/1.01 tff(3623,plain,
% 0.80/1.01 (~node4(s57)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2789, 595, 3622])).
% 0.80/1.01 tff(3624,plain,
% 0.80/1.01 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s57) | xuntil2p8(s57) | (~until2p7(s57)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s57) | xuntil2p8(s57) | (~until2p7(s57)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3625,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s57) | xuntil2p8(s57) | (~until2p7(s57)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3626,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s57) | xuntil2p8(s57) | (~until2p7(s57))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3625, 3624])).
% 0.80/1.01 tff(3627,plain,
% 0.80/1.01 (xuntil2p8(s57) | (~until2p7(s57))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3626, 3051, 3623])).
% 0.80/1.01 tff(3628,plain,
% 0.80/1.01 (~until2p7(s57)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3627, 3621])).
% 0.80/1.01 tff(3629,plain,
% 0.80/1.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s56, s57)) | until2p7(s57) | (~xuntil2p8(s56)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s56, s57)) | until2p7(s57) | (~xuntil2p8(s56)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3630,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s56, s57)) | until2p7(s57) | (~xuntil2p8(s56)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3631,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s56, s57)) | until2p7(s57) | (~xuntil2p8(s56))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3630, 3629])).
% 0.80/1.01 tff(3632,plain,
% 0.80/1.01 (until2p7(s57) | (~xuntil2p8(s56))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3631, 1495, 3066])).
% 0.80/1.01 tff(3633,plain,
% 0.80/1.01 (~xuntil2p8(s56)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3632, 3628])).
% 0.80/1.01 tff(3634,plain,
% 0.80/1.01 (~always3(s56)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[1503, 3622])).
% 0.80/1.01 tff(3635,plain,
% 0.80/1.01 (~node4(s56)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2772, 595, 3634])).
% 0.80/1.01 tff(3636,plain,
% 0.80/1.01 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s56) | xuntil2p8(s56) | (~until2p7(s56)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s56) | xuntil2p8(s56) | (~until2p7(s56)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3637,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s56) | xuntil2p8(s56) | (~until2p7(s56)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3638,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s56) | xuntil2p8(s56) | (~until2p7(s56))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3637, 3636])).
% 0.80/1.01 tff(3639,plain,
% 0.80/1.01 (xuntil2p8(s56) | (~until2p7(s56))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3638, 3051, 3635])).
% 0.80/1.01 tff(3640,plain,
% 0.80/1.01 (~until2p7(s56)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3639, 3633])).
% 0.80/1.01 tff(3641,plain,
% 0.80/1.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s55, s56)) | until2p7(s56) | (~xuntil2p8(s55)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s55, s56)) | until2p7(s56) | (~xuntil2p8(s55)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3642,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s55, s56)) | until2p7(s56) | (~xuntil2p8(s55)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3643,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s55, s56)) | until2p7(s56) | (~xuntil2p8(s55))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3642, 3641])).
% 0.80/1.01 tff(3644,plain,
% 0.80/1.01 (until2p7(s56) | (~xuntil2p8(s55))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3643, 1507, 3066])).
% 0.80/1.01 tff(3645,plain,
% 0.80/1.01 (~xuntil2p8(s55)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3644, 3640])).
% 0.80/1.01 tff(3646,plain,
% 0.80/1.01 (~always3(s55)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[1515, 3634])).
% 0.80/1.01 tff(3647,plain,
% 0.80/1.01 (~node4(s55)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2755, 595, 3646])).
% 0.80/1.01 tff(3648,plain,
% 0.80/1.01 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s55) | xuntil2p8(s55) | (~until2p7(s55)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s55) | xuntil2p8(s55) | (~until2p7(s55)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3649,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s55) | xuntil2p8(s55) | (~until2p7(s55)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3650,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s55) | xuntil2p8(s55) | (~until2p7(s55))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3649, 3648])).
% 0.80/1.01 tff(3651,plain,
% 0.80/1.01 (xuntil2p8(s55) | (~until2p7(s55))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3650, 3051, 3647])).
% 0.80/1.01 tff(3652,plain,
% 0.80/1.01 (~until2p7(s55)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3651, 3645])).
% 0.80/1.01 tff(3653,plain,
% 0.80/1.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s54, s55)) | until2p7(s55) | (~xuntil2p8(s54)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s54, s55)) | until2p7(s55) | (~xuntil2p8(s54)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3654,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s54, s55)) | until2p7(s55) | (~xuntil2p8(s54)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3655,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s54, s55)) | until2p7(s55) | (~xuntil2p8(s54))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3654, 3653])).
% 0.80/1.01 tff(3656,plain,
% 0.80/1.01 (until2p7(s55) | (~xuntil2p8(s54))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3655, 1519, 3066])).
% 0.80/1.01 tff(3657,plain,
% 0.80/1.01 (~xuntil2p8(s54)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3656, 3652])).
% 0.80/1.01 tff(3658,plain,
% 0.80/1.01 (~always3(s54)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[1527, 3646])).
% 0.80/1.01 tff(3659,plain,
% 0.80/1.01 (~node4(s54)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2738, 595, 3658])).
% 0.80/1.01 tff(3660,plain,
% 0.80/1.01 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s54) | xuntil2p8(s54) | (~until2p7(s54)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s54) | xuntil2p8(s54) | (~until2p7(s54)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3661,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s54) | xuntil2p8(s54) | (~until2p7(s54)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3662,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s54) | xuntil2p8(s54) | (~until2p7(s54))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3661, 3660])).
% 0.80/1.01 tff(3663,plain,
% 0.80/1.01 (xuntil2p8(s54) | (~until2p7(s54))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3662, 3051, 3659])).
% 0.80/1.01 tff(3664,plain,
% 0.80/1.01 (~until2p7(s54)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3663, 3657])).
% 0.80/1.01 tff(3665,plain,
% 0.80/1.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s53, s54)) | until2p7(s54) | (~xuntil2p8(s53)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s53, s54)) | until2p7(s54) | (~xuntil2p8(s53)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3666,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s53, s54)) | until2p7(s54) | (~xuntil2p8(s53)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3667,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s53, s54)) | until2p7(s54) | (~xuntil2p8(s53))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3666, 3665])).
% 0.80/1.01 tff(3668,plain,
% 0.80/1.01 (until2p7(s54) | (~xuntil2p8(s53))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3667, 1531, 3066])).
% 0.80/1.01 tff(3669,plain,
% 0.80/1.01 (~xuntil2p8(s53)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3668, 3664])).
% 0.80/1.01 tff(3670,plain,
% 0.80/1.01 (~always3(s53)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[1539, 3658])).
% 0.80/1.01 tff(3671,plain,
% 0.80/1.01 (~node4(s53)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2721, 595, 3670])).
% 0.80/1.01 tff(3672,plain,
% 0.80/1.01 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s53) | xuntil2p8(s53) | (~until2p7(s53)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s53) | xuntil2p8(s53) | (~until2p7(s53)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3673,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s53) | xuntil2p8(s53) | (~until2p7(s53)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3674,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s53) | xuntil2p8(s53) | (~until2p7(s53))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3673, 3672])).
% 0.80/1.01 tff(3675,plain,
% 0.80/1.01 (xuntil2p8(s53) | (~until2p7(s53))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3674, 3051, 3671])).
% 0.80/1.01 tff(3676,plain,
% 0.80/1.01 (~until2p7(s53)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3675, 3669])).
% 0.80/1.01 tff(3677,plain,
% 0.80/1.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s52, s53)) | until2p7(s53) | (~xuntil2p8(s52)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s52, s53)) | until2p7(s53) | (~xuntil2p8(s52)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3678,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s52, s53)) | until2p7(s53) | (~xuntil2p8(s52)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3679,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s52, s53)) | until2p7(s53) | (~xuntil2p8(s52))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3678, 3677])).
% 0.80/1.01 tff(3680,plain,
% 0.80/1.01 (until2p7(s53) | (~xuntil2p8(s52))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3679, 1543, 3066])).
% 0.80/1.01 tff(3681,plain,
% 0.80/1.01 (~xuntil2p8(s52)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3680, 3676])).
% 0.80/1.01 tff(3682,plain,
% 0.80/1.01 (~always3(s52)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[1551, 3670])).
% 0.80/1.01 tff(3683,plain,
% 0.80/1.01 (~node4(s52)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2704, 595, 3682])).
% 0.80/1.01 tff(3684,plain,
% 0.80/1.01 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s52) | xuntil2p8(s52) | (~until2p7(s52)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s52) | xuntil2p8(s52) | (~until2p7(s52)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3685,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s52) | xuntil2p8(s52) | (~until2p7(s52)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3686,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s52) | xuntil2p8(s52) | (~until2p7(s52))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3685, 3684])).
% 0.80/1.01 tff(3687,plain,
% 0.80/1.01 (xuntil2p8(s52) | (~until2p7(s52))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3686, 3051, 3683])).
% 0.80/1.01 tff(3688,plain,
% 0.80/1.01 (~until2p7(s52)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3687, 3681])).
% 0.80/1.01 tff(3689,plain,
% 0.80/1.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s51, s52)) | until2p7(s52) | (~xuntil2p8(s51)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s51, s52)) | until2p7(s52) | (~xuntil2p8(s51)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3690,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s51, s52)) | until2p7(s52) | (~xuntil2p8(s51)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3691,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s51, s52)) | until2p7(s52) | (~xuntil2p8(s51))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3690, 3689])).
% 0.80/1.01 tff(3692,plain,
% 0.80/1.01 (until2p7(s52) | (~xuntil2p8(s51))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3691, 1555, 3066])).
% 0.80/1.01 tff(3693,plain,
% 0.80/1.01 (~xuntil2p8(s51)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3692, 3688])).
% 0.80/1.01 tff(3694,plain,
% 0.80/1.01 (~always3(s51)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[1563, 3682])).
% 0.80/1.01 tff(3695,plain,
% 0.80/1.01 (~node4(s51)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2687, 595, 3694])).
% 0.80/1.01 tff(3696,plain,
% 0.80/1.01 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s51) | xuntil2p8(s51) | (~until2p7(s51)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s51) | xuntil2p8(s51) | (~until2p7(s51)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3697,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s51) | xuntil2p8(s51) | (~until2p7(s51)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3698,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s51) | xuntil2p8(s51) | (~until2p7(s51))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3697, 3696])).
% 0.80/1.01 tff(3699,plain,
% 0.80/1.01 (xuntil2p8(s51) | (~until2p7(s51))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3698, 3051, 3695])).
% 0.80/1.01 tff(3700,plain,
% 0.80/1.01 (~until2p7(s51)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3699, 3693])).
% 0.80/1.01 tff(3701,plain,
% 0.80/1.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s50, s51)) | until2p7(s51) | (~xuntil2p8(s50)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s50, s51)) | until2p7(s51) | (~xuntil2p8(s50)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3702,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s50, s51)) | until2p7(s51) | (~xuntil2p8(s50)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3703,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s50, s51)) | until2p7(s51) | (~xuntil2p8(s50))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3702, 3701])).
% 0.80/1.01 tff(3704,plain,
% 0.80/1.01 (until2p7(s51) | (~xuntil2p8(s50))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3703, 1567, 3066])).
% 0.80/1.01 tff(3705,plain,
% 0.80/1.01 (~xuntil2p8(s50)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3704, 3700])).
% 0.80/1.01 tff(3706,plain,
% 0.80/1.01 (~always3(s50)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[1575, 3694])).
% 0.80/1.01 tff(3707,plain,
% 0.80/1.01 (~node4(s50)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2670, 595, 3706])).
% 0.80/1.01 tff(3708,plain,
% 0.80/1.01 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s50) | xuntil2p8(s50) | (~until2p7(s50)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s50) | xuntil2p8(s50) | (~until2p7(s50)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3709,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s50) | xuntil2p8(s50) | (~until2p7(s50)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3710,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s50) | xuntil2p8(s50) | (~until2p7(s50))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3709, 3708])).
% 0.80/1.01 tff(3711,plain,
% 0.80/1.01 (xuntil2p8(s50) | (~until2p7(s50))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3710, 3051, 3707])).
% 0.80/1.01 tff(3712,plain,
% 0.80/1.01 (~until2p7(s50)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3711, 3705])).
% 0.80/1.01 tff(3713,plain,
% 0.80/1.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s49, s50)) | until2p7(s50) | (~xuntil2p8(s49)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s49, s50)) | until2p7(s50) | (~xuntil2p8(s49)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3714,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s49, s50)) | until2p7(s50) | (~xuntil2p8(s49)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3715,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s49, s50)) | until2p7(s50) | (~xuntil2p8(s49))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3714, 3713])).
% 0.80/1.01 tff(3716,plain,
% 0.80/1.01 (until2p7(s50) | (~xuntil2p8(s49))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3715, 1579, 3066])).
% 0.80/1.01 tff(3717,plain,
% 0.80/1.01 (~xuntil2p8(s49)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3716, 3712])).
% 0.80/1.01 tff(3718,plain,
% 0.80/1.01 (~always3(s49)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[1587, 3706])).
% 0.80/1.01 tff(3719,plain,
% 0.80/1.01 (~node4(s49)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2653, 595, 3718])).
% 0.80/1.01 tff(3720,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3721,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s49) | xuntil2p8(s49) | (~until2p7(s49)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3722,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s49) | xuntil2p8(s49) | (~until2p7(s49))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3721, 3720])).
% 0.80/1.01 tff(3723,plain,
% 0.80/1.01 (xuntil2p8(s49) | (~until2p7(s49))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3722, 3051, 3719])).
% 0.80/1.01 tff(3724,plain,
% 0.80/1.01 (~until2p7(s49)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3723, 3717])).
% 0.80/1.01 tff(3725,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3726,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3727,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3726, 3725])).
% 0.80/1.01 tff(3728,plain,
% 0.80/1.01 (until2p7(s49) | (~xuntil2p8(s48))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3727, 1591, 3066])).
% 0.80/1.01 tff(3729,plain,
% 0.80/1.01 (~xuntil2p8(s48)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3728, 3724])).
% 0.80/1.01 tff(3730,plain,
% 0.80/1.01 (~always3(s48)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[1599, 3718])).
% 0.80/1.01 tff(3731,plain,
% 0.80/1.01 (~node4(s48)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2636, 595, 3730])).
% 0.80/1.01 tff(3732,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3733,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s48) | xuntil2p8(s48) | (~until2p7(s48)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3734,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s48) | xuntil2p8(s48) | (~until2p7(s48))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3733, 3732])).
% 0.80/1.01 tff(3735,plain,
% 0.80/1.01 (xuntil2p8(s48) | (~until2p7(s48))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3734, 3051, 3731])).
% 0.80/1.01 tff(3736,plain,
% 0.80/1.01 (~until2p7(s48)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3735, 3729])).
% 0.80/1.01 tff(3737,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3738,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3739,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3738, 3737])).
% 0.80/1.01 tff(3740,plain,
% 0.80/1.01 (until2p7(s48) | (~xuntil2p8(s47))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3739, 36, 3066])).
% 0.80/1.01 tff(3741,plain,
% 0.80/1.01 (~xuntil2p8(s47)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3740, 3736])).
% 0.80/1.01 tff(3742,plain,
% 0.80/1.01 (~always3(s47)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[54, 3730])).
% 0.80/1.01 tff(3743,plain,
% 0.80/1.01 (~node4(s47)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2619, 595, 3742])).
% 0.80/1.01 tff(3744,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3745,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s47) | xuntil2p8(s47) | (~until2p7(s47)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3746,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s47) | xuntil2p8(s47) | (~until2p7(s47))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3745, 3744])).
% 0.80/1.01 tff(3747,plain,
% 0.80/1.01 (xuntil2p8(s47) | (~until2p7(s47))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3746, 3051, 3743])).
% 0.80/1.01 tff(3748,plain,
% 0.80/1.01 (~until2p7(s47)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3747, 3741])).
% 0.80/1.01 tff(3749,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3750,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3751,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3750, 3749])).
% 0.80/1.01 tff(3752,plain,
% 0.80/1.01 (until2p7(s47) | (~xuntil2p8(s46))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3751, 58, 3066])).
% 0.80/1.01 tff(3753,plain,
% 0.80/1.01 (~xuntil2p8(s46)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3752, 3748])).
% 0.80/1.01 tff(3754,plain,
% 0.80/1.01 (~always3(s46)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[66, 3742])).
% 0.80/1.01 tff(3755,plain,
% 0.80/1.01 (~node4(s46)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2602, 595, 3754])).
% 0.80/1.01 tff(3756,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3757,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s46) | xuntil2p8(s46) | (~until2p7(s46)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3758,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s46) | xuntil2p8(s46) | (~until2p7(s46))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3757, 3756])).
% 0.80/1.01 tff(3759,plain,
% 0.80/1.01 (xuntil2p8(s46) | (~until2p7(s46))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3758, 3051, 3755])).
% 0.80/1.01 tff(3760,plain,
% 0.80/1.01 (~until2p7(s46)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3759, 3753])).
% 0.80/1.01 tff(3761,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3762,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3763,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3762, 3761])).
% 0.80/1.01 tff(3764,plain,
% 0.80/1.01 (until2p7(s46) | (~xuntil2p8(s45))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3763, 70, 3066])).
% 0.80/1.01 tff(3765,plain,
% 0.80/1.01 (~xuntil2p8(s45)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3764, 3760])).
% 0.80/1.01 tff(3766,plain,
% 0.80/1.01 (~always3(s45)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[78, 3754])).
% 0.80/1.01 tff(3767,plain,
% 0.80/1.01 (~node4(s45)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2585, 595, 3766])).
% 0.80/1.01 tff(3768,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3769,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s45) | xuntil2p8(s45) | (~until2p7(s45)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3770,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s45) | xuntil2p8(s45) | (~until2p7(s45))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3769, 3768])).
% 0.80/1.01 tff(3771,plain,
% 0.80/1.01 (xuntil2p8(s45) | (~until2p7(s45))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3770, 3051, 3767])).
% 0.80/1.01 tff(3772,plain,
% 0.80/1.01 (~until2p7(s45)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3771, 3765])).
% 0.80/1.01 tff(3773,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3774,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3775,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3774, 3773])).
% 0.80/1.01 tff(3776,plain,
% 0.80/1.01 (until2p7(s45) | (~xuntil2p8(s44))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3775, 82, 3066])).
% 0.80/1.01 tff(3777,plain,
% 0.80/1.01 (~xuntil2p8(s44)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3776, 3772])).
% 0.80/1.01 tff(3778,plain,
% 0.80/1.01 (~always3(s44)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[90, 3766])).
% 0.80/1.01 tff(3779,plain,
% 0.80/1.01 (~node4(s44)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2568, 595, 3778])).
% 0.80/1.01 tff(3780,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3781,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s44) | xuntil2p8(s44) | (~until2p7(s44)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3782,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s44) | xuntil2p8(s44) | (~until2p7(s44))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 0.80/1.01 tff(3783,plain,
% 0.80/1.01 (xuntil2p8(s44) | (~until2p7(s44))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3782, 3051, 3779])).
% 0.80/1.01 tff(3784,plain,
% 0.80/1.01 (~until2p7(s44)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3783, 3777])).
% 0.80/1.01 tff(3785,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3786,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3787,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3786, 3785])).
% 0.80/1.01 tff(3788,plain,
% 0.80/1.01 (until2p7(s44) | (~xuntil2p8(s43))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3787, 94, 3066])).
% 0.80/1.01 tff(3789,plain,
% 0.80/1.01 (~xuntil2p8(s43)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3788, 3784])).
% 0.80/1.01 tff(3790,plain,
% 0.80/1.01 (~always3(s43)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[102, 3778])).
% 0.80/1.01 tff(3791,plain,
% 0.80/1.01 (~node4(s43)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2551, 595, 3790])).
% 0.80/1.01 tff(3792,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3793,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s43) | xuntil2p8(s43) | (~until2p7(s43)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3794,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s43) | xuntil2p8(s43) | (~until2p7(s43))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3793, 3792])).
% 0.80/1.01 tff(3795,plain,
% 0.80/1.01 (xuntil2p8(s43) | (~until2p7(s43))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3794, 3051, 3791])).
% 0.80/1.01 tff(3796,plain,
% 0.80/1.01 (~until2p7(s43)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3795, 3789])).
% 0.80/1.01 tff(3797,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3798,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3799,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3798, 3797])).
% 0.80/1.01 tff(3800,plain,
% 0.80/1.01 (until2p7(s43) | (~xuntil2p8(s42))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3799, 106, 3066])).
% 0.80/1.01 tff(3801,plain,
% 0.80/1.01 (~xuntil2p8(s42)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3800, 3796])).
% 0.80/1.01 tff(3802,plain,
% 0.80/1.01 (~always3(s42)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[114, 3790])).
% 0.80/1.01 tff(3803,plain,
% 0.80/1.01 (~node4(s42)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2534, 595, 3802])).
% 0.80/1.01 tff(3804,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3805,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s42) | xuntil2p8(s42) | (~until2p7(s42)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3806,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s42) | xuntil2p8(s42) | (~until2p7(s42))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3805, 3804])).
% 0.80/1.01 tff(3807,plain,
% 0.80/1.01 (xuntil2p8(s42) | (~until2p7(s42))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3806, 3051, 3803])).
% 0.80/1.01 tff(3808,plain,
% 0.80/1.01 (~until2p7(s42)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3807, 3801])).
% 0.80/1.01 tff(3809,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3810,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3811,plain,
% 0.80/1.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3810, 3809])).
% 0.80/1.01 tff(3812,plain,
% 0.80/1.01 (until2p7(s42) | (~xuntil2p8(s41))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3811, 118, 3066])).
% 0.80/1.01 tff(3813,plain,
% 0.80/1.01 (~xuntil2p8(s41)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3812, 3808])).
% 0.80/1.01 tff(3814,plain,
% 0.80/1.01 (~always3(s41)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[126, 3802])).
% 0.80/1.01 tff(3815,plain,
% 0.80/1.01 (~node4(s41)),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[2517, 595, 3814])).
% 0.80/1.01 tff(3816,plain,
% 0.80/1.01 (((~![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)))),
% 0.80/1.01 inference(rewrite,[status(thm)],[])).
% 0.80/1.01 tff(3817,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s41) | xuntil2p8(s41) | (~until2p7(s41)))),
% 0.80/1.01 inference(quant_inst,[status(thm)],[])).
% 0.80/1.01 tff(3818,plain,
% 0.80/1.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s41) | xuntil2p8(s41) | (~until2p7(s41))),
% 0.80/1.01 inference(modus_ponens,[status(thm)],[3817, 3816])).
% 0.80/1.01 tff(3819,plain,
% 0.80/1.01 (xuntil2p8(s41) | (~until2p7(s41))),
% 0.80/1.01 inference(unit_resolution,[status(thm)],[3818, 3051, 3815])).
% 0.80/1.01 tff(3820,plain,
% 0.80/1.01 (~until2p7(s41)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3819, 3813])).
% 0.80/1.02 tff(3821,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3822,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3823,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3822, 3821])).
% 0.80/1.02 tff(3824,plain,
% 0.80/1.02 (until2p7(s41) | (~xuntil2p8(s40))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3823, 130, 3066])).
% 0.80/1.02 tff(3825,plain,
% 0.80/1.02 (~xuntil2p8(s40)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3824, 3820])).
% 0.80/1.02 tff(3826,plain,
% 0.80/1.02 (~always3(s40)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[138, 3814])).
% 0.80/1.02 tff(3827,plain,
% 0.80/1.02 (~node4(s40)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[2500, 595, 3826])).
% 0.80/1.02 tff(3828,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3829,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s40) | xuntil2p8(s40) | (~until2p7(s40)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3830,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s40) | xuntil2p8(s40) | (~until2p7(s40))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3829, 3828])).
% 0.80/1.02 tff(3831,plain,
% 0.80/1.02 (xuntil2p8(s40) | (~until2p7(s40))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3830, 3051, 3827])).
% 0.80/1.02 tff(3832,plain,
% 0.80/1.02 (~until2p7(s40)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3831, 3825])).
% 0.80/1.02 tff(3833,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3834,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3835,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3834, 3833])).
% 0.80/1.02 tff(3836,plain,
% 0.80/1.02 (until2p7(s40) | (~xuntil2p8(s39))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3835, 142, 3066])).
% 0.80/1.02 tff(3837,plain,
% 0.80/1.02 (~xuntil2p8(s39)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3836, 3832])).
% 0.80/1.02 tff(3838,plain,
% 0.80/1.02 (~always3(s39)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[150, 3826])).
% 0.80/1.02 tff(3839,plain,
% 0.80/1.02 (~node4(s39)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[2483, 595, 3838])).
% 0.80/1.02 tff(3840,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3841,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s39) | xuntil2p8(s39) | (~until2p7(s39)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3842,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s39) | xuntil2p8(s39) | (~until2p7(s39))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3841, 3840])).
% 0.80/1.02 tff(3843,plain,
% 0.80/1.02 (xuntil2p8(s39) | (~until2p7(s39))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3842, 3051, 3839])).
% 0.80/1.02 tff(3844,plain,
% 0.80/1.02 (~until2p7(s39)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3843, 3837])).
% 0.80/1.02 tff(3845,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3846,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3847,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3846, 3845])).
% 0.80/1.02 tff(3848,plain,
% 0.80/1.02 (until2p7(s39) | (~xuntil2p8(s38))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3847, 154, 3066])).
% 0.80/1.02 tff(3849,plain,
% 0.80/1.02 (~xuntil2p8(s38)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3848, 3844])).
% 0.80/1.02 tff(3850,plain,
% 0.80/1.02 (~always3(s38)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[162, 3838])).
% 0.80/1.02 tff(3851,plain,
% 0.80/1.02 (~node4(s38)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[2466, 595, 3850])).
% 0.80/1.02 tff(3852,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3853,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s38) | xuntil2p8(s38) | (~until2p7(s38)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3854,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s38) | xuntil2p8(s38) | (~until2p7(s38))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3853, 3852])).
% 0.80/1.02 tff(3855,plain,
% 0.80/1.02 (xuntil2p8(s38) | (~until2p7(s38))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3854, 3051, 3851])).
% 0.80/1.02 tff(3856,plain,
% 0.80/1.02 (~until2p7(s38)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3855, 3849])).
% 0.80/1.02 tff(3857,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3858,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3859,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3858, 3857])).
% 0.80/1.02 tff(3860,plain,
% 0.80/1.02 (until2p7(s38) | (~xuntil2p8(s37))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3859, 166, 3066])).
% 0.80/1.02 tff(3861,plain,
% 0.80/1.02 (~xuntil2p8(s37)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3860, 3856])).
% 0.80/1.02 tff(3862,plain,
% 0.80/1.02 (~always3(s37)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[174, 3850])).
% 0.80/1.02 tff(3863,plain,
% 0.80/1.02 (~node4(s37)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[2449, 595, 3862])).
% 0.80/1.02 tff(3864,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3865,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s37) | xuntil2p8(s37) | (~until2p7(s37)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3866,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s37) | xuntil2p8(s37) | (~until2p7(s37))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3865, 3864])).
% 0.80/1.02 tff(3867,plain,
% 0.80/1.02 (xuntil2p8(s37) | (~until2p7(s37))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3866, 3051, 3863])).
% 0.80/1.02 tff(3868,plain,
% 0.80/1.02 (~until2p7(s37)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3867, 3861])).
% 0.80/1.02 tff(3869,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3870,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3871,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3870, 3869])).
% 0.80/1.02 tff(3872,plain,
% 0.80/1.02 (until2p7(s37) | (~xuntil2p8(s36))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3871, 178, 3066])).
% 0.80/1.02 tff(3873,plain,
% 0.80/1.02 (~xuntil2p8(s36)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3872, 3868])).
% 0.80/1.02 tff(3874,assumption,(node4(s36)), introduced(assumption)).
% 0.80/1.02 tff(3875,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3876,plain,
% 0.80/1.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s36) | (~node4(s36)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3877,plain,
% 0.80/1.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s36) | (~node4(s36))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3876, 3875])).
% 0.80/1.02 tff(3878,plain,
% 0.80/1.02 (m_main_v_request(s36)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3877, 3141, 3874])).
% 0.80/1.02 tff(3879,plain,
% 0.80/1.02 (always3(s36)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[1615, 595, 3874])).
% 0.80/1.02 tff(3880,plain,
% 0.80/1.02 (always3(s37)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[186, 3879])).
% 0.80/1.02 tff(3881,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3882,plain,
% 0.80/1.02 (((~m_main_v_state(s37, c_busy)) | (~always3(s37))) <=> ((~always3(s37)) | (~m_main_v_state(s37, c_busy)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3883,plain,
% 0.80/1.02 (((~![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))))),
% 0.80/1.02 inference(monotonicity,[status(thm)],[3882])).
% 0.80/1.02 tff(3884,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(transitivity,[status(thm)],[3883, 3881])).
% 0.80/1.02 tff(3885,plain,
% 0.80/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s37, c_busy)) | (~always3(s37)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3886,plain,
% 0.80/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s37)) | (~m_main_v_state(s37, c_busy))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3885, 3884])).
% 0.80/1.02 tff(3887,plain,
% 0.80/1.02 (~m_main_v_state(s37, c_busy)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3886, 3154, 3880])).
% 0.80/1.02 tff(3888,plain,
% 0.80/1.02 (((~![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))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3889,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s36, s37)) | node2(s36, s37))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3890,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s36, s37)) | node2(s36, s37)),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3889, 3888])).
% 0.80/1.02 tff(3891,plain,
% 0.80/1.02 (node2(s36, s37)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3890, 7, 182])).
% 0.80/1.02 tff(3892,plain,
% 0.80/1.02 (((~![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(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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3893,plain,
% 0.80/1.02 ((~![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(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3894,plain,
% 0.80/1.02 ((~![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(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3893, 3892])).
% 0.80/1.02 tff(3895,plain,
% 0.80/1.02 ((~m_main_v_state(s36, c_ready)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3894, 3175, 3891])).
% 0.80/1.02 tff(3896,plain,
% 0.80/1.02 (~m_main_v_state(s36, c_ready)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3895, 3887, 3878])).
% 0.80/1.02 tff(3897,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3898,plain,
% 0.80/1.02 (((~m_main_v_state(s36, c_busy)) | (~always3(s36))) <=> ((~always3(s36)) | (~m_main_v_state(s36, c_busy)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3899,plain,
% 0.80/1.02 (((~![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))))),
% 0.80/1.02 inference(monotonicity,[status(thm)],[3898])).
% 0.80/1.02 tff(3900,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(transitivity,[status(thm)],[3899, 3897])).
% 0.80/1.02 tff(3901,plain,
% 0.80/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s36, c_busy)) | (~always3(s36)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3902,plain,
% 0.80/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s36)) | (~m_main_v_state(s36, c_busy))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3901, 3900])).
% 0.80/1.02 tff(3903,plain,
% 0.80/1.02 (~m_main_v_state(s36, c_busy)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3902, 3154, 3879])).
% 0.80/1.02 tff(3904,plain,
% 0.80/1.02 (((~![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))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3905,plain,
% 0.80/1.02 ((~![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))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3906,plain,
% 0.80/1.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s36, c_busy) | m_main_v_state(s36, c_ready)),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3905, 3904])).
% 0.80/1.02 tff(3907,plain,
% 0.80/1.02 ($false),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3906, 19, 3903, 3896])).
% 0.80/1.02 tff(3908,plain,(~node4(s36)), inference(lemma,lemma(discharge,[]))).
% 0.80/1.02 tff(3909,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3910,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s36) | xuntil2p8(s36) | (~until2p7(s36)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3911,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s36) | xuntil2p8(s36) | (~until2p7(s36))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3910, 3909])).
% 0.80/1.02 tff(3912,plain,
% 0.80/1.02 (xuntil2p8(s36) | (~until2p7(s36))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3911, 3051, 3908])).
% 0.80/1.02 tff(3913,plain,
% 0.80/1.02 (~until2p7(s36)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3912, 3873])).
% 0.80/1.02 tff(3914,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3915,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3916,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3915, 3914])).
% 0.80/1.02 tff(3917,plain,
% 0.80/1.02 (until2p7(s36) | (~xuntil2p8(s35))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3916, 190, 3066])).
% 0.80/1.02 tff(3918,plain,
% 0.80/1.02 (~xuntil2p8(s35)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3917, 3913])).
% 0.80/1.02 tff(3919,plain,
% 0.80/1.02 (~always3(s36)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[186, 3862])).
% 0.80/1.02 tff(3920,plain,
% 0.80/1.02 (~always3(s35)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[198, 3919])).
% 0.80/1.02 tff(3921,plain,
% 0.80/1.02 (~node4(s35)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[1620, 595, 3920])).
% 0.80/1.02 tff(3922,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3923,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s35) | xuntil2p8(s35) | (~until2p7(s35)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3924,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s35) | xuntil2p8(s35) | (~until2p7(s35))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3923, 3922])).
% 0.80/1.02 tff(3925,plain,
% 0.80/1.02 (xuntil2p8(s35) | (~until2p7(s35))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3924, 3051, 3921])).
% 0.80/1.02 tff(3926,plain,
% 0.80/1.02 (~until2p7(s35)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3925, 3918])).
% 0.80/1.02 tff(3927,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3928,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3929,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 0.80/1.02 tff(3930,plain,
% 0.80/1.02 (until2p7(s35) | (~xuntil2p8(s34))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3929, 202, 3066])).
% 0.80/1.02 tff(3931,plain,
% 0.80/1.02 (~xuntil2p8(s34)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3930, 3926])).
% 0.80/1.02 tff(3932,plain,
% 0.80/1.02 (~always3(s34)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[210, 3920])).
% 0.80/1.02 tff(3933,plain,
% 0.80/1.02 (~node4(s34)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[1631, 595, 3932])).
% 0.80/1.02 tff(3934,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3935,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s34) | xuntil2p8(s34) | (~until2p7(s34)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3936,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s34) | xuntil2p8(s34) | (~until2p7(s34))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3935, 3934])).
% 0.80/1.02 tff(3937,plain,
% 0.80/1.02 (xuntil2p8(s34) | (~until2p7(s34))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3936, 3051, 3933])).
% 0.80/1.02 tff(3938,plain,
% 0.80/1.02 (~until2p7(s34)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3937, 3931])).
% 0.80/1.02 tff(3939,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3940,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3941,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3940, 3939])).
% 0.80/1.02 tff(3942,plain,
% 0.80/1.02 (until2p7(s34) | (~xuntil2p8(s33))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3941, 214, 3066])).
% 0.80/1.02 tff(3943,plain,
% 0.80/1.02 (~xuntil2p8(s33)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3942, 3938])).
% 0.80/1.02 tff(3944,plain,
% 0.80/1.02 (~always3(s33)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[222, 3932])).
% 0.80/1.02 tff(3945,plain,
% 0.80/1.02 (~node4(s33)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[1627, 595, 3944])).
% 0.80/1.02 tff(3946,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3947,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s33) | xuntil2p8(s33) | (~until2p7(s33)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3948,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s33) | xuntil2p8(s33) | (~until2p7(s33))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3947, 3946])).
% 0.80/1.02 tff(3949,plain,
% 0.80/1.02 (xuntil2p8(s33) | (~until2p7(s33))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3948, 3051, 3945])).
% 0.80/1.02 tff(3950,plain,
% 0.80/1.02 (~until2p7(s33)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3949, 3943])).
% 0.80/1.02 tff(3951,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3952,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3953,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3952, 3951])).
% 0.80/1.02 tff(3954,plain,
% 0.80/1.02 (until2p7(s33) | (~xuntil2p8(s32))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3953, 226, 3066])).
% 0.80/1.02 tff(3955,plain,
% 0.80/1.02 (~xuntil2p8(s32)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3954, 3950])).
% 0.80/1.02 tff(3956,assumption,(node4(s32)), introduced(assumption)).
% 0.80/1.02 tff(3957,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3958,plain,
% 0.80/1.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s32) | (~node4(s32)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3959,plain,
% 0.80/1.02 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s32) | (~node4(s32))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3958, 3957])).
% 0.80/1.02 tff(3960,plain,
% 0.80/1.02 (m_main_v_request(s32)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3959, 3141, 3956])).
% 0.80/1.02 tff(3961,plain,
% 0.80/1.02 (always3(s32)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[1662, 595, 3956])).
% 0.80/1.02 tff(3962,plain,
% 0.80/1.02 (always3(s33)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[234, 3961])).
% 0.80/1.02 tff(3963,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3964,plain,
% 0.80/1.02 (((~m_main_v_state(s33, c_busy)) | (~always3(s33))) <=> ((~always3(s33)) | (~m_main_v_state(s33, c_busy)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3965,plain,
% 0.80/1.02 (((~![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))))),
% 0.80/1.02 inference(monotonicity,[status(thm)],[3964])).
% 0.80/1.02 tff(3966,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(transitivity,[status(thm)],[3965, 3963])).
% 0.80/1.02 tff(3967,plain,
% 0.80/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s33, c_busy)) | (~always3(s33)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3968,plain,
% 0.80/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s33)) | (~m_main_v_state(s33, c_busy))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3967, 3966])).
% 0.80/1.02 tff(3969,plain,
% 0.80/1.02 (~m_main_v_state(s33, c_busy)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3968, 3154, 3962])).
% 0.80/1.02 tff(3970,plain,
% 0.80/1.02 (((~![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))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3971,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s32, s33)) | node2(s32, s33))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3972,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s32, s33)) | node2(s32, s33)),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3971, 3970])).
% 0.80/1.02 tff(3973,plain,
% 0.80/1.02 (node2(s32, s33)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3972, 7, 230])).
% 0.80/1.02 tff(3974,plain,
% 0.80/1.02 (((~![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(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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3975,plain,
% 0.80/1.02 ((~![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(s32, c_ready)) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3976,plain,
% 0.80/1.02 ((~![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(s32, c_ready)) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3975, 3974])).
% 0.80/1.02 tff(3977,plain,
% 0.80/1.02 ((~m_main_v_state(s32, c_ready)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3976, 3175, 3973])).
% 0.80/1.02 tff(3978,plain,
% 0.80/1.02 (~m_main_v_state(s32, c_ready)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3977, 3969, 3960])).
% 0.80/1.02 tff(3979,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3980,plain,
% 0.80/1.02 (((~m_main_v_state(s32, c_busy)) | (~always3(s32))) <=> ((~always3(s32)) | (~m_main_v_state(s32, c_busy)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3981,plain,
% 0.80/1.02 (((~![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))))),
% 0.80/1.02 inference(monotonicity,[status(thm)],[3980])).
% 0.80/1.02 tff(3982,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(transitivity,[status(thm)],[3981, 3979])).
% 0.80/1.02 tff(3983,plain,
% 0.80/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s32, c_busy)) | (~always3(s32)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3984,plain,
% 0.80/1.02 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s32)) | (~m_main_v_state(s32, c_busy))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3983, 3982])).
% 0.80/1.02 tff(3985,plain,
% 0.80/1.02 (~m_main_v_state(s32, c_busy)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3984, 3154, 3961])).
% 0.80/1.02 tff(3986,plain,
% 0.80/1.02 (((~![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))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3987,plain,
% 0.80/1.02 ((~![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))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3988,plain,
% 0.80/1.02 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s32, c_busy) | m_main_v_state(s32, c_ready)),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3987, 3986])).
% 0.80/1.02 tff(3989,plain,
% 0.80/1.02 ($false),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3988, 19, 3985, 3978])).
% 0.80/1.02 tff(3990,plain,(~node4(s32)), inference(lemma,lemma(discharge,[]))).
% 0.80/1.02 tff(3991,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3992,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s32) | xuntil2p8(s32) | (~until2p7(s32)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3993,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s32) | xuntil2p8(s32) | (~until2p7(s32))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3992, 3991])).
% 0.80/1.02 tff(3994,plain,
% 0.80/1.02 (xuntil2p8(s32) | (~until2p7(s32))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3993, 3051, 3990])).
% 0.80/1.02 tff(3995,plain,
% 0.80/1.02 (~until2p7(s32)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3994, 3955])).
% 0.80/1.02 tff(3996,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(3997,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(3998,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[3997, 3996])).
% 0.80/1.02 tff(3999,plain,
% 0.80/1.02 (until2p7(s32) | (~xuntil2p8(s31))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3998, 238, 3066])).
% 0.80/1.02 tff(4000,plain,
% 0.80/1.02 (~xuntil2p8(s31)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[3999, 3995])).
% 0.80/1.02 tff(4001,plain,
% 0.80/1.02 (~always3(s32)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[234, 3944])).
% 0.80/1.02 tff(4002,plain,
% 0.80/1.02 (~always3(s31)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[246, 4001])).
% 0.80/1.02 tff(4003,plain,
% 0.80/1.02 (~node4(s31)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[1680, 595, 4002])).
% 0.80/1.02 tff(4004,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(4005,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s31) | xuntil2p8(s31) | (~until2p7(s31)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(4006,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s31) | xuntil2p8(s31) | (~until2p7(s31))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[4005, 4004])).
% 0.80/1.02 tff(4007,plain,
% 0.80/1.02 (xuntil2p8(s31) | (~until2p7(s31))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[4006, 3051, 4003])).
% 0.80/1.02 tff(4008,plain,
% 0.80/1.02 (~until2p7(s31)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[4007, 4000])).
% 0.80/1.02 tff(4009,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(4010,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30)))),
% 0.80/1.02 inference(quant_inst,[status(thm)],[])).
% 0.80/1.02 tff(4011,plain,
% 0.80/1.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30))),
% 0.80/1.02 inference(modus_ponens,[status(thm)],[4010, 4009])).
% 0.80/1.02 tff(4012,plain,
% 0.80/1.02 (until2p7(s31) | (~xuntil2p8(s30))),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[4011, 250, 3066])).
% 0.80/1.02 tff(4013,plain,
% 0.80/1.02 (~xuntil2p8(s30)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[4012, 4008])).
% 0.80/1.02 tff(4014,plain,
% 0.80/1.02 (~always3(s30)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[258, 4002])).
% 0.80/1.02 tff(4015,plain,
% 0.80/1.02 (~node4(s30)),
% 0.80/1.02 inference(unit_resolution,[status(thm)],[1698, 595, 4014])).
% 0.80/1.02 tff(4016,plain,
% 0.80/1.02 (((~![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)))),
% 0.80/1.02 inference(rewrite,[status(thm)],[])).
% 0.80/1.02 tff(4017,plain,
% 0.80/1.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s30) | xuntil2p8(s30) | (~until2p7(s30)))),
% 0.80/1.03 inference(quant_inst,[status(thm)],[])).
% 0.80/1.03 tff(4018,plain,
% 0.80/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s30) | xuntil2p8(s30) | (~until2p7(s30))),
% 0.80/1.03 inference(modus_ponens,[status(thm)],[4017, 4016])).
% 0.80/1.03 tff(4019,plain,
% 0.80/1.03 (xuntil2p8(s30) | (~until2p7(s30))),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4018, 3051, 4015])).
% 0.80/1.03 tff(4020,plain,
% 0.80/1.03 (~until2p7(s30)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4019, 4013])).
% 0.80/1.03 tff(4021,plain,
% 0.80/1.03 (((~![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)))),
% 0.80/1.03 inference(rewrite,[status(thm)],[])).
% 0.80/1.03 tff(4022,plain,
% 0.80/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29)))),
% 0.80/1.03 inference(quant_inst,[status(thm)],[])).
% 0.80/1.03 tff(4023,plain,
% 0.80/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29))),
% 0.80/1.03 inference(modus_ponens,[status(thm)],[4022, 4021])).
% 0.80/1.03 tff(4024,plain,
% 0.80/1.03 (until2p7(s30) | (~xuntil2p8(s29))),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4023, 262, 3066])).
% 0.80/1.03 tff(4025,plain,
% 0.80/1.03 (~xuntil2p8(s29)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4024, 4020])).
% 0.80/1.03 tff(4026,plain,
% 0.80/1.03 (~always3(s29)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[270, 4014])).
% 0.80/1.03 tff(4027,plain,
% 0.80/1.03 (~node4(s29)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[1716, 595, 4026])).
% 0.80/1.03 tff(4028,plain,
% 0.80/1.03 (((~![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)))),
% 0.80/1.03 inference(rewrite,[status(thm)],[])).
% 0.80/1.03 tff(4029,plain,
% 0.80/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s29) | xuntil2p8(s29) | (~until2p7(s29)))),
% 0.80/1.03 inference(quant_inst,[status(thm)],[])).
% 0.80/1.03 tff(4030,plain,
% 0.80/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s29) | xuntil2p8(s29) | (~until2p7(s29))),
% 0.80/1.03 inference(modus_ponens,[status(thm)],[4029, 4028])).
% 0.80/1.03 tff(4031,plain,
% 0.80/1.03 (xuntil2p8(s29) | (~until2p7(s29))),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4030, 3051, 4027])).
% 0.80/1.03 tff(4032,plain,
% 0.80/1.03 (~until2p7(s29)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4031, 4025])).
% 0.80/1.03 tff(4033,plain,
% 0.80/1.03 (((~![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)))),
% 0.80/1.03 inference(rewrite,[status(thm)],[])).
% 0.80/1.03 tff(4034,plain,
% 0.80/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28)))),
% 0.80/1.03 inference(quant_inst,[status(thm)],[])).
% 0.80/1.03 tff(4035,plain,
% 0.80/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28))),
% 0.80/1.03 inference(modus_ponens,[status(thm)],[4034, 4033])).
% 0.80/1.03 tff(4036,plain,
% 0.80/1.03 (until2p7(s29) | (~xuntil2p8(s28))),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4035, 274, 3066])).
% 0.80/1.03 tff(4037,plain,
% 0.80/1.03 (~xuntil2p8(s28)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4036, 4032])).
% 0.80/1.03 tff(4038,plain,
% 0.80/1.03 (~always3(s28)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[282, 4026])).
% 0.80/1.03 tff(4039,plain,
% 0.80/1.03 (~node4(s28)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[1734, 595, 4038])).
% 0.80/1.03 tff(4040,plain,
% 0.80/1.03 (((~![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)))),
% 0.80/1.03 inference(rewrite,[status(thm)],[])).
% 0.80/1.03 tff(4041,plain,
% 0.80/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s28) | xuntil2p8(s28) | (~until2p7(s28)))),
% 0.80/1.03 inference(quant_inst,[status(thm)],[])).
% 0.80/1.03 tff(4042,plain,
% 0.80/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s28) | xuntil2p8(s28) | (~until2p7(s28))),
% 0.80/1.03 inference(modus_ponens,[status(thm)],[4041, 4040])).
% 0.80/1.03 tff(4043,plain,
% 0.80/1.03 (xuntil2p8(s28) | (~until2p7(s28))),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4042, 3051, 4039])).
% 0.80/1.03 tff(4044,plain,
% 0.80/1.03 (~until2p7(s28)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4043, 4037])).
% 0.80/1.03 tff(4045,plain,
% 0.80/1.03 (((~![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)))),
% 0.80/1.03 inference(rewrite,[status(thm)],[])).
% 0.80/1.03 tff(4046,plain,
% 0.80/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27)))),
% 0.80/1.03 inference(quant_inst,[status(thm)],[])).
% 0.80/1.03 tff(4047,plain,
% 0.80/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27))),
% 0.80/1.03 inference(modus_ponens,[status(thm)],[4046, 4045])).
% 0.80/1.03 tff(4048,plain,
% 0.80/1.03 (until2p7(s28) | (~xuntil2p8(s27))),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4047, 286, 3066])).
% 0.80/1.03 tff(4049,plain,
% 0.80/1.03 (~xuntil2p8(s27)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4048, 4044])).
% 0.80/1.03 tff(4050,assumption,(node4(s27)), introduced(assumption)).
% 0.80/1.03 tff(4051,plain,
% 0.80/1.03 (((~![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)))),
% 0.80/1.03 inference(rewrite,[status(thm)],[])).
% 0.80/1.03 tff(4052,plain,
% 0.80/1.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s27) | (~node4(s27)))),
% 0.80/1.03 inference(quant_inst,[status(thm)],[])).
% 0.80/1.03 tff(4053,plain,
% 0.80/1.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s27) | (~node4(s27))),
% 0.80/1.03 inference(modus_ponens,[status(thm)],[4052, 4051])).
% 0.80/1.03 tff(4054,plain,
% 0.80/1.03 (m_main_v_request(s27)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4053, 3141, 4050])).
% 0.80/1.03 tff(4055,plain,
% 0.80/1.03 (always3(s27)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[1752, 595, 4050])).
% 0.80/1.03 tff(4056,plain,
% 0.80/1.03 (always3(s28)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[294, 4055])).
% 0.80/1.03 tff(4057,plain,
% 0.80/1.03 (((~![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)))),
% 0.80/1.03 inference(rewrite,[status(thm)],[])).
% 0.80/1.03 tff(4058,plain,
% 0.80/1.03 (((~m_main_v_state(s28, c_busy)) | (~always3(s28))) <=> ((~always3(s28)) | (~m_main_v_state(s28, c_busy)))),
% 0.80/1.03 inference(rewrite,[status(thm)],[])).
% 0.80/1.03 tff(4059,plain,
% 0.80/1.03 (((~![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))))),
% 0.80/1.03 inference(monotonicity,[status(thm)],[4058])).
% 0.80/1.03 tff(4060,plain,
% 0.80/1.03 (((~![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)))),
% 0.80/1.03 inference(transitivity,[status(thm)],[4059, 4057])).
% 0.80/1.03 tff(4061,plain,
% 0.80/1.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s28, c_busy)) | (~always3(s28)))),
% 0.80/1.03 inference(quant_inst,[status(thm)],[])).
% 0.80/1.03 tff(4062,plain,
% 0.80/1.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s28)) | (~m_main_v_state(s28, c_busy))),
% 0.80/1.03 inference(modus_ponens,[status(thm)],[4061, 4060])).
% 0.80/1.03 tff(4063,plain,
% 0.80/1.03 (~m_main_v_state(s28, c_busy)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4062, 3154, 4056])).
% 0.80/1.03 tff(4064,plain,
% 0.80/1.03 (((~![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))),
% 0.80/1.03 inference(rewrite,[status(thm)],[])).
% 0.80/1.03 tff(4065,plain,
% 0.80/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s27, s28)) | node2(s27, s28))),
% 0.80/1.03 inference(quant_inst,[status(thm)],[])).
% 0.80/1.03 tff(4066,plain,
% 0.80/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s27, s28)) | node2(s27, s28)),
% 0.80/1.03 inference(modus_ponens,[status(thm)],[4065, 4064])).
% 0.80/1.03 tff(4067,plain,
% 0.80/1.03 (node2(s27, s28)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4066, 7, 290])).
% 0.80/1.03 tff(4068,plain,
% 0.80/1.03 (((~![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(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)))),
% 0.80/1.03 inference(rewrite,[status(thm)],[])).
% 0.80/1.03 tff(4069,plain,
% 0.80/1.03 ((~![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(s27, c_ready)) | (~node2(s27, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27)))),
% 0.80/1.03 inference(quant_inst,[status(thm)],[])).
% 0.80/1.03 tff(4070,plain,
% 0.80/1.03 ((~![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(s27, c_ready)) | (~node2(s27, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27))),
% 0.80/1.03 inference(modus_ponens,[status(thm)],[4069, 4068])).
% 0.80/1.03 tff(4071,plain,
% 0.80/1.03 ((~m_main_v_state(s27, c_ready)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27))),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4070, 3175, 4067])).
% 0.80/1.03 tff(4072,plain,
% 0.80/1.03 (~m_main_v_state(s27, c_ready)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4071, 4063, 4054])).
% 0.80/1.03 tff(4073,plain,
% 0.80/1.03 (((~![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)))),
% 0.80/1.03 inference(rewrite,[status(thm)],[])).
% 0.80/1.03 tff(4074,plain,
% 0.80/1.03 (((~m_main_v_state(s27, c_busy)) | (~always3(s27))) <=> ((~always3(s27)) | (~m_main_v_state(s27, c_busy)))),
% 0.80/1.03 inference(rewrite,[status(thm)],[])).
% 0.80/1.03 tff(4075,plain,
% 0.80/1.03 (((~![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))))),
% 0.80/1.03 inference(monotonicity,[status(thm)],[4074])).
% 0.80/1.03 tff(4076,plain,
% 0.80/1.03 (((~![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)))),
% 0.80/1.03 inference(transitivity,[status(thm)],[4075, 4073])).
% 0.80/1.03 tff(4077,plain,
% 0.80/1.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s27, c_busy)) | (~always3(s27)))),
% 0.80/1.03 inference(quant_inst,[status(thm)],[])).
% 0.80/1.03 tff(4078,plain,
% 0.80/1.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s27)) | (~m_main_v_state(s27, c_busy))),
% 0.80/1.03 inference(modus_ponens,[status(thm)],[4077, 4076])).
% 0.80/1.03 tff(4079,plain,
% 0.80/1.03 (~m_main_v_state(s27, c_busy)),
% 0.80/1.03 inference(unit_resolution,[status(thm)],[4078, 3154, 4055])).
% 0.80/1.03 tff(4080,plain,
% 0.80/1.03 (((~![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))),
% 0.80/1.03 inference(rewrite,[status(thm)],[])).
% 0.80/1.03 tff(4081,plain,
% 0.80/1.03 ((~![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))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4082,plain,
% 0.87/1.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s27, c_busy) | m_main_v_state(s27, c_ready)),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4081, 4080])).
% 0.87/1.03 tff(4083,plain,
% 0.87/1.03 ($false),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4082, 19, 4079, 4072])).
% 0.87/1.03 tff(4084,plain,(~node4(s27)), inference(lemma,lemma(discharge,[]))).
% 0.87/1.03 tff(4085,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4086,plain,
% 0.87/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s27) | xuntil2p8(s27) | (~until2p7(s27)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4087,plain,
% 0.87/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s27) | xuntil2p8(s27) | (~until2p7(s27))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4086, 4085])).
% 0.87/1.03 tff(4088,plain,
% 0.87/1.03 (xuntil2p8(s27) | (~until2p7(s27))),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4087, 3051, 4084])).
% 0.87/1.03 tff(4089,plain,
% 0.87/1.03 (~until2p7(s27)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4088, 4049])).
% 0.87/1.03 tff(4090,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4091,plain,
% 0.87/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4092,plain,
% 0.87/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4091, 4090])).
% 0.87/1.03 tff(4093,plain,
% 0.87/1.03 (until2p7(s27) | (~xuntil2p8(s26))),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4092, 298, 3066])).
% 0.87/1.03 tff(4094,plain,
% 0.87/1.03 (~xuntil2p8(s26)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4093, 4089])).
% 0.87/1.03 tff(4095,plain,
% 0.87/1.03 (~always3(s27)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[294, 4038])).
% 0.87/1.03 tff(4096,plain,
% 0.87/1.03 (~always3(s26)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[306, 4095])).
% 0.87/1.03 tff(4097,plain,
% 0.87/1.03 (~node4(s26)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[1770, 595, 4096])).
% 0.87/1.03 tff(4098,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4099,plain,
% 0.87/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s26) | xuntil2p8(s26) | (~until2p7(s26)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4100,plain,
% 0.87/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s26) | xuntil2p8(s26) | (~until2p7(s26))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4099, 4098])).
% 0.87/1.03 tff(4101,plain,
% 0.87/1.03 (xuntil2p8(s26) | (~until2p7(s26))),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4100, 3051, 4097])).
% 0.87/1.03 tff(4102,plain,
% 0.87/1.03 (~until2p7(s26)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4101, 4094])).
% 0.87/1.03 tff(4103,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4104,plain,
% 0.87/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4105,plain,
% 0.87/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4104, 4103])).
% 0.87/1.03 tff(4106,plain,
% 0.87/1.03 (until2p7(s26) | (~xuntil2p8(s25))),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4105, 310, 3066])).
% 0.87/1.03 tff(4107,plain,
% 0.87/1.03 (~xuntil2p8(s25)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4106, 4102])).
% 0.87/1.03 tff(4108,plain,
% 0.87/1.03 (~always3(s25)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[318, 4096])).
% 0.87/1.03 tff(4109,plain,
% 0.87/1.03 (~node4(s25)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[1788, 595, 4108])).
% 0.87/1.03 tff(4110,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4111,plain,
% 0.87/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s25) | xuntil2p8(s25) | (~until2p7(s25)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4112,plain,
% 0.87/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s25) | xuntil2p8(s25) | (~until2p7(s25))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4111, 4110])).
% 0.87/1.03 tff(4113,plain,
% 0.87/1.03 (xuntil2p8(s25) | (~until2p7(s25))),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4112, 3051, 4109])).
% 0.87/1.03 tff(4114,plain,
% 0.87/1.03 (~until2p7(s25)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4113, 4107])).
% 0.87/1.03 tff(4115,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4116,plain,
% 0.87/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4117,plain,
% 0.87/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4116, 4115])).
% 0.87/1.03 tff(4118,plain,
% 0.87/1.03 (until2p7(s25) | (~xuntil2p8(s24))),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4117, 322, 3066])).
% 0.87/1.03 tff(4119,plain,
% 0.87/1.03 (~xuntil2p8(s24)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4118, 4114])).
% 0.87/1.03 tff(4120,plain,
% 0.87/1.03 (~always3(s24)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[330, 4108])).
% 0.87/1.03 tff(4121,plain,
% 0.87/1.03 (~node4(s24)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[1806, 595, 4120])).
% 0.87/1.03 tff(4122,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4123,plain,
% 0.87/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s24) | xuntil2p8(s24) | (~until2p7(s24)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4124,plain,
% 0.87/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s24) | xuntil2p8(s24) | (~until2p7(s24))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4123, 4122])).
% 0.87/1.03 tff(4125,plain,
% 0.87/1.03 (xuntil2p8(s24) | (~until2p7(s24))),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4124, 3051, 4121])).
% 0.87/1.03 tff(4126,plain,
% 0.87/1.03 (~until2p7(s24)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4125, 4119])).
% 0.87/1.03 tff(4127,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4128,plain,
% 0.87/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4129,plain,
% 0.87/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4128, 4127])).
% 0.87/1.03 tff(4130,plain,
% 0.87/1.03 (until2p7(s24) | (~xuntil2p8(s23))),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4129, 334, 3066])).
% 0.87/1.03 tff(4131,plain,
% 0.87/1.03 (~xuntil2p8(s23)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4130, 4126])).
% 0.87/1.03 tff(4132,assumption,(node4(s23)), introduced(assumption)).
% 0.87/1.03 tff(4133,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4134,plain,
% 0.87/1.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s23) | (~node4(s23)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4135,plain,
% 0.87/1.03 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s23) | (~node4(s23))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4134, 4133])).
% 0.87/1.03 tff(4136,plain,
% 0.87/1.03 (m_main_v_request(s23)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4135, 3141, 4132])).
% 0.87/1.03 tff(4137,plain,
% 0.87/1.03 (always3(s23)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[1824, 595, 4132])).
% 0.87/1.03 tff(4138,plain,
% 0.87/1.03 (always3(s24)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[342, 4137])).
% 0.87/1.03 tff(4139,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4140,plain,
% 0.87/1.03 (((~m_main_v_state(s24, c_busy)) | (~always3(s24))) <=> ((~always3(s24)) | (~m_main_v_state(s24, c_busy)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4141,plain,
% 0.87/1.03 (((~![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))))),
% 0.87/1.03 inference(monotonicity,[status(thm)],[4140])).
% 0.87/1.03 tff(4142,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(transitivity,[status(thm)],[4141, 4139])).
% 0.87/1.03 tff(4143,plain,
% 0.87/1.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s24, c_busy)) | (~always3(s24)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4144,plain,
% 0.87/1.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s24)) | (~m_main_v_state(s24, c_busy))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4143, 4142])).
% 0.87/1.03 tff(4145,plain,
% 0.87/1.03 (~m_main_v_state(s24, c_busy)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4144, 3154, 4138])).
% 0.87/1.03 tff(4146,plain,
% 0.87/1.03 (((~![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))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4147,plain,
% 0.87/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s23, s24)) | node2(s23, s24))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4148,plain,
% 0.87/1.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s23, s24)) | node2(s23, s24)),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4147, 4146])).
% 0.87/1.03 tff(4149,plain,
% 0.87/1.03 (node2(s23, s24)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4148, 7, 338])).
% 0.87/1.03 tff(4150,plain,
% 0.87/1.03 (((~![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(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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4151,plain,
% 0.87/1.03 ((~![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(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4152,plain,
% 0.87/1.03 ((~![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(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4151, 4150])).
% 0.87/1.03 tff(4153,plain,
% 0.87/1.03 ((~m_main_v_state(s23, c_ready)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23))),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4152, 3175, 4149])).
% 0.87/1.03 tff(4154,plain,
% 0.87/1.03 (~m_main_v_state(s23, c_ready)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4153, 4145, 4136])).
% 0.87/1.03 tff(4155,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4156,plain,
% 0.87/1.03 (((~m_main_v_state(s23, c_busy)) | (~always3(s23))) <=> ((~always3(s23)) | (~m_main_v_state(s23, c_busy)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4157,plain,
% 0.87/1.03 (((~![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))))),
% 0.87/1.03 inference(monotonicity,[status(thm)],[4156])).
% 0.87/1.03 tff(4158,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(transitivity,[status(thm)],[4157, 4155])).
% 0.87/1.03 tff(4159,plain,
% 0.87/1.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s23, c_busy)) | (~always3(s23)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4160,plain,
% 0.87/1.03 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s23)) | (~m_main_v_state(s23, c_busy))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4159, 4158])).
% 0.87/1.03 tff(4161,plain,
% 0.87/1.03 (~m_main_v_state(s23, c_busy)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4160, 3154, 4137])).
% 0.87/1.03 tff(4162,plain,
% 0.87/1.03 (((~![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))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4163,plain,
% 0.87/1.03 ((~![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))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4164,plain,
% 0.87/1.03 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s23, c_busy) | m_main_v_state(s23, c_ready)),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4163, 4162])).
% 0.87/1.03 tff(4165,plain,
% 0.87/1.03 ($false),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4164, 19, 4161, 4154])).
% 0.87/1.03 tff(4166,plain,(~node4(s23)), inference(lemma,lemma(discharge,[]))).
% 0.87/1.03 tff(4167,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4168,plain,
% 0.87/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s23) | xuntil2p8(s23) | (~until2p7(s23)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4169,plain,
% 0.87/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s23) | xuntil2p8(s23) | (~until2p7(s23))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4168, 4167])).
% 0.87/1.03 tff(4170,plain,
% 0.87/1.03 (xuntil2p8(s23) | (~until2p7(s23))),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4169, 3051, 4166])).
% 0.87/1.03 tff(4171,plain,
% 0.87/1.03 (~until2p7(s23)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4170, 4131])).
% 0.87/1.03 tff(4172,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4173,plain,
% 0.87/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4174,plain,
% 0.87/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4173, 4172])).
% 0.87/1.03 tff(4175,plain,
% 0.87/1.03 (until2p7(s23) | (~xuntil2p8(s22))),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4174, 346, 3066])).
% 0.87/1.03 tff(4176,plain,
% 0.87/1.03 (~xuntil2p8(s22)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4175, 4171])).
% 0.87/1.03 tff(4177,plain,
% 0.87/1.03 (~always3(s23)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[342, 4120])).
% 0.87/1.03 tff(4178,plain,
% 0.87/1.03 (~always3(s22)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[354, 4177])).
% 0.87/1.03 tff(4179,plain,
% 0.87/1.03 (~node4(s22)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[1842, 595, 4178])).
% 0.87/1.03 tff(4180,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4181,plain,
% 0.87/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s22) | xuntil2p8(s22) | (~until2p7(s22)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4182,plain,
% 0.87/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s22) | xuntil2p8(s22) | (~until2p7(s22))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4181, 4180])).
% 0.87/1.03 tff(4183,plain,
% 0.87/1.03 (xuntil2p8(s22) | (~until2p7(s22))),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4182, 3051, 4179])).
% 0.87/1.03 tff(4184,plain,
% 0.87/1.03 (~until2p7(s22)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4183, 4176])).
% 0.87/1.03 tff(4185,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4186,plain,
% 0.87/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4187,plain,
% 0.87/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4186, 4185])).
% 0.87/1.03 tff(4188,plain,
% 0.87/1.03 (until2p7(s22) | (~xuntil2p8(s21))),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4187, 358, 3066])).
% 0.87/1.03 tff(4189,plain,
% 0.87/1.03 (~xuntil2p8(s21)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4188, 4184])).
% 0.87/1.03 tff(4190,plain,
% 0.87/1.03 (~always3(s21)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[366, 4178])).
% 0.87/1.03 tff(4191,plain,
% 0.87/1.03 (~node4(s21)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[1860, 595, 4190])).
% 0.87/1.03 tff(4192,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4193,plain,
% 0.87/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s21) | xuntil2p8(s21) | (~until2p7(s21)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4194,plain,
% 0.87/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s21) | xuntil2p8(s21) | (~until2p7(s21))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4193, 4192])).
% 0.87/1.03 tff(4195,plain,
% 0.87/1.03 (xuntil2p8(s21) | (~until2p7(s21))),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4194, 3051, 4191])).
% 0.87/1.03 tff(4196,plain,
% 0.87/1.03 (~until2p7(s21)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4195, 4189])).
% 0.87/1.03 tff(4197,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4198,plain,
% 0.87/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4199,plain,
% 0.87/1.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4198, 4197])).
% 0.87/1.03 tff(4200,plain,
% 0.87/1.03 (until2p7(s21) | (~xuntil2p8(s20))),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4199, 370, 3066])).
% 0.87/1.03 tff(4201,plain,
% 0.87/1.03 (~xuntil2p8(s20)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4200, 4196])).
% 0.87/1.03 tff(4202,plain,
% 0.87/1.03 (~always3(s20)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[378, 4190])).
% 0.87/1.03 tff(4203,plain,
% 0.87/1.03 (~node4(s20)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[1878, 595, 4202])).
% 0.87/1.03 tff(4204,plain,
% 0.87/1.03 (((~![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)))),
% 0.87/1.03 inference(rewrite,[status(thm)],[])).
% 0.87/1.03 tff(4205,plain,
% 0.87/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s20) | xuntil2p8(s20) | (~until2p7(s20)))),
% 0.87/1.03 inference(quant_inst,[status(thm)],[])).
% 0.87/1.03 tff(4206,plain,
% 0.87/1.03 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s20) | xuntil2p8(s20) | (~until2p7(s20))),
% 0.87/1.03 inference(modus_ponens,[status(thm)],[4205, 4204])).
% 0.87/1.03 tff(4207,plain,
% 0.87/1.03 (xuntil2p8(s20) | (~until2p7(s20))),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4206, 3051, 4203])).
% 0.87/1.03 tff(4208,plain,
% 0.87/1.03 (~until2p7(s20)),
% 0.87/1.03 inference(unit_resolution,[status(thm)],[4207, 4201])).
% 0.87/1.04 tff(4209,plain,
% 0.87/1.04 (((~![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)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4210,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19)))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4211,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4210, 4209])).
% 0.87/1.04 tff(4212,plain,
% 0.87/1.04 (until2p7(s20) | (~xuntil2p8(s19))),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4211, 382, 3066])).
% 0.87/1.04 tff(4213,plain,
% 0.87/1.04 (~xuntil2p8(s19)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4212, 4208])).
% 0.87/1.04 tff(4214,plain,
% 0.87/1.04 (~always3(s19)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[390, 4202])).
% 0.87/1.04 tff(4215,plain,
% 0.87/1.04 (~node4(s19)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[1896, 595, 4214])).
% 0.87/1.04 tff(4216,plain,
% 0.87/1.04 (((~![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)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4217,plain,
% 0.87/1.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s19) | xuntil2p8(s19) | (~until2p7(s19)))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4218,plain,
% 0.87/1.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s19) | xuntil2p8(s19) | (~until2p7(s19))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4217, 4216])).
% 0.87/1.04 tff(4219,plain,
% 0.87/1.04 (xuntil2p8(s19) | (~until2p7(s19))),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4218, 3051, 4215])).
% 0.87/1.04 tff(4220,plain,
% 0.87/1.04 (~until2p7(s19)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4219, 4213])).
% 0.87/1.04 tff(4221,plain,
% 0.87/1.04 (((~![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)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4222,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18)))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4223,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4222, 4221])).
% 0.87/1.04 tff(4224,plain,
% 0.87/1.04 (until2p7(s19) | (~xuntil2p8(s18))),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4223, 394, 3066])).
% 0.87/1.04 tff(4225,plain,
% 0.87/1.04 (~xuntil2p8(s18)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4224, 4220])).
% 0.87/1.04 tff(4226,plain,
% 0.87/1.04 (~always3(s18)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[402, 4214])).
% 0.87/1.04 tff(4227,plain,
% 0.87/1.04 (~node4(s18)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[1914, 595, 4226])).
% 0.87/1.04 tff(4228,plain,
% 0.87/1.04 (((~![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)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4229,plain,
% 0.87/1.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s18) | xuntil2p8(s18) | (~until2p7(s18)))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4230,plain,
% 0.87/1.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s18) | xuntil2p8(s18) | (~until2p7(s18))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4229, 4228])).
% 0.87/1.04 tff(4231,plain,
% 0.87/1.04 (xuntil2p8(s18) | (~until2p7(s18))),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4230, 3051, 4227])).
% 0.87/1.04 tff(4232,plain,
% 0.87/1.04 (~until2p7(s18)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4231, 4225])).
% 0.87/1.04 tff(4233,plain,
% 0.87/1.04 (((~![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)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4234,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17)))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4235,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4234, 4233])).
% 0.87/1.04 tff(4236,plain,
% 0.87/1.04 (until2p7(s18) | (~xuntil2p8(s17))),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4235, 406, 3066])).
% 0.87/1.04 tff(4237,plain,
% 0.87/1.04 (~xuntil2p8(s17)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4236, 4232])).
% 0.87/1.04 tff(4238,plain,
% 0.87/1.04 (~always3(s17)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[414, 4226])).
% 0.87/1.04 tff(4239,plain,
% 0.87/1.04 (~node4(s17)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[2405, 595, 4238])).
% 0.87/1.04 tff(4240,plain,
% 0.87/1.04 (((~![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)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4241,plain,
% 0.87/1.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s17) | xuntil2p8(s17) | (~until2p7(s17)))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4242,plain,
% 0.87/1.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s17) | xuntil2p8(s17) | (~until2p7(s17))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4241, 4240])).
% 0.87/1.04 tff(4243,plain,
% 0.87/1.04 (xuntil2p8(s17) | (~until2p7(s17))),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4242, 3051, 4239])).
% 0.87/1.04 tff(4244,plain,
% 0.87/1.04 (~until2p7(s17)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4243, 4237])).
% 0.87/1.04 tff(4245,plain,
% 0.87/1.04 (((~![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)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4246,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16)))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4247,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4246, 4245])).
% 0.87/1.04 tff(4248,plain,
% 0.87/1.04 (until2p7(s17) | (~xuntil2p8(s16))),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4247, 418, 3066])).
% 0.87/1.04 tff(4249,plain,
% 0.87/1.04 (~xuntil2p8(s16)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4248, 4244])).
% 0.87/1.04 tff(4250,assumption,(node4(s16)), introduced(assumption)).
% 0.87/1.04 tff(4251,plain,
% 0.87/1.04 (((~![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)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4252,plain,
% 0.87/1.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s16) | (~node4(s16)))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4253,plain,
% 0.87/1.04 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s16) | (~node4(s16))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4252, 4251])).
% 0.87/1.04 tff(4254,plain,
% 0.87/1.04 (m_main_v_request(s16)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4253, 3141, 4250])).
% 0.87/1.04 tff(4255,plain,
% 0.87/1.04 (always3(s16)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[2388, 595, 4250])).
% 0.87/1.04 tff(4256,plain,
% 0.87/1.04 (always3(s17)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[426, 4255])).
% 0.87/1.04 tff(4257,plain,
% 0.87/1.04 (((~![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)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4258,plain,
% 0.87/1.04 (((~m_main_v_state(s17, c_busy)) | (~always3(s17))) <=> ((~always3(s17)) | (~m_main_v_state(s17, c_busy)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4259,plain,
% 0.87/1.04 (((~![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))))),
% 0.87/1.04 inference(monotonicity,[status(thm)],[4258])).
% 0.87/1.04 tff(4260,plain,
% 0.87/1.04 (((~![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)))),
% 0.87/1.04 inference(transitivity,[status(thm)],[4259, 4257])).
% 0.87/1.04 tff(4261,plain,
% 0.87/1.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s17, c_busy)) | (~always3(s17)))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4262,plain,
% 0.87/1.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s17)) | (~m_main_v_state(s17, c_busy))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4261, 4260])).
% 0.87/1.04 tff(4263,plain,
% 0.87/1.04 (~m_main_v_state(s17, c_busy)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4262, 3154, 4256])).
% 0.87/1.04 tff(4264,plain,
% 0.87/1.04 (((~![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))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4265,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s16, s17)) | node2(s16, s17))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4266,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s16, s17)) | node2(s16, s17)),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4265, 4264])).
% 0.87/1.04 tff(4267,plain,
% 0.87/1.04 (node2(s16, s17)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4266, 7, 422])).
% 0.87/1.04 tff(4268,plain,
% 0.87/1.04 (((~![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(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)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4269,plain,
% 0.87/1.04 ((~![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(s16, c_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16)))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4270,plain,
% 0.87/1.04 ((~![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(s16, c_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4269, 4268])).
% 0.87/1.04 tff(4271,plain,
% 0.87/1.04 ((~m_main_v_state(s16, c_ready)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16))),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4270, 3175, 4267])).
% 0.87/1.04 tff(4272,plain,
% 0.87/1.04 (~m_main_v_state(s16, c_ready)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4271, 4263, 4254])).
% 0.87/1.04 tff(4273,plain,
% 0.87/1.04 (((~![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)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4274,plain,
% 0.87/1.04 (((~m_main_v_state(s16, c_busy)) | (~always3(s16))) <=> ((~always3(s16)) | (~m_main_v_state(s16, c_busy)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4275,plain,
% 0.87/1.04 (((~![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))))),
% 0.87/1.04 inference(monotonicity,[status(thm)],[4274])).
% 0.87/1.04 tff(4276,plain,
% 0.87/1.04 (((~![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)))),
% 0.87/1.04 inference(transitivity,[status(thm)],[4275, 4273])).
% 0.87/1.04 tff(4277,plain,
% 0.87/1.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s16, c_busy)) | (~always3(s16)))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4278,plain,
% 0.87/1.04 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s16)) | (~m_main_v_state(s16, c_busy))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4277, 4276])).
% 0.87/1.04 tff(4279,plain,
% 0.87/1.04 (~m_main_v_state(s16, c_busy)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4278, 3154, 4255])).
% 0.87/1.04 tff(4280,plain,
% 0.87/1.04 (((~![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))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4281,plain,
% 0.87/1.04 ((~![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))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4282,plain,
% 0.87/1.04 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s16, c_busy) | m_main_v_state(s16, c_ready)),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4281, 4280])).
% 0.87/1.04 tff(4283,plain,
% 0.87/1.04 ($false),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4282, 19, 4279, 4272])).
% 0.87/1.04 tff(4284,plain,(~node4(s16)), inference(lemma,lemma(discharge,[]))).
% 0.87/1.04 tff(4285,plain,
% 0.87/1.04 (((~![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)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4286,plain,
% 0.87/1.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s16) | xuntil2p8(s16) | (~until2p7(s16)))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4287,plain,
% 0.87/1.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s16) | xuntil2p8(s16) | (~until2p7(s16))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4286, 4285])).
% 0.87/1.04 tff(4288,plain,
% 0.87/1.04 (xuntil2p8(s16) | (~until2p7(s16))),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4287, 3051, 4284])).
% 0.87/1.04 tff(4289,plain,
% 0.87/1.04 (~until2p7(s16)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4288, 4249])).
% 0.87/1.04 tff(4290,plain,
% 0.87/1.04 (((~![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)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4291,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15)))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4292,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4291, 4290])).
% 0.87/1.04 tff(4293,plain,
% 0.87/1.04 (until2p7(s16) | (~xuntil2p8(s15))),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4292, 430, 3066])).
% 0.87/1.04 tff(4294,plain,
% 0.87/1.04 (~xuntil2p8(s15)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4293, 4289])).
% 0.87/1.04 tff(4295,plain,
% 0.87/1.04 (~always3(s16)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[426, 4238])).
% 0.87/1.04 tff(4296,plain,
% 0.87/1.04 (~always3(s15)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[438, 4295])).
% 0.87/1.04 tff(4297,plain,
% 0.87/1.04 (~node4(s15)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[2371, 595, 4296])).
% 0.87/1.04 tff(4298,plain,
% 0.87/1.04 (((~![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)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4299,plain,
% 0.87/1.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s15) | xuntil2p8(s15) | (~until2p7(s15)))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4300,plain,
% 0.87/1.04 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s15) | xuntil2p8(s15) | (~until2p7(s15))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4299, 4298])).
% 0.87/1.04 tff(4301,plain,
% 0.87/1.04 (xuntil2p8(s15) | (~until2p7(s15))),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4300, 3051, 4297])).
% 0.87/1.04 tff(4302,plain,
% 0.87/1.04 (~until2p7(s15)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4301, 4294])).
% 0.87/1.04 tff(4303,assumption,(xuntil6(s99)), introduced(assumption)).
% 0.87/1.04 tff(4304,assumption,(~until2p7(s15)), introduced(assumption)).
% 0.87/1.04 tff(4305,assumption,(trans(s99, s15)), introduced(assumption)).
% 0.87/1.04 tff(4306,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s15) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s15)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4307,plain,
% 0.87/1.04 (((~trans(s99, s15)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s15)) <=> (until2p7(s15) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s15)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4308,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s15)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s15) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s15))))),
% 0.87/1.04 inference(monotonicity,[status(thm)],[4307])).
% 0.87/1.04 tff(4309,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s15)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s15)))),
% 0.87/1.04 inference(transitivity,[status(thm)],[4308, 4306])).
% 0.87/1.04 tff(4310,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s15)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s15))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4311,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s15))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4310, 4309])).
% 0.87/1.04 tff(4312,plain,
% 0.87/1.04 ($false),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4311, 3037, 4305, 3085, 4304, 4303])).
% 0.87/1.04 tff(4313,plain,((~trans(s99, s15)) | until2p7(s15) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.04 tff(4314,plain,
% 0.87/1.04 (~trans(s99, s15)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4313, 4302, 3026])).
% 0.87/1.04 tff(4315,assumption,(~until2p7(s88)), introduced(assumption)).
% 0.87/1.04 tff(4316,assumption,(trans(s99, s88)), introduced(assumption)).
% 0.87/1.04 tff(4317,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s88) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s88)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s88) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s88)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4318,plain,
% 0.87/1.04 (((~trans(s99, s88)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s88)) <=> (until2p7(s88) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s88)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4319,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s88)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s88) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s88))))),
% 0.87/1.04 inference(monotonicity,[status(thm)],[4318])).
% 0.87/1.04 tff(4320,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s88)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s88) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s88)))),
% 0.87/1.04 inference(transitivity,[status(thm)],[4319, 4317])).
% 0.87/1.04 tff(4321,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s88)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s88))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4322,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s88) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s88))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4321, 4320])).
% 0.87/1.04 tff(4323,plain,
% 0.87/1.04 ($false),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4322, 3037, 4316, 3085, 4315, 4303])).
% 0.87/1.04 tff(4324,plain,((~trans(s99, s88)) | until2p7(s88) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.04 tff(4325,plain,
% 0.87/1.04 (~trans(s99, s88)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4324, 3256, 3026])).
% 0.87/1.04 tff(4326,assumption,(~until2p7(s91)), introduced(assumption)).
% 0.87/1.04 tff(4327,assumption,(trans(s99, s91)), introduced(assumption)).
% 0.87/1.04 tff(4328,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s91) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s91)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s91) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s91)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4329,plain,
% 0.87/1.04 (((~trans(s99, s91)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s91)) <=> (until2p7(s91) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s91)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4330,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s91)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s91) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s91))))),
% 0.87/1.04 inference(monotonicity,[status(thm)],[4329])).
% 0.87/1.04 tff(4331,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s91)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s91) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s91)))),
% 0.87/1.04 inference(transitivity,[status(thm)],[4330, 4328])).
% 0.87/1.04 tff(4332,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s91)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s91))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4333,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s91) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s91))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4332, 4331])).
% 0.87/1.04 tff(4334,plain,
% 0.87/1.04 ($false),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4333, 3037, 4327, 3085, 4326, 4303])).
% 0.87/1.04 tff(4335,plain,((~trans(s99, s91)) | until2p7(s91) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.04 tff(4336,plain,
% 0.87/1.04 (~trans(s99, s91)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4335, 3220, 3026])).
% 0.87/1.04 tff(4337,assumption,(~until2p7(s39)), introduced(assumption)).
% 0.87/1.04 tff(4338,assumption,(trans(s99, s39)), introduced(assumption)).
% 0.87/1.04 tff(4339,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s39) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s39)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4340,plain,
% 0.87/1.04 (((~trans(s99, s39)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s39)) <=> (until2p7(s39) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s39)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4341,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s39)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s39) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s39))))),
% 0.87/1.04 inference(monotonicity,[status(thm)],[4340])).
% 0.87/1.04 tff(4342,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s39)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s39)))),
% 0.87/1.04 inference(transitivity,[status(thm)],[4341, 4339])).
% 0.87/1.04 tff(4343,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s39)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s39))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4344,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s39))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4343, 4342])).
% 0.87/1.04 tff(4345,plain,
% 0.87/1.04 ($false),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4344, 3037, 4338, 3085, 4337, 4303])).
% 0.87/1.04 tff(4346,plain,((~trans(s99, s39)) | until2p7(s39) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.04 tff(4347,plain,
% 0.87/1.04 (~trans(s99, s39)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4346, 3844, 3026])).
% 0.87/1.04 tff(4348,assumption,(~until2p7(s58)), introduced(assumption)).
% 0.87/1.04 tff(4349,assumption,(trans(s99, s58)), introduced(assumption)).
% 0.87/1.04 tff(4350,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s58) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s58)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s58) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s58)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4351,plain,
% 0.87/1.04 (((~trans(s99, s58)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s58)) <=> (until2p7(s58) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s58)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4352,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s58)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s58) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s58))))),
% 0.87/1.04 inference(monotonicity,[status(thm)],[4351])).
% 0.87/1.04 tff(4353,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s58)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s58) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s58)))),
% 0.87/1.04 inference(transitivity,[status(thm)],[4352, 4350])).
% 0.87/1.04 tff(4354,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s58)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s58))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4355,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s58) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s58))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4354, 4353])).
% 0.87/1.04 tff(4356,plain,
% 0.87/1.04 ($false),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4355, 3037, 4349, 3085, 4348, 4303])).
% 0.87/1.04 tff(4357,plain,((~trans(s99, s58)) | until2p7(s58) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.04 tff(4358,plain,
% 0.87/1.04 (~trans(s99, s58)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4357, 3616, 3026])).
% 0.87/1.04 tff(4359,assumption,(~until2p7(s48)), introduced(assumption)).
% 0.87/1.04 tff(4360,assumption,(trans(s99, s48)), introduced(assumption)).
% 0.87/1.04 tff(4361,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s48) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s48)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4362,plain,
% 0.87/1.04 (((~trans(s99, s48)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s48)) <=> (until2p7(s48) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s48)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4363,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s48)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s48) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s48))))),
% 0.87/1.04 inference(monotonicity,[status(thm)],[4362])).
% 0.87/1.04 tff(4364,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s48)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s48)))),
% 0.87/1.04 inference(transitivity,[status(thm)],[4363, 4361])).
% 0.87/1.04 tff(4365,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s48)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s48))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4366,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s48))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4365, 4364])).
% 0.87/1.04 tff(4367,plain,
% 0.87/1.04 ($false),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4366, 3037, 4360, 3085, 4359, 4303])).
% 0.87/1.04 tff(4368,plain,((~trans(s99, s48)) | until2p7(s48) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.04 tff(4369,plain,
% 0.87/1.04 (~trans(s99, s48)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4368, 3736, 3026])).
% 0.87/1.04 tff(4370,assumption,(~until2p7(s84)), introduced(assumption)).
% 0.87/1.04 tff(4371,assumption,(trans(s99, s84)), introduced(assumption)).
% 0.87/1.04 tff(4372,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s84) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s84)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s84) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s84)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4373,plain,
% 0.87/1.04 (((~trans(s99, s84)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s84)) <=> (until2p7(s84) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s84)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4374,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s84)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s84) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s84))))),
% 0.87/1.04 inference(monotonicity,[status(thm)],[4373])).
% 0.87/1.04 tff(4375,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s84)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s84) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s84)))),
% 0.87/1.04 inference(transitivity,[status(thm)],[4374, 4372])).
% 0.87/1.04 tff(4376,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s84)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s84))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4377,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s84) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s84))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4376, 4375])).
% 0.87/1.04 tff(4378,plain,
% 0.87/1.04 ($false),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4377, 3037, 4371, 3085, 4370, 4303])).
% 0.87/1.04 tff(4379,plain,((~trans(s99, s84)) | until2p7(s84) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.04 tff(4380,plain,
% 0.87/1.04 (~trans(s99, s84)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4379, 3304, 3026])).
% 0.87/1.04 tff(4381,assumption,(~until2p7(s41)), introduced(assumption)).
% 0.87/1.04 tff(4382,assumption,(trans(s99, s41)), introduced(assumption)).
% 0.87/1.04 tff(4383,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s41) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s41)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4384,plain,
% 0.87/1.04 (((~trans(s99, s41)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s41)) <=> (until2p7(s41) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s41)))),
% 0.87/1.04 inference(rewrite,[status(thm)],[])).
% 0.87/1.04 tff(4385,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s41)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s41) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s41))))),
% 0.87/1.04 inference(monotonicity,[status(thm)],[4384])).
% 0.87/1.04 tff(4386,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s41)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s41)))),
% 0.87/1.04 inference(transitivity,[status(thm)],[4385, 4383])).
% 0.87/1.04 tff(4387,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s41)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s41))),
% 0.87/1.04 inference(quant_inst,[status(thm)],[])).
% 0.87/1.04 tff(4388,plain,
% 0.87/1.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s41))),
% 0.87/1.04 inference(modus_ponens,[status(thm)],[4387, 4386])).
% 0.87/1.04 tff(4389,plain,
% 0.87/1.04 ($false),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4388, 3037, 4382, 3085, 4381, 4303])).
% 0.87/1.04 tff(4390,plain,((~trans(s99, s41)) | until2p7(s41) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.04 tff(4391,plain,
% 0.87/1.04 (~trans(s99, s41)),
% 0.87/1.04 inference(unit_resolution,[status(thm)],[4390, 3820, 3026])).
% 0.87/1.04 tff(4392,assumption,(~until2p7(s54)), introduced(assumption)).
% 0.87/1.04 tff(4393,assumption,(trans(s99, s54)), introduced(assumption)).
% 0.87/1.04 tff(4394,plain,
% 0.87/1.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s54) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s54)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s54) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s54)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4395,plain,
% 0.87/1.05 (((~trans(s99, s54)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s54)) <=> (until2p7(s54) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s54)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4396,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s54)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s54) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s54))))),
% 0.87/1.05 inference(monotonicity,[status(thm)],[4395])).
% 0.87/1.05 tff(4397,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s54)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s54) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s54)))),
% 0.87/1.05 inference(transitivity,[status(thm)],[4396, 4394])).
% 0.87/1.05 tff(4398,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s54)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s54))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4399,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s54) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s54))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4398, 4397])).
% 0.87/1.05 tff(4400,plain,
% 0.87/1.05 ($false),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4399, 3037, 4393, 3085, 4392, 4303])).
% 0.87/1.05 tff(4401,plain,((~trans(s99, s54)) | until2p7(s54) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.05 tff(4402,plain,
% 0.87/1.05 (~trans(s99, s54)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4401, 3664, 3026])).
% 0.87/1.05 tff(4403,assumption,(~until2p7(s19)), introduced(assumption)).
% 0.87/1.05 tff(4404,assumption,(trans(s99, s19)), introduced(assumption)).
% 0.87/1.05 tff(4405,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s19) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s19)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4406,plain,
% 0.87/1.05 (((~trans(s99, s19)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s19)) <=> (until2p7(s19) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s19)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4407,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s19)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s19) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s19))))),
% 0.87/1.05 inference(monotonicity,[status(thm)],[4406])).
% 0.87/1.05 tff(4408,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s19)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s19)))),
% 0.87/1.05 inference(transitivity,[status(thm)],[4407, 4405])).
% 0.87/1.05 tff(4409,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s19)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s19))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4410,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s19))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 0.87/1.05 tff(4411,plain,
% 0.87/1.05 ($false),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4410, 3037, 4404, 3085, 4403, 4303])).
% 0.87/1.05 tff(4412,plain,((~trans(s99, s19)) | until2p7(s19) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.05 tff(4413,plain,
% 0.87/1.05 (~trans(s99, s19)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4412, 4220, 3026])).
% 0.87/1.05 tff(4414,assumption,(~until2p7(s67)), introduced(assumption)).
% 0.87/1.05 tff(4415,assumption,(trans(s99, s67)), introduced(assumption)).
% 0.87/1.05 tff(4416,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s67) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s67)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s67) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s67)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4417,plain,
% 0.87/1.05 (((~trans(s99, s67)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s67)) <=> (until2p7(s67) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s67)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4418,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s67)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s67) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s67))))),
% 0.87/1.05 inference(monotonicity,[status(thm)],[4417])).
% 0.87/1.05 tff(4419,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s67)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s67) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s67)))),
% 0.87/1.05 inference(transitivity,[status(thm)],[4418, 4416])).
% 0.87/1.05 tff(4420,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s67)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s67))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4421,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s67) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s67))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4420, 4419])).
% 0.87/1.05 tff(4422,plain,
% 0.87/1.05 ($false),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4421, 3037, 4415, 3085, 4414, 4303])).
% 0.87/1.05 tff(4423,plain,((~trans(s99, s67)) | until2p7(s67) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.05 tff(4424,plain,
% 0.87/1.05 (~trans(s99, s67)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4423, 3508, 3026])).
% 0.87/1.05 tff(4425,assumption,(~until2p7(s85)), introduced(assumption)).
% 0.87/1.05 tff(4426,assumption,(trans(s99, s85)), introduced(assumption)).
% 0.87/1.05 tff(4427,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s85) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s85)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s85) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s85)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4428,plain,
% 0.87/1.05 (((~trans(s99, s85)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s85)) <=> (until2p7(s85) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s85)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4429,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s85)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s85) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s85))))),
% 0.87/1.05 inference(monotonicity,[status(thm)],[4428])).
% 0.87/1.05 tff(4430,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s85)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s85) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s85)))),
% 0.87/1.05 inference(transitivity,[status(thm)],[4429, 4427])).
% 0.87/1.05 tff(4431,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s85)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s85))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4432,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s85) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s85))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4431, 4430])).
% 0.87/1.05 tff(4433,plain,
% 0.87/1.05 ($false),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4432, 3037, 4426, 3085, 4425, 4303])).
% 0.87/1.05 tff(4434,plain,((~trans(s99, s85)) | until2p7(s85) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.05 tff(4435,plain,
% 0.87/1.05 (~trans(s99, s85)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4434, 3292, 3026])).
% 0.87/1.05 tff(4436,assumption,(~until2p7(s61)), introduced(assumption)).
% 0.87/1.05 tff(4437,assumption,(trans(s99, s61)), introduced(assumption)).
% 0.87/1.05 tff(4438,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s61) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s61)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s61)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4439,plain,
% 0.87/1.05 (((~trans(s99, s61)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s61)) <=> (until2p7(s61) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s61)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4440,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s61)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s61) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s61))))),
% 0.87/1.05 inference(monotonicity,[status(thm)],[4439])).
% 0.87/1.05 tff(4441,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s61)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s61)))),
% 0.87/1.05 inference(transitivity,[status(thm)],[4440, 4438])).
% 0.87/1.05 tff(4442,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s61)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s61))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4443,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s61))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4442, 4441])).
% 0.87/1.05 tff(4444,plain,
% 0.87/1.05 ($false),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4443, 3037, 4437, 3085, 4436, 4303])).
% 0.87/1.05 tff(4445,plain,((~trans(s99, s61)) | until2p7(s61) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.05 tff(4446,plain,
% 0.87/1.05 (~trans(s99, s61)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4445, 3580, 3026])).
% 0.87/1.05 tff(4447,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4448,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14)))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4449,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4448, 4447])).
% 0.87/1.05 tff(4450,plain,
% 0.87/1.05 (until2p7(s15) | (~xuntil2p8(s14))),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4449, 1934, 3066])).
% 0.87/1.05 tff(4451,plain,
% 0.87/1.05 (~xuntil2p8(s14)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4450, 4302])).
% 0.87/1.05 tff(4452,plain,
% 0.87/1.05 (~always3(s14)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[1942, 4296])).
% 0.87/1.05 tff(4453,plain,
% 0.87/1.05 (~node4(s14)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[2354, 595, 4452])).
% 0.87/1.05 tff(4454,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4455,plain,
% 0.87/1.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s14) | xuntil2p8(s14) | (~until2p7(s14)))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4456,plain,
% 0.87/1.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s14) | xuntil2p8(s14) | (~until2p7(s14))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4455, 4454])).
% 0.87/1.05 tff(4457,plain,
% 0.87/1.05 (xuntil2p8(s14) | (~until2p7(s14))),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4456, 3051, 4453])).
% 0.87/1.05 tff(4458,plain,
% 0.87/1.05 (~until2p7(s14)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4457, 4451])).
% 0.87/1.05 tff(4459,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4460,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13)))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4461,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4460, 4459])).
% 0.87/1.05 tff(4462,plain,
% 0.87/1.05 (until2p7(s14) | (~xuntil2p8(s13))),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4461, 1946, 3066])).
% 0.87/1.05 tff(4463,plain,
% 0.87/1.05 (~xuntil2p8(s13)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4462, 4458])).
% 0.87/1.05 tff(4464,assumption,(node4(s13)), introduced(assumption)).
% 0.87/1.05 tff(4465,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4466,plain,
% 0.87/1.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s13) | (~node4(s13)))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4467,plain,
% 0.87/1.05 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s13) | (~node4(s13))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4466, 4465])).
% 0.87/1.05 tff(4468,plain,
% 0.87/1.05 (m_main_v_request(s13)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4467, 3141, 4464])).
% 0.87/1.05 tff(4469,plain,
% 0.87/1.05 (always3(s13)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[2337, 595, 4464])).
% 0.87/1.05 tff(4470,plain,
% 0.87/1.05 (always3(s14)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[1954, 4469])).
% 0.87/1.05 tff(4471,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4472,plain,
% 0.87/1.05 (((~m_main_v_state(s14, c_busy)) | (~always3(s14))) <=> ((~always3(s14)) | (~m_main_v_state(s14, c_busy)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4473,plain,
% 0.87/1.05 (((~![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))))),
% 0.87/1.05 inference(monotonicity,[status(thm)],[4472])).
% 0.87/1.05 tff(4474,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(transitivity,[status(thm)],[4473, 4471])).
% 0.87/1.05 tff(4475,plain,
% 0.87/1.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s14, c_busy)) | (~always3(s14)))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4476,plain,
% 0.87/1.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s14)) | (~m_main_v_state(s14, c_busy))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4475, 4474])).
% 0.87/1.05 tff(4477,plain,
% 0.87/1.05 (~m_main_v_state(s14, c_busy)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4476, 3154, 4470])).
% 0.87/1.05 tff(4478,plain,
% 0.87/1.05 (((~![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))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4479,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s13, s14)) | node2(s13, s14))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4480,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s13, s14)) | node2(s13, s14)),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4479, 4478])).
% 0.87/1.05 tff(4481,plain,
% 0.87/1.05 (node2(s13, s14)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4480, 7, 1950])).
% 0.87/1.05 tff(4482,plain,
% 0.87/1.05 (((~![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(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)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4483,plain,
% 0.87/1.05 ((~![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(s13, c_ready)) | (~node2(s13, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13)))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4484,plain,
% 0.87/1.05 ((~![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(s13, c_ready)) | (~node2(s13, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4483, 4482])).
% 0.87/1.05 tff(4485,plain,
% 0.87/1.05 ((~m_main_v_state(s13, c_ready)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13))),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4484, 3175, 4481])).
% 0.87/1.05 tff(4486,plain,
% 0.87/1.05 (~m_main_v_state(s13, c_ready)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4485, 4477, 4468])).
% 0.87/1.05 tff(4487,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4488,plain,
% 0.87/1.05 (((~m_main_v_state(s13, c_busy)) | (~always3(s13))) <=> ((~always3(s13)) | (~m_main_v_state(s13, c_busy)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4489,plain,
% 0.87/1.05 (((~![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))))),
% 0.87/1.05 inference(monotonicity,[status(thm)],[4488])).
% 0.87/1.05 tff(4490,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(transitivity,[status(thm)],[4489, 4487])).
% 0.87/1.05 tff(4491,plain,
% 0.87/1.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s13, c_busy)) | (~always3(s13)))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4492,plain,
% 0.87/1.05 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s13)) | (~m_main_v_state(s13, c_busy))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4491, 4490])).
% 0.87/1.05 tff(4493,plain,
% 0.87/1.05 (~m_main_v_state(s13, c_busy)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4492, 3154, 4469])).
% 0.87/1.05 tff(4494,plain,
% 0.87/1.05 (((~![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))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4495,plain,
% 0.87/1.05 ((~![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))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4496,plain,
% 0.87/1.05 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s13, c_busy) | m_main_v_state(s13, c_ready)),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4495, 4494])).
% 0.87/1.05 tff(4497,plain,
% 0.87/1.05 ($false),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4496, 19, 4493, 4486])).
% 0.87/1.05 tff(4498,plain,(~node4(s13)), inference(lemma,lemma(discharge,[]))).
% 0.87/1.05 tff(4499,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4500,plain,
% 0.87/1.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s13) | xuntil2p8(s13) | (~until2p7(s13)))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4501,plain,
% 0.87/1.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s13) | xuntil2p8(s13) | (~until2p7(s13))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4500, 4499])).
% 0.87/1.05 tff(4502,plain,
% 0.87/1.05 (xuntil2p8(s13) | (~until2p7(s13))),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4501, 3051, 4498])).
% 0.87/1.05 tff(4503,plain,
% 0.87/1.05 (~until2p7(s13)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4502, 4463])).
% 0.87/1.05 tff(4504,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4505,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12)))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4506,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4505, 4504])).
% 0.87/1.05 tff(4507,plain,
% 0.87/1.05 (until2p7(s13) | (~xuntil2p8(s12))),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4506, 1958, 3066])).
% 0.87/1.05 tff(4508,plain,
% 0.87/1.05 (~xuntil2p8(s12)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4507, 4503])).
% 0.87/1.05 tff(4509,plain,
% 0.87/1.05 (~always3(s13)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[1954, 4452])).
% 0.87/1.05 tff(4510,plain,
% 0.87/1.05 (~always3(s12)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[1966, 4509])).
% 0.87/1.05 tff(4511,plain,
% 0.87/1.05 (~node4(s12)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[2320, 595, 4510])).
% 0.87/1.05 tff(4512,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4513,plain,
% 0.87/1.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s12) | xuntil2p8(s12) | (~until2p7(s12)))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4514,plain,
% 0.87/1.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s12) | xuntil2p8(s12) | (~until2p7(s12))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4513, 4512])).
% 0.87/1.05 tff(4515,plain,
% 0.87/1.05 (xuntil2p8(s12) | (~until2p7(s12))),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4514, 3051, 4511])).
% 0.87/1.05 tff(4516,plain,
% 0.87/1.05 (~until2p7(s12)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4515, 4508])).
% 0.87/1.05 tff(4517,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4518,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11)))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4519,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4518, 4517])).
% 0.87/1.05 tff(4520,plain,
% 0.87/1.05 (until2p7(s12) | (~xuntil2p8(s11))),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4519, 1970, 3066])).
% 0.87/1.05 tff(4521,plain,
% 0.87/1.05 (~xuntil2p8(s11)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4520, 4516])).
% 0.87/1.05 tff(4522,plain,
% 0.87/1.05 (~always3(s11)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[1978, 4510])).
% 0.87/1.05 tff(4523,plain,
% 0.87/1.05 (~node4(s11)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[2303, 595, 4522])).
% 0.87/1.05 tff(4524,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4525,plain,
% 0.87/1.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s11) | xuntil2p8(s11) | (~until2p7(s11)))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4526,plain,
% 0.87/1.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s11) | xuntil2p8(s11) | (~until2p7(s11))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4525, 4524])).
% 0.87/1.05 tff(4527,plain,
% 0.87/1.05 (xuntil2p8(s11) | (~until2p7(s11))),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4526, 3051, 4523])).
% 0.87/1.05 tff(4528,plain,
% 0.87/1.05 (~until2p7(s11)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4527, 4521])).
% 0.87/1.05 tff(4529,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4530,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10)))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4531,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4530, 4529])).
% 0.87/1.05 tff(4532,plain,
% 0.87/1.05 (until2p7(s11) | (~xuntil2p8(s10))),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4531, 1982, 3066])).
% 0.87/1.05 tff(4533,plain,
% 0.87/1.05 (~xuntil2p8(s10)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4532, 4528])).
% 0.87/1.05 tff(4534,plain,
% 0.87/1.05 (~always3(s10)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[1990, 4522])).
% 0.87/1.05 tff(4535,plain,
% 0.87/1.05 (~node4(s10)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[2286, 595, 4534])).
% 0.87/1.05 tff(4536,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4537,plain,
% 0.87/1.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s10) | xuntil2p8(s10) | (~until2p7(s10)))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4538,plain,
% 0.87/1.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s10) | xuntil2p8(s10) | (~until2p7(s10))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4537, 4536])).
% 0.87/1.05 tff(4539,plain,
% 0.87/1.05 (xuntil2p8(s10) | (~until2p7(s10))),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4538, 3051, 4535])).
% 0.87/1.05 tff(4540,plain,
% 0.87/1.05 (~until2p7(s10)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4539, 4533])).
% 0.87/1.05 tff(4541,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4542,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9)))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4543,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4542, 4541])).
% 0.87/1.05 tff(4544,plain,
% 0.87/1.05 (until2p7(s10) | (~xuntil2p8(s9))),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4543, 1994, 3066])).
% 0.87/1.05 tff(4545,plain,
% 0.87/1.05 (~xuntil2p8(s9)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4544, 4540])).
% 0.87/1.05 tff(4546,plain,
% 0.87/1.05 (~always3(s9)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[2002, 4534])).
% 0.87/1.05 tff(4547,plain,
% 0.87/1.05 (~node4(s9)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[2269, 595, 4546])).
% 0.87/1.05 tff(4548,plain,
% 0.87/1.05 (((~![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)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4549,plain,
% 0.87/1.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s9) | xuntil2p8(s9) | (~until2p7(s9)))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4550,plain,
% 0.87/1.05 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s9) | xuntil2p8(s9) | (~until2p7(s9))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4549, 4548])).
% 0.87/1.05 tff(4551,plain,
% 0.87/1.05 (xuntil2p8(s9) | (~until2p7(s9))),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4550, 3051, 4547])).
% 0.87/1.05 tff(4552,plain,
% 0.87/1.05 (~until2p7(s9)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4551, 4545])).
% 0.87/1.05 tff(4553,assumption,(~until2p7(s9)), introduced(assumption)).
% 0.87/1.05 tff(4554,assumption,(trans(s99, s9)), introduced(assumption)).
% 0.87/1.05 tff(4555,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s9) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s9)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4556,plain,
% 0.87/1.05 (((~trans(s99, s9)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s9)) <=> (until2p7(s9) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s9)))),
% 0.87/1.05 inference(rewrite,[status(thm)],[])).
% 0.87/1.05 tff(4557,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s9)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s9) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s9))))),
% 0.87/1.05 inference(monotonicity,[status(thm)],[4556])).
% 0.87/1.05 tff(4558,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s9)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s9)))),
% 0.87/1.05 inference(transitivity,[status(thm)],[4557, 4555])).
% 0.87/1.05 tff(4559,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s9)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s9))),
% 0.87/1.05 inference(quant_inst,[status(thm)],[])).
% 0.87/1.05 tff(4560,plain,
% 0.87/1.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s9))),
% 0.87/1.05 inference(modus_ponens,[status(thm)],[4559, 4558])).
% 0.87/1.05 tff(4561,plain,
% 0.87/1.05 ($false),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4560, 3037, 4554, 3085, 4553, 4303])).
% 0.87/1.05 tff(4562,plain,((~trans(s99, s9)) | until2p7(s9) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.05 tff(4563,plain,
% 0.87/1.05 (~trans(s99, s9)),
% 0.87/1.05 inference(unit_resolution,[status(thm)],[4562, 4552, 3026])).
% 0.87/1.05 tff(4564,assumption,(~until2p7(s44)), introduced(assumption)).
% 0.87/1.05 tff(4565,assumption,(trans(s99, s44)), introduced(assumption)).
% 0.87/1.05 tff(4566,plain,
% 0.87/1.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s44) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s44)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4567,plain,
% 0.87/1.06 (((~trans(s99, s44)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s44)) <=> (until2p7(s44) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s44)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4568,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s44)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s44) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s44))))),
% 0.87/1.06 inference(monotonicity,[status(thm)],[4567])).
% 0.87/1.06 tff(4569,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s44)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s44)))),
% 0.87/1.06 inference(transitivity,[status(thm)],[4568, 4566])).
% 0.87/1.06 tff(4570,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s44)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s44))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4571,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s44))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4570, 4569])).
% 0.87/1.06 tff(4572,plain,
% 0.87/1.06 ($false),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4571, 3037, 4565, 3085, 4564, 4303])).
% 0.87/1.06 tff(4573,plain,((~trans(s99, s44)) | until2p7(s44) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.06 tff(4574,plain,
% 0.87/1.06 (~trans(s99, s44)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4573, 3784, 3026])).
% 0.87/1.06 tff(4575,assumption,(~until2p7(s38)), introduced(assumption)).
% 0.87/1.06 tff(4576,assumption,(trans(s99, s38)), introduced(assumption)).
% 0.87/1.06 tff(4577,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s38) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s38)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4578,plain,
% 0.87/1.06 (((~trans(s99, s38)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s38)) <=> (until2p7(s38) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s38)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4579,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s38)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s38) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s38))))),
% 0.87/1.06 inference(monotonicity,[status(thm)],[4578])).
% 0.87/1.06 tff(4580,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s38)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s38)))),
% 0.87/1.06 inference(transitivity,[status(thm)],[4579, 4577])).
% 0.87/1.06 tff(4581,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s38)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s38))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4582,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s38))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4581, 4580])).
% 0.87/1.06 tff(4583,plain,
% 0.87/1.06 ($false),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4582, 3037, 4576, 3085, 4575, 4303])).
% 0.87/1.06 tff(4584,plain,((~trans(s99, s38)) | until2p7(s38) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.06 tff(4585,plain,
% 0.87/1.06 (~trans(s99, s38)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4584, 3856, 3026])).
% 0.87/1.06 tff(4586,plain,
% 0.87/1.06 (((~![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)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4587,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8)))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4588,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4587, 4586])).
% 0.87/1.06 tff(4589,plain,
% 0.87/1.06 (until2p7(s9) | (~xuntil2p8(s8))),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4588, 2006, 3066])).
% 0.87/1.06 tff(4590,plain,
% 0.87/1.06 (~xuntil2p8(s8)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4589, 4552])).
% 0.87/1.06 tff(4591,plain,
% 0.87/1.06 (~always3(s8)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[2014, 4546])).
% 0.87/1.06 tff(4592,plain,
% 0.87/1.06 (~node4(s8)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[2252, 595, 4591])).
% 0.87/1.06 tff(4593,plain,
% 0.87/1.06 (((~![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)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4594,plain,
% 0.87/1.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s8) | xuntil2p8(s8) | (~until2p7(s8)))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4595,plain,
% 0.87/1.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s8) | xuntil2p8(s8) | (~until2p7(s8))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4594, 4593])).
% 0.87/1.06 tff(4596,plain,
% 0.87/1.06 (xuntil2p8(s8) | (~until2p7(s8))),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4595, 3051, 4592])).
% 0.87/1.06 tff(4597,plain,
% 0.87/1.06 (~until2p7(s8)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4596, 4590])).
% 0.87/1.06 tff(4598,plain,
% 0.87/1.06 (((~![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)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4599,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7)))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4600,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4599, 4598])).
% 0.87/1.06 tff(4601,plain,
% 0.87/1.06 (until2p7(s8) | (~xuntil2p8(s7))),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4600, 2018, 3066])).
% 0.87/1.06 tff(4602,plain,
% 0.87/1.06 (~xuntil2p8(s7)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4601, 4597])).
% 0.87/1.06 tff(4603,plain,
% 0.87/1.06 (~always3(s7)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[2026, 4591])).
% 0.87/1.06 tff(4604,plain,
% 0.87/1.06 (~node4(s7)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[2235, 595, 4603])).
% 0.87/1.06 tff(4605,plain,
% 0.87/1.06 (((~![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)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4606,plain,
% 0.87/1.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s7) | xuntil2p8(s7) | (~until2p7(s7)))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4607,plain,
% 0.87/1.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s7) | xuntil2p8(s7) | (~until2p7(s7))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4606, 4605])).
% 0.87/1.06 tff(4608,plain,
% 0.87/1.06 (xuntil2p8(s7) | (~until2p7(s7))),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4607, 3051, 4604])).
% 0.87/1.06 tff(4609,plain,
% 0.87/1.06 (~until2p7(s7)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4608, 4602])).
% 0.87/1.06 tff(4610,plain,
% 0.87/1.06 (((~![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)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4611,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6)))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4612,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4611, 4610])).
% 0.87/1.06 tff(4613,plain,
% 0.87/1.06 (until2p7(s7) | (~xuntil2p8(s6))),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4612, 2030, 3066])).
% 0.87/1.06 tff(4614,plain,
% 0.87/1.06 (~xuntil2p8(s6)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4613, 4609])).
% 0.87/1.06 tff(4615,plain,
% 0.87/1.06 (~always3(s6)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[2038, 4603])).
% 0.87/1.06 tff(4616,plain,
% 0.87/1.06 (~node4(s6)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[2218, 595, 4615])).
% 0.87/1.06 tff(4617,plain,
% 0.87/1.06 (((~![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)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4618,plain,
% 0.87/1.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s6) | xuntil2p8(s6) | (~until2p7(s6)))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4619,plain,
% 0.87/1.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s6) | xuntil2p8(s6) | (~until2p7(s6))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4618, 4617])).
% 0.87/1.06 tff(4620,plain,
% 0.87/1.06 (xuntil2p8(s6) | (~until2p7(s6))),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4619, 3051, 4616])).
% 0.87/1.06 tff(4621,plain,
% 0.87/1.06 (~until2p7(s6)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4620, 4614])).
% 0.87/1.06 tff(4622,plain,
% 0.87/1.06 (((~![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)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4623,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5)))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4624,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4623, 4622])).
% 0.87/1.06 tff(4625,plain,
% 0.87/1.06 (until2p7(s6) | (~xuntil2p8(s5))),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4624, 2042, 3066])).
% 0.87/1.06 tff(4626,plain,
% 0.87/1.06 (~xuntil2p8(s5)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4625, 4621])).
% 0.87/1.06 tff(4627,plain,
% 0.87/1.06 (~always3(s5)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[2050, 4615])).
% 0.87/1.06 tff(4628,plain,
% 0.87/1.06 (~node4(s5)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[2201, 595, 4627])).
% 0.87/1.06 tff(4629,plain,
% 0.87/1.06 (((~![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)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4630,plain,
% 0.87/1.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s5) | xuntil2p8(s5) | (~until2p7(s5)))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4631,plain,
% 0.87/1.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s5) | xuntil2p8(s5) | (~until2p7(s5))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4630, 4629])).
% 0.87/1.06 tff(4632,plain,
% 0.87/1.06 (xuntil2p8(s5) | (~until2p7(s5))),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4631, 3051, 4628])).
% 0.87/1.06 tff(4633,plain,
% 0.87/1.06 (~until2p7(s5)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4632, 4626])).
% 0.87/1.06 tff(4634,plain,
% 0.87/1.06 (((~![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)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4635,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4)))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4636,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4635, 4634])).
% 0.87/1.06 tff(4637,plain,
% 0.87/1.06 (until2p7(s5) | (~xuntil2p8(s4))),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4636, 2054, 3066])).
% 0.87/1.06 tff(4638,plain,
% 0.87/1.06 (~xuntil2p8(s4)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4637, 4633])).
% 0.87/1.06 tff(4639,plain,
% 0.87/1.06 (~always3(s4)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[2062, 4627])).
% 0.87/1.06 tff(4640,plain,
% 0.87/1.06 (~node4(s4)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[2184, 595, 4639])).
% 0.87/1.06 tff(4641,plain,
% 0.87/1.06 (((~![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)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4642,plain,
% 0.87/1.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s4) | xuntil2p8(s4) | (~until2p7(s4)))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4643,plain,
% 0.87/1.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s4) | xuntil2p8(s4) | (~until2p7(s4))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4642, 4641])).
% 0.87/1.06 tff(4644,plain,
% 0.87/1.06 (xuntil2p8(s4) | (~until2p7(s4))),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4643, 3051, 4640])).
% 0.87/1.06 tff(4645,plain,
% 0.87/1.06 (~until2p7(s4)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4644, 4638])).
% 0.87/1.06 tff(4646,plain,
% 0.87/1.06 (((~![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)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4647,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3)))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4648,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4647, 4646])).
% 0.87/1.06 tff(4649,plain,
% 0.87/1.06 (until2p7(s4) | (~xuntil2p8(s3))),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4648, 2066, 3066])).
% 0.87/1.06 tff(4650,plain,
% 0.87/1.06 (~xuntil2p8(s3)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4649, 4645])).
% 0.87/1.06 tff(4651,plain,
% 0.87/1.06 (~always3(s3)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[2074, 4639])).
% 0.87/1.06 tff(4652,plain,
% 0.87/1.06 (~node4(s3)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[2167, 595, 4651])).
% 0.87/1.06 tff(4653,plain,
% 0.87/1.06 (((~![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)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4654,plain,
% 0.87/1.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s3) | xuntil2p8(s3) | (~until2p7(s3)))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4655,plain,
% 0.87/1.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s3) | xuntil2p8(s3) | (~until2p7(s3))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4654, 4653])).
% 0.87/1.06 tff(4656,plain,
% 0.87/1.06 (xuntil2p8(s3) | (~until2p7(s3))),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4655, 3051, 4652])).
% 0.87/1.06 tff(4657,plain,
% 0.87/1.06 (~until2p7(s3)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4656, 4650])).
% 0.87/1.06 tff(4658,plain,
% 0.87/1.06 (((~![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)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4659,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2)))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4660,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4659, 4658])).
% 0.87/1.06 tff(4661,plain,
% 0.87/1.06 (until2p7(s3) | (~xuntil2p8(s2))),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4660, 2078, 3066])).
% 0.87/1.06 tff(4662,plain,
% 0.87/1.06 (~xuntil2p8(s2)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4661, 4657])).
% 0.87/1.06 tff(4663,plain,
% 0.87/1.06 (~always3(s2)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[2086, 4651])).
% 0.87/1.06 tff(4664,plain,
% 0.87/1.06 (~node4(s2)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[2150, 595, 4663])).
% 0.87/1.06 tff(4665,plain,
% 0.87/1.06 (((~![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)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4666,plain,
% 0.87/1.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s2) | xuntil2p8(s2) | (~until2p7(s2)))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4667,plain,
% 0.87/1.06 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s2) | xuntil2p8(s2) | (~until2p7(s2))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4666, 4665])).
% 0.87/1.06 tff(4668,plain,
% 0.87/1.06 (xuntil2p8(s2) | (~until2p7(s2))),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4667, 3051, 4664])).
% 0.87/1.06 tff(4669,plain,
% 0.87/1.06 (~until2p7(s2)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4668, 4662])).
% 0.87/1.06 tff(4670,assumption,(~until2p7(s2)), introduced(assumption)).
% 0.87/1.06 tff(4671,assumption,(trans(s99, s2)), introduced(assumption)).
% 0.87/1.06 tff(4672,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s2) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s2)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4673,plain,
% 0.87/1.06 (((~trans(s99, s2)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s2)) <=> (until2p7(s2) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s2)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4674,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s2)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s2) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s2))))),
% 0.87/1.06 inference(monotonicity,[status(thm)],[4673])).
% 0.87/1.06 tff(4675,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s2)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s2)))),
% 0.87/1.06 inference(transitivity,[status(thm)],[4674, 4672])).
% 0.87/1.06 tff(4676,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s2)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s2))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4677,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s2))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4676, 4675])).
% 0.87/1.06 tff(4678,plain,
% 0.87/1.06 ($false),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4677, 3037, 4671, 3085, 4670, 4303])).
% 0.87/1.06 tff(4679,plain,((~trans(s99, s2)) | until2p7(s2) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.06 tff(4680,plain,
% 0.87/1.06 (~trans(s99, s2)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4679, 4669, 3026])).
% 0.87/1.06 tff(4681,assumption,(~until2p7(s4)), introduced(assumption)).
% 0.87/1.06 tff(4682,assumption,(trans(s99, s4)), introduced(assumption)).
% 0.87/1.06 tff(4683,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s4) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s4)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4684,plain,
% 0.87/1.06 (((~trans(s99, s4)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s4)) <=> (until2p7(s4) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s4)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4685,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s4)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s4) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s4))))),
% 0.87/1.06 inference(monotonicity,[status(thm)],[4684])).
% 0.87/1.06 tff(4686,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s4)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s4)))),
% 0.87/1.06 inference(transitivity,[status(thm)],[4685, 4683])).
% 0.87/1.06 tff(4687,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s4)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s4))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4688,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s4))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4687, 4686])).
% 0.87/1.06 tff(4689,plain,
% 0.87/1.06 ($false),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4688, 3037, 4682, 3085, 4681, 4303])).
% 0.87/1.06 tff(4690,plain,((~trans(s99, s4)) | until2p7(s4) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.06 tff(4691,plain,
% 0.87/1.06 (~trans(s99, s4)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4690, 4645, 3026])).
% 0.87/1.06 tff(4692,assumption,(~until2p7(s37)), introduced(assumption)).
% 0.87/1.06 tff(4693,assumption,(trans(s99, s37)), introduced(assumption)).
% 0.87/1.06 tff(4694,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s37) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s37)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4695,plain,
% 0.87/1.06 (((~trans(s99, s37)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s37)) <=> (until2p7(s37) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s37)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4696,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s37)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s37) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s37))))),
% 0.87/1.06 inference(monotonicity,[status(thm)],[4695])).
% 0.87/1.06 tff(4697,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s37)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s37)))),
% 0.87/1.06 inference(transitivity,[status(thm)],[4696, 4694])).
% 0.87/1.06 tff(4698,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s37)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s37))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4699,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s37))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4698, 4697])).
% 0.87/1.06 tff(4700,plain,
% 0.87/1.06 ($false),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4699, 3037, 4693, 3085, 4692, 4303])).
% 0.87/1.06 tff(4701,plain,((~trans(s99, s37)) | until2p7(s37) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.06 tff(4702,plain,
% 0.87/1.06 (~trans(s99, s37)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4701, 3868, 3026])).
% 0.87/1.06 tff(4703,assumption,(~until2p7(s76)), introduced(assumption)).
% 0.87/1.06 tff(4704,assumption,(trans(s99, s76)), introduced(assumption)).
% 0.87/1.06 tff(4705,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s76) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s76)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s76) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s76)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4706,plain,
% 0.87/1.06 (((~trans(s99, s76)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s76)) <=> (until2p7(s76) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s76)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4707,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s76)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s76) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s76))))),
% 0.87/1.06 inference(monotonicity,[status(thm)],[4706])).
% 0.87/1.06 tff(4708,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s76)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s76) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s76)))),
% 0.87/1.06 inference(transitivity,[status(thm)],[4707, 4705])).
% 0.87/1.06 tff(4709,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s76)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s76))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4710,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s76) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s76))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4709, 4708])).
% 0.87/1.06 tff(4711,plain,
% 0.87/1.06 ($false),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4710, 3037, 4704, 3085, 4703, 4303])).
% 0.87/1.06 tff(4712,plain,((~trans(s99, s76)) | until2p7(s76) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.06 tff(4713,plain,
% 0.87/1.06 (~trans(s99, s76)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4712, 3400, 3026])).
% 0.87/1.06 tff(4714,assumption,(~until2p7(s77)), introduced(assumption)).
% 0.87/1.06 tff(4715,assumption,(trans(s99, s77)), introduced(assumption)).
% 0.87/1.06 tff(4716,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s77) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s77)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s77) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s77)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4717,plain,
% 0.87/1.06 (((~trans(s99, s77)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s77)) <=> (until2p7(s77) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s77)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4718,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s77)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s77) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s77))))),
% 0.87/1.06 inference(monotonicity,[status(thm)],[4717])).
% 0.87/1.06 tff(4719,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s77)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s77) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s77)))),
% 0.87/1.06 inference(transitivity,[status(thm)],[4718, 4716])).
% 0.87/1.06 tff(4720,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s77)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s77))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4721,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s77) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s77))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4720, 4719])).
% 0.87/1.06 tff(4722,plain,
% 0.87/1.06 ($false),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4721, 3037, 4715, 3085, 4714, 4303])).
% 0.87/1.06 tff(4723,plain,((~trans(s99, s77)) | until2p7(s77) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.06 tff(4724,plain,
% 0.87/1.06 (~trans(s99, s77)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4723, 3388, 3026])).
% 0.87/1.06 tff(4725,assumption,(~until2p7(s13)), introduced(assumption)).
% 0.87/1.06 tff(4726,assumption,(trans(s99, s13)), introduced(assumption)).
% 0.87/1.06 tff(4727,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s13) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s13)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4728,plain,
% 0.87/1.06 (((~trans(s99, s13)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s13)) <=> (until2p7(s13) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s13)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4729,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s13)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s13) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s13))))),
% 0.87/1.06 inference(monotonicity,[status(thm)],[4728])).
% 0.87/1.06 tff(4730,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s13)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s13)))),
% 0.87/1.06 inference(transitivity,[status(thm)],[4729, 4727])).
% 0.87/1.06 tff(4731,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s13)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s13))),
% 0.87/1.06 inference(quant_inst,[status(thm)],[])).
% 0.87/1.06 tff(4732,plain,
% 0.87/1.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s13))),
% 0.87/1.06 inference(modus_ponens,[status(thm)],[4731, 4730])).
% 0.87/1.06 tff(4733,plain,
% 0.87/1.06 ($false),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4732, 3037, 4726, 3085, 4725, 4303])).
% 0.87/1.06 tff(4734,plain,((~trans(s99, s13)) | until2p7(s13) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.06 tff(4735,plain,
% 0.87/1.06 (~trans(s99, s13)),
% 0.87/1.06 inference(unit_resolution,[status(thm)],[4734, 4503, 3026])).
% 0.87/1.06 tff(4736,assumption,(~until2p7(s42)), introduced(assumption)).
% 0.87/1.06 tff(4737,assumption,(trans(s99, s42)), introduced(assumption)).
% 0.87/1.06 tff(4738,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s42) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s42)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4739,plain,
% 0.87/1.06 (((~trans(s99, s42)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s42)) <=> (until2p7(s42) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s42)))),
% 0.87/1.06 inference(rewrite,[status(thm)],[])).
% 0.87/1.06 tff(4740,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s42)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s42) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s42))))),
% 0.87/1.06 inference(monotonicity,[status(thm)],[4739])).
% 0.87/1.06 tff(4741,plain,
% 0.87/1.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s42)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s42)))),
% 0.87/1.07 inference(transitivity,[status(thm)],[4740, 4738])).
% 0.87/1.07 tff(4742,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s42)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s42))),
% 0.87/1.07 inference(quant_inst,[status(thm)],[])).
% 0.87/1.07 tff(4743,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s42))),
% 0.87/1.07 inference(modus_ponens,[status(thm)],[4742, 4741])).
% 0.87/1.07 tff(4744,plain,
% 0.87/1.07 ($false),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4743, 3037, 4737, 3085, 4736, 4303])).
% 0.87/1.07 tff(4745,plain,((~trans(s99, s42)) | until2p7(s42) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.07 tff(4746,plain,
% 0.87/1.07 (~trans(s99, s42)),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4745, 3808, 3026])).
% 0.87/1.07 tff(4747,assumption,(~until2p7(s47)), introduced(assumption)).
% 0.87/1.07 tff(4748,assumption,(trans(s99, s47)), introduced(assumption)).
% 0.87/1.07 tff(4749,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s47) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s47)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4750,plain,
% 0.87/1.07 (((~trans(s99, s47)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s47)) <=> (until2p7(s47) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s47)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4751,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s47)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s47) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s47))))),
% 0.87/1.07 inference(monotonicity,[status(thm)],[4750])).
% 0.87/1.07 tff(4752,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s47)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s47)))),
% 0.87/1.07 inference(transitivity,[status(thm)],[4751, 4749])).
% 0.87/1.07 tff(4753,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s47)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s47))),
% 0.87/1.07 inference(quant_inst,[status(thm)],[])).
% 0.87/1.07 tff(4754,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s47))),
% 0.87/1.07 inference(modus_ponens,[status(thm)],[4753, 4752])).
% 0.87/1.07 tff(4755,plain,
% 0.87/1.07 ($false),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4754, 3037, 4748, 3085, 4747, 4303])).
% 0.87/1.07 tff(4756,plain,((~trans(s99, s47)) | until2p7(s47) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.07 tff(4757,plain,
% 0.87/1.07 (~trans(s99, s47)),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4756, 3748, 3026])).
% 0.87/1.07 tff(4758,assumption,(~until2p7(s25)), introduced(assumption)).
% 0.87/1.07 tff(4759,assumption,(trans(s99, s25)), introduced(assumption)).
% 0.87/1.07 tff(4760,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s25) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s25)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4761,plain,
% 0.87/1.07 (((~trans(s99, s25)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s25)) <=> (until2p7(s25) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s25)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4762,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s25)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s25) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s25))))),
% 0.87/1.07 inference(monotonicity,[status(thm)],[4761])).
% 0.87/1.07 tff(4763,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s25)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s25)))),
% 0.87/1.07 inference(transitivity,[status(thm)],[4762, 4760])).
% 0.87/1.07 tff(4764,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s25)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s25))),
% 0.87/1.07 inference(quant_inst,[status(thm)],[])).
% 0.87/1.07 tff(4765,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s25))),
% 0.87/1.07 inference(modus_ponens,[status(thm)],[4764, 4763])).
% 0.87/1.07 tff(4766,plain,
% 0.87/1.07 ($false),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4765, 3037, 4759, 3085, 4758, 4303])).
% 0.87/1.07 tff(4767,plain,((~trans(s99, s25)) | until2p7(s25) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.07 tff(4768,plain,
% 0.87/1.07 (~trans(s99, s25)),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4767, 4114, 3026])).
% 0.87/1.07 tff(4769,assumption,(~until2p7(s73)), introduced(assumption)).
% 0.87/1.07 tff(4770,assumption,(trans(s99, s73)), introduced(assumption)).
% 0.87/1.07 tff(4771,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s73) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s73)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s73) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s73)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4772,plain,
% 0.87/1.07 (((~trans(s99, s73)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s73)) <=> (until2p7(s73) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s73)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4773,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s73)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s73) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s73))))),
% 0.87/1.07 inference(monotonicity,[status(thm)],[4772])).
% 0.87/1.07 tff(4774,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s73)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s73) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s73)))),
% 0.87/1.07 inference(transitivity,[status(thm)],[4773, 4771])).
% 0.87/1.07 tff(4775,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s73)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s73))),
% 0.87/1.07 inference(quant_inst,[status(thm)],[])).
% 0.87/1.07 tff(4776,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s73) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s73))),
% 0.87/1.07 inference(modus_ponens,[status(thm)],[4775, 4774])).
% 0.87/1.07 tff(4777,plain,
% 0.87/1.07 ($false),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4776, 3037, 4770, 3085, 4769, 4303])).
% 0.87/1.07 tff(4778,plain,((~trans(s99, s73)) | until2p7(s73) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.07 tff(4779,plain,
% 0.87/1.07 (~trans(s99, s73)),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4778, 3436, 3026])).
% 0.87/1.07 tff(4780,assumption,(~until2p7(s53)), introduced(assumption)).
% 0.87/1.07 tff(4781,assumption,(trans(s99, s53)), introduced(assumption)).
% 0.87/1.07 tff(4782,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s53) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s53)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s53) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s53)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4783,plain,
% 0.87/1.07 (((~trans(s99, s53)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s53)) <=> (until2p7(s53) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s53)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4784,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s53)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s53) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s53))))),
% 0.87/1.07 inference(monotonicity,[status(thm)],[4783])).
% 0.87/1.07 tff(4785,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s53)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s53) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s53)))),
% 0.87/1.07 inference(transitivity,[status(thm)],[4784, 4782])).
% 0.87/1.07 tff(4786,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s53)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s53))),
% 0.87/1.07 inference(quant_inst,[status(thm)],[])).
% 0.87/1.07 tff(4787,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s53) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s53))),
% 0.87/1.07 inference(modus_ponens,[status(thm)],[4786, 4785])).
% 0.87/1.07 tff(4788,plain,
% 0.87/1.07 ($false),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4787, 3037, 4781, 3085, 4780, 4303])).
% 0.87/1.07 tff(4789,plain,((~trans(s99, s53)) | until2p7(s53) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.07 tff(4790,plain,
% 0.87/1.07 (~trans(s99, s53)),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4789, 3676, 3026])).
% 0.87/1.07 tff(4791,assumption,(~until2p7(s22)), introduced(assumption)).
% 0.87/1.07 tff(4792,assumption,(trans(s99, s22)), introduced(assumption)).
% 0.87/1.07 tff(4793,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s22) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s22)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4794,plain,
% 0.87/1.07 (((~trans(s99, s22)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s22)) <=> (until2p7(s22) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s22)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4795,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s22)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s22) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s22))))),
% 0.87/1.07 inference(monotonicity,[status(thm)],[4794])).
% 0.87/1.07 tff(4796,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s22)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s22)))),
% 0.87/1.07 inference(transitivity,[status(thm)],[4795, 4793])).
% 0.87/1.07 tff(4797,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s22)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s22))),
% 0.87/1.07 inference(quant_inst,[status(thm)],[])).
% 0.87/1.07 tff(4798,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s22))),
% 0.87/1.07 inference(modus_ponens,[status(thm)],[4797, 4796])).
% 0.87/1.07 tff(4799,plain,
% 0.87/1.07 ($false),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4798, 3037, 4792, 3085, 4791, 4303])).
% 0.87/1.07 tff(4800,plain,((~trans(s99, s22)) | until2p7(s22) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.07 tff(4801,plain,
% 0.87/1.07 (~trans(s99, s22)),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4800, 4184, 3026])).
% 0.87/1.07 tff(4802,assumption,(~until2p7(s28)), introduced(assumption)).
% 0.87/1.07 tff(4803,assumption,(trans(s99, s28)), introduced(assumption)).
% 0.87/1.07 tff(4804,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s28) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s28)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4805,plain,
% 0.87/1.07 (((~trans(s99, s28)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s28)) <=> (until2p7(s28) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s28)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4806,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s28)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s28) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s28))))),
% 0.87/1.07 inference(monotonicity,[status(thm)],[4805])).
% 0.87/1.07 tff(4807,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s28)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s28)))),
% 0.87/1.07 inference(transitivity,[status(thm)],[4806, 4804])).
% 0.87/1.07 tff(4808,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s28)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s28))),
% 0.87/1.07 inference(quant_inst,[status(thm)],[])).
% 0.87/1.07 tff(4809,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s28))),
% 0.87/1.07 inference(modus_ponens,[status(thm)],[4808, 4807])).
% 0.87/1.07 tff(4810,plain,
% 0.87/1.07 ($false),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4809, 3037, 4803, 3085, 4802, 4303])).
% 0.87/1.07 tff(4811,plain,((~trans(s99, s28)) | until2p7(s28) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.07 tff(4812,plain,
% 0.87/1.07 (~trans(s99, s28)),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4811, 4044, 3026])).
% 0.87/1.07 tff(4813,assumption,(~until2p7(s82)), introduced(assumption)).
% 0.87/1.07 tff(4814,assumption,(trans(s99, s82)), introduced(assumption)).
% 0.87/1.07 tff(4815,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s82) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s82)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s82) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s82)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4816,plain,
% 0.87/1.07 (((~trans(s99, s82)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s82)) <=> (until2p7(s82) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s82)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4817,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s82)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s82) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s82))))),
% 0.87/1.07 inference(monotonicity,[status(thm)],[4816])).
% 0.87/1.07 tff(4818,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s82)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s82) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s82)))),
% 0.87/1.07 inference(transitivity,[status(thm)],[4817, 4815])).
% 0.87/1.07 tff(4819,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s82)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s82))),
% 0.87/1.07 inference(quant_inst,[status(thm)],[])).
% 0.87/1.07 tff(4820,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s82) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s82))),
% 0.87/1.07 inference(modus_ponens,[status(thm)],[4819, 4818])).
% 0.87/1.07 tff(4821,plain,
% 0.87/1.07 ($false),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4820, 3037, 4814, 3085, 4813, 4303])).
% 0.87/1.07 tff(4822,plain,((~trans(s99, s82)) | until2p7(s82) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.07 tff(4823,plain,
% 0.87/1.07 (~trans(s99, s82)),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4822, 3328, 3026])).
% 0.87/1.07 tff(4824,assumption,(~until2p7(s34)), introduced(assumption)).
% 0.87/1.07 tff(4825,assumption,(trans(s99, s34)), introduced(assumption)).
% 0.87/1.07 tff(4826,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s34) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s34)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4827,plain,
% 0.87/1.07 (((~trans(s99, s34)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s34)) <=> (until2p7(s34) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s34)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4828,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s34)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s34) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s34))))),
% 0.87/1.07 inference(monotonicity,[status(thm)],[4827])).
% 0.87/1.07 tff(4829,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s34)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s34)))),
% 0.87/1.07 inference(transitivity,[status(thm)],[4828, 4826])).
% 0.87/1.07 tff(4830,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s34)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s34))),
% 0.87/1.07 inference(quant_inst,[status(thm)],[])).
% 0.87/1.07 tff(4831,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s34))),
% 0.87/1.07 inference(modus_ponens,[status(thm)],[4830, 4829])).
% 0.87/1.07 tff(4832,plain,
% 0.87/1.07 ($false),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4831, 3037, 4825, 3085, 4824, 4303])).
% 0.87/1.07 tff(4833,plain,((~trans(s99, s34)) | until2p7(s34) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.07 tff(4834,plain,
% 0.87/1.07 (~trans(s99, s34)),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4833, 3938, 3026])).
% 0.87/1.07 tff(4835,assumption,(~until2p7(s89)), introduced(assumption)).
% 0.87/1.07 tff(4836,assumption,(trans(s99, s89)), introduced(assumption)).
% 0.87/1.07 tff(4837,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s89) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s89)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s89) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s89)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4838,plain,
% 0.87/1.07 (((~trans(s99, s89)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s89)) <=> (until2p7(s89) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s89)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4839,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s89)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s89) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s89))))),
% 0.87/1.07 inference(monotonicity,[status(thm)],[4838])).
% 0.87/1.07 tff(4840,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s89)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s89) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s89)))),
% 0.87/1.07 inference(transitivity,[status(thm)],[4839, 4837])).
% 0.87/1.07 tff(4841,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s89)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s89))),
% 0.87/1.07 inference(quant_inst,[status(thm)],[])).
% 0.87/1.07 tff(4842,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s89) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s89))),
% 0.87/1.07 inference(modus_ponens,[status(thm)],[4841, 4840])).
% 0.87/1.07 tff(4843,plain,
% 0.87/1.07 ($false),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4842, 3037, 4836, 3085, 4835, 4303])).
% 0.87/1.07 tff(4844,plain,((~trans(s99, s89)) | until2p7(s89) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.07 tff(4845,plain,
% 0.87/1.07 (~trans(s99, s89)),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4844, 3244, 3026])).
% 0.87/1.07 tff(4846,assumption,(~until2p7(s11)), introduced(assumption)).
% 0.87/1.07 tff(4847,assumption,(trans(s99, s11)), introduced(assumption)).
% 0.87/1.07 tff(4848,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s11) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s11)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4849,plain,
% 0.87/1.07 (((~trans(s99, s11)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s11)) <=> (until2p7(s11) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s11)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4850,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s11)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s11) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s11))))),
% 0.87/1.07 inference(monotonicity,[status(thm)],[4849])).
% 0.87/1.07 tff(4851,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s11)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s11)))),
% 0.87/1.07 inference(transitivity,[status(thm)],[4850, 4848])).
% 0.87/1.07 tff(4852,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s11)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s11))),
% 0.87/1.07 inference(quant_inst,[status(thm)],[])).
% 0.87/1.07 tff(4853,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s11))),
% 0.87/1.07 inference(modus_ponens,[status(thm)],[4852, 4851])).
% 0.87/1.07 tff(4854,plain,
% 0.87/1.07 ($false),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4853, 3037, 4847, 3085, 4846, 4303])).
% 0.87/1.07 tff(4855,plain,((~trans(s99, s11)) | until2p7(s11) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.07 tff(4856,plain,
% 0.87/1.07 (~trans(s99, s11)),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4855, 4528, 3026])).
% 0.87/1.07 tff(4857,assumption,(~until2p7(s5)), introduced(assumption)).
% 0.87/1.07 tff(4858,assumption,(trans(s99, s5)), introduced(assumption)).
% 0.87/1.07 tff(4859,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s5) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s5)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4860,plain,
% 0.87/1.07 (((~trans(s99, s5)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s5)) <=> (until2p7(s5) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s5)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4861,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s5)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s5) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s5))))),
% 0.87/1.07 inference(monotonicity,[status(thm)],[4860])).
% 0.87/1.07 tff(4862,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s5)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s5)))),
% 0.87/1.07 inference(transitivity,[status(thm)],[4861, 4859])).
% 0.87/1.07 tff(4863,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s5)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s5))),
% 0.87/1.07 inference(quant_inst,[status(thm)],[])).
% 0.87/1.07 tff(4864,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s5))),
% 0.87/1.07 inference(modus_ponens,[status(thm)],[4863, 4862])).
% 0.87/1.07 tff(4865,plain,
% 0.87/1.07 ($false),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4864, 3037, 4858, 3085, 4857, 4303])).
% 0.87/1.07 tff(4866,plain,((~trans(s99, s5)) | until2p7(s5) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.07 tff(4867,plain,
% 0.87/1.07 (~trans(s99, s5)),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4866, 4633, 3026])).
% 0.87/1.07 tff(4868,assumption,(~until2p7(s20)), introduced(assumption)).
% 0.87/1.07 tff(4869,assumption,(trans(s99, s20)), introduced(assumption)).
% 0.87/1.07 tff(4870,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s20) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s20)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4871,plain,
% 0.87/1.07 (((~trans(s99, s20)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s20)) <=> (until2p7(s20) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s20)))),
% 0.87/1.07 inference(rewrite,[status(thm)],[])).
% 0.87/1.07 tff(4872,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s20)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s20) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s20))))),
% 0.87/1.07 inference(monotonicity,[status(thm)],[4871])).
% 0.87/1.07 tff(4873,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s20)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s20)))),
% 0.87/1.07 inference(transitivity,[status(thm)],[4872, 4870])).
% 0.87/1.07 tff(4874,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s20)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s20))),
% 0.87/1.07 inference(quant_inst,[status(thm)],[])).
% 0.87/1.07 tff(4875,plain,
% 0.87/1.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s20))),
% 0.87/1.07 inference(modus_ponens,[status(thm)],[4874, 4873])).
% 0.87/1.07 tff(4876,plain,
% 0.87/1.07 ($false),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4875, 3037, 4869, 3085, 4868, 4303])).
% 0.87/1.07 tff(4877,plain,((~trans(s99, s20)) | until2p7(s20) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.07 tff(4878,plain,
% 0.87/1.07 (~trans(s99, s20)),
% 0.87/1.07 inference(unit_resolution,[status(thm)],[4877, 4208, 3026])).
% 0.87/1.07 tff(4879,assumption,(~until2p7(s97)), introduced(assumption)).
% 0.87/1.07 tff(4880,assumption,(trans(s99, s97)), introduced(assumption)).
% 0.87/1.07 tff(4881,plain,
% 0.87/1.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s97) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s97)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s97) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s97)))),
% 0.87/1.08 inference(rewrite,[status(thm)],[])).
% 0.87/1.08 tff(4882,plain,
% 0.87/1.08 (((~trans(s99, s97)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s97)) <=> (until2p7(s97) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s97)))),
% 0.87/1.08 inference(rewrite,[status(thm)],[])).
% 0.87/1.08 tff(4883,plain,
% 0.87/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s97)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s97) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s97))))),
% 0.87/1.08 inference(monotonicity,[status(thm)],[4882])).
% 0.87/1.08 tff(4884,plain,
% 0.87/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s97)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s97) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s97)))),
% 0.87/1.08 inference(transitivity,[status(thm)],[4883, 4881])).
% 0.87/1.08 tff(4885,plain,
% 0.87/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s97)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s97))),
% 0.87/1.08 inference(quant_inst,[status(thm)],[])).
% 0.87/1.08 tff(4886,plain,
% 0.87/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s97) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s97))),
% 0.87/1.08 inference(modus_ponens,[status(thm)],[4885, 4884])).
% 0.87/1.08 tff(4887,plain,
% 0.87/1.08 ($false),
% 0.87/1.08 inference(unit_resolution,[status(thm)],[4886, 3037, 4880, 3085, 4879, 4303])).
% 0.87/1.08 tff(4888,plain,((~trans(s99, s97)) | until2p7(s97) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.08 tff(4889,plain,
% 0.87/1.08 (~trans(s99, s97)),
% 0.87/1.08 inference(unit_resolution,[status(thm)],[4888, 3095, 3026])).
% 0.87/1.08 tff(4890,assumption,(~until2p7(s95)), introduced(assumption)).
% 0.87/1.08 tff(4891,assumption,(trans(s99, s95)), introduced(assumption)).
% 0.87/1.08 tff(4892,plain,
% 0.87/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s95) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s95)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s95) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s95)))),
% 0.87/1.08 inference(rewrite,[status(thm)],[])).
% 0.87/1.08 tff(4893,plain,
% 0.87/1.08 (((~trans(s99, s95)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s95)) <=> (until2p7(s95) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s95)))),
% 0.87/1.08 inference(rewrite,[status(thm)],[])).
% 0.87/1.08 tff(4894,plain,
% 0.87/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s95)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s95) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s95))))),
% 0.87/1.08 inference(monotonicity,[status(thm)],[4893])).
% 0.87/1.08 tff(4895,plain,
% 0.87/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s95)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s95) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s95)))),
% 0.87/1.08 inference(transitivity,[status(thm)],[4894, 4892])).
% 0.87/1.08 tff(4896,plain,
% 0.87/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s95)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s95))),
% 0.87/1.08 inference(quant_inst,[status(thm)],[])).
% 0.87/1.08 tff(4897,plain,
% 0.87/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s95) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s95))),
% 0.87/1.08 inference(modus_ponens,[status(thm)],[4896, 4895])).
% 0.87/1.08 tff(4898,plain,
% 0.87/1.08 ($false),
% 0.87/1.08 inference(unit_resolution,[status(thm)],[4897, 3037, 4891, 3085, 4890, 4303])).
% 0.87/1.08 tff(4899,plain,((~trans(s99, s95)) | until2p7(s95) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.08 tff(4900,plain,
% 0.87/1.08 (~trans(s99, s95)),
% 0.87/1.08 inference(unit_resolution,[status(thm)],[4899, 3117, 3026])).
% 0.87/1.08 tff(4901,assumption,(~until2p7(s92)), introduced(assumption)).
% 0.87/1.08 tff(4902,assumption,(trans(s99, s92)), introduced(assumption)).
% 0.87/1.08 tff(4903,plain,
% 0.87/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s92) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s92)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s92) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s92)))),
% 0.87/1.08 inference(rewrite,[status(thm)],[])).
% 0.87/1.08 tff(4904,plain,
% 0.87/1.08 (((~trans(s99, s92)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s92)) <=> (until2p7(s92) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s92)))),
% 0.87/1.08 inference(rewrite,[status(thm)],[])).
% 0.87/1.08 tff(4905,plain,
% 0.87/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s92)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s92) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s92))))),
% 0.87/1.08 inference(monotonicity,[status(thm)],[4904])).
% 0.87/1.08 tff(4906,plain,
% 0.87/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s92)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s92) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s92)))),
% 0.87/1.08 inference(transitivity,[status(thm)],[4905, 4903])).
% 0.87/1.08 tff(4907,plain,
% 0.87/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s92)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s92))),
% 0.87/1.08 inference(quant_inst,[status(thm)],[])).
% 0.87/1.08 tff(4908,plain,
% 0.87/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s92) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s92))),
% 0.87/1.08 inference(modus_ponens,[status(thm)],[4907, 4906])).
% 0.87/1.08 tff(4909,plain,
% 0.87/1.08 ($false),
% 0.87/1.08 inference(unit_resolution,[status(thm)],[4908, 3037, 4902, 3085, 4901, 4303])).
% 0.87/1.08 tff(4910,plain,((~trans(s99, s92)) | until2p7(s92) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.87/1.08 tff(4911,plain,
% 0.87/1.08 (~trans(s99, s92)),
% 0.87/1.08 inference(unit_resolution,[status(thm)],[4910, 3208, 3026])).
% 0.87/1.08 tff(4912,assumption,(~until2p7(s36)), introduced(assumption)).
% 0.87/1.08 tff(4913,assumption,(trans(s99, s36)), introduced(assumption)).
% 0.87/1.08 tff(4914,plain,
% 0.87/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s36) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s36)))),
% 0.87/1.08 inference(rewrite,[status(thm)],[])).
% 0.87/1.08 tff(4915,plain,
% 0.87/1.08 (((~trans(s99, s36)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s36)) <=> (until2p7(s36) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s36)))),
% 0.87/1.08 inference(rewrite,[status(thm)],[])).
% 0.87/1.08 tff(4916,plain,
% 0.87/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s36)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s36) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s36))))),
% 0.87/1.08 inference(monotonicity,[status(thm)],[4915])).
% 0.87/1.08 tff(4917,plain,
% 0.87/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s36)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s36)))),
% 0.87/1.08 inference(transitivity,[status(thm)],[4916, 4914])).
% 0.87/1.08 tff(4918,plain,
% 0.87/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s36)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s36))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(4919,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s36))),
% 0.91/1.08 inference(modus_ponens,[status(thm)],[4918, 4917])).
% 0.91/1.08 tff(4920,plain,
% 0.91/1.08 ($false),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[4919, 3037, 4913, 3085, 4912, 4303])).
% 0.91/1.08 tff(4921,plain,((~trans(s99, s36)) | until2p7(s36) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.08 tff(4922,plain,
% 0.91/1.08 (~trans(s99, s36)),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[4921, 3913, 3026])).
% 0.91/1.08 tff(4923,assumption,(~until2p7(s99)), introduced(assumption)).
% 0.91/1.08 tff(4924,assumption,(trans(s99, s99)), introduced(assumption)).
% 0.91/1.08 tff(4925,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s99) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s99)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s99) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s99)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(4926,plain,
% 0.91/1.08 (((~trans(s99, s99)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s99)) <=> (until2p7(s99) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s99)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(4927,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s99)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s99) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s99))))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[4926])).
% 0.91/1.08 tff(4928,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s99)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s99) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s99)))),
% 0.91/1.08 inference(transitivity,[status(thm)],[4927, 4925])).
% 0.91/1.08 tff(4929,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s99)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s99))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(4930,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s99) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s99))),
% 0.91/1.08 inference(modus_ponens,[status(thm)],[4929, 4928])).
% 0.91/1.08 tff(4931,plain,
% 0.91/1.08 ($false),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[4930, 3037, 4924, 3085, 4923, 4303])).
% 0.91/1.08 tff(4932,plain,((~trans(s99, s99)) | until2p7(s99) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.08 tff(4933,plain,
% 0.91/1.08 (~trans(s99, s99)),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[4932, 3026, 3056])).
% 0.91/1.08 tff(4934,assumption,(~until2p7(s69)), introduced(assumption)).
% 0.91/1.08 tff(4935,assumption,(trans(s99, s69)), introduced(assumption)).
% 0.91/1.08 tff(4936,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s69) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s69)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s69) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s69)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(4937,plain,
% 0.91/1.08 (((~trans(s99, s69)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s69)) <=> (until2p7(s69) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s69)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(4938,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s69)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s69) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s69))))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[4937])).
% 0.91/1.08 tff(4939,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s69)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s69) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s69)))),
% 0.91/1.08 inference(transitivity,[status(thm)],[4938, 4936])).
% 0.91/1.08 tff(4940,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s69)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s69))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(4941,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s69) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s69))),
% 0.91/1.08 inference(modus_ponens,[status(thm)],[4940, 4939])).
% 0.91/1.08 tff(4942,plain,
% 0.91/1.08 ($false),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[4941, 3037, 4935, 3085, 4934, 4303])).
% 0.91/1.08 tff(4943,plain,((~trans(s99, s69)) | until2p7(s69) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.08 tff(4944,plain,
% 0.91/1.08 (~trans(s99, s69)),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[4943, 3484, 3026])).
% 0.91/1.08 tff(4945,assumption,(~until2p7(s43)), introduced(assumption)).
% 0.91/1.08 tff(4946,assumption,(trans(s99, s43)), introduced(assumption)).
% 0.91/1.08 tff(4947,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s43) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s43)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(4948,plain,
% 0.91/1.08 (((~trans(s99, s43)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s43)) <=> (until2p7(s43) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s43)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(4949,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s43)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s43) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s43))))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[4948])).
% 0.91/1.08 tff(4950,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s43)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s43)))),
% 0.91/1.08 inference(transitivity,[status(thm)],[4949, 4947])).
% 0.91/1.08 tff(4951,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s43)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s43))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(4952,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s43))),
% 0.91/1.08 inference(modus_ponens,[status(thm)],[4951, 4950])).
% 0.91/1.08 tff(4953,plain,
% 0.91/1.08 ($false),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[4952, 3037, 4946, 3085, 4945, 4303])).
% 0.91/1.08 tff(4954,plain,((~trans(s99, s43)) | until2p7(s43) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.08 tff(4955,plain,
% 0.91/1.08 (~trans(s99, s43)),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[4954, 3796, 3026])).
% 0.91/1.08 tff(4956,assumption,(~until2p7(s10)), introduced(assumption)).
% 0.91/1.08 tff(4957,assumption,(trans(s99, s10)), introduced(assumption)).
% 0.91/1.08 tff(4958,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s10) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s10)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(4959,plain,
% 0.91/1.08 (((~trans(s99, s10)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s10)) <=> (until2p7(s10) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s10)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(4960,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s10)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s10) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s10))))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[4959])).
% 0.91/1.08 tff(4961,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s10)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s10)))),
% 0.91/1.08 inference(transitivity,[status(thm)],[4960, 4958])).
% 0.91/1.08 tff(4962,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s10)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s10))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(4963,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s10))),
% 0.91/1.08 inference(modus_ponens,[status(thm)],[4962, 4961])).
% 0.91/1.08 tff(4964,plain,
% 0.91/1.08 ($false),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[4963, 3037, 4957, 3085, 4956, 4303])).
% 0.91/1.08 tff(4965,plain,((~trans(s99, s10)) | until2p7(s10) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.08 tff(4966,plain,
% 0.91/1.08 (~trans(s99, s10)),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[4965, 4540, 3026])).
% 0.91/1.08 tff(4967,assumption,(~until2p7(s62)), introduced(assumption)).
% 0.91/1.08 tff(4968,assumption,(trans(s99, s62)), introduced(assumption)).
% 0.91/1.08 tff(4969,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s62) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s62)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s62)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(4970,plain,
% 0.91/1.08 (((~trans(s99, s62)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s62)) <=> (until2p7(s62) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s62)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(4971,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s62)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s62) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s62))))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[4970])).
% 0.91/1.08 tff(4972,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s62)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s62)))),
% 0.91/1.08 inference(transitivity,[status(thm)],[4971, 4969])).
% 0.91/1.08 tff(4973,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s62)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s62))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(4974,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s62))),
% 0.91/1.08 inference(modus_ponens,[status(thm)],[4973, 4972])).
% 0.91/1.08 tff(4975,plain,
% 0.91/1.08 ($false),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[4974, 3037, 4968, 3085, 4967, 4303])).
% 0.91/1.08 tff(4976,plain,((~trans(s99, s62)) | until2p7(s62) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.08 tff(4977,plain,
% 0.91/1.08 (~trans(s99, s62)),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[4976, 3568, 3026])).
% 0.91/1.08 tff(4978,assumption,(~until2p7(s56)), introduced(assumption)).
% 0.91/1.08 tff(4979,assumption,(trans(s99, s56)), introduced(assumption)).
% 0.91/1.08 tff(4980,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s56) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s56)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s56) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s56)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(4981,plain,
% 0.91/1.08 (((~trans(s99, s56)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s56)) <=> (until2p7(s56) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s56)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(4982,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s56)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s56) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s56))))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[4981])).
% 0.91/1.08 tff(4983,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s56)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s56) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s56)))),
% 0.91/1.08 inference(transitivity,[status(thm)],[4982, 4980])).
% 0.91/1.08 tff(4984,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s56)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s56))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(4985,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s56) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s56))),
% 0.91/1.08 inference(modus_ponens,[status(thm)],[4984, 4983])).
% 0.91/1.08 tff(4986,plain,
% 0.91/1.08 ($false),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[4985, 3037, 4979, 3085, 4978, 4303])).
% 0.91/1.08 tff(4987,plain,((~trans(s99, s56)) | until2p7(s56) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.08 tff(4988,plain,
% 0.91/1.08 (~trans(s99, s56)),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[4987, 3640, 3026])).
% 0.91/1.08 tff(4989,assumption,(~until2p7(s50)), introduced(assumption)).
% 0.91/1.08 tff(4990,assumption,(trans(s99, s50)), introduced(assumption)).
% 0.91/1.08 tff(4991,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s50) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s50)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s50) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s50)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(4992,plain,
% 0.91/1.08 (((~trans(s99, s50)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s50)) <=> (until2p7(s50) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s50)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(4993,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s50)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s50) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s50))))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[4992])).
% 0.91/1.08 tff(4994,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s50)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s50) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s50)))),
% 0.91/1.08 inference(transitivity,[status(thm)],[4993, 4991])).
% 0.91/1.08 tff(4995,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s50)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s50))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(4996,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s50) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s50))),
% 0.91/1.08 inference(modus_ponens,[status(thm)],[4995, 4994])).
% 0.91/1.08 tff(4997,plain,
% 0.91/1.08 ($false),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[4996, 3037, 4990, 3085, 4989, 4303])).
% 0.91/1.08 tff(4998,plain,((~trans(s99, s50)) | until2p7(s50) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.08 tff(4999,plain,
% 0.91/1.08 (~trans(s99, s50)),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[4998, 3712, 3026])).
% 0.91/1.08 tff(5000,assumption,(~until2p7(s80)), introduced(assumption)).
% 0.91/1.08 tff(5001,assumption,(trans(s99, s80)), introduced(assumption)).
% 0.91/1.08 tff(5002,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s80) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s80)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s80) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s80)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(5003,plain,
% 0.91/1.08 (((~trans(s99, s80)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s80)) <=> (until2p7(s80) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s80)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(5004,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s80)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s80) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s80))))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[5003])).
% 0.91/1.08 tff(5005,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s80)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s80) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s80)))),
% 0.91/1.08 inference(transitivity,[status(thm)],[5004, 5002])).
% 0.91/1.08 tff(5006,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s80)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s80))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(5007,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s80) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s80))),
% 0.91/1.08 inference(modus_ponens,[status(thm)],[5006, 5005])).
% 0.91/1.08 tff(5008,plain,
% 0.91/1.08 ($false),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[5007, 3037, 5001, 3085, 5000, 4303])).
% 0.91/1.08 tff(5009,plain,((~trans(s99, s80)) | until2p7(s80) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.08 tff(5010,plain,
% 0.91/1.08 (~trans(s99, s80)),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[5009, 3352, 3026])).
% 0.91/1.08 tff(5011,assumption,(~until2p7(s12)), introduced(assumption)).
% 0.91/1.08 tff(5012,assumption,(trans(s99, s12)), introduced(assumption)).
% 0.91/1.08 tff(5013,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s12) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s12)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(5014,plain,
% 0.91/1.08 (((~trans(s99, s12)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s12)) <=> (until2p7(s12) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s12)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(5015,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s12)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s12) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s12))))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[5014])).
% 0.91/1.08 tff(5016,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s12)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s12)))),
% 0.91/1.08 inference(transitivity,[status(thm)],[5015, 5013])).
% 0.91/1.08 tff(5017,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s12)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s12))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(5018,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s12))),
% 0.91/1.08 inference(modus_ponens,[status(thm)],[5017, 5016])).
% 0.91/1.08 tff(5019,plain,
% 0.91/1.08 ($false),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[5018, 3037, 5012, 3085, 5011, 4303])).
% 0.91/1.08 tff(5020,plain,((~trans(s99, s12)) | until2p7(s12) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.08 tff(5021,plain,
% 0.91/1.08 (~trans(s99, s12)),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[5020, 4516, 3026])).
% 0.91/1.08 tff(5022,assumption,(~until2p7(s65)), introduced(assumption)).
% 0.91/1.08 tff(5023,assumption,(trans(s99, s65)), introduced(assumption)).
% 0.91/1.08 tff(5024,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s65) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s65)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s65) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s65)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(5025,plain,
% 0.91/1.08 (((~trans(s99, s65)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s65)) <=> (until2p7(s65) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s65)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(5026,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s65)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s65) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s65))))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[5025])).
% 0.91/1.08 tff(5027,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s65)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s65) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s65)))),
% 0.91/1.08 inference(transitivity,[status(thm)],[5026, 5024])).
% 0.91/1.08 tff(5028,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s65)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s65))),
% 0.91/1.08 inference(quant_inst,[status(thm)],[])).
% 0.91/1.08 tff(5029,plain,
% 0.91/1.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s65) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s65))),
% 0.91/1.08 inference(modus_ponens,[status(thm)],[5028, 5027])).
% 0.91/1.08 tff(5030,plain,
% 0.91/1.08 ($false),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[5029, 3037, 5023, 3085, 5022, 4303])).
% 0.91/1.08 tff(5031,plain,((~trans(s99, s65)) | until2p7(s65) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.08 tff(5032,plain,
% 0.91/1.08 (~trans(s99, s65)),
% 0.91/1.08 inference(unit_resolution,[status(thm)],[5031, 3532, 3026])).
% 0.91/1.08 tff(5033,assumption,(~until2p7(s51)), introduced(assumption)).
% 0.91/1.08 tff(5034,assumption,(trans(s99, s51)), introduced(assumption)).
% 0.91/1.08 tff(5035,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s51) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s51)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s51) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s51)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(5036,plain,
% 0.91/1.08 (((~trans(s99, s51)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s51)) <=> (until2p7(s51) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s51)))),
% 0.91/1.08 inference(rewrite,[status(thm)],[])).
% 0.91/1.08 tff(5037,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s51)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s51) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s51))))),
% 0.91/1.08 inference(monotonicity,[status(thm)],[5036])).
% 0.91/1.08 tff(5038,plain,
% 0.91/1.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s51)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s51) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s51)))),
% 0.91/1.09 inference(transitivity,[status(thm)],[5037, 5035])).
% 0.91/1.09 tff(5039,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s51)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s51))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5040,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s51) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s51))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5039, 5038])).
% 0.91/1.09 tff(5041,plain,
% 0.91/1.09 ($false),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5040, 3037, 5034, 3085, 5033, 4303])).
% 0.91/1.09 tff(5042,plain,((~trans(s99, s51)) | until2p7(s51) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.09 tff(5043,plain,
% 0.91/1.09 (~trans(s99, s51)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5042, 3700, 3026])).
% 0.91/1.09 tff(5044,assumption,(~until2p7(s18)), introduced(assumption)).
% 0.91/1.09 tff(5045,assumption,(trans(s99, s18)), introduced(assumption)).
% 0.91/1.09 tff(5046,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s18) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s18)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5047,plain,
% 0.91/1.09 (((~trans(s99, s18)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s18)) <=> (until2p7(s18) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s18)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5048,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s18)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s18) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s18))))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[5047])).
% 0.91/1.09 tff(5049,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s18)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s18)))),
% 0.91/1.09 inference(transitivity,[status(thm)],[5048, 5046])).
% 0.91/1.09 tff(5050,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s18)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s18))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5051,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s18))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5050, 5049])).
% 0.91/1.09 tff(5052,plain,
% 0.91/1.09 ($false),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5051, 3037, 5045, 3085, 5044, 4303])).
% 0.91/1.09 tff(5053,plain,((~trans(s99, s18)) | until2p7(s18) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.09 tff(5054,plain,
% 0.91/1.09 (~trans(s99, s18)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5053, 4232, 3026])).
% 0.91/1.09 tff(5055,assumption,(~until2p7(s45)), introduced(assumption)).
% 0.91/1.09 tff(5056,assumption,(trans(s99, s45)), introduced(assumption)).
% 0.91/1.09 tff(5057,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s45) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s45)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5058,plain,
% 0.91/1.09 (((~trans(s99, s45)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s45)) <=> (until2p7(s45) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s45)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5059,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s45)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s45) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s45))))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[5058])).
% 0.91/1.09 tff(5060,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s45)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s45)))),
% 0.91/1.09 inference(transitivity,[status(thm)],[5059, 5057])).
% 0.91/1.09 tff(5061,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s45)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s45))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5062,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s45))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5061, 5060])).
% 0.91/1.09 tff(5063,plain,
% 0.91/1.09 ($false),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5062, 3037, 5056, 3085, 5055, 4303])).
% 0.91/1.09 tff(5064,plain,((~trans(s99, s45)) | until2p7(s45) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.09 tff(5065,plain,
% 0.91/1.09 (~trans(s99, s45)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5064, 3772, 3026])).
% 0.91/1.09 tff(5066,assumption,(~until2p7(s68)), introduced(assumption)).
% 0.91/1.09 tff(5067,assumption,(trans(s99, s68)), introduced(assumption)).
% 0.91/1.09 tff(5068,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s68) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s68)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s68) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s68)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5069,plain,
% 0.91/1.09 (((~trans(s99, s68)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s68)) <=> (until2p7(s68) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s68)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5070,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s68)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s68) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s68))))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[5069])).
% 0.91/1.09 tff(5071,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s68)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s68) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s68)))),
% 0.91/1.09 inference(transitivity,[status(thm)],[5070, 5068])).
% 0.91/1.09 tff(5072,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s68)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s68))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5073,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s68) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s68))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5072, 5071])).
% 0.91/1.09 tff(5074,plain,
% 0.91/1.09 ($false),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5073, 3037, 5067, 3085, 5066, 4303])).
% 0.91/1.09 tff(5075,plain,((~trans(s99, s68)) | until2p7(s68) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.09 tff(5076,plain,
% 0.91/1.09 (~trans(s99, s68)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5075, 3496, 3026])).
% 0.91/1.09 tff(5077,assumption,(~until2p7(s26)), introduced(assumption)).
% 0.91/1.09 tff(5078,assumption,(trans(s99, s26)), introduced(assumption)).
% 0.91/1.09 tff(5079,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s26) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s26)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5080,plain,
% 0.91/1.09 (((~trans(s99, s26)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s26)) <=> (until2p7(s26) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s26)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5081,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s26)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s26) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s26))))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[5080])).
% 0.91/1.09 tff(5082,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s26)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s26)))),
% 0.91/1.09 inference(transitivity,[status(thm)],[5081, 5079])).
% 0.91/1.09 tff(5083,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s26)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s26))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5084,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s26))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5083, 5082])).
% 0.91/1.09 tff(5085,plain,
% 0.91/1.09 ($false),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5084, 3037, 5078, 3085, 5077, 4303])).
% 0.91/1.09 tff(5086,plain,((~trans(s99, s26)) | until2p7(s26) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.09 tff(5087,plain,
% 0.91/1.09 (~trans(s99, s26)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5086, 4102, 3026])).
% 0.91/1.09 tff(5088,assumption,(~until2p7(s75)), introduced(assumption)).
% 0.91/1.09 tff(5089,assumption,(trans(s99, s75)), introduced(assumption)).
% 0.91/1.09 tff(5090,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s75) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s75)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s75) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s75)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5091,plain,
% 0.91/1.09 (((~trans(s99, s75)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s75)) <=> (until2p7(s75) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s75)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5092,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s75)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s75) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s75))))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[5091])).
% 0.91/1.09 tff(5093,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s75)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s75) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s75)))),
% 0.91/1.09 inference(transitivity,[status(thm)],[5092, 5090])).
% 0.91/1.09 tff(5094,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s75)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s75))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5095,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s75) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s75))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5094, 5093])).
% 0.91/1.09 tff(5096,plain,
% 0.91/1.09 ($false),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5095, 3037, 5089, 3085, 5088, 4303])).
% 0.91/1.09 tff(5097,plain,((~trans(s99, s75)) | until2p7(s75) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.09 tff(5098,plain,
% 0.91/1.09 (~trans(s99, s75)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5097, 3412, 3026])).
% 0.91/1.09 tff(5099,assumption,(~until2p7(s8)), introduced(assumption)).
% 0.91/1.09 tff(5100,assumption,(trans(s99, s8)), introduced(assumption)).
% 0.91/1.09 tff(5101,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s8) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s8)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5102,plain,
% 0.91/1.09 (((~trans(s99, s8)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s8)) <=> (until2p7(s8) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s8)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5103,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s8)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s8) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s8))))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[5102])).
% 0.91/1.09 tff(5104,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s8)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s8)))),
% 0.91/1.09 inference(transitivity,[status(thm)],[5103, 5101])).
% 0.91/1.09 tff(5105,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s8)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s8))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5106,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s8))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5105, 5104])).
% 0.91/1.09 tff(5107,plain,
% 0.91/1.09 ($false),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5106, 3037, 5100, 3085, 5099, 4303])).
% 0.91/1.09 tff(5108,plain,((~trans(s99, s8)) | until2p7(s8) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.09 tff(5109,plain,
% 0.91/1.09 (~trans(s99, s8)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5108, 4597, 3026])).
% 0.91/1.09 tff(5110,assumption,(~until2p7(s72)), introduced(assumption)).
% 0.91/1.09 tff(5111,assumption,(trans(s99, s72)), introduced(assumption)).
% 0.91/1.09 tff(5112,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s72) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s72)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s72) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s72)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5113,plain,
% 0.91/1.09 (((~trans(s99, s72)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s72)) <=> (until2p7(s72) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s72)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5114,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s72)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s72) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s72))))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[5113])).
% 0.91/1.09 tff(5115,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s72)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s72) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s72)))),
% 0.91/1.09 inference(transitivity,[status(thm)],[5114, 5112])).
% 0.91/1.09 tff(5116,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s72)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s72))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5117,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s72) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s72))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5116, 5115])).
% 0.91/1.09 tff(5118,plain,
% 0.91/1.09 ($false),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5117, 3037, 5111, 3085, 5110, 4303])).
% 0.91/1.09 tff(5119,plain,((~trans(s99, s72)) | until2p7(s72) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.09 tff(5120,plain,
% 0.91/1.09 (~trans(s99, s72)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5119, 3448, 3026])).
% 0.91/1.09 tff(5121,assumption,(~until2p7(s81)), introduced(assumption)).
% 0.91/1.09 tff(5122,assumption,(trans(s99, s81)), introduced(assumption)).
% 0.91/1.09 tff(5123,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s81) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s81)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s81) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s81)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5124,plain,
% 0.91/1.09 (((~trans(s99, s81)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s81)) <=> (until2p7(s81) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s81)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5125,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s81)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s81) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s81))))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[5124])).
% 0.91/1.09 tff(5126,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s81)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s81) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s81)))),
% 0.91/1.09 inference(transitivity,[status(thm)],[5125, 5123])).
% 0.91/1.09 tff(5127,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s81)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s81))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5128,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s81) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s81))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 0.91/1.09 tff(5129,plain,
% 0.91/1.09 ($false),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5128, 3037, 5122, 3085, 5121, 4303])).
% 0.91/1.09 tff(5130,plain,((~trans(s99, s81)) | until2p7(s81) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.09 tff(5131,plain,
% 0.91/1.09 (~trans(s99, s81)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5130, 3340, 3026])).
% 0.91/1.09 tff(5132,assumption,(~until2p7(s35)), introduced(assumption)).
% 0.91/1.09 tff(5133,assumption,(trans(s99, s35)), introduced(assumption)).
% 0.91/1.09 tff(5134,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s35) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s35)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5135,plain,
% 0.91/1.09 (((~trans(s99, s35)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s35)) <=> (until2p7(s35) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s35)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5136,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s35)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s35) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s35))))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[5135])).
% 0.91/1.09 tff(5137,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s35)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s35)))),
% 0.91/1.09 inference(transitivity,[status(thm)],[5136, 5134])).
% 0.91/1.09 tff(5138,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s35)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s35))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5139,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s35))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5138, 5137])).
% 0.91/1.09 tff(5140,plain,
% 0.91/1.09 ($false),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5139, 3037, 5133, 3085, 5132, 4303])).
% 0.91/1.09 tff(5141,plain,((~trans(s99, s35)) | until2p7(s35) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.09 tff(5142,plain,
% 0.91/1.09 (~trans(s99, s35)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5141, 3926, 3026])).
% 0.91/1.09 tff(5143,assumption,(~until2p7(s30)), introduced(assumption)).
% 0.91/1.09 tff(5144,assumption,(trans(s99, s30)), introduced(assumption)).
% 0.91/1.09 tff(5145,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s30) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s30)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5146,plain,
% 0.91/1.09 (((~trans(s99, s30)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s30)) <=> (until2p7(s30) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s30)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5147,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s30)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s30) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s30))))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[5146])).
% 0.91/1.09 tff(5148,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s30)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s30)))),
% 0.91/1.09 inference(transitivity,[status(thm)],[5147, 5145])).
% 0.91/1.09 tff(5149,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s30)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s30))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5150,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s30))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5149, 5148])).
% 0.91/1.09 tff(5151,plain,
% 0.91/1.09 ($false),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5150, 3037, 5144, 3085, 5143, 4303])).
% 0.91/1.09 tff(5152,plain,((~trans(s99, s30)) | until2p7(s30) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.09 tff(5153,plain,
% 0.91/1.09 (~trans(s99, s30)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5152, 4020, 3026])).
% 0.91/1.09 tff(5154,plain,
% 0.91/1.09 (((~![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)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5155,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1)))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5156,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5155, 5154])).
% 0.91/1.09 tff(5157,plain,
% 0.91/1.09 (until2p7(s2) | (~xuntil2p8(s1))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5156, 2090, 3066])).
% 0.91/1.09 tff(5158,plain,
% 0.91/1.09 (~xuntil2p8(s1)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5157, 4669])).
% 0.91/1.09 tff(5159,plain,
% 0.91/1.09 (~always3(s1)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[2098, 4663])).
% 0.91/1.09 tff(5160,plain,
% 0.91/1.09 (~node4(s1)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[2102, 595, 5159])).
% 0.91/1.09 tff(5161,plain,
% 0.91/1.09 (((~![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)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5162,plain,
% 0.91/1.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s1) | xuntil2p8(s1) | (~until2p7(s1)))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5163,plain,
% 0.91/1.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s1) | xuntil2p8(s1) | (~until2p7(s1))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5162, 5161])).
% 0.91/1.09 tff(5164,plain,
% 0.91/1.09 (xuntil2p8(s1) | (~until2p7(s1))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5163, 3051, 5160])).
% 0.91/1.09 tff(5165,plain,
% 0.91/1.09 (~until2p7(s1)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5164, 5158])).
% 0.91/1.09 tff(5166,plain,
% 0.91/1.09 (((~![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)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5167,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0)))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5168,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5167, 5166])).
% 0.91/1.09 tff(5169,plain,
% 0.91/1.09 (until2p7(s1) | (~xuntil2p8(s0))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5168, 2106, 3066])).
% 0.91/1.09 tff(5170,plain,
% 0.91/1.09 (~xuntil2p8(s0)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5169, 5165])).
% 0.91/1.09 tff(5171,plain,
% 0.91/1.09 (~always3(s0)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[2114, 5159])).
% 0.91/1.09 tff(5172,plain,
% 0.91/1.09 (~node4(s0)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[2118, 595, 5171])).
% 0.91/1.09 tff(5173,plain,
% 0.91/1.09 (((~![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)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5174,plain,
% 0.91/1.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s0) | xuntil2p8(s0) | (~until2p7(s0)))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5175,plain,
% 0.91/1.09 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s0) | xuntil2p8(s0) | (~until2p7(s0))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5174, 5173])).
% 0.91/1.09 tff(5176,plain,
% 0.91/1.09 (xuntil2p8(s0) | (~until2p7(s0))),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5175, 3051, 5172])).
% 0.91/1.09 tff(5177,plain,
% 0.91/1.09 (~until2p7(s0)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5176, 5170])).
% 0.91/1.09 tff(5178,assumption,(~until2p7(s0)), introduced(assumption)).
% 0.91/1.09 tff(5179,assumption,(trans(s99, s0)), introduced(assumption)).
% 0.91/1.09 tff(5180,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~last(s99)) | (~xuntil6(s99)) | until2p7(s0) | (~trans(s99, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s0) | (~trans(s99, s0)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5181,plain,
% 0.91/1.09 (((~trans(s99, s0)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s0)) <=> ((~last(s99)) | (~xuntil6(s99)) | until2p7(s0) | (~trans(s99, s0)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5182,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s0)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~last(s99)) | (~xuntil6(s99)) | until2p7(s0) | (~trans(s99, s0))))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[5181])).
% 0.91/1.09 tff(5183,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s0)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s0) | (~trans(s99, s0)))),
% 0.91/1.09 inference(transitivity,[status(thm)],[5182, 5180])).
% 0.91/1.09 tff(5184,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s0)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s0))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5185,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s0) | (~trans(s99, s0))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5184, 5183])).
% 0.91/1.09 tff(5186,plain,
% 0.91/1.09 ($false),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5185, 3037, 5179, 3085, 4303, 5178])).
% 0.91/1.09 tff(5187,plain,((~trans(s99, s0)) | (~xuntil6(s99)) | until2p7(s0)), inference(lemma,lemma(discharge,[]))).
% 0.91/1.09 tff(5188,plain,
% 0.91/1.09 (~trans(s99, s0)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5187, 5177, 3026])).
% 0.91/1.09 tff(5189,assumption,(~until2p7(s3)), introduced(assumption)).
% 0.91/1.09 tff(5190,assumption,(trans(s99, s3)), introduced(assumption)).
% 0.91/1.09 tff(5191,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s3) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s3)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5192,plain,
% 0.91/1.09 (((~trans(s99, s3)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s3)) <=> (until2p7(s3) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s3)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.09 tff(5193,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s3)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s3) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s3))))),
% 0.91/1.09 inference(monotonicity,[status(thm)],[5192])).
% 0.91/1.09 tff(5194,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s3)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s3)))),
% 0.91/1.09 inference(transitivity,[status(thm)],[5193, 5191])).
% 0.91/1.09 tff(5195,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s3)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s3))),
% 0.91/1.09 inference(quant_inst,[status(thm)],[])).
% 0.91/1.09 tff(5196,plain,
% 0.91/1.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s3))),
% 0.91/1.09 inference(modus_ponens,[status(thm)],[5195, 5194])).
% 0.91/1.09 tff(5197,plain,
% 0.91/1.09 ($false),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5196, 3037, 5190, 3085, 5189, 4303])).
% 0.91/1.09 tff(5198,plain,((~trans(s99, s3)) | until2p7(s3) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.09 tff(5199,plain,
% 0.91/1.09 (~trans(s99, s3)),
% 0.91/1.09 inference(unit_resolution,[status(thm)],[5198, 4657, 3026])).
% 0.91/1.09 tff(5200,assumption,(~until2p7(s23)), introduced(assumption)).
% 0.91/1.09 tff(5201,assumption,(trans(s99, s23)), introduced(assumption)).
% 0.91/1.09 tff(5202,plain,
% 0.91/1.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s23) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s23)))),
% 0.91/1.09 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5203,plain,
% 0.91/1.10 (((~trans(s99, s23)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s23)) <=> (until2p7(s23) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s23)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5204,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s23)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s23) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s23))))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[5203])).
% 0.91/1.10 tff(5205,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s23)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s23)))),
% 0.91/1.10 inference(transitivity,[status(thm)],[5204, 5202])).
% 0.91/1.10 tff(5206,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s23)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s23))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(5207,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s23))),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[5206, 5205])).
% 0.91/1.10 tff(5208,plain,
% 0.91/1.10 ($false),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5207, 3037, 5201, 3085, 5200, 4303])).
% 0.91/1.10 tff(5209,plain,((~trans(s99, s23)) | until2p7(s23) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.10 tff(5210,plain,
% 0.91/1.10 (~trans(s99, s23)),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5209, 4171, 3026])).
% 0.91/1.10 tff(5211,assumption,(~until2p7(s71)), introduced(assumption)).
% 0.91/1.10 tff(5212,assumption,(trans(s99, s71)), introduced(assumption)).
% 0.91/1.10 tff(5213,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s71) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s71)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s71) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s71)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5214,plain,
% 0.91/1.10 (((~trans(s99, s71)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s71)) <=> (until2p7(s71) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s71)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5215,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s71)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s71) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s71))))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[5214])).
% 0.91/1.10 tff(5216,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s71)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s71) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s71)))),
% 0.91/1.10 inference(transitivity,[status(thm)],[5215, 5213])).
% 0.91/1.10 tff(5217,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s71)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s71))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(5218,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s71) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s71))),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[5217, 5216])).
% 0.91/1.10 tff(5219,plain,
% 0.91/1.10 ($false),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5218, 3037, 5212, 3085, 5211, 4303])).
% 0.91/1.10 tff(5220,plain,((~trans(s99, s71)) | until2p7(s71) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.10 tff(5221,plain,
% 0.91/1.10 (~trans(s99, s71)),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5220, 3460, 3026])).
% 0.91/1.10 tff(5222,assumption,(~until2p7(s66)), introduced(assumption)).
% 0.91/1.10 tff(5223,assumption,(trans(s99, s66)), introduced(assumption)).
% 0.91/1.10 tff(5224,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s66) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s66)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s66) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s66)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5225,plain,
% 0.91/1.10 (((~trans(s99, s66)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s66)) <=> (until2p7(s66) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s66)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5226,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s66)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s66) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s66))))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[5225])).
% 0.91/1.10 tff(5227,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s66)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s66) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s66)))),
% 0.91/1.10 inference(transitivity,[status(thm)],[5226, 5224])).
% 0.91/1.10 tff(5228,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s66)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s66))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(5229,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s66) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s66))),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[5228, 5227])).
% 0.91/1.10 tff(5230,plain,
% 0.91/1.10 ($false),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5229, 3037, 5223, 3085, 5222, 4303])).
% 0.91/1.10 tff(5231,plain,((~trans(s99, s66)) | until2p7(s66) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.10 tff(5232,plain,
% 0.91/1.10 (~trans(s99, s66)),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5231, 3520, 3026])).
% 0.91/1.10 tff(5233,assumption,(~until2p7(s27)), introduced(assumption)).
% 0.91/1.10 tff(5234,assumption,(trans(s99, s27)), introduced(assumption)).
% 0.91/1.10 tff(5235,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s27) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s27)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5236,plain,
% 0.91/1.10 (((~trans(s99, s27)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s27)) <=> (until2p7(s27) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s27)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5237,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s27)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s27) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s27))))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[5236])).
% 0.91/1.10 tff(5238,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s27)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s27)))),
% 0.91/1.10 inference(transitivity,[status(thm)],[5237, 5235])).
% 0.91/1.10 tff(5239,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s27)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s27))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(5240,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s27))),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[5239, 5238])).
% 0.91/1.10 tff(5241,plain,
% 0.91/1.10 ($false),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5240, 3037, 5234, 3085, 5233, 4303])).
% 0.91/1.10 tff(5242,plain,((~trans(s99, s27)) | until2p7(s27) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.10 tff(5243,plain,
% 0.91/1.10 (~trans(s99, s27)),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5242, 4089, 3026])).
% 0.91/1.10 tff(5244,assumption,(~until2p7(s24)), introduced(assumption)).
% 0.91/1.10 tff(5245,assumption,(trans(s99, s24)), introduced(assumption)).
% 0.91/1.10 tff(5246,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s24) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s24)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5247,plain,
% 0.91/1.10 (((~trans(s99, s24)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s24)) <=> (until2p7(s24) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s24)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5248,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s24)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s24) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s24))))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[5247])).
% 0.91/1.10 tff(5249,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s24)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s24)))),
% 0.91/1.10 inference(transitivity,[status(thm)],[5248, 5246])).
% 0.91/1.10 tff(5250,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s24)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s24))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(5251,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s24))),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[5250, 5249])).
% 0.91/1.10 tff(5252,plain,
% 0.91/1.10 ($false),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5251, 3037, 5245, 3085, 5244, 4303])).
% 0.91/1.10 tff(5253,plain,((~trans(s99, s24)) | until2p7(s24) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.10 tff(5254,plain,
% 0.91/1.10 (~trans(s99, s24)),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5253, 4126, 3026])).
% 0.91/1.10 tff(5255,assumption,(~until2p7(s90)), introduced(assumption)).
% 0.91/1.10 tff(5256,assumption,(trans(s99, s90)), introduced(assumption)).
% 0.91/1.10 tff(5257,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s90) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s90)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s90) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s90)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5258,plain,
% 0.91/1.10 (((~trans(s99, s90)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s90)) <=> (until2p7(s90) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s90)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5259,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s90)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s90) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s90))))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[5258])).
% 0.91/1.10 tff(5260,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s90)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s90) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s90)))),
% 0.91/1.10 inference(transitivity,[status(thm)],[5259, 5257])).
% 0.91/1.10 tff(5261,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s90)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s90))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(5262,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s90) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s90))),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[5261, 5260])).
% 0.91/1.10 tff(5263,plain,
% 0.91/1.10 ($false),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5262, 3037, 5256, 3085, 5255, 4303])).
% 0.91/1.10 tff(5264,plain,((~trans(s99, s90)) | until2p7(s90) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.10 tff(5265,plain,
% 0.91/1.10 (~trans(s99, s90)),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5264, 3232, 3026])).
% 0.91/1.10 tff(5266,assumption,(~until2p7(s55)), introduced(assumption)).
% 0.91/1.10 tff(5267,assumption,(trans(s99, s55)), introduced(assumption)).
% 0.91/1.10 tff(5268,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s55) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s55)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s55) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s55)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5269,plain,
% 0.91/1.10 (((~trans(s99, s55)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s55)) <=> (until2p7(s55) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s55)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5270,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s55)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s55) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s55))))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[5269])).
% 0.91/1.10 tff(5271,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s55)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s55) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s55)))),
% 0.91/1.10 inference(transitivity,[status(thm)],[5270, 5268])).
% 0.91/1.10 tff(5272,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s55)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s55))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(5273,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s55) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s55))),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[5272, 5271])).
% 0.91/1.10 tff(5274,plain,
% 0.91/1.10 ($false),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5273, 3037, 5267, 3085, 5266, 4303])).
% 0.91/1.10 tff(5275,plain,((~trans(s99, s55)) | until2p7(s55) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.10 tff(5276,plain,
% 0.91/1.10 (~trans(s99, s55)),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5275, 3652, 3026])).
% 0.91/1.10 tff(5277,assumption,(~until2p7(s32)), introduced(assumption)).
% 0.91/1.10 tff(5278,assumption,(trans(s99, s32)), introduced(assumption)).
% 0.91/1.10 tff(5279,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s32) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s32)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5280,plain,
% 0.91/1.10 (((~trans(s99, s32)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s32)) <=> (until2p7(s32) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s32)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5281,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s32)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s32) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s32))))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[5280])).
% 0.91/1.10 tff(5282,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s32)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s32)))),
% 0.91/1.10 inference(transitivity,[status(thm)],[5281, 5279])).
% 0.91/1.10 tff(5283,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s32)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s32))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(5284,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s32))),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[5283, 5282])).
% 0.91/1.10 tff(5285,plain,
% 0.91/1.10 ($false),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5284, 3037, 5278, 3085, 5277, 4303])).
% 0.91/1.10 tff(5286,plain,((~trans(s99, s32)) | until2p7(s32) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.10 tff(5287,plain,
% 0.91/1.10 (~trans(s99, s32)),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5286, 3995, 3026])).
% 0.91/1.10 tff(5288,assumption,(~until2p7(s14)), introduced(assumption)).
% 0.91/1.10 tff(5289,assumption,(trans(s99, s14)), introduced(assumption)).
% 0.91/1.10 tff(5290,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s14) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s14)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5291,plain,
% 0.91/1.10 (((~trans(s99, s14)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s14)) <=> (until2p7(s14) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s14)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5292,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s14)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s14) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s14))))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[5291])).
% 0.91/1.10 tff(5293,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s14)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s14)))),
% 0.91/1.10 inference(transitivity,[status(thm)],[5292, 5290])).
% 0.91/1.10 tff(5294,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s14)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s14))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(5295,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s14))),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[5294, 5293])).
% 0.91/1.10 tff(5296,plain,
% 0.91/1.10 ($false),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5295, 3037, 5289, 3085, 5288, 4303])).
% 0.91/1.10 tff(5297,plain,((~trans(s99, s14)) | until2p7(s14) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.10 tff(5298,plain,
% 0.91/1.10 (~trans(s99, s14)),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5297, 4458, 3026])).
% 0.91/1.10 tff(5299,assumption,(~until2p7(s57)), introduced(assumption)).
% 0.91/1.10 tff(5300,assumption,(trans(s99, s57)), introduced(assumption)).
% 0.91/1.10 tff(5301,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s57) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s57)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s57) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s57)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5302,plain,
% 0.91/1.10 (((~trans(s99, s57)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s57)) <=> (until2p7(s57) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s57)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5303,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s57)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s57) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s57))))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[5302])).
% 0.91/1.10 tff(5304,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s57)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s57) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s57)))),
% 0.91/1.10 inference(transitivity,[status(thm)],[5303, 5301])).
% 0.91/1.10 tff(5305,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s57)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s57))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(5306,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s57) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s57))),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[5305, 5304])).
% 0.91/1.10 tff(5307,plain,
% 0.91/1.10 ($false),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5306, 3037, 5300, 3085, 5299, 4303])).
% 0.91/1.10 tff(5308,plain,((~trans(s99, s57)) | until2p7(s57) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.10 tff(5309,plain,
% 0.91/1.10 (~trans(s99, s57)),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5308, 3628, 3026])).
% 0.91/1.10 tff(5310,assumption,(~until2p7(s17)), introduced(assumption)).
% 0.91/1.10 tff(5311,assumption,(trans(s99, s17)), introduced(assumption)).
% 0.91/1.10 tff(5312,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s17) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s17)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5313,plain,
% 0.91/1.10 (((~trans(s99, s17)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s17)) <=> (until2p7(s17) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s17)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5314,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s17)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s17) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s17))))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[5313])).
% 0.91/1.10 tff(5315,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s17)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s17)))),
% 0.91/1.10 inference(transitivity,[status(thm)],[5314, 5312])).
% 0.91/1.10 tff(5316,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s17)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s17))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(5317,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s17))),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[5316, 5315])).
% 0.91/1.10 tff(5318,plain,
% 0.91/1.10 ($false),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5317, 3037, 5311, 3085, 5310, 4303])).
% 0.91/1.10 tff(5319,plain,((~trans(s99, s17)) | until2p7(s17) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.10 tff(5320,plain,
% 0.91/1.10 (~trans(s99, s17)),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5319, 4244, 3026])).
% 0.91/1.10 tff(5321,assumption,(~until2p7(s60)), introduced(assumption)).
% 0.91/1.10 tff(5322,assumption,(trans(s99, s60)), introduced(assumption)).
% 0.91/1.10 tff(5323,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s60) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s60)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s60) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s60)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5324,plain,
% 0.91/1.10 (((~trans(s99, s60)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s60)) <=> (until2p7(s60) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s60)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5325,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s60)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s60) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s60))))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[5324])).
% 0.91/1.10 tff(5326,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s60)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s60) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s60)))),
% 0.91/1.10 inference(transitivity,[status(thm)],[5325, 5323])).
% 0.91/1.10 tff(5327,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s60)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s60))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(5328,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s60) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s60))),
% 0.91/1.10 inference(modus_ponens,[status(thm)],[5327, 5326])).
% 0.91/1.10 tff(5329,plain,
% 0.91/1.10 ($false),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5328, 3037, 5322, 3085, 5321, 4303])).
% 0.91/1.10 tff(5330,plain,((~trans(s99, s60)) | until2p7(s60) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.10 tff(5331,plain,
% 0.91/1.10 (~trans(s99, s60)),
% 0.91/1.10 inference(unit_resolution,[status(thm)],[5330, 3592, 3026])).
% 0.91/1.10 tff(5332,assumption,(~until2p7(s7)), introduced(assumption)).
% 0.91/1.10 tff(5333,assumption,(trans(s99, s7)), introduced(assumption)).
% 0.91/1.10 tff(5334,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s7) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s7)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5335,plain,
% 0.91/1.10 (((~trans(s99, s7)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s7)) <=> (until2p7(s7) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s7)))),
% 0.91/1.10 inference(rewrite,[status(thm)],[])).
% 0.91/1.10 tff(5336,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s7)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s7) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s7))))),
% 0.91/1.10 inference(monotonicity,[status(thm)],[5335])).
% 0.91/1.10 tff(5337,plain,
% 0.91/1.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s7)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s7)))),
% 0.91/1.10 inference(transitivity,[status(thm)],[5336, 5334])).
% 0.91/1.10 tff(5338,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s7)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s7))),
% 0.91/1.10 inference(quant_inst,[status(thm)],[])).
% 0.91/1.10 tff(5339,plain,
% 0.91/1.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s7))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[5338, 5337])).
% 0.91/1.11 tff(5340,plain,
% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5339, 3037, 5333, 3085, 5332, 4303])).
% 0.91/1.11 tff(5341,plain,((~trans(s99, s7)) | until2p7(s7) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.11 tff(5342,plain,
% 0.91/1.11 (~trans(s99, s7)),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5341, 4609, 3026])).
% 0.91/1.11 tff(5343,assumption,(~until2p7(s59)), introduced(assumption)).
% 0.91/1.11 tff(5344,assumption,(trans(s99, s59)), introduced(assumption)).
% 0.91/1.11 tff(5345,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s59) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s59)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s59) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s59)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5346,plain,
% 0.91/1.11 (((~trans(s99, s59)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s59)) <=> (until2p7(s59) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s59)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5347,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s59)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s59) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s59))))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[5346])).
% 0.91/1.11 tff(5348,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s59)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s59) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s59)))),
% 0.91/1.11 inference(transitivity,[status(thm)],[5347, 5345])).
% 0.91/1.11 tff(5349,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s59)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s59))),
% 0.91/1.11 inference(quant_inst,[status(thm)],[])).
% 0.91/1.11 tff(5350,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s59) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s59))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[5349, 5348])).
% 0.91/1.11 tff(5351,plain,
% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5350, 3037, 5344, 3085, 5343, 4303])).
% 0.91/1.11 tff(5352,plain,((~trans(s99, s59)) | until2p7(s59) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.11 tff(5353,plain,
% 0.91/1.11 (~trans(s99, s59)),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5352, 3604, 3026])).
% 0.91/1.11 tff(5354,assumption,(~until2p7(s1)), introduced(assumption)).
% 0.91/1.11 tff(5355,assumption,(trans(s99, s1)), introduced(assumption)).
% 0.91/1.11 tff(5356,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s1) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s1)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5357,plain,
% 0.91/1.11 (((~trans(s99, s1)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s1)) <=> (until2p7(s1) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s1)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5358,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s1)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s1) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s1))))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[5357])).
% 0.91/1.11 tff(5359,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s1)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s1)))),
% 0.91/1.11 inference(transitivity,[status(thm)],[5358, 5356])).
% 0.91/1.11 tff(5360,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s1)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s1))),
% 0.91/1.11 inference(quant_inst,[status(thm)],[])).
% 0.91/1.11 tff(5361,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s1))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[5360, 5359])).
% 0.91/1.11 tff(5362,plain,
% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5361, 3037, 5355, 3085, 5354, 4303])).
% 0.91/1.11 tff(5363,plain,((~trans(s99, s1)) | until2p7(s1) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.11 tff(5364,plain,
% 0.91/1.11 (~trans(s99, s1)),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5363, 5165, 3026])).
% 0.91/1.11 tff(5365,assumption,(~until2p7(s78)), introduced(assumption)).
% 0.91/1.11 tff(5366,assumption,(trans(s99, s78)), introduced(assumption)).
% 0.91/1.11 tff(5367,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s78) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s78)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s78) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s78)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5368,plain,
% 0.91/1.11 (((~trans(s99, s78)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s78)) <=> (until2p7(s78) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s78)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5369,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s78)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s78) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s78))))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[5368])).
% 0.91/1.11 tff(5370,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s78)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s78) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s78)))),
% 0.91/1.11 inference(transitivity,[status(thm)],[5369, 5367])).
% 0.91/1.11 tff(5371,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s78)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s78))),
% 0.91/1.11 inference(quant_inst,[status(thm)],[])).
% 0.91/1.11 tff(5372,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s78) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s78))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[5371, 5370])).
% 0.91/1.11 tff(5373,plain,
% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5372, 3037, 5366, 3085, 5365, 4303])).
% 0.91/1.11 tff(5374,plain,((~trans(s99, s78)) | until2p7(s78) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.11 tff(5375,plain,
% 0.91/1.11 (~trans(s99, s78)),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5374, 3376, 3026])).
% 0.91/1.11 tff(5376,assumption,(~until2p7(s29)), introduced(assumption)).
% 0.91/1.11 tff(5377,assumption,(trans(s99, s29)), introduced(assumption)).
% 0.91/1.11 tff(5378,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s29) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s29)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5379,plain,
% 0.91/1.11 (((~trans(s99, s29)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s29)) <=> (until2p7(s29) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s29)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5380,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s29)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s29) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s29))))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[5379])).
% 0.91/1.11 tff(5381,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s29)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s29)))),
% 0.91/1.11 inference(transitivity,[status(thm)],[5380, 5378])).
% 0.91/1.11 tff(5382,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s29)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s29))),
% 0.91/1.11 inference(quant_inst,[status(thm)],[])).
% 0.91/1.11 tff(5383,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s29))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 0.91/1.11 tff(5384,plain,
% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5383, 3037, 5377, 3085, 5376, 4303])).
% 0.91/1.11 tff(5385,plain,((~trans(s99, s29)) | until2p7(s29) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.11 tff(5386,plain,
% 0.91/1.11 (~trans(s99, s29)),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5385, 4032, 3026])).
% 0.91/1.11 tff(5387,assumption,(~until2p7(s40)), introduced(assumption)).
% 0.91/1.11 tff(5388,assumption,(trans(s99, s40)), introduced(assumption)).
% 0.91/1.11 tff(5389,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s40) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s40)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5390,plain,
% 0.91/1.11 (((~trans(s99, s40)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s40)) <=> (until2p7(s40) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s40)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5391,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s40)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s40) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s40))))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[5390])).
% 0.91/1.11 tff(5392,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s40)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s40)))),
% 0.91/1.11 inference(transitivity,[status(thm)],[5391, 5389])).
% 0.91/1.11 tff(5393,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s40)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s40))),
% 0.91/1.11 inference(quant_inst,[status(thm)],[])).
% 0.91/1.11 tff(5394,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s40))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[5393, 5392])).
% 0.91/1.11 tff(5395,plain,
% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5394, 3037, 5388, 3085, 5387, 4303])).
% 0.91/1.11 tff(5396,plain,((~trans(s99, s40)) | until2p7(s40) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.11 tff(5397,plain,
% 0.91/1.11 (~trans(s99, s40)),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5396, 3832, 3026])).
% 0.91/1.11 tff(5398,assumption,(~until2p7(s16)), introduced(assumption)).
% 0.91/1.11 tff(5399,assumption,(trans(s99, s16)), introduced(assumption)).
% 0.91/1.11 tff(5400,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s16) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s16)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5401,plain,
% 0.91/1.11 (((~trans(s99, s16)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s16)) <=> (until2p7(s16) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s16)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5402,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s16)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s16) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s16))))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[5401])).
% 0.91/1.11 tff(5403,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s16)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s16)))),
% 0.91/1.11 inference(transitivity,[status(thm)],[5402, 5400])).
% 0.91/1.11 tff(5404,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s16)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s16))),
% 0.91/1.11 inference(quant_inst,[status(thm)],[])).
% 0.91/1.11 tff(5405,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s16))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[5404, 5403])).
% 0.91/1.11 tff(5406,plain,
% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5405, 3037, 5399, 3085, 5398, 4303])).
% 0.91/1.11 tff(5407,plain,((~trans(s99, s16)) | until2p7(s16) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.11 tff(5408,plain,
% 0.91/1.11 (~trans(s99, s16)),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5407, 4289, 3026])).
% 0.91/1.11 tff(5409,assumption,(~until2p7(s70)), introduced(assumption)).
% 0.91/1.11 tff(5410,assumption,(trans(s99, s70)), introduced(assumption)).
% 0.91/1.11 tff(5411,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s70) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s70)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s70) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s70)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5412,plain,
% 0.91/1.11 (((~trans(s99, s70)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s70)) <=> (until2p7(s70) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s70)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5413,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s70)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s70) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s70))))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[5412])).
% 0.91/1.11 tff(5414,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s70)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s70) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s70)))),
% 0.91/1.11 inference(transitivity,[status(thm)],[5413, 5411])).
% 0.91/1.11 tff(5415,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s70)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s70))),
% 0.91/1.11 inference(quant_inst,[status(thm)],[])).
% 0.91/1.11 tff(5416,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s70) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s70))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[5415, 5414])).
% 0.91/1.11 tff(5417,plain,
% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5416, 3037, 5410, 3085, 5409, 4303])).
% 0.91/1.11 tff(5418,plain,((~trans(s99, s70)) | until2p7(s70) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.11 tff(5419,plain,
% 0.91/1.11 (~trans(s99, s70)),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5418, 3472, 3026])).
% 0.91/1.11 tff(5420,assumption,(~until2p7(s49)), introduced(assumption)).
% 0.91/1.11 tff(5421,assumption,(trans(s99, s49)), introduced(assumption)).
% 0.91/1.11 tff(5422,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s49) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s49)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s49)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5423,plain,
% 0.91/1.11 (((~trans(s99, s49)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s49)) <=> (until2p7(s49) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s49)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5424,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s49)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s49) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s49))))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[5423])).
% 0.91/1.11 tff(5425,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s49)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s49)))),
% 0.91/1.11 inference(transitivity,[status(thm)],[5424, 5422])).
% 0.91/1.11 tff(5426,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s49)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s49))),
% 0.91/1.11 inference(quant_inst,[status(thm)],[])).
% 0.91/1.11 tff(5427,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s49))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[5426, 5425])).
% 0.91/1.11 tff(5428,plain,
% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5427, 3037, 5421, 3085, 5420, 4303])).
% 0.91/1.11 tff(5429,plain,((~trans(s99, s49)) | until2p7(s49) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.11 tff(5430,plain,
% 0.91/1.11 (~trans(s99, s49)),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5429, 3724, 3026])).
% 0.91/1.11 tff(5431,assumption,(~until2p7(s21)), introduced(assumption)).
% 0.91/1.11 tff(5432,assumption,(trans(s99, s21)), introduced(assumption)).
% 0.91/1.11 tff(5433,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s21) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s21)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5434,plain,
% 0.91/1.11 (((~trans(s99, s21)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s21)) <=> (until2p7(s21) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s21)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5435,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s21)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s21) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s21))))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[5434])).
% 0.91/1.11 tff(5436,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s21)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s21)))),
% 0.91/1.11 inference(transitivity,[status(thm)],[5435, 5433])).
% 0.91/1.11 tff(5437,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s21)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s21))),
% 0.91/1.11 inference(quant_inst,[status(thm)],[])).
% 0.91/1.11 tff(5438,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s21))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[5437, 5436])).
% 0.91/1.11 tff(5439,plain,
% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5438, 3037, 5432, 3085, 5431, 4303])).
% 0.91/1.11 tff(5440,plain,((~trans(s99, s21)) | until2p7(s21) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.11 tff(5441,plain,
% 0.91/1.11 (~trans(s99, s21)),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5440, 4196, 3026])).
% 0.91/1.11 tff(5442,assumption,(~until2p7(s63)), introduced(assumption)).
% 0.91/1.11 tff(5443,assumption,(trans(s99, s63)), introduced(assumption)).
% 0.91/1.11 tff(5444,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s63) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s63)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s63) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s63)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5445,plain,
% 0.91/1.11 (((~trans(s99, s63)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s63)) <=> (until2p7(s63) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s63)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5446,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s63)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s63) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s63))))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[5445])).
% 0.91/1.11 tff(5447,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s63)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s63) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s63)))),
% 0.91/1.11 inference(transitivity,[status(thm)],[5446, 5444])).
% 0.91/1.11 tff(5448,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s63)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s63))),
% 0.91/1.11 inference(quant_inst,[status(thm)],[])).
% 0.91/1.11 tff(5449,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s63) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s63))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[5448, 5447])).
% 0.91/1.11 tff(5450,plain,
% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5449, 3037, 5443, 3085, 5442, 4303])).
% 0.91/1.11 tff(5451,plain,((~trans(s99, s63)) | until2p7(s63) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.11 tff(5452,plain,
% 0.91/1.11 (~trans(s99, s63)),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5451, 3556, 3026])).
% 0.91/1.11 tff(5453,assumption,(~until2p7(s64)), introduced(assumption)).
% 0.91/1.11 tff(5454,assumption,(trans(s99, s64)), introduced(assumption)).
% 0.91/1.11 tff(5455,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s64) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s64)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s64) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s64)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5456,plain,
% 0.91/1.11 (((~trans(s99, s64)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s64)) <=> (until2p7(s64) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s64)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5457,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s64)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s64) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s64))))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[5456])).
% 0.91/1.11 tff(5458,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s64)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s64) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s64)))),
% 0.91/1.11 inference(transitivity,[status(thm)],[5457, 5455])).
% 0.91/1.11 tff(5459,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s64)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s64))),
% 0.91/1.11 inference(quant_inst,[status(thm)],[])).
% 0.91/1.11 tff(5460,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s64) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s64))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[5459, 5458])).
% 0.91/1.11 tff(5461,plain,
% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5460, 3037, 5454, 3085, 5453, 4303])).
% 0.91/1.11 tff(5462,plain,((~trans(s99, s64)) | until2p7(s64) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.11 tff(5463,plain,
% 0.91/1.11 (~trans(s99, s64)),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5462, 3544, 3026])).
% 0.91/1.11 tff(5464,assumption,(~until2p7(s31)), introduced(assumption)).
% 0.91/1.11 tff(5465,assumption,(trans(s99, s31)), introduced(assumption)).
% 0.91/1.11 tff(5466,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s31) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s31)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5467,plain,
% 0.91/1.11 (((~trans(s99, s31)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s31)) <=> (until2p7(s31) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s31)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5468,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s31)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s31) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s31))))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[5467])).
% 0.91/1.11 tff(5469,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s31)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s31)))),
% 0.91/1.11 inference(transitivity,[status(thm)],[5468, 5466])).
% 0.91/1.11 tff(5470,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s31)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s31))),
% 0.91/1.11 inference(quant_inst,[status(thm)],[])).
% 0.91/1.11 tff(5471,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s31))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[5470, 5469])).
% 0.91/1.11 tff(5472,plain,
% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5471, 3037, 5465, 3085, 5464, 4303])).
% 0.91/1.11 tff(5473,plain,((~trans(s99, s31)) | until2p7(s31) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.11 tff(5474,plain,
% 0.91/1.11 (~trans(s99, s31)),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5473, 4008, 3026])).
% 0.91/1.11 tff(5475,assumption,(~until2p7(s79)), introduced(assumption)).
% 0.91/1.11 tff(5476,assumption,(trans(s99, s79)), introduced(assumption)).
% 0.91/1.11 tff(5477,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s79) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s79)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s79)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5478,plain,
% 0.91/1.11 (((~trans(s99, s79)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s79)) <=> (until2p7(s79) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s79)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5479,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s79)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s79) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s79))))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[5478])).
% 0.91/1.11 tff(5480,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s79)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s79)))),
% 0.91/1.11 inference(transitivity,[status(thm)],[5479, 5477])).
% 0.91/1.11 tff(5481,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s79)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s79))),
% 0.91/1.11 inference(quant_inst,[status(thm)],[])).
% 0.91/1.11 tff(5482,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s79))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[5481, 5480])).
% 0.91/1.11 tff(5483,plain,
% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5482, 3037, 5476, 3085, 5475, 4303])).
% 0.91/1.11 tff(5484,plain,((~trans(s99, s79)) | until2p7(s79) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.11 tff(5485,plain,
% 0.91/1.11 (~trans(s99, s79)),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5484, 3364, 3026])).
% 0.91/1.11 tff(5486,assumption,(~until2p7(s6)), introduced(assumption)).
% 0.91/1.11 tff(5487,assumption,(trans(s99, s6)), introduced(assumption)).
% 0.91/1.11 tff(5488,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s6) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s6)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5489,plain,
% 0.91/1.11 (((~trans(s99, s6)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s6)) <=> (until2p7(s6) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s6)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5490,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s6)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s6) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s6))))),
% 0.91/1.11 inference(monotonicity,[status(thm)],[5489])).
% 0.91/1.11 tff(5491,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s6)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s6)))),
% 0.91/1.11 inference(transitivity,[status(thm)],[5490, 5488])).
% 0.91/1.11 tff(5492,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s6)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s6))),
% 0.91/1.11 inference(quant_inst,[status(thm)],[])).
% 0.91/1.11 tff(5493,plain,
% 0.91/1.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s6))),
% 0.91/1.11 inference(modus_ponens,[status(thm)],[5492, 5491])).
% 0.91/1.11 tff(5494,plain,
% 0.91/1.11 ($false),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5493, 3037, 5487, 3085, 5486, 4303])).
% 0.91/1.11 tff(5495,plain,((~trans(s99, s6)) | until2p7(s6) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.11 tff(5496,plain,
% 0.91/1.11 (~trans(s99, s6)),
% 0.91/1.11 inference(unit_resolution,[status(thm)],[5495, 4621, 3026])).
% 0.91/1.11 tff(5497,assumption,(~until2p7(s86)), introduced(assumption)).
% 0.91/1.11 tff(5498,assumption,(trans(s99, s86)), introduced(assumption)).
% 0.91/1.11 tff(5499,plain,
% 0.91/1.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s86) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s86)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s86) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s86)))),
% 0.91/1.11 inference(rewrite,[status(thm)],[])).
% 0.91/1.11 tff(5500,plain,
% 0.91/1.11 (((~trans(s99, s86)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s86)) <=> (until2p7(s86) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s86)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5501,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s86)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s86) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s86))))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[5500])).
% 0.91/1.12 tff(5502,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s86)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s86) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s86)))),
% 0.91/1.12 inference(transitivity,[status(thm)],[5501, 5499])).
% 0.91/1.12 tff(5503,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s86)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s86))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(5504,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s86) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s86))),
% 0.91/1.12 inference(modus_ponens,[status(thm)],[5503, 5502])).
% 0.91/1.12 tff(5505,plain,
% 0.91/1.12 ($false),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5504, 3037, 5498, 3085, 5497, 4303])).
% 0.91/1.12 tff(5506,plain,((~trans(s99, s86)) | until2p7(s86) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.12 tff(5507,plain,
% 0.91/1.12 (~trans(s99, s86)),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5506, 3280, 3026])).
% 0.91/1.12 tff(5508,assumption,(~until2p7(s46)), introduced(assumption)).
% 0.91/1.12 tff(5509,assumption,(trans(s99, s46)), introduced(assumption)).
% 0.91/1.12 tff(5510,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s46) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s46)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5511,plain,
% 0.91/1.12 (((~trans(s99, s46)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s46)) <=> (until2p7(s46) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s46)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5512,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s46)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s46) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s46))))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[5511])).
% 0.91/1.12 tff(5513,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s46)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s46)))),
% 0.91/1.12 inference(transitivity,[status(thm)],[5512, 5510])).
% 0.91/1.12 tff(5514,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s46)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s46))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(5515,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s46))),
% 0.91/1.12 inference(modus_ponens,[status(thm)],[5514, 5513])).
% 0.91/1.12 tff(5516,plain,
% 0.91/1.12 ($false),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5515, 3037, 5509, 3085, 5508, 4303])).
% 0.91/1.12 tff(5517,plain,((~trans(s99, s46)) | until2p7(s46) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.12 tff(5518,plain,
% 0.91/1.12 (~trans(s99, s46)),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5517, 3760, 3026])).
% 0.91/1.12 tff(5519,assumption,(~until2p7(s52)), introduced(assumption)).
% 0.91/1.12 tff(5520,assumption,(trans(s99, s52)), introduced(assumption)).
% 0.91/1.12 tff(5521,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s52) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s52)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s52) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s52)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5522,plain,
% 0.91/1.12 (((~trans(s99, s52)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s52)) <=> (until2p7(s52) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s52)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5523,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s52)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s52) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s52))))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[5522])).
% 0.91/1.12 tff(5524,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s52)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s52) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s52)))),
% 0.91/1.12 inference(transitivity,[status(thm)],[5523, 5521])).
% 0.91/1.12 tff(5525,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s52)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s52))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(5526,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s52) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s52))),
% 0.91/1.12 inference(modus_ponens,[status(thm)],[5525, 5524])).
% 0.91/1.12 tff(5527,plain,
% 0.91/1.12 ($false),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5526, 3037, 5520, 3085, 5519, 4303])).
% 0.91/1.12 tff(5528,plain,((~trans(s99, s52)) | until2p7(s52) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.12 tff(5529,plain,
% 0.91/1.12 (~trans(s99, s52)),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5528, 3688, 3026])).
% 0.91/1.12 tff(5530,assumption,(~until2p7(s33)), introduced(assumption)).
% 0.91/1.12 tff(5531,assumption,(trans(s99, s33)), introduced(assumption)).
% 0.91/1.12 tff(5532,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s33) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s33)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5533,plain,
% 0.91/1.12 (((~trans(s99, s33)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s33)) <=> (until2p7(s33) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s33)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5534,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s33)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s33) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s33))))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[5533])).
% 0.91/1.12 tff(5535,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s33)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s33)))),
% 0.91/1.12 inference(transitivity,[status(thm)],[5534, 5532])).
% 0.91/1.12 tff(5536,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s33)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s33))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(5537,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s33))),
% 0.91/1.12 inference(modus_ponens,[status(thm)],[5536, 5535])).
% 0.91/1.12 tff(5538,plain,
% 0.91/1.12 ($false),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5537, 3037, 5531, 3085, 5530, 4303])).
% 0.91/1.12 tff(5539,plain,((~trans(s99, s33)) | until2p7(s33) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.12 tff(5540,plain,
% 0.91/1.12 (~trans(s99, s33)),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5539, 3950, 3026])).
% 0.91/1.12 tff(5541,assumption,(~until2p7(s87)), introduced(assumption)).
% 0.91/1.12 tff(5542,assumption,(trans(s99, s87)), introduced(assumption)).
% 0.91/1.12 tff(5543,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s87) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s87)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s87) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s87)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5544,plain,
% 0.91/1.12 (((~trans(s99, s87)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s87)) <=> (until2p7(s87) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s87)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5545,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s87)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s87) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s87))))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[5544])).
% 0.91/1.12 tff(5546,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s87)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s87) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s87)))),
% 0.91/1.12 inference(transitivity,[status(thm)],[5545, 5543])).
% 0.91/1.12 tff(5547,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s87)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s87))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(5548,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s87) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s87))),
% 0.91/1.12 inference(modus_ponens,[status(thm)],[5547, 5546])).
% 0.91/1.12 tff(5549,plain,
% 0.91/1.12 ($false),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5548, 3037, 5542, 3085, 5541, 4303])).
% 0.91/1.12 tff(5550,plain,((~trans(s99, s87)) | until2p7(s87) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.12 tff(5551,plain,
% 0.91/1.12 (~trans(s99, s87)),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5550, 3268, 3026])).
% 0.91/1.12 tff(5552,assumption,(~until2p7(s74)), introduced(assumption)).
% 0.91/1.12 tff(5553,assumption,(trans(s99, s74)), introduced(assumption)).
% 0.91/1.12 tff(5554,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s74) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s74)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s74) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s74)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5555,plain,
% 0.91/1.12 (((~trans(s99, s74)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s74)) <=> (until2p7(s74) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s74)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5556,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s74)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s74) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s74))))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[5555])).
% 0.91/1.12 tff(5557,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s74)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s74) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s74)))),
% 0.91/1.12 inference(transitivity,[status(thm)],[5556, 5554])).
% 0.91/1.12 tff(5558,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s74)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s74))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(5559,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s74) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s74))),
% 0.91/1.12 inference(modus_ponens,[status(thm)],[5558, 5557])).
% 0.91/1.12 tff(5560,plain,
% 0.91/1.12 ($false),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5559, 3037, 5553, 3085, 5552, 4303])).
% 0.91/1.12 tff(5561,plain,((~trans(s99, s74)) | until2p7(s74) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.12 tff(5562,plain,
% 0.91/1.12 (~trans(s99, s74)),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5561, 3424, 3026])).
% 0.91/1.12 tff(5563,assumption,(~until2p7(s83)), introduced(assumption)).
% 0.91/1.12 tff(5564,assumption,(trans(s99, s83)), introduced(assumption)).
% 0.91/1.12 tff(5565,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s83) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s83)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s83) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s83)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5566,plain,
% 0.91/1.12 (((~trans(s99, s83)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s83)) <=> (until2p7(s83) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s83)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5567,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s83)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s83) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s83))))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[5566])).
% 0.91/1.12 tff(5568,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s83)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s83) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s83)))),
% 0.91/1.12 inference(transitivity,[status(thm)],[5567, 5565])).
% 0.91/1.12 tff(5569,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s83)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s83))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(5570,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s83) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s83))),
% 0.91/1.12 inference(modus_ponens,[status(thm)],[5569, 5568])).
% 0.91/1.12 tff(5571,plain,
% 0.91/1.12 ($false),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5570, 3037, 5564, 3085, 5563, 4303])).
% 0.91/1.12 tff(5572,plain,((~trans(s99, s83)) | until2p7(s83) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.12 tff(5573,plain,
% 0.91/1.12 (~trans(s99, s83)),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5572, 3316, 3026])).
% 0.91/1.12 tff(5574,plain,
% 0.91/1.12 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil6(X))) <=> (loop | (~last(X)) | (~xuntil6(X))))),
% 0.91/1.12 inference(bind,[status(th)],[])).
% 0.91/1.12 tff(5575,plain,
% 0.91/1.12 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 0.91/1.12 inference(quant_intro,[status(thm)],[5574])).
% 0.91/1.12 tff(5576,plain,
% 0.91/1.12 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5577,plain,
% 0.91/1.12 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil6(X))) <=> (loop | (~last(X)) | (~xuntil6(X))))),
% 0.91/1.12 inference(bind,[status(th)],[])).
% 0.91/1.12 tff(5578,plain,
% 0.91/1.12 (![X: $i] : ((loop | (~last(X))) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 0.91/1.12 inference(quant_intro,[status(thm)],[5577])).
% 0.91/1.12 tff(5579,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil6(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty8')).
% 0.91/1.12 tff(5580,plain,
% 0.91/1.12 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 0.91/1.12 inference(modus_ponens,[status(thm)],[5579, 5578])).
% 0.91/1.12 tff(5581,plain,
% 0.91/1.12 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 0.91/1.12 inference(modus_ponens,[status(thm)],[5580, 5576])).
% 0.91/1.12 tff(5582,plain,(
% 0.91/1.12 ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 0.91/1.12 inference(skolemize,[status(sab)],[5581])).
% 0.91/1.12 tff(5583,plain,
% 0.91/1.12 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 0.91/1.12 inference(modus_ponens,[status(thm)],[5582, 5575])).
% 0.91/1.12 tff(5584,plain,
% 0.91/1.12 (((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | (loop | (~last(s99)) | (~xuntil6(s99)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | loop | (~last(s99)) | (~xuntil6(s99)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5585,plain,
% 0.91/1.12 ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | (loop | (~last(s99)) | (~xuntil6(s99)))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(5586,plain,
% 0.91/1.12 ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | loop | (~last(s99)) | (~xuntil6(s99))),
% 0.91/1.12 inference(modus_ponens,[status(thm)],[5585, 5584])).
% 0.91/1.12 tff(5587,plain,
% 0.91/1.12 (loop | (~xuntil6(s99))),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5586, 3037, 5583])).
% 0.91/1.12 tff(5588,plain,
% 0.91/1.12 (loop),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5587, 3026])).
% 0.91/1.12 tff(5589,assumption,(~until2p7(s94)), introduced(assumption)).
% 0.91/1.12 tff(5590,assumption,(trans(s99, s94)), introduced(assumption)).
% 0.91/1.12 tff(5591,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s94) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s94)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s94) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s94)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5592,plain,
% 0.91/1.12 (((~trans(s99, s94)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s94)) <=> (until2p7(s94) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s94)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5593,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s94)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s94) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s94))))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[5592])).
% 0.91/1.12 tff(5594,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s94)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s94) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s94)))),
% 0.91/1.12 inference(transitivity,[status(thm)],[5593, 5591])).
% 0.91/1.12 tff(5595,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s94)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s94))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(5596,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s94) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s94))),
% 0.91/1.12 inference(modus_ponens,[status(thm)],[5595, 5594])).
% 0.91/1.12 tff(5597,plain,
% 0.91/1.12 ($false),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5596, 3037, 5590, 3085, 5589, 4303])).
% 0.91/1.12 tff(5598,plain,((~trans(s99, s94)) | until2p7(s94) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.12 tff(5599,plain,
% 0.91/1.12 (~trans(s99, s94)),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5598, 3128, 3026])).
% 0.91/1.12 tff(5600,assumption,(~until2p7(s96)), introduced(assumption)).
% 0.91/1.12 tff(5601,assumption,(trans(s99, s96)), introduced(assumption)).
% 0.91/1.12 tff(5602,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s96) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s96)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s96) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s96)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5603,plain,
% 0.91/1.12 (((~trans(s99, s96)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s96)) <=> (until2p7(s96) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s96)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5604,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s96)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s96) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s96))))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[5603])).
% 0.91/1.12 tff(5605,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s96)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s96) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s96)))),
% 0.91/1.12 inference(transitivity,[status(thm)],[5604, 5602])).
% 0.91/1.12 tff(5606,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s96)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s96))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(5607,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s96) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s96))),
% 0.91/1.12 inference(modus_ponens,[status(thm)],[5606, 5605])).
% 0.91/1.12 tff(5608,plain,
% 0.91/1.12 ($false),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5607, 3037, 5601, 3085, 5600, 4303])).
% 0.91/1.12 tff(5609,plain,((~trans(s99, s96)) | until2p7(s96) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.12 tff(5610,plain,
% 0.91/1.12 (~trans(s99, s96)),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5609, 3106, 3026])).
% 0.91/1.12 tff(5611,assumption,(~until2p7(s93)), introduced(assumption)).
% 0.91/1.12 tff(5612,assumption,(trans(s99, s93)), introduced(assumption)).
% 0.91/1.12 tff(5613,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s93) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s93)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s93) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s93)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5614,plain,
% 0.91/1.12 (((~trans(s99, s93)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s93)) <=> (until2p7(s93) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s93)))),
% 0.91/1.12 inference(rewrite,[status(thm)],[])).
% 0.91/1.12 tff(5615,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s93)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s93) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s93))))),
% 0.91/1.12 inference(monotonicity,[status(thm)],[5614])).
% 0.91/1.12 tff(5616,plain,
% 0.91/1.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s93)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s93) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s93)))),
% 0.91/1.12 inference(transitivity,[status(thm)],[5615, 5613])).
% 0.91/1.12 tff(5617,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s93)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s93))),
% 0.91/1.12 inference(quant_inst,[status(thm)],[])).
% 0.91/1.12 tff(5618,plain,
% 0.91/1.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s93) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s93))),
% 0.91/1.12 inference(modus_ponens,[status(thm)],[5617, 5616])).
% 0.91/1.12 tff(5619,plain,
% 0.91/1.12 ($false),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5618, 3037, 5612, 3085, 5611, 4303])).
% 0.91/1.12 tff(5620,plain,((~trans(s99, s93)) | until2p7(s93) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 0.91/1.12 tff(5621,plain,
% 0.91/1.12 (~trans(s99, s93)),
% 0.91/1.12 inference(unit_resolution,[status(thm)],[5620, 3197, 3026])).
% 0.91/1.12 tff(5622,plain,
% 0.91/1.12 (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99))),
% 0.91/1.13 inference(rewrite,[status(thm)],[])).
% 0.91/1.13 tff(5623,plain,
% 0.91/1.13 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98)) | trans(s99, s99)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99))),
% 0.91/1.13 inference(rewrite,[status(thm)],[])).
% 0.91/1.13 tff(5624,plain,
% 0.91/1.13 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97)) | trans(s99, s98)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98))),
% 0.91/1.13 inference(rewrite,[status(thm)],[])).
% 0.91/1.13 tff(5625,plain,
% 0.91/1.13 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96)) | trans(s99, s97)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97))),
% 0.91/1.13 inference(rewrite,[status(thm)],[])).
% 0.91/1.13 tff(5626,plain,
% 0.91/1.13 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95)) | trans(s99, s96)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96))),
% 0.91/1.14 inference(rewrite,[status(thm)],[])).
% 0.91/1.14 tff(5627,plain,
% 0.91/1.14 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94)) | trans(s99, s95)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95))),
% 0.91/1.14 inference(rewrite,[status(thm)],[])).
% 0.91/1.14 tff(5628,plain,
% 0.91/1.14 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93)) | trans(s99, s94)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94))),
% 0.91/1.14 inference(rewrite,[status(thm)],[])).
% 0.91/1.14 tff(5629,plain,
% 0.91/1.14 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92)) | trans(s99, s93)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93))),
% 0.91/1.14 inference(rewrite,[status(thm)],[])).
% 0.91/1.14 tff(5630,plain,
% 0.91/1.14 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91)) | trans(s99, s92)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92))),
% 0.98/1.15 inference(rewrite,[status(thm)],[])).
% 0.98/1.15 tff(5631,plain,
% 0.98/1.15 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90)) | trans(s99, s91)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91))),
% 0.98/1.15 inference(rewrite,[status(thm)],[])).
% 0.98/1.15 tff(5632,plain,
% 0.98/1.15 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89)) | trans(s99, s90)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90))),
% 0.98/1.15 inference(rewrite,[status(thm)],[])).
% 0.98/1.15 tff(5633,plain,
% 0.98/1.15 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88)) | trans(s99, s89)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(5634,plain,
% 0.98/1.16 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87)) | trans(s99, s88)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(5635,plain,
% 0.98/1.16 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86)) | trans(s99, s87)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(5636,plain,
% 0.98/1.16 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85)) | trans(s99, s86)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86))),
% 0.98/1.16 inference(rewrite,[status(thm)],[])).
% 0.98/1.16 tff(5637,plain,
% 0.98/1.16 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84)) | trans(s99, s85)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85))),
% 0.98/1.17 inference(rewrite,[status(thm)],[])).
% 0.98/1.17 tff(5638,plain,
% 0.98/1.17 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83)) | trans(s99, s84)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84))),
% 0.98/1.17 inference(rewrite,[status(thm)],[])).
% 0.98/1.17 tff(5639,plain,
% 0.98/1.17 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82)) | trans(s99, s83)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83))),
% 0.98/1.17 inference(rewrite,[status(thm)],[])).
% 0.98/1.17 tff(5640,plain,
% 0.98/1.17 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81)) | trans(s99, s82)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82))),
% 0.98/1.17 inference(rewrite,[status(thm)],[])).
% 0.98/1.17 tff(5641,plain,
% 0.98/1.17 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80)) | trans(s99, s81)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81))),
% 0.98/1.18 inference(rewrite,[status(thm)],[])).
% 0.98/1.18 tff(5642,plain,
% 0.98/1.18 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79)) | trans(s99, s80)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(5643,plain,
% 1.01/1.18 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78)) | trans(s99, s79)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(5644,plain,
% 1.01/1.18 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77)) | trans(s99, s78)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78))),
% 1.01/1.18 inference(rewrite,[status(thm)],[])).
% 1.01/1.18 tff(5645,plain,
% 1.01/1.18 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76)) | trans(s99, s77)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77))),
% 1.01/1.19 inference(rewrite,[status(thm)],[])).
% 1.01/1.19 tff(5646,plain,
% 1.01/1.19 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75)) | trans(s99, s76)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76))),
% 1.01/1.19 inference(rewrite,[status(thm)],[])).
% 1.01/1.19 tff(5647,plain,
% 1.01/1.19 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74)) | trans(s99, s75)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75))),
% 1.01/1.19 inference(rewrite,[status(thm)],[])).
% 1.01/1.19 tff(5648,plain,
% 1.01/1.19 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73)) | trans(s99, s74)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74))),
% 1.01/1.19 inference(rewrite,[status(thm)],[])).
% 1.01/1.19 tff(5649,plain,
% 1.01/1.19 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72)) | trans(s99, s73)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73))),
% 1.01/1.19 inference(rewrite,[status(thm)],[])).
% 1.01/1.19 tff(5650,plain,
% 1.01/1.19 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71)) | trans(s99, s72)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72))),
% 1.01/1.20 inference(rewrite,[status(thm)],[])).
% 1.01/1.20 tff(5651,plain,
% 1.01/1.20 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70)) | trans(s99, s71)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71))),
% 1.01/1.20 inference(rewrite,[status(thm)],[])).
% 1.01/1.20 tff(5652,plain,
% 1.01/1.20 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69)) | trans(s99, s70)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70))),
% 1.01/1.20 inference(rewrite,[status(thm)],[])).
% 1.01/1.20 tff(5653,plain,
% 1.01/1.20 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68)) | trans(s99, s69)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69))),
% 1.01/1.20 inference(rewrite,[status(thm)],[])).
% 1.01/1.20 tff(5654,plain,
% 1.01/1.20 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67)) | trans(s99, s68)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68))),
% 1.01/1.20 inference(rewrite,[status(thm)],[])).
% 1.01/1.20 tff(5655,plain,
% 1.01/1.20 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66)) | trans(s99, s67)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67))),
% 1.01/1.20 inference(rewrite,[status(thm)],[])).
% 1.01/1.20 tff(5656,plain,
% 1.01/1.20 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65)) | trans(s99, s66)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66))),
% 1.01/1.21 inference(rewrite,[status(thm)],[])).
% 1.01/1.21 tff(5657,plain,
% 1.01/1.21 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64)) | trans(s99, s65)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65))),
% 1.01/1.21 inference(rewrite,[status(thm)],[])).
% 1.01/1.21 tff(5658,plain,
% 1.01/1.21 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63)) | trans(s99, s64)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64))),
% 1.01/1.21 inference(rewrite,[status(thm)],[])).
% 1.01/1.21 tff(5659,plain,
% 1.01/1.21 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62)) | trans(s99, s63)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63))),
% 1.01/1.21 inference(rewrite,[status(thm)],[])).
% 1.01/1.21 tff(5660,plain,
% 1.01/1.21 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61)) | trans(s99, s62)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62))),
% 1.01/1.21 inference(rewrite,[status(thm)],[])).
% 1.01/1.21 tff(5661,plain,
% 1.01/1.21 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60)) | trans(s99, s61)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61))),
% 1.01/1.22 inference(rewrite,[status(thm)],[])).
% 1.01/1.22 tff(5662,plain,
% 1.01/1.22 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59)) | trans(s99, s60)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60))),
% 1.01/1.22 inference(rewrite,[status(thm)],[])).
% 1.01/1.22 tff(5663,plain,
% 1.01/1.22 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58)) | trans(s99, s59)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59))),
% 1.01/1.22 inference(rewrite,[status(thm)],[])).
% 1.01/1.22 tff(5664,plain,
% 1.01/1.22 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57)) | trans(s99, s58)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58))),
% 1.01/1.22 inference(rewrite,[status(thm)],[])).
% 1.01/1.22 tff(5665,plain,
% 1.01/1.22 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56)) | trans(s99, s57)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57))),
% 1.01/1.22 inference(rewrite,[status(thm)],[])).
% 1.01/1.22 tff(5666,plain,
% 1.01/1.22 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55)) | trans(s99, s56)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56))),
% 1.01/1.22 inference(rewrite,[status(thm)],[])).
% 1.01/1.22 tff(5667,plain,
% 1.01/1.22 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54)) | trans(s99, s55)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55))),
% 1.01/1.23 inference(rewrite,[status(thm)],[])).
% 1.01/1.23 tff(5668,plain,
% 1.01/1.23 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53)) | trans(s99, s54)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54))),
% 1.01/1.23 inference(rewrite,[status(thm)],[])).
% 1.01/1.23 tff(5669,plain,
% 1.01/1.23 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52)) | trans(s99, s53)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53))),
% 1.07/1.23 inference(rewrite,[status(thm)],[])).
% 1.07/1.23 tff(5670,plain,
% 1.07/1.23 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51)) | trans(s99, s52)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52))),
% 1.07/1.23 inference(rewrite,[status(thm)],[])).
% 1.07/1.23 tff(5671,plain,
% 1.07/1.23 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50)) | trans(s99, s51)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51))),
% 1.07/1.23 inference(rewrite,[status(thm)],[])).
% 1.07/1.23 tff(5672,plain,
% 1.07/1.23 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49)) | trans(s99, s50)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50))),
% 1.07/1.23 inference(rewrite,[status(thm)],[])).
% 1.07/1.23 tff(5673,plain,
% 1.07/1.23 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48)) | trans(s99, s49)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49))),
% 1.07/1.24 inference(rewrite,[status(thm)],[])).
% 1.07/1.24 tff(5674,plain,
% 1.07/1.24 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47)) | trans(s99, s48)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48))),
% 1.07/1.24 inference(rewrite,[status(thm)],[])).
% 1.07/1.24 tff(5675,plain,
% 1.07/1.24 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46)) | trans(s99, s47)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47))),
% 1.07/1.24 inference(rewrite,[status(thm)],[])).
% 1.07/1.24 tff(5676,plain,
% 1.07/1.24 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45)) | trans(s99, s46)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46))),
% 1.07/1.24 inference(rewrite,[status(thm)],[])).
% 1.07/1.24 tff(5677,plain,
% 1.07/1.24 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44)) | trans(s99, s45)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45))),
% 1.07/1.24 inference(rewrite,[status(thm)],[])).
% 1.07/1.24 tff(5678,plain,
% 1.07/1.24 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43)) | trans(s99, s44)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44))),
% 1.07/1.24 inference(rewrite,[status(thm)],[])).
% 1.07/1.24 tff(5679,plain,
% 1.07/1.24 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42)) | trans(s99, s43)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43))),
% 1.07/1.24 inference(rewrite,[status(thm)],[])).
% 1.07/1.24 tff(5680,plain,
% 1.07/1.24 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41)) | trans(s99, s42)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42))),
% 1.07/1.25 inference(rewrite,[status(thm)],[])).
% 1.07/1.25 tff(5681,plain,
% 1.07/1.25 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40)) | trans(s99, s41)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41))),
% 1.07/1.25 inference(rewrite,[status(thm)],[])).
% 1.07/1.25 tff(5682,plain,
% 1.07/1.25 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39)) | trans(s99, s40)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40))),
% 1.08/1.25 inference(rewrite,[status(thm)],[])).
% 1.08/1.25 tff(5683,plain,
% 1.08/1.25 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38)) | trans(s99, s39)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39))),
% 1.08/1.25 inference(rewrite,[status(thm)],[])).
% 1.08/1.25 tff(5684,plain,
% 1.08/1.25 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37)) | trans(s99, s38)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38))),
% 1.08/1.25 inference(rewrite,[status(thm)],[])).
% 1.08/1.25 tff(5685,plain,
% 1.08/1.25 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36)) | trans(s99, s37)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37))),
% 1.08/1.25 inference(rewrite,[status(thm)],[])).
% 1.08/1.25 tff(5686,plain,
% 1.08/1.25 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35)) | trans(s99, s36)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36))),
% 1.08/1.25 inference(rewrite,[status(thm)],[])).
% 1.08/1.25 tff(5687,plain,
% 1.08/1.25 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34)) | trans(s99, s35)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35))),
% 1.08/1.25 inference(rewrite,[status(thm)],[])).
% 1.08/1.25 tff(5688,plain,
% 1.08/1.25 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33)) | trans(s99, s34)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34))),
% 1.08/1.25 inference(rewrite,[status(thm)],[])).
% 1.08/1.25 tff(5689,plain,
% 1.08/1.25 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32)) | trans(s99, s33)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33))),
% 1.08/1.25 inference(rewrite,[status(thm)],[])).
% 1.08/1.25 tff(5690,plain,
% 1.08/1.25 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31)) | trans(s99, s32)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32))),
% 1.08/1.25 inference(rewrite,[status(thm)],[])).
% 1.08/1.25 tff(5691,plain,
% 1.08/1.25 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30)) | trans(s99, s31)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31))),
% 1.08/1.26 inference(rewrite,[status(thm)],[])).
% 1.08/1.26 tff(5692,plain,
% 1.08/1.26 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29)) | trans(s99, s30)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30))),
% 1.08/1.26 inference(rewrite,[status(thm)],[])).
% 1.08/1.26 tff(5693,plain,
% 1.08/1.26 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28)) | trans(s99, s29)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29))),
% 1.08/1.26 inference(rewrite,[status(thm)],[])).
% 1.08/1.26 tff(5694,plain,
% 1.08/1.26 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27)) | trans(s99, s28)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28))),
% 1.08/1.26 inference(rewrite,[status(thm)],[])).
% 1.08/1.26 tff(5695,plain,
% 1.08/1.26 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26)) | trans(s99, s27)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27))),
% 1.08/1.26 inference(rewrite,[status(thm)],[])).
% 1.08/1.26 tff(5696,plain,
% 1.08/1.26 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25)) | trans(s99, s26)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26))),
% 1.08/1.26 inference(rewrite,[status(thm)],[])).
% 1.08/1.26 tff(5697,plain,
% 1.08/1.26 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24)) | trans(s99, s25)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25))),
% 1.08/1.26 inference(rewrite,[status(thm)],[])).
% 1.08/1.26 tff(5698,plain,
% 1.08/1.26 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23)) | trans(s99, s24)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24))),
% 1.08/1.26 inference(rewrite,[status(thm)],[])).
% 1.08/1.26 tff(5699,plain,
% 1.08/1.26 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22)) | trans(s99, s23)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23))),
% 1.08/1.26 inference(rewrite,[status(thm)],[])).
% 1.08/1.26 tff(5700,plain,
% 1.08/1.26 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21)) | trans(s99, s22)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22))),
% 1.08/1.26 inference(rewrite,[status(thm)],[])).
% 1.08/1.26 tff(5701,plain,
% 1.08/1.26 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20)) | trans(s99, s21)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21))),
% 1.08/1.26 inference(rewrite,[status(thm)],[])).
% 1.08/1.26 tff(5702,plain,
% 1.08/1.26 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19)) | trans(s99, s20)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20))),
% 1.08/1.26 inference(rewrite,[status(thm)],[])).
% 1.08/1.26 tff(5703,plain,
% 1.08/1.26 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18)) | trans(s99, s19)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19))),
% 1.08/1.26 inference(rewrite,[status(thm)],[])).
% 1.08/1.26 tff(5704,plain,
% 1.08/1.26 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17)) | trans(s99, s18)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5705,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16)) | trans(s99, s17)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5706,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15)) | trans(s99, s16)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5707,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14)) | trans(s99, s15)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5708,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13)) | trans(s99, s14)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5709,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12)) | trans(s99, s13)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5710,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11)) | trans(s99, s12)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5711,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10)) | trans(s99, s11)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5712,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9)) | trans(s99, s10)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5713,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8)) | trans(s99, s9)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5714,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7)) | trans(s99, s8)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5715,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6)) | trans(s99, s7)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5716,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5)) | trans(s99, s6)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5717,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4)) | trans(s99, s5)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5718,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3)) | trans(s99, s4)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5719,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2)) | trans(s99, s3)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5720,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0) | trans(s99, s1)) | trans(s99, s2)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5721,plain,
% 1.08/1.27 ((((~loop) | trans(s99, s0)) | trans(s99, s1)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1))),
% 1.08/1.27 inference(rewrite,[status(thm)],[])).
% 1.08/1.27 tff(5722,plain,
% 1.08/1.27 (((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1)) | trans(s99, s2))),
% 1.08/1.27 inference(monotonicity,[status(thm)],[5721])).
% 1.08/1.27 tff(5723,plain,
% 1.08/1.27 (((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2))),
% 1.08/1.27 inference(transitivity,[status(thm)],[5722, 5720])).
% 1.08/1.27 tff(5724,plain,
% 1.08/1.27 ((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2)) | trans(s99, s3))),
% 1.08/1.27 inference(monotonicity,[status(thm)],[5723])).
% 1.08/1.27 tff(5725,plain,
% 1.08/1.27 ((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3))),
% 1.08/1.27 inference(transitivity,[status(thm)],[5724, 5719])).
% 1.08/1.27 tff(5726,plain,
% 1.08/1.27 (((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3)) | trans(s99, s4))),
% 1.08/1.27 inference(monotonicity,[status(thm)],[5725])).
% 1.08/1.27 tff(5727,plain,
% 1.08/1.27 (((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4))),
% 1.08/1.27 inference(transitivity,[status(thm)],[5726, 5718])).
% 1.08/1.27 tff(5728,plain,
% 1.08/1.27 ((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4)) | trans(s99, s5))),
% 1.08/1.27 inference(monotonicity,[status(thm)],[5727])).
% 1.08/1.27 tff(5729,plain,
% 1.08/1.27 ((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5))),
% 1.08/1.27 inference(transitivity,[status(thm)],[5728, 5717])).
% 1.08/1.27 tff(5730,plain,
% 1.08/1.27 (((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5)) | trans(s99, s6))),
% 1.08/1.27 inference(monotonicity,[status(thm)],[5729])).
% 1.08/1.27 tff(5731,plain,
% 1.08/1.27 (((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6))),
% 1.08/1.27 inference(transitivity,[status(thm)],[5730, 5716])).
% 1.08/1.27 tff(5732,plain,
% 1.08/1.27 ((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6)) | trans(s99, s7))),
% 1.08/1.27 inference(monotonicity,[status(thm)],[5731])).
% 1.08/1.27 tff(5733,plain,
% 1.08/1.27 ((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7))),
% 1.08/1.27 inference(transitivity,[status(thm)],[5732, 5715])).
% 1.08/1.27 tff(5734,plain,
% 1.08/1.27 (((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7)) | trans(s99, s8))),
% 1.08/1.27 inference(monotonicity,[status(thm)],[5733])).
% 1.08/1.27 tff(5735,plain,
% 1.08/1.27 (((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8))),
% 1.08/1.28 inference(transitivity,[status(thm)],[5734, 5714])).
% 1.08/1.28 tff(5736,plain,
% 1.08/1.28 ((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8)) | trans(s99, s9))),
% 1.08/1.28 inference(monotonicity,[status(thm)],[5735])).
% 1.08/1.28 tff(5737,plain,
% 1.08/1.28 ((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9))),
% 1.08/1.28 inference(transitivity,[status(thm)],[5736, 5713])).
% 1.08/1.28 tff(5738,plain,
% 1.08/1.28 (((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9)) | trans(s99, s10))),
% 1.08/1.28 inference(monotonicity,[status(thm)],[5737])).
% 1.08/1.28 tff(5739,plain,
% 1.08/1.28 (((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10))),
% 1.08/1.28 inference(transitivity,[status(thm)],[5738, 5712])).
% 1.08/1.28 tff(5740,plain,
% 1.08/1.28 ((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10)) | trans(s99, s11))),
% 1.08/1.28 inference(monotonicity,[status(thm)],[5739])).
% 1.08/1.28 tff(5741,plain,
% 1.08/1.28 ((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11))),
% 1.08/1.28 inference(transitivity,[status(thm)],[5740, 5711])).
% 1.08/1.28 tff(5742,plain,
% 1.08/1.28 (((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11)) | trans(s99, s12))),
% 1.08/1.28 inference(monotonicity,[status(thm)],[5741])).
% 1.08/1.28 tff(5743,plain,
% 1.08/1.28 (((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12))),
% 1.08/1.28 inference(transitivity,[status(thm)],[5742, 5710])).
% 1.08/1.28 tff(5744,plain,
% 1.08/1.28 ((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12)) | trans(s99, s13))),
% 1.08/1.28 inference(monotonicity,[status(thm)],[5743])).
% 1.08/1.28 tff(5745,plain,
% 1.08/1.28 ((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13))),
% 1.08/1.28 inference(transitivity,[status(thm)],[5744, 5709])).
% 1.08/1.28 tff(5746,plain,
% 1.08/1.28 (((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13)) | trans(s99, s14))),
% 1.08/1.28 inference(monotonicity,[status(thm)],[5745])).
% 1.08/1.28 tff(5747,plain,
% 1.08/1.28 (((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14))),
% 1.08/1.28 inference(transitivity,[status(thm)],[5746, 5708])).
% 1.08/1.28 tff(5748,plain,
% 1.08/1.28 ((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14)) | trans(s99, s15))),
% 1.08/1.28 inference(monotonicity,[status(thm)],[5747])).
% 1.08/1.28 tff(5749,plain,
% 1.08/1.28 ((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15))),
% 1.08/1.28 inference(transitivity,[status(thm)],[5748, 5707])).
% 1.08/1.28 tff(5750,plain,
% 1.08/1.28 (((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15)) | trans(s99, s16))),
% 1.08/1.28 inference(monotonicity,[status(thm)],[5749])).
% 1.08/1.28 tff(5751,plain,
% 1.08/1.28 (((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16))),
% 1.08/1.28 inference(transitivity,[status(thm)],[5750, 5706])).
% 1.08/1.28 tff(5752,plain,
% 1.08/1.28 ((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16)) | trans(s99, s17))),
% 1.08/1.28 inference(monotonicity,[status(thm)],[5751])).
% 1.08/1.28 tff(5753,plain,
% 1.08/1.28 ((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17))),
% 1.08/1.28 inference(transitivity,[status(thm)],[5752, 5705])).
% 1.08/1.28 tff(5754,plain,
% 1.08/1.28 (((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17)) | trans(s99, s18))),
% 1.08/1.28 inference(monotonicity,[status(thm)],[5753])).
% 1.08/1.28 tff(5755,plain,
% 1.08/1.28 (((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18))),
% 1.08/1.28 inference(transitivity,[status(thm)],[5754, 5704])).
% 1.08/1.28 tff(5756,plain,
% 1.08/1.28 ((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18)) | trans(s99, s19))),
% 1.08/1.28 inference(monotonicity,[status(thm)],[5755])).
% 1.08/1.28 tff(5757,plain,
% 1.08/1.28 ((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19))),
% 1.08/1.28 inference(transitivity,[status(thm)],[5756, 5703])).
% 1.08/1.28 tff(5758,plain,
% 1.08/1.28 (((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19)) | trans(s99, s20))),
% 1.08/1.28 inference(monotonicity,[status(thm)],[5757])).
% 1.08/1.28 tff(5759,plain,
% 1.08/1.28 (((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20))),
% 1.08/1.28 inference(transitivity,[status(thm)],[5758, 5702])).
% 1.08/1.28 tff(5760,plain,
% 1.08/1.28 ((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20)) | trans(s99, s21))),
% 1.08/1.29 inference(monotonicity,[status(thm)],[5759])).
% 1.08/1.29 tff(5761,plain,
% 1.08/1.29 ((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21))),
% 1.08/1.29 inference(transitivity,[status(thm)],[5760, 5701])).
% 1.08/1.29 tff(5762,plain,
% 1.08/1.29 (((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21)) | trans(s99, s22))),
% 1.08/1.29 inference(monotonicity,[status(thm)],[5761])).
% 1.08/1.29 tff(5763,plain,
% 1.08/1.29 (((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22))),
% 1.08/1.29 inference(transitivity,[status(thm)],[5762, 5700])).
% 1.08/1.29 tff(5764,plain,
% 1.08/1.29 ((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22)) | trans(s99, s23))),
% 1.08/1.29 inference(monotonicity,[status(thm)],[5763])).
% 1.08/1.29 tff(5765,plain,
% 1.08/1.29 ((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23))),
% 1.08/1.29 inference(transitivity,[status(thm)],[5764, 5699])).
% 1.08/1.29 tff(5766,plain,
% 1.08/1.29 (((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23)) | trans(s99, s24))),
% 1.08/1.29 inference(monotonicity,[status(thm)],[5765])).
% 1.08/1.29 tff(5767,plain,
% 1.08/1.29 (((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24))),
% 1.08/1.29 inference(transitivity,[status(thm)],[5766, 5698])).
% 1.08/1.29 tff(5768,plain,
% 1.08/1.29 ((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24)) | trans(s99, s25))),
% 1.08/1.29 inference(monotonicity,[status(thm)],[5767])).
% 1.08/1.29 tff(5769,plain,
% 1.08/1.29 ((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25))),
% 1.08/1.29 inference(transitivity,[status(thm)],[5768, 5697])).
% 1.08/1.29 tff(5770,plain,
% 1.08/1.29 (((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25)) | trans(s99, s26))),
% 1.08/1.29 inference(monotonicity,[status(thm)],[5769])).
% 1.08/1.29 tff(5771,plain,
% 1.08/1.29 (((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26))),
% 1.08/1.29 inference(transitivity,[status(thm)],[5770, 5696])).
% 1.08/1.29 tff(5772,plain,
% 1.08/1.29 ((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26)) | trans(s99, s27))),
% 1.08/1.30 inference(monotonicity,[status(thm)],[5771])).
% 1.08/1.30 tff(5773,plain,
% 1.08/1.30 ((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27))),
% 1.08/1.30 inference(transitivity,[status(thm)],[5772, 5695])).
% 1.08/1.30 tff(5774,plain,
% 1.08/1.30 (((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27)) | trans(s99, s28))),
% 1.08/1.30 inference(monotonicity,[status(thm)],[5773])).
% 1.08/1.30 tff(5775,plain,
% 1.08/1.30 (((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28))),
% 1.08/1.30 inference(transitivity,[status(thm)],[5774, 5694])).
% 1.08/1.30 tff(5776,plain,
% 1.08/1.30 ((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28)) | trans(s99, s29))),
% 1.08/1.30 inference(monotonicity,[status(thm)],[5775])).
% 1.08/1.30 tff(5777,plain,
% 1.08/1.30 ((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29))),
% 1.08/1.30 inference(transitivity,[status(thm)],[5776, 5693])).
% 1.08/1.30 tff(5778,plain,
% 1.08/1.30 (((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29)) | trans(s99, s30))),
% 1.08/1.30 inference(monotonicity,[status(thm)],[5777])).
% 1.08/1.30 tff(5779,plain,
% 1.08/1.30 (((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30))),
% 1.08/1.30 inference(transitivity,[status(thm)],[5778, 5692])).
% 1.08/1.30 tff(5780,plain,
% 1.08/1.30 ((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30)) | trans(s99, s31))),
% 1.08/1.30 inference(monotonicity,[status(thm)],[5779])).
% 1.08/1.30 tff(5781,plain,
% 1.08/1.30 ((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31))),
% 1.08/1.30 inference(transitivity,[status(thm)],[5780, 5691])).
% 1.08/1.30 tff(5782,plain,
% 1.08/1.30 (((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31)) | trans(s99, s32))),
% 1.08/1.30 inference(monotonicity,[status(thm)],[5781])).
% 1.08/1.30 tff(5783,plain,
% 1.08/1.30 (((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32))),
% 1.08/1.30 inference(transitivity,[status(thm)],[5782, 5690])).
% 1.08/1.30 tff(5784,plain,
% 1.08/1.30 ((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32)) | trans(s99, s33))),
% 1.08/1.30 inference(monotonicity,[status(thm)],[5783])).
% 1.08/1.30 tff(5785,plain,
% 1.08/1.30 ((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33))),
% 1.08/1.31 inference(transitivity,[status(thm)],[5784, 5689])).
% 1.08/1.31 tff(5786,plain,
% 1.08/1.31 (((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33)) | trans(s99, s34))),
% 1.08/1.31 inference(monotonicity,[status(thm)],[5785])).
% 1.08/1.31 tff(5787,plain,
% 1.08/1.31 (((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34))),
% 1.08/1.31 inference(transitivity,[status(thm)],[5786, 5688])).
% 1.08/1.31 tff(5788,plain,
% 1.08/1.31 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34)) | trans(s99, s35))),
% 1.08/1.31 inference(monotonicity,[status(thm)],[5787])).
% 1.08/1.31 tff(5789,plain,
% 1.08/1.31 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35))),
% 1.08/1.31 inference(transitivity,[status(thm)],[5788, 5687])).
% 1.08/1.31 tff(5790,plain,
% 1.08/1.31 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35)) | trans(s99, s36))),
% 1.08/1.31 inference(monotonicity,[status(thm)],[5789])).
% 1.08/1.31 tff(5791,plain,
% 1.08/1.31 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36))),
% 1.08/1.31 inference(transitivity,[status(thm)],[5790, 5686])).
% 1.08/1.31 tff(5792,plain,
% 1.08/1.31 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36)) | trans(s99, s37))),
% 1.08/1.31 inference(monotonicity,[status(thm)],[5791])).
% 1.08/1.31 tff(5793,plain,
% 1.08/1.31 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37))),
% 1.15/1.32 inference(transitivity,[status(thm)],[5792, 5685])).
% 1.15/1.32 tff(5794,plain,
% 1.15/1.32 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37)) | trans(s99, s38))),
% 1.15/1.32 inference(monotonicity,[status(thm)],[5793])).
% 1.15/1.32 tff(5795,plain,
% 1.15/1.32 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38))),
% 1.15/1.32 inference(transitivity,[status(thm)],[5794, 5684])).
% 1.15/1.32 tff(5796,plain,
% 1.15/1.32 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38)) | trans(s99, s39))),
% 1.15/1.32 inference(monotonicity,[status(thm)],[5795])).
% 1.15/1.32 tff(5797,plain,
% 1.15/1.32 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39))),
% 1.15/1.32 inference(transitivity,[status(thm)],[5796, 5683])).
% 1.15/1.32 tff(5798,plain,
% 1.15/1.32 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39)) | trans(s99, s40))),
% 1.15/1.32 inference(monotonicity,[status(thm)],[5797])).
% 1.15/1.32 tff(5799,plain,
% 1.15/1.32 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40))),
% 1.15/1.32 inference(transitivity,[status(thm)],[5798, 5682])).
% 1.15/1.32 tff(5800,plain,
% 1.15/1.32 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40)) | trans(s99, s41))),
% 1.15/1.32 inference(monotonicity,[status(thm)],[5799])).
% 1.15/1.32 tff(5801,plain,
% 1.15/1.32 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41))),
% 1.15/1.33 inference(transitivity,[status(thm)],[5800, 5681])).
% 1.15/1.33 tff(5802,plain,
% 1.15/1.33 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41)) | trans(s99, s42))),
% 1.15/1.33 inference(monotonicity,[status(thm)],[5801])).
% 1.15/1.33 tff(5803,plain,
% 1.15/1.33 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42))),
% 1.15/1.33 inference(transitivity,[status(thm)],[5802, 5680])).
% 1.15/1.33 tff(5804,plain,
% 1.15/1.33 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42)) | trans(s99, s43))),
% 1.15/1.33 inference(monotonicity,[status(thm)],[5803])).
% 1.15/1.33 tff(5805,plain,
% 1.15/1.33 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43))),
% 1.15/1.33 inference(transitivity,[status(thm)],[5804, 5679])).
% 1.15/1.33 tff(5806,plain,
% 1.15/1.33 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43)) | trans(s99, s44))),
% 1.15/1.33 inference(monotonicity,[status(thm)],[5805])).
% 1.15/1.33 tff(5807,plain,
% 1.15/1.33 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44))),
% 1.15/1.33 inference(transitivity,[status(thm)],[5806, 5678])).
% 1.15/1.33 tff(5808,plain,
% 1.15/1.33 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44)) | trans(s99, s45))),
% 1.15/1.33 inference(monotonicity,[status(thm)],[5807])).
% 1.15/1.33 tff(5809,plain,
% 1.15/1.33 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45))),
% 1.15/1.33 inference(transitivity,[status(thm)],[5808, 5677])).
% 1.15/1.33 tff(5810,plain,
% 1.15/1.33 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45)) | trans(s99, s46))),
% 1.15/1.34 inference(monotonicity,[status(thm)],[5809])).
% 1.15/1.34 tff(5811,plain,
% 1.15/1.34 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46))),
% 1.15/1.34 inference(transitivity,[status(thm)],[5810, 5676])).
% 1.15/1.34 tff(5812,plain,
% 1.15/1.34 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46)) | trans(s99, s47))),
% 1.15/1.34 inference(monotonicity,[status(thm)],[5811])).
% 1.15/1.34 tff(5813,plain,
% 1.15/1.34 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47))),
% 1.15/1.34 inference(transitivity,[status(thm)],[5812, 5675])).
% 1.15/1.34 tff(5814,plain,
% 1.15/1.34 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47)) | trans(s99, s48))),
% 1.15/1.34 inference(monotonicity,[status(thm)],[5813])).
% 1.15/1.34 tff(5815,plain,
% 1.15/1.34 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48))),
% 1.15/1.34 inference(transitivity,[status(thm)],[5814, 5674])).
% 1.15/1.34 tff(5816,plain,
% 1.15/1.34 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48)) | trans(s99, s49))),
% 1.15/1.34 inference(monotonicity,[status(thm)],[5815])).
% 1.15/1.34 tff(5817,plain,
% 1.15/1.34 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49))),
% 1.15/1.35 inference(transitivity,[status(thm)],[5816, 5673])).
% 1.15/1.35 tff(5818,plain,
% 1.15/1.35 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49)) | trans(s99, s50))),
% 1.15/1.35 inference(monotonicity,[status(thm)],[5817])).
% 1.15/1.35 tff(5819,plain,
% 1.15/1.35 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50))),
% 1.15/1.35 inference(transitivity,[status(thm)],[5818, 5672])).
% 1.15/1.35 tff(5820,plain,
% 1.15/1.35 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50)) | trans(s99, s51))),
% 1.15/1.35 inference(monotonicity,[status(thm)],[5819])).
% 1.15/1.35 tff(5821,plain,
% 1.15/1.35 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51))),
% 1.15/1.35 inference(transitivity,[status(thm)],[5820, 5671])).
% 1.15/1.35 tff(5822,plain,
% 1.15/1.35 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51)) | trans(s99, s52))),
% 1.15/1.35 inference(monotonicity,[status(thm)],[5821])).
% 1.15/1.35 tff(5823,plain,
% 1.15/1.35 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52))),
% 1.15/1.36 inference(transitivity,[status(thm)],[5822, 5670])).
% 1.15/1.36 tff(5824,plain,
% 1.15/1.36 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52)) | trans(s99, s53))),
% 1.15/1.36 inference(monotonicity,[status(thm)],[5823])).
% 1.15/1.36 tff(5825,plain,
% 1.15/1.36 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53))),
% 1.15/1.36 inference(transitivity,[status(thm)],[5824, 5669])).
% 1.15/1.36 tff(5826,plain,
% 1.15/1.36 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53)) | trans(s99, s54))),
% 1.15/1.36 inference(monotonicity,[status(thm)],[5825])).
% 1.15/1.36 tff(5827,plain,
% 1.15/1.36 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54))),
% 1.15/1.36 inference(transitivity,[status(thm)],[5826, 5668])).
% 1.15/1.36 tff(5828,plain,
% 1.15/1.36 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54)) | trans(s99, s55))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[5827])).
% 1.20/1.37 tff(5829,plain,
% 1.20/1.37 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55))),
% 1.20/1.37 inference(transitivity,[status(thm)],[5828, 5667])).
% 1.20/1.37 tff(5830,plain,
% 1.20/1.37 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55)) | trans(s99, s56))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[5829])).
% 1.20/1.37 tff(5831,plain,
% 1.20/1.37 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56))),
% 1.20/1.37 inference(transitivity,[status(thm)],[5830, 5666])).
% 1.20/1.37 tff(5832,plain,
% 1.20/1.37 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56)) | trans(s99, s57))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[5831])).
% 1.20/1.37 tff(5833,plain,
% 1.20/1.37 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57))),
% 1.20/1.37 inference(transitivity,[status(thm)],[5832, 5665])).
% 1.20/1.37 tff(5834,plain,
% 1.20/1.37 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57)) | trans(s99, s58))),
% 1.20/1.37 inference(monotonicity,[status(thm)],[5833])).
% 1.20/1.37 tff(5835,plain,
% 1.20/1.37 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58))),
% 1.20/1.37 inference(transitivity,[status(thm)],[5834, 5664])).
% 1.20/1.38 tff(5836,plain,
% 1.20/1.38 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58)) | trans(s99, s59))),
% 1.20/1.38 inference(monotonicity,[status(thm)],[5835])).
% 1.20/1.38 tff(5837,plain,
% 1.20/1.38 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59))),
% 1.20/1.38 inference(transitivity,[status(thm)],[5836, 5663])).
% 1.20/1.38 tff(5838,plain,
% 1.20/1.38 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59)) | trans(s99, s60))),
% 1.20/1.38 inference(monotonicity,[status(thm)],[5837])).
% 1.20/1.38 tff(5839,plain,
% 1.20/1.38 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60))),
% 1.20/1.38 inference(transitivity,[status(thm)],[5838, 5662])).
% 1.20/1.38 tff(5840,plain,
% 1.20/1.38 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60)) | trans(s99, s61))),
% 1.20/1.38 inference(monotonicity,[status(thm)],[5839])).
% 1.20/1.38 tff(5841,plain,
% 1.20/1.38 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61))),
% 1.20/1.39 inference(transitivity,[status(thm)],[5840, 5661])).
% 1.20/1.39 tff(5842,plain,
% 1.20/1.39 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61)) | trans(s99, s62))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[5841])).
% 1.20/1.39 tff(5843,plain,
% 1.20/1.39 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62))),
% 1.20/1.39 inference(transitivity,[status(thm)],[5842, 5660])).
% 1.20/1.39 tff(5844,plain,
% 1.20/1.39 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62)) | trans(s99, s63))),
% 1.20/1.39 inference(monotonicity,[status(thm)],[5843])).
% 1.20/1.39 tff(5845,plain,
% 1.20/1.39 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63))),
% 1.20/1.39 inference(transitivity,[status(thm)],[5844, 5659])).
% 1.20/1.39 tff(5846,plain,
% 1.20/1.39 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63)) | trans(s99, s64))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[5845])).
% 1.20/1.40 tff(5847,plain,
% 1.20/1.40 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64))),
% 1.20/1.40 inference(transitivity,[status(thm)],[5846, 5658])).
% 1.20/1.40 tff(5848,plain,
% 1.20/1.40 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64)) | trans(s99, s65))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[5847])).
% 1.20/1.40 tff(5849,plain,
% 1.20/1.40 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65))),
% 1.20/1.40 inference(transitivity,[status(thm)],[5848, 5657])).
% 1.20/1.40 tff(5850,plain,
% 1.20/1.40 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65)) | trans(s99, s66))),
% 1.20/1.40 inference(monotonicity,[status(thm)],[5849])).
% 1.20/1.40 tff(5851,plain,
% 1.20/1.40 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66))),
% 1.20/1.40 inference(transitivity,[status(thm)],[5850, 5656])).
% 1.20/1.40 tff(5852,plain,
% 1.20/1.40 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66)) | trans(s99, s67))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[5851])).
% 1.20/1.41 tff(5853,plain,
% 1.20/1.41 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67))),
% 1.20/1.41 inference(transitivity,[status(thm)],[5852, 5655])).
% 1.20/1.41 tff(5854,plain,
% 1.20/1.41 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67)) | trans(s99, s68))),
% 1.20/1.41 inference(monotonicity,[status(thm)],[5853])).
% 1.20/1.41 tff(5855,plain,
% 1.20/1.41 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68))),
% 1.20/1.41 inference(transitivity,[status(thm)],[5854, 5654])).
% 1.20/1.41 tff(5856,plain,
% 1.20/1.41 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68)) | trans(s99, s69))),
% 1.20/1.42 inference(monotonicity,[status(thm)],[5855])).
% 1.20/1.42 tff(5857,plain,
% 1.20/1.42 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69))),
% 1.20/1.42 inference(transitivity,[status(thm)],[5856, 5653])).
% 1.20/1.42 tff(5858,plain,
% 1.20/1.42 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69)) | trans(s99, s70))),
% 1.20/1.42 inference(monotonicity,[status(thm)],[5857])).
% 1.20/1.42 tff(5859,plain,
% 1.20/1.42 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70))),
% 1.20/1.42 inference(transitivity,[status(thm)],[5858, 5652])).
% 1.20/1.42 tff(5860,plain,
% 1.20/1.42 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70)) | trans(s99, s71))),
% 1.20/1.42 inference(monotonicity,[status(thm)],[5859])).
% 1.20/1.42 tff(5861,plain,
% 1.20/1.42 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71))),
% 1.20/1.43 inference(transitivity,[status(thm)],[5860, 5651])).
% 1.20/1.43 tff(5862,plain,
% 1.20/1.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71)) | trans(s99, s72))),
% 1.20/1.43 inference(monotonicity,[status(thm)],[5861])).
% 1.20/1.43 tff(5863,plain,
% 1.20/1.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72))),
% 1.20/1.43 inference(transitivity,[status(thm)],[5862, 5650])).
% 1.20/1.43 tff(5864,plain,
% 1.20/1.43 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72)) | trans(s99, s73))),
% 1.20/1.43 inference(monotonicity,[status(thm)],[5863])).
% 1.20/1.43 tff(5865,plain,
% 1.20/1.43 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73))),
% 1.20/1.43 inference(transitivity,[status(thm)],[5864, 5649])).
% 1.20/1.43 tff(5866,plain,
% 1.20/1.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73)) | trans(s99, s74))),
% 1.20/1.43 inference(monotonicity,[status(thm)],[5865])).
% 1.20/1.43 tff(5867,plain,
% 1.20/1.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74))),
% 1.20/1.44 inference(transitivity,[status(thm)],[5866, 5648])).
% 1.20/1.44 tff(5868,plain,
% 1.20/1.44 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74)) | trans(s99, s75))),
% 1.20/1.44 inference(monotonicity,[status(thm)],[5867])).
% 1.20/1.44 tff(5869,plain,
% 1.20/1.44 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75))),
% 1.20/1.44 inference(transitivity,[status(thm)],[5868, 5647])).
% 1.20/1.44 tff(5870,plain,
% 1.20/1.44 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75)) | trans(s99, s76))),
% 1.20/1.44 inference(monotonicity,[status(thm)],[5869])).
% 1.20/1.44 tff(5871,plain,
% 1.20/1.44 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76))),
% 1.28/1.45 inference(transitivity,[status(thm)],[5870, 5646])).
% 1.28/1.45 tff(5872,plain,
% 1.28/1.45 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76)) | trans(s99, s77))),
% 1.28/1.45 inference(monotonicity,[status(thm)],[5871])).
% 1.28/1.45 tff(5873,plain,
% 1.28/1.45 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77))),
% 1.28/1.45 inference(transitivity,[status(thm)],[5872, 5645])).
% 1.28/1.45 tff(5874,plain,
% 1.28/1.45 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77)) | trans(s99, s78))),
% 1.28/1.45 inference(monotonicity,[status(thm)],[5873])).
% 1.28/1.45 tff(5875,plain,
% 1.28/1.45 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78))),
% 1.28/1.46 inference(transitivity,[status(thm)],[5874, 5644])).
% 1.28/1.46 tff(5876,plain,
% 1.28/1.46 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78)) | trans(s99, s79))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[5875])).
% 1.28/1.46 tff(5877,plain,
% 1.28/1.46 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79))),
% 1.28/1.46 inference(transitivity,[status(thm)],[5876, 5643])).
% 1.28/1.46 tff(5878,plain,
% 1.28/1.46 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79)) | trans(s99, s80))),
% 1.28/1.46 inference(monotonicity,[status(thm)],[5877])).
% 1.28/1.46 tff(5879,plain,
% 1.28/1.46 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80))),
% 1.28/1.47 inference(transitivity,[status(thm)],[5878, 5642])).
% 1.28/1.47 tff(5880,plain,
% 1.28/1.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80)) | trans(s99, s81))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[5879])).
% 1.28/1.47 tff(5881,plain,
% 1.28/1.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81))),
% 1.28/1.47 inference(transitivity,[status(thm)],[5880, 5641])).
% 1.28/1.47 tff(5882,plain,
% 1.28/1.47 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81)) | trans(s99, s82))),
% 1.28/1.47 inference(monotonicity,[status(thm)],[5881])).
% 1.28/1.47 tff(5883,plain,
% 1.28/1.47 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82))),
% 1.28/1.47 inference(transitivity,[status(thm)],[5882, 5640])).
% 1.28/1.47 tff(5884,plain,
% 1.28/1.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82)) | trans(s99, s83))),
% 1.31/1.48 inference(monotonicity,[status(thm)],[5883])).
% 1.31/1.48 tff(5885,plain,
% 1.31/1.48 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83))),
% 1.31/1.48 inference(transitivity,[status(thm)],[5884, 5639])).
% 1.31/1.48 tff(5886,plain,
% 1.31/1.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83)) | trans(s99, s84))),
% 1.31/1.48 inference(monotonicity,[status(thm)],[5885])).
% 1.31/1.48 tff(5887,plain,
% 1.31/1.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84))),
% 1.31/1.48 inference(transitivity,[status(thm)],[5886, 5638])).
% 1.31/1.48 tff(5888,plain,
% 1.31/1.49 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84)) | trans(s99, s85))),
% 1.31/1.49 inference(monotonicity,[status(thm)],[5887])).
% 1.31/1.49 tff(5889,plain,
% 1.31/1.49 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85))),
% 1.31/1.49 inference(transitivity,[status(thm)],[5888, 5637])).
% 1.31/1.49 tff(5890,plain,
% 1.31/1.49 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85)) | trans(s99, s86))),
% 1.31/1.49 inference(monotonicity,[status(thm)],[5889])).
% 1.31/1.49 tff(5891,plain,
% 1.31/1.49 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86))),
% 1.31/1.50 inference(transitivity,[status(thm)],[5890, 5636])).
% 1.31/1.50 tff(5892,plain,
% 1.31/1.50 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86)) | trans(s99, s87))),
% 1.31/1.50 inference(monotonicity,[status(thm)],[5891])).
% 1.31/1.50 tff(5893,plain,
% 1.31/1.50 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87))),
% 1.31/1.50 inference(transitivity,[status(thm)],[5892, 5635])).
% 1.31/1.50 tff(5894,plain,
% 1.31/1.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87)) | trans(s99, s88))),
% 1.31/1.50 inference(monotonicity,[status(thm)],[5893])).
% 1.31/1.50 tff(5895,plain,
% 1.31/1.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88))),
% 1.31/1.51 inference(transitivity,[status(thm)],[5894, 5634])).
% 1.31/1.51 tff(5896,plain,
% 1.31/1.51 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88)) | trans(s99, s89))),
% 1.31/1.51 inference(monotonicity,[status(thm)],[5895])).
% 1.31/1.51 tff(5897,plain,
% 1.31/1.51 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89))),
% 1.31/1.51 inference(transitivity,[status(thm)],[5896, 5633])).
% 1.31/1.51 tff(5898,plain,
% 1.31/1.51 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89)) | trans(s99, s90))),
% 1.31/1.51 inference(monotonicity,[status(thm)],[5897])).
% 1.31/1.51 tff(5899,plain,
% 1.31/1.51 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90))),
% 1.31/1.52 inference(transitivity,[status(thm)],[5898, 5632])).
% 1.31/1.52 tff(5900,plain,
% 1.31/1.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90)) | trans(s99, s91))),
% 1.31/1.52 inference(monotonicity,[status(thm)],[5899])).
% 1.31/1.52 tff(5901,plain,
% 1.31/1.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91))),
% 1.31/1.52 inference(transitivity,[status(thm)],[5900, 5631])).
% 1.31/1.52 tff(5902,plain,
% 1.31/1.52 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91)) | trans(s99, s92))),
% 1.31/1.52 inference(monotonicity,[status(thm)],[5901])).
% 1.31/1.52 tff(5903,plain,
% 1.31/1.52 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92))),
% 1.31/1.53 inference(transitivity,[status(thm)],[5902, 5630])).
% 1.31/1.53 tff(5904,plain,
% 1.31/1.53 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92)) | trans(s99, s93))),
% 1.37/1.53 inference(monotonicity,[status(thm)],[5903])).
% 1.37/1.53 tff(5905,plain,
% 1.37/1.53 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93))),
% 1.37/1.53 inference(transitivity,[status(thm)],[5904, 5629])).
% 1.37/1.53 tff(5906,plain,
% 1.37/1.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93)) | trans(s99, s94))),
% 1.37/1.54 inference(monotonicity,[status(thm)],[5905])).
% 1.37/1.54 tff(5907,plain,
% 1.37/1.54 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94))),
% 1.37/1.54 inference(transitivity,[status(thm)],[5906, 5628])).
% 1.37/1.54 tff(5908,plain,
% 1.37/1.54 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94)) | trans(s99, s95))),
% 1.37/1.54 inference(monotonicity,[status(thm)],[5907])).
% 1.37/1.54 tff(5909,plain,
% 1.37/1.54 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95))),
% 1.37/1.54 inference(transitivity,[status(thm)],[5908, 5627])).
% 1.37/1.55 tff(5910,plain,
% 1.37/1.55 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95)) | trans(s99, s96))),
% 1.37/1.55 inference(monotonicity,[status(thm)],[5909])).
% 1.37/1.55 tff(5911,plain,
% 1.37/1.55 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96))),
% 1.38/1.55 inference(transitivity,[status(thm)],[5910, 5626])).
% 1.38/1.55 tff(5912,plain,
% 1.38/1.55 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) | trans(s99, s97)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96)) | trans(s99, s97))),
% 1.38/1.55 inference(monotonicity,[status(thm)],[5911])).
% 1.38/1.55 tff(5913,plain,
% 1.38/1.55 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) | trans(s99, s97)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97))),
% 1.38/1.56 inference(transitivity,[status(thm)],[5912, 5625])).
% 1.38/1.56 tff(5914,plain,
% 1.38/1.56 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) | trans(s99, s97)) | trans(s99, s98)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97)) | trans(s99, s98))),
% 1.38/1.56 inference(monotonicity,[status(thm)],[5913])).
% 1.38/1.56 tff(5915,plain,
% 1.38/1.56 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) | trans(s99, s97)) | trans(s99, s98)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98))),
% 1.38/1.56 inference(transitivity,[status(thm)],[5914, 5624])).
% 1.38/1.56 tff(5916,plain,
% 1.38/1.56 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) | trans(s99, s97)) | trans(s99, s98)) | trans(s99, s99)) <=> (((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98)) | trans(s99, s99))),
% 1.38/1.57 inference(monotonicity,[status(thm)],[5915])).
% 1.38/1.57 tff(5917,plain,
% 1.38/1.57 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) | trans(s99, s97)) | trans(s99, s98)) | trans(s99, s99)) <=> ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99))),
% 1.38/1.57 inference(transitivity,[status(thm)],[5916, 5623])).
% 1.38/1.57 tff(5918,axiom,(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s99, s0)) | trans(s99, s1)) | trans(s99, s2)) | trans(s99, s3)) | trans(s99, s4)) | trans(s99, s5)) | trans(s99, s6)) | trans(s99, s7)) | trans(s99, s8)) | trans(s99, s9)) | trans(s99, s10)) | trans(s99, s11)) | trans(s99, s12)) | trans(s99, s13)) | trans(s99, s14)) | trans(s99, s15)) | trans(s99, s16)) | trans(s99, s17)) | trans(s99, s18)) | trans(s99, s19)) | trans(s99, s20)) | trans(s99, s21)) | trans(s99, s22)) | trans(s99, s23)) | trans(s99, s24)) | trans(s99, s25)) | trans(s99, s26)) | trans(s99, s27)) | trans(s99, s28)) | trans(s99, s29)) | trans(s99, s30)) | trans(s99, s31)) | trans(s99, s32)) | trans(s99, s33)) | trans(s99, s34)) | trans(s99, s35)) | trans(s99, s36)) | trans(s99, s37)) | trans(s99, s38)) | trans(s99, s39)) | trans(s99, s40)) | trans(s99, s41)) | trans(s99, s42)) | trans(s99, s43)) | trans(s99, s44)) | trans(s99, s45)) | trans(s99, s46)) | trans(s99, s47)) | trans(s99, s48)) | trans(s99, s49)) | trans(s99, s50)) | trans(s99, s51)) | trans(s99, s52)) | trans(s99, s53)) | trans(s99, s54)) | trans(s99, s55)) | trans(s99, s56)) | trans(s99, s57)) | trans(s99, s58)) | trans(s99, s59)) | trans(s99, s60)) | trans(s99, s61)) | trans(s99, s62)) | trans(s99, s63)) | trans(s99, s64)) | trans(s99, s65)) | trans(s99, s66)) | trans(s99, s67)) | trans(s99, s68)) | trans(s99, s69)) | trans(s99, s70)) | trans(s99, s71)) | trans(s99, s72)) | trans(s99, s73)) | trans(s99, s74)) | trans(s99, s75)) | trans(s99, s76)) | trans(s99, s77)) | trans(s99, s78)) | trans(s99, s79)) | trans(s99, s80)) | trans(s99, s81)) | trans(s99, s82)) | trans(s99, s83)) | trans(s99, s84)) | trans(s99, s85)) | trans(s99, s86)) | trans(s99, s87)) | trans(s99, s88)) | trans(s99, s89)) | trans(s99, s90)) | trans(s99, s91)) | trans(s99, s92)) | trans(s99, s93)) | trans(s99, s94)) | trans(s99, s95)) | trans(s99, s96)) | trans(s99, s97)) | trans(s99, s98)) | trans(s99, s99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound102')).
% 1.38/1.57 tff(5919,plain,
% 1.38/1.57 ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)),
% 1.38/1.57 inference(modus_ponens,[status(thm)],[5918, 5917])).
% 1.38/1.57 tff(5920,plain,
% 1.38/1.57 ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)),
% 1.38/1.57 inference(modus_ponens,[status(thm)],[5919, 5622])).
% 1.38/1.57 tff(5921,plain,
% 1.38/1.57 ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)),
% 1.38/1.57 inference(modus_ponens,[status(thm)],[5920, 5622])).
% 1.38/1.57 tff(5922,plain,
% 1.38/1.57 ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)),
% 1.38/1.57 inference(modus_ponens,[status(thm)],[5921, 5622])).
% 1.38/1.57 tff(5923,plain,
% 1.38/1.57 ((~loop) | trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[5922, 5622])).
% 1.38/1.58 tff(5924,plain,
% 1.38/1.58 (trans(s99, s98)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5923, 5621, 5610, 5599, 5588, 5573, 5562, 5551, 5540, 5529, 5518, 5507, 5496, 5485, 5474, 5463, 5452, 5441, 5430, 5419, 5408, 5397, 5386, 5375, 5364, 5353, 5342, 5331, 5320, 5309, 5298, 5287, 5276, 5265, 5254, 5243, 5232, 5221, 5210, 5199, 5188, 5153, 5142, 5131, 5120, 5109, 5098, 5087, 5076, 5065, 5054, 5043, 5032, 5021, 5010, 4999, 4988, 4977, 4966, 4955, 4944, 4933, 4922, 4911, 4900, 4889, 4878, 4867, 4856, 4845, 4834, 4823, 4812, 4801, 4790, 4779, 4768, 4757, 4746, 4735, 4724, 4713, 4702, 4691, 4680, 4585, 4574, 4563, 4446, 4435, 4424, 4413, 4402, 4391, 4380, 4369, 4358, 4347, 4336, 4325, 4314])).
% 1.38/1.58 tff(5925,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s98) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s98)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s98) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s98)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(5926,plain,
% 1.38/1.58 (((~trans(s99, s98)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s98)) <=> (until2p7(s98) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s98)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(5927,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s98)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s98) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s98))))),
% 1.38/1.58 inference(monotonicity,[status(thm)],[5926])).
% 1.38/1.58 tff(5928,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s98)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s98) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s98)))),
% 1.38/1.58 inference(transitivity,[status(thm)],[5927, 5925])).
% 1.38/1.58 tff(5929,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s99, s98)) | (~last(s99)) | (~xuntil6(s99)) | until2p7(s98))),
% 1.38/1.58 inference(quant_inst,[status(thm)],[])).
% 1.38/1.58 tff(5930,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s98) | (~last(s99)) | (~xuntil6(s99)) | (~trans(s99, s98))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[5929, 5928])).
% 1.38/1.58 tff(5931,plain,
% 1.38/1.58 ($false),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5930, 3037, 5924, 3085, 3075, 3026])).
% 1.38/1.58 tff(5932,plain,(always3(s99)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.58 tff(5933,assumption,(~always3(s15)), introduced(assumption)).
% 1.38/1.58 tff(5934,assumption,(always3(s99)), introduced(assumption)).
% 1.38/1.58 tff(5935,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s15) | (~trans(s99, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s15) | (~trans(s99, s15)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(5936,plain,
% 1.38/1.58 (((~trans(s99, s15)) | (~always3(s99)) | always3(s15)) <=> ((~always3(s99)) | always3(s15) | (~trans(s99, s15)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(5937,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s15)) | (~always3(s99)) | always3(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s15) | (~trans(s99, s15))))),
% 1.38/1.58 inference(monotonicity,[status(thm)],[5936])).
% 1.38/1.58 tff(5938,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s15)) | (~always3(s99)) | always3(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s15) | (~trans(s99, s15)))),
% 1.38/1.58 inference(transitivity,[status(thm)],[5937, 5935])).
% 1.38/1.58 tff(5939,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s15)) | (~always3(s99)) | always3(s15))),
% 1.38/1.58 inference(quant_inst,[status(thm)],[])).
% 1.38/1.58 tff(5940,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s15) | (~trans(s99, s15))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[5939, 5938])).
% 1.38/1.58 tff(5941,plain,
% 1.38/1.58 ($false),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5940, 4305, 50, 5934, 5933])).
% 1.38/1.58 tff(5942,plain,((~trans(s99, s15)) | (~always3(s99)) | always3(s15)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.58 tff(5943,plain,
% 1.38/1.58 ((~trans(s99, s15)) | always3(s15)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5942, 5932])).
% 1.38/1.58 tff(5944,plain,
% 1.38/1.58 (~trans(s99, s15)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5943, 439])).
% 1.38/1.58 tff(5945,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s48) | (~trans(s99, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s48) | (~trans(s99, s48)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(5946,plain,
% 1.38/1.58 (((~trans(s99, s48)) | (~always3(s99)) | always3(s48)) <=> ((~always3(s99)) | always3(s48) | (~trans(s99, s48)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(5947,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s48)) | (~always3(s99)) | always3(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s48) | (~trans(s99, s48))))),
% 1.38/1.58 inference(monotonicity,[status(thm)],[5946])).
% 1.38/1.58 tff(5948,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s48)) | (~always3(s99)) | always3(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s48) | (~trans(s99, s48)))),
% 1.38/1.58 inference(transitivity,[status(thm)],[5947, 5945])).
% 1.38/1.58 tff(5949,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s48)) | (~always3(s99)) | always3(s48))),
% 1.38/1.58 inference(quant_inst,[status(thm)],[])).
% 1.38/1.58 tff(5950,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s48) | (~trans(s99, s48))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[5949, 5948])).
% 1.38/1.58 tff(5951,plain,
% 1.38/1.58 ($false),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5950, 4360, 50, 5934, 26])).
% 1.38/1.58 tff(5952,plain,((~trans(s99, s48)) | (~always3(s99)) | always3(s48)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.58 tff(5953,plain,
% 1.38/1.58 ((~trans(s99, s48)) | always3(s48)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5952, 5932])).
% 1.38/1.58 tff(5954,plain,
% 1.38/1.58 (~trans(s99, s48)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5953, 26])).
% 1.38/1.58 tff(5955,assumption,(~always3(s39)), introduced(assumption)).
% 1.38/1.58 tff(5956,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s39) | (~trans(s99, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s39) | (~trans(s99, s39)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(5957,plain,
% 1.38/1.58 (((~trans(s99, s39)) | (~always3(s99)) | always3(s39)) <=> ((~always3(s99)) | always3(s39) | (~trans(s99, s39)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(5958,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s39)) | (~always3(s99)) | always3(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s39) | (~trans(s99, s39))))),
% 1.38/1.58 inference(monotonicity,[status(thm)],[5957])).
% 1.38/1.58 tff(5959,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s39)) | (~always3(s99)) | always3(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s39) | (~trans(s99, s39)))),
% 1.38/1.58 inference(transitivity,[status(thm)],[5958, 5956])).
% 1.38/1.58 tff(5960,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s39)) | (~always3(s99)) | always3(s39))),
% 1.38/1.58 inference(quant_inst,[status(thm)],[])).
% 1.38/1.58 tff(5961,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s39) | (~trans(s99, s39))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[5960, 5959])).
% 1.38/1.58 tff(5962,plain,
% 1.38/1.58 ($false),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5961, 4338, 50, 5934, 5955])).
% 1.38/1.58 tff(5963,plain,((~trans(s99, s39)) | (~always3(s99)) | always3(s39)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.58 tff(5964,plain,
% 1.38/1.58 ((~trans(s99, s39)) | always3(s39)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5963, 5932])).
% 1.38/1.58 tff(5965,plain,
% 1.38/1.58 (~trans(s99, s39)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5964, 151])).
% 1.38/1.58 tff(5966,assumption,(~always3(s41)), introduced(assumption)).
% 1.38/1.58 tff(5967,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s41) | (~trans(s99, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s41) | (~trans(s99, s41)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(5968,plain,
% 1.38/1.58 (((~trans(s99, s41)) | (~always3(s99)) | always3(s41)) <=> ((~always3(s99)) | always3(s41) | (~trans(s99, s41)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(5969,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s41)) | (~always3(s99)) | always3(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s41) | (~trans(s99, s41))))),
% 1.38/1.58 inference(monotonicity,[status(thm)],[5968])).
% 1.38/1.58 tff(5970,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s41)) | (~always3(s99)) | always3(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s41) | (~trans(s99, s41)))),
% 1.38/1.58 inference(transitivity,[status(thm)],[5969, 5967])).
% 1.38/1.58 tff(5971,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s41)) | (~always3(s99)) | always3(s41))),
% 1.38/1.58 inference(quant_inst,[status(thm)],[])).
% 1.38/1.58 tff(5972,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s41) | (~trans(s99, s41))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[5971, 5970])).
% 1.38/1.58 tff(5973,plain,
% 1.38/1.58 ($false),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5972, 4382, 50, 5934, 5966])).
% 1.38/1.58 tff(5974,plain,((~trans(s99, s41)) | (~always3(s99)) | always3(s41)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.58 tff(5975,plain,
% 1.38/1.58 ((~trans(s99, s41)) | always3(s41)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5974, 5932])).
% 1.38/1.58 tff(5976,plain,
% 1.38/1.58 (~trans(s99, s41)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5975, 127])).
% 1.38/1.58 tff(5977,assumption,(~always3(s19)), introduced(assumption)).
% 1.38/1.58 tff(5978,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s19) | (~trans(s99, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s19) | (~trans(s99, s19)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(5979,plain,
% 1.38/1.58 (((~trans(s99, s19)) | (~always3(s99)) | always3(s19)) <=> ((~always3(s99)) | always3(s19) | (~trans(s99, s19)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(5980,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s19)) | (~always3(s99)) | always3(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s19) | (~trans(s99, s19))))),
% 1.38/1.58 inference(monotonicity,[status(thm)],[5979])).
% 1.38/1.58 tff(5981,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s19)) | (~always3(s99)) | always3(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s19) | (~trans(s99, s19)))),
% 1.38/1.58 inference(transitivity,[status(thm)],[5980, 5978])).
% 1.38/1.58 tff(5982,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s19)) | (~always3(s99)) | always3(s19))),
% 1.38/1.58 inference(quant_inst,[status(thm)],[])).
% 1.38/1.58 tff(5983,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s19) | (~trans(s99, s19))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[5982, 5981])).
% 1.38/1.58 tff(5984,plain,
% 1.38/1.58 ($false),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5983, 4404, 50, 5934, 5977])).
% 1.38/1.58 tff(5985,plain,((~trans(s99, s19)) | (~always3(s99)) | always3(s19)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.58 tff(5986,plain,
% 1.38/1.58 ((~trans(s99, s19)) | always3(s19)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5985, 5932])).
% 1.38/1.58 tff(5987,plain,
% 1.38/1.58 (~trans(s99, s19)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5986, 391])).
% 1.38/1.58 tff(5988,assumption,(~always3(s44)), introduced(assumption)).
% 1.38/1.58 tff(5989,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s44) | (~trans(s99, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s44) | (~trans(s99, s44)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(5990,plain,
% 1.38/1.58 (((~trans(s99, s44)) | (~always3(s99)) | always3(s44)) <=> ((~always3(s99)) | always3(s44) | (~trans(s99, s44)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(5991,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s44)) | (~always3(s99)) | always3(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s44) | (~trans(s99, s44))))),
% 1.38/1.58 inference(monotonicity,[status(thm)],[5990])).
% 1.38/1.58 tff(5992,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s44)) | (~always3(s99)) | always3(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s44) | (~trans(s99, s44)))),
% 1.38/1.58 inference(transitivity,[status(thm)],[5991, 5989])).
% 1.38/1.58 tff(5993,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s44)) | (~always3(s99)) | always3(s44))),
% 1.38/1.58 inference(quant_inst,[status(thm)],[])).
% 1.38/1.58 tff(5994,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s44) | (~trans(s99, s44))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[5993, 5992])).
% 1.38/1.58 tff(5995,plain,
% 1.38/1.58 ($false),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5994, 4565, 50, 5934, 5988])).
% 1.38/1.58 tff(5996,plain,((~trans(s99, s44)) | (~always3(s99)) | always3(s44)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.58 tff(5997,plain,
% 1.38/1.58 ((~trans(s99, s44)) | always3(s44)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5996, 5932])).
% 1.38/1.58 tff(5998,plain,
% 1.38/1.58 (~trans(s99, s44)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[5997, 91])).
% 1.38/1.58 tff(5999,assumption,(~always3(s38)), introduced(assumption)).
% 1.38/1.58 tff(6000,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s38) | (~trans(s99, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s38) | (~trans(s99, s38)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(6001,plain,
% 1.38/1.58 (((~trans(s99, s38)) | (~always3(s99)) | always3(s38)) <=> ((~always3(s99)) | always3(s38) | (~trans(s99, s38)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(6002,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s38)) | (~always3(s99)) | always3(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s38) | (~trans(s99, s38))))),
% 1.38/1.58 inference(monotonicity,[status(thm)],[6001])).
% 1.38/1.58 tff(6003,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s38)) | (~always3(s99)) | always3(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s38) | (~trans(s99, s38)))),
% 1.38/1.58 inference(transitivity,[status(thm)],[6002, 6000])).
% 1.38/1.58 tff(6004,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s38)) | (~always3(s99)) | always3(s38))),
% 1.38/1.58 inference(quant_inst,[status(thm)],[])).
% 1.38/1.58 tff(6005,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s38) | (~trans(s99, s38))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[6004, 6003])).
% 1.38/1.58 tff(6006,plain,
% 1.38/1.58 ($false),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[6005, 4576, 50, 5934, 5999])).
% 1.38/1.58 tff(6007,plain,((~trans(s99, s38)) | (~always3(s99)) | always3(s38)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.58 tff(6008,plain,
% 1.38/1.58 ((~trans(s99, s38)) | always3(s38)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[6007, 5932])).
% 1.38/1.58 tff(6009,plain,
% 1.38/1.58 (~trans(s99, s38)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[6008, 163])).
% 1.38/1.58 tff(6010,plain,
% 1.38/1.58 (~always3(s14)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[1942, 439])).
% 1.38/1.58 tff(6011,plain,
% 1.38/1.58 (~always3(s13)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[1954, 6010])).
% 1.38/1.58 tff(6012,plain,
% 1.38/1.58 (~always3(s12)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[1966, 6011])).
% 1.38/1.58 tff(6013,plain,
% 1.38/1.58 (~always3(s11)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[1978, 6012])).
% 1.38/1.58 tff(6014,plain,
% 1.38/1.58 (~always3(s10)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[1990, 6013])).
% 1.38/1.58 tff(6015,plain,
% 1.38/1.58 (~always3(s9)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[2002, 6014])).
% 1.38/1.58 tff(6016,plain,
% 1.38/1.58 (~always3(s8)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[2014, 6015])).
% 1.38/1.58 tff(6017,plain,
% 1.38/1.58 (~always3(s7)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[2026, 6016])).
% 1.38/1.58 tff(6018,plain,
% 1.38/1.58 (~always3(s6)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[2038, 6017])).
% 1.38/1.58 tff(6019,plain,
% 1.38/1.58 (~always3(s5)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[2050, 6018])).
% 1.38/1.58 tff(6020,plain,
% 1.38/1.58 (~always3(s4)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[2062, 6019])).
% 1.38/1.58 tff(6021,plain,
% 1.38/1.58 (~always3(s3)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[2074, 6020])).
% 1.38/1.58 tff(6022,plain,
% 1.38/1.58 (~always3(s2)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[2086, 6021])).
% 1.38/1.58 tff(6023,assumption,(~always3(s2)), introduced(assumption)).
% 1.38/1.58 tff(6024,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s2) | (~trans(s99, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s2) | (~trans(s99, s2)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(6025,plain,
% 1.38/1.58 (((~trans(s99, s2)) | (~always3(s99)) | always3(s2)) <=> ((~always3(s99)) | always3(s2) | (~trans(s99, s2)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(6026,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s2)) | (~always3(s99)) | always3(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s2) | (~trans(s99, s2))))),
% 1.38/1.58 inference(monotonicity,[status(thm)],[6025])).
% 1.38/1.58 tff(6027,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s2)) | (~always3(s99)) | always3(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s2) | (~trans(s99, s2)))),
% 1.38/1.58 inference(transitivity,[status(thm)],[6026, 6024])).
% 1.38/1.58 tff(6028,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s2)) | (~always3(s99)) | always3(s2))),
% 1.38/1.58 inference(quant_inst,[status(thm)],[])).
% 1.38/1.58 tff(6029,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s2) | (~trans(s99, s2))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[6028, 6027])).
% 1.38/1.58 tff(6030,plain,
% 1.38/1.58 ($false),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[6029, 4671, 50, 5934, 6023])).
% 1.38/1.58 tff(6031,plain,((~trans(s99, s2)) | (~always3(s99)) | always3(s2)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.58 tff(6032,plain,
% 1.38/1.58 ((~trans(s99, s2)) | always3(s2)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[6031, 5932])).
% 1.38/1.58 tff(6033,plain,
% 1.38/1.58 (~trans(s99, s2)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[6032, 6022])).
% 1.38/1.58 tff(6034,assumption,(~always3(s4)), introduced(assumption)).
% 1.38/1.58 tff(6035,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s4) | (~trans(s99, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s4) | (~trans(s99, s4)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(6036,plain,
% 1.38/1.58 (((~trans(s99, s4)) | (~always3(s99)) | always3(s4)) <=> ((~always3(s99)) | always3(s4) | (~trans(s99, s4)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(6037,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s4)) | (~always3(s99)) | always3(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s4) | (~trans(s99, s4))))),
% 1.38/1.58 inference(monotonicity,[status(thm)],[6036])).
% 1.38/1.58 tff(6038,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s4)) | (~always3(s99)) | always3(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s4) | (~trans(s99, s4)))),
% 1.38/1.58 inference(transitivity,[status(thm)],[6037, 6035])).
% 1.38/1.58 tff(6039,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s4)) | (~always3(s99)) | always3(s4))),
% 1.38/1.58 inference(quant_inst,[status(thm)],[])).
% 1.38/1.58 tff(6040,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s4) | (~trans(s99, s4))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[6039, 6038])).
% 1.38/1.58 tff(6041,plain,
% 1.38/1.58 ($false),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[6040, 4682, 50, 5934, 6034])).
% 1.38/1.58 tff(6042,plain,((~trans(s99, s4)) | (~always3(s99)) | always3(s4)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.58 tff(6043,plain,
% 1.38/1.58 ((~trans(s99, s4)) | always3(s4)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[6042, 5932])).
% 1.38/1.58 tff(6044,plain,
% 1.38/1.58 (~trans(s99, s4)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[6043, 6020])).
% 1.38/1.58 tff(6045,assumption,(~always3(s37)), introduced(assumption)).
% 1.38/1.58 tff(6046,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s37) | (~trans(s99, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s37) | (~trans(s99, s37)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(6047,plain,
% 1.38/1.58 (((~trans(s99, s37)) | (~always3(s99)) | always3(s37)) <=> ((~always3(s99)) | always3(s37) | (~trans(s99, s37)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(6048,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s37)) | (~always3(s99)) | always3(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s37) | (~trans(s99, s37))))),
% 1.38/1.58 inference(monotonicity,[status(thm)],[6047])).
% 1.38/1.58 tff(6049,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s37)) | (~always3(s99)) | always3(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s37) | (~trans(s99, s37)))),
% 1.38/1.58 inference(transitivity,[status(thm)],[6048, 6046])).
% 1.38/1.58 tff(6050,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s37)) | (~always3(s99)) | always3(s37))),
% 1.38/1.58 inference(quant_inst,[status(thm)],[])).
% 1.38/1.58 tff(6051,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s37) | (~trans(s99, s37))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[6050, 6049])).
% 1.38/1.58 tff(6052,plain,
% 1.38/1.58 ($false),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[6051, 4693, 50, 5934, 6045])).
% 1.38/1.58 tff(6053,plain,((~trans(s99, s37)) | (~always3(s99)) | always3(s37)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.58 tff(6054,plain,
% 1.38/1.58 ((~trans(s99, s37)) | always3(s37)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[6053, 5932])).
% 1.38/1.58 tff(6055,plain,
% 1.38/1.58 (~trans(s99, s37)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[6054, 175])).
% 1.38/1.58 tff(6056,assumption,(~always3(s13)), introduced(assumption)).
% 1.38/1.58 tff(6057,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s13) | (~trans(s99, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s13) | (~trans(s99, s13)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(6058,plain,
% 1.38/1.58 (((~trans(s99, s13)) | (~always3(s99)) | always3(s13)) <=> ((~always3(s99)) | always3(s13) | (~trans(s99, s13)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(6059,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s13)) | (~always3(s99)) | always3(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s13) | (~trans(s99, s13))))),
% 1.38/1.58 inference(monotonicity,[status(thm)],[6058])).
% 1.38/1.58 tff(6060,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s13)) | (~always3(s99)) | always3(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s13) | (~trans(s99, s13)))),
% 1.38/1.58 inference(transitivity,[status(thm)],[6059, 6057])).
% 1.38/1.58 tff(6061,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s13)) | (~always3(s99)) | always3(s13))),
% 1.38/1.58 inference(quant_inst,[status(thm)],[])).
% 1.38/1.58 tff(6062,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s13) | (~trans(s99, s13))),
% 1.38/1.58 inference(modus_ponens,[status(thm)],[6061, 6060])).
% 1.38/1.58 tff(6063,plain,
% 1.38/1.58 ($false),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[6062, 4726, 50, 5934, 6056])).
% 1.38/1.58 tff(6064,plain,((~trans(s99, s13)) | (~always3(s99)) | always3(s13)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.58 tff(6065,plain,
% 1.38/1.58 ((~trans(s99, s13)) | always3(s13)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[6064, 5932])).
% 1.38/1.58 tff(6066,plain,
% 1.38/1.58 (~trans(s99, s13)),
% 1.38/1.58 inference(unit_resolution,[status(thm)],[6065, 6011])).
% 1.38/1.58 tff(6067,assumption,(~always3(s42)), introduced(assumption)).
% 1.38/1.58 tff(6068,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s42) | (~trans(s99, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s42) | (~trans(s99, s42)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(6069,plain,
% 1.38/1.58 (((~trans(s99, s42)) | (~always3(s99)) | always3(s42)) <=> ((~always3(s99)) | always3(s42) | (~trans(s99, s42)))),
% 1.38/1.58 inference(rewrite,[status(thm)],[])).
% 1.38/1.58 tff(6070,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s42)) | (~always3(s99)) | always3(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s42) | (~trans(s99, s42))))),
% 1.38/1.58 inference(monotonicity,[status(thm)],[6069])).
% 1.38/1.58 tff(6071,plain,
% 1.38/1.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s42)) | (~always3(s99)) | always3(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s42) | (~trans(s99, s42)))),
% 1.38/1.58 inference(transitivity,[status(thm)],[6070, 6068])).
% 1.38/1.58 tff(6072,plain,
% 1.38/1.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s42)) | (~always3(s99)) | always3(s42))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6073,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s42) | (~trans(s99, s42))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[6072, 6071])).
% 1.38/1.59 tff(6074,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6073, 4737, 50, 5934, 6067])).
% 1.38/1.59 tff(6075,plain,((~trans(s99, s42)) | (~always3(s99)) | always3(s42)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(6076,plain,
% 1.38/1.59 ((~trans(s99, s42)) | always3(s42)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6075, 5932])).
% 1.38/1.59 tff(6077,plain,
% 1.38/1.59 (~trans(s99, s42)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6076, 115])).
% 1.38/1.59 tff(6078,assumption,(~always3(s47)), introduced(assumption)).
% 1.38/1.59 tff(6079,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s47) | (~trans(s99, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s47) | (~trans(s99, s47)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6080,plain,
% 1.38/1.59 (((~trans(s99, s47)) | (~always3(s99)) | always3(s47)) <=> ((~always3(s99)) | always3(s47) | (~trans(s99, s47)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6081,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s47)) | (~always3(s99)) | always3(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s47) | (~trans(s99, s47))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[6080])).
% 1.38/1.59 tff(6082,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s47)) | (~always3(s99)) | always3(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s47) | (~trans(s99, s47)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[6081, 6079])).
% 1.38/1.59 tff(6083,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s47)) | (~always3(s99)) | always3(s47))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6084,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s47) | (~trans(s99, s47))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[6083, 6082])).
% 1.38/1.59 tff(6085,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6084, 4748, 50, 5934, 6078])).
% 1.38/1.59 tff(6086,plain,((~trans(s99, s47)) | (~always3(s99)) | always3(s47)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(6087,plain,
% 1.38/1.59 ((~trans(s99, s47)) | always3(s47)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6086, 5932])).
% 1.38/1.59 tff(6088,plain,
% 1.38/1.59 (~trans(s99, s47)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6087, 55])).
% 1.38/1.59 tff(6089,assumption,(~always3(s25)), introduced(assumption)).
% 1.38/1.59 tff(6090,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s25) | (~trans(s99, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s25) | (~trans(s99, s25)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6091,plain,
% 1.38/1.59 (((~trans(s99, s25)) | (~always3(s99)) | always3(s25)) <=> ((~always3(s99)) | always3(s25) | (~trans(s99, s25)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6092,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s25)) | (~always3(s99)) | always3(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s25) | (~trans(s99, s25))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[6091])).
% 1.38/1.59 tff(6093,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s25)) | (~always3(s99)) | always3(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s25) | (~trans(s99, s25)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[6092, 6090])).
% 1.38/1.59 tff(6094,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s25)) | (~always3(s99)) | always3(s25))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6095,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s25) | (~trans(s99, s25))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[6094, 6093])).
% 1.38/1.59 tff(6096,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6095, 4759, 50, 5934, 6089])).
% 1.38/1.59 tff(6097,plain,((~trans(s99, s25)) | (~always3(s99)) | always3(s25)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(6098,plain,
% 1.38/1.59 ((~trans(s99, s25)) | always3(s25)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6097, 5932])).
% 1.38/1.59 tff(6099,plain,
% 1.38/1.59 (~trans(s99, s25)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6098, 319])).
% 1.38/1.59 tff(6100,assumption,(~always3(s22)), introduced(assumption)).
% 1.38/1.59 tff(6101,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s22) | (~trans(s99, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s22) | (~trans(s99, s22)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6102,plain,
% 1.38/1.59 (((~trans(s99, s22)) | (~always3(s99)) | always3(s22)) <=> ((~always3(s99)) | always3(s22) | (~trans(s99, s22)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6103,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s22)) | (~always3(s99)) | always3(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s22) | (~trans(s99, s22))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[6102])).
% 1.38/1.59 tff(6104,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s22)) | (~always3(s99)) | always3(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s22) | (~trans(s99, s22)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[6103, 6101])).
% 1.38/1.59 tff(6105,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s22)) | (~always3(s99)) | always3(s22))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6106,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s22) | (~trans(s99, s22))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[6105, 6104])).
% 1.38/1.59 tff(6107,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6106, 4792, 50, 5934, 6100])).
% 1.38/1.59 tff(6108,plain,((~trans(s99, s22)) | (~always3(s99)) | always3(s22)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(6109,plain,
% 1.38/1.59 ((~trans(s99, s22)) | always3(s22)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6108, 5932])).
% 1.38/1.59 tff(6110,plain,
% 1.38/1.59 (~trans(s99, s22)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6109, 355])).
% 1.38/1.59 tff(6111,assumption,(~always3(s28)), introduced(assumption)).
% 1.38/1.59 tff(6112,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s28) | (~trans(s99, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s28) | (~trans(s99, s28)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6113,plain,
% 1.38/1.59 (((~trans(s99, s28)) | (~always3(s99)) | always3(s28)) <=> ((~always3(s99)) | always3(s28) | (~trans(s99, s28)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6114,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s28)) | (~always3(s99)) | always3(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s28) | (~trans(s99, s28))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[6113])).
% 1.38/1.59 tff(6115,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s28)) | (~always3(s99)) | always3(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s28) | (~trans(s99, s28)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[6114, 6112])).
% 1.38/1.59 tff(6116,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s28)) | (~always3(s99)) | always3(s28))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6117,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s28) | (~trans(s99, s28))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[6116, 6115])).
% 1.38/1.59 tff(6118,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6117, 4803, 50, 5934, 6111])).
% 1.38/1.59 tff(6119,plain,((~trans(s99, s28)) | (~always3(s99)) | always3(s28)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(6120,plain,
% 1.38/1.59 ((~trans(s99, s28)) | always3(s28)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6119, 5932])).
% 1.38/1.59 tff(6121,plain,
% 1.38/1.59 (~trans(s99, s28)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6120, 283])).
% 1.38/1.59 tff(6122,assumption,(~always3(s9)), introduced(assumption)).
% 1.38/1.59 tff(6123,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s9) | (~trans(s99, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s9) | (~trans(s99, s9)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6124,plain,
% 1.38/1.59 (((~trans(s99, s9)) | (~always3(s99)) | always3(s9)) <=> ((~always3(s99)) | always3(s9) | (~trans(s99, s9)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6125,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s9)) | (~always3(s99)) | always3(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s9) | (~trans(s99, s9))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[6124])).
% 1.38/1.59 tff(6126,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s9)) | (~always3(s99)) | always3(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s9) | (~trans(s99, s9)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[6125, 6123])).
% 1.38/1.59 tff(6127,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s9)) | (~always3(s99)) | always3(s9))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6128,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s9) | (~trans(s99, s9))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[6127, 6126])).
% 1.38/1.59 tff(6129,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6128, 4554, 50, 5934, 6122])).
% 1.38/1.59 tff(6130,plain,((~trans(s99, s9)) | (~always3(s99)) | always3(s9)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(6131,plain,
% 1.38/1.59 ((~trans(s99, s9)) | always3(s9)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6130, 5932])).
% 1.38/1.59 tff(6132,plain,
% 1.38/1.59 (~trans(s99, s9)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6131, 6015])).
% 1.38/1.59 tff(6133,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s34) | (~trans(s99, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s34) | (~trans(s99, s34)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6134,plain,
% 1.38/1.59 (((~trans(s99, s34)) | (~always3(s99)) | always3(s34)) <=> ((~always3(s99)) | always3(s34) | (~trans(s99, s34)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6135,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s34)) | (~always3(s99)) | always3(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s34) | (~trans(s99, s34))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[6134])).
% 1.38/1.59 tff(6136,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s34)) | (~always3(s99)) | always3(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s34) | (~trans(s99, s34)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[6135, 6133])).
% 1.38/1.59 tff(6137,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s34)) | (~always3(s99)) | always3(s34))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6138,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s34) | (~trans(s99, s34))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[6137, 6136])).
% 1.38/1.59 tff(6139,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6138, 4825, 50, 5934, 1623])).
% 1.38/1.59 tff(6140,plain,((~trans(s99, s34)) | (~always3(s99)) | always3(s34)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(6141,plain,
% 1.38/1.59 ((~trans(s99, s34)) | always3(s34)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6140, 5932])).
% 1.38/1.59 tff(6142,plain,
% 1.38/1.59 (~trans(s99, s34)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6141, 211])).
% 1.38/1.59 tff(6143,assumption,(~always3(s11)), introduced(assumption)).
% 1.38/1.59 tff(6144,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s11) | (~trans(s99, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s11) | (~trans(s99, s11)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6145,plain,
% 1.38/1.59 (((~trans(s99, s11)) | (~always3(s99)) | always3(s11)) <=> ((~always3(s99)) | always3(s11) | (~trans(s99, s11)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6146,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s11)) | (~always3(s99)) | always3(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s11) | (~trans(s99, s11))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[6145])).
% 1.38/1.59 tff(6147,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s11)) | (~always3(s99)) | always3(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s11) | (~trans(s99, s11)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[6146, 6144])).
% 1.38/1.59 tff(6148,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s11)) | (~always3(s99)) | always3(s11))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6149,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s11) | (~trans(s99, s11))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[6148, 6147])).
% 1.38/1.59 tff(6150,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6149, 4847, 50, 5934, 6143])).
% 1.38/1.59 tff(6151,plain,((~trans(s99, s11)) | (~always3(s99)) | always3(s11)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(6152,plain,
% 1.38/1.59 ((~trans(s99, s11)) | always3(s11)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6151, 5932])).
% 1.38/1.59 tff(6153,plain,
% 1.38/1.59 (~trans(s99, s11)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6152, 6013])).
% 1.38/1.59 tff(6154,assumption,(~always3(s5)), introduced(assumption)).
% 1.38/1.59 tff(6155,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s5) | (~trans(s99, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s5) | (~trans(s99, s5)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6156,plain,
% 1.38/1.59 (((~trans(s99, s5)) | (~always3(s99)) | always3(s5)) <=> ((~always3(s99)) | always3(s5) | (~trans(s99, s5)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6157,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s5)) | (~always3(s99)) | always3(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s5) | (~trans(s99, s5))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[6156])).
% 1.38/1.59 tff(6158,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s5)) | (~always3(s99)) | always3(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s5) | (~trans(s99, s5)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[6157, 6155])).
% 1.38/1.59 tff(6159,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s5)) | (~always3(s99)) | always3(s5))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6160,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s5) | (~trans(s99, s5))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[6159, 6158])).
% 1.38/1.59 tff(6161,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6160, 4858, 50, 5934, 6154])).
% 1.38/1.59 tff(6162,plain,((~trans(s99, s5)) | (~always3(s99)) | always3(s5)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(6163,plain,
% 1.38/1.59 ((~trans(s99, s5)) | always3(s5)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6162, 5932])).
% 1.38/1.59 tff(6164,plain,
% 1.38/1.59 (~trans(s99, s5)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6163, 6019])).
% 1.38/1.59 tff(6165,assumption,(~always3(s20)), introduced(assumption)).
% 1.38/1.59 tff(6166,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s20) | (~trans(s99, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s20) | (~trans(s99, s20)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6167,plain,
% 1.38/1.59 (((~trans(s99, s20)) | (~always3(s99)) | always3(s20)) <=> ((~always3(s99)) | always3(s20) | (~trans(s99, s20)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6168,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s20)) | (~always3(s99)) | always3(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s20) | (~trans(s99, s20))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[6167])).
% 1.38/1.59 tff(6169,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s20)) | (~always3(s99)) | always3(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s20) | (~trans(s99, s20)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[6168, 6166])).
% 1.38/1.59 tff(6170,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s20)) | (~always3(s99)) | always3(s20))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6171,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s20) | (~trans(s99, s20))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[6170, 6169])).
% 1.38/1.59 tff(6172,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6171, 4869, 50, 5934, 6165])).
% 1.38/1.59 tff(6173,plain,((~trans(s99, s20)) | (~always3(s99)) | always3(s20)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(6174,plain,
% 1.38/1.59 ((~trans(s99, s20)) | always3(s20)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6173, 5932])).
% 1.38/1.59 tff(6175,plain,
% 1.38/1.59 (~trans(s99, s20)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6174, 379])).
% 1.38/1.59 tff(6176,assumption,(~always3(s36)), introduced(assumption)).
% 1.38/1.59 tff(6177,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s36) | (~trans(s99, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s36) | (~trans(s99, s36)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6178,plain,
% 1.38/1.59 (((~trans(s99, s36)) | (~always3(s99)) | always3(s36)) <=> ((~always3(s99)) | always3(s36) | (~trans(s99, s36)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6179,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s36)) | (~always3(s99)) | always3(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s36) | (~trans(s99, s36))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[6178])).
% 1.38/1.59 tff(6180,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s36)) | (~always3(s99)) | always3(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s36) | (~trans(s99, s36)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[6179, 6177])).
% 1.38/1.59 tff(6181,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s36)) | (~always3(s99)) | always3(s36))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6182,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s36) | (~trans(s99, s36))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[6181, 6180])).
% 1.38/1.59 tff(6183,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6182, 4913, 50, 5934, 6176])).
% 1.38/1.59 tff(6184,plain,((~trans(s99, s36)) | (~always3(s99)) | always3(s36)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(6185,plain,
% 1.38/1.59 ((~trans(s99, s36)) | always3(s36)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6184, 5932])).
% 1.38/1.59 tff(6186,plain,
% 1.38/1.59 (~trans(s99, s36)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6185, 187])).
% 1.38/1.59 tff(6187,assumption,(~always3(s43)), introduced(assumption)).
% 1.38/1.59 tff(6188,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s43) | (~trans(s99, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s43) | (~trans(s99, s43)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6189,plain,
% 1.38/1.59 (((~trans(s99, s43)) | (~always3(s99)) | always3(s43)) <=> ((~always3(s99)) | always3(s43) | (~trans(s99, s43)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6190,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s43)) | (~always3(s99)) | always3(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s43) | (~trans(s99, s43))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[6189])).
% 1.38/1.59 tff(6191,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s43)) | (~always3(s99)) | always3(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s43) | (~trans(s99, s43)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[6190, 6188])).
% 1.38/1.59 tff(6192,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s43)) | (~always3(s99)) | always3(s43))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6193,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s43) | (~trans(s99, s43))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[6192, 6191])).
% 1.38/1.59 tff(6194,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6193, 4946, 50, 5934, 6187])).
% 1.38/1.59 tff(6195,plain,((~trans(s99, s43)) | (~always3(s99)) | always3(s43)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(6196,plain,
% 1.38/1.59 ((~trans(s99, s43)) | always3(s43)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6195, 5932])).
% 1.38/1.59 tff(6197,plain,
% 1.38/1.59 (~trans(s99, s43)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6196, 103])).
% 1.38/1.59 tff(6198,assumption,(~always3(s10)), introduced(assumption)).
% 1.38/1.59 tff(6199,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s10) | (~trans(s99, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s10) | (~trans(s99, s10)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6200,plain,
% 1.38/1.59 (((~trans(s99, s10)) | (~always3(s99)) | always3(s10)) <=> ((~always3(s99)) | always3(s10) | (~trans(s99, s10)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6201,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s10)) | (~always3(s99)) | always3(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s10) | (~trans(s99, s10))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[6200])).
% 1.38/1.59 tff(6202,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s10)) | (~always3(s99)) | always3(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s10) | (~trans(s99, s10)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[6201, 6199])).
% 1.38/1.59 tff(6203,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s10)) | (~always3(s99)) | always3(s10))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6204,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s10) | (~trans(s99, s10))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[6203, 6202])).
% 1.38/1.59 tff(6205,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6204, 4957, 50, 5934, 6198])).
% 1.38/1.59 tff(6206,plain,((~trans(s99, s10)) | (~always3(s99)) | always3(s10)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(6207,plain,
% 1.38/1.59 ((~trans(s99, s10)) | always3(s10)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6206, 5932])).
% 1.38/1.59 tff(6208,plain,
% 1.38/1.59 (~trans(s99, s10)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6207, 6014])).
% 1.38/1.59 tff(6209,assumption,(~always3(s12)), introduced(assumption)).
% 1.38/1.59 tff(6210,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s12) | (~trans(s99, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s12) | (~trans(s99, s12)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6211,plain,
% 1.38/1.59 (((~trans(s99, s12)) | (~always3(s99)) | always3(s12)) <=> ((~always3(s99)) | always3(s12) | (~trans(s99, s12)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6212,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s12)) | (~always3(s99)) | always3(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s12) | (~trans(s99, s12))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[6211])).
% 1.38/1.59 tff(6213,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s12)) | (~always3(s99)) | always3(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s12) | (~trans(s99, s12)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[6212, 6210])).
% 1.38/1.59 tff(6214,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s12)) | (~always3(s99)) | always3(s12))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6215,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s12) | (~trans(s99, s12))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[6214, 6213])).
% 1.38/1.59 tff(6216,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6215, 5012, 50, 5934, 6209])).
% 1.38/1.59 tff(6217,plain,((~trans(s99, s12)) | (~always3(s99)) | always3(s12)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(6218,plain,
% 1.38/1.59 ((~trans(s99, s12)) | always3(s12)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6217, 5932])).
% 1.38/1.59 tff(6219,plain,
% 1.38/1.59 (~trans(s99, s12)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6218, 6012])).
% 1.38/1.59 tff(6220,assumption,(~always3(s18)), introduced(assumption)).
% 1.38/1.59 tff(6221,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s18) | (~trans(s99, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s18) | (~trans(s99, s18)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6222,plain,
% 1.38/1.59 (((~trans(s99, s18)) | (~always3(s99)) | always3(s18)) <=> ((~always3(s99)) | always3(s18) | (~trans(s99, s18)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6223,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s18)) | (~always3(s99)) | always3(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s18) | (~trans(s99, s18))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[6222])).
% 1.38/1.59 tff(6224,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s18)) | (~always3(s99)) | always3(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s18) | (~trans(s99, s18)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[6223, 6221])).
% 1.38/1.59 tff(6225,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s18)) | (~always3(s99)) | always3(s18))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6226,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s18) | (~trans(s99, s18))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[6225, 6224])).
% 1.38/1.59 tff(6227,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6226, 5045, 50, 5934, 6220])).
% 1.38/1.59 tff(6228,plain,((~trans(s99, s18)) | (~always3(s99)) | always3(s18)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(6229,plain,
% 1.38/1.59 ((~trans(s99, s18)) | always3(s18)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6228, 5932])).
% 1.38/1.59 tff(6230,plain,
% 1.38/1.59 (~trans(s99, s18)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6229, 403])).
% 1.38/1.59 tff(6231,assumption,(~always3(s45)), introduced(assumption)).
% 1.38/1.59 tff(6232,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s45) | (~trans(s99, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s45) | (~trans(s99, s45)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6233,plain,
% 1.38/1.59 (((~trans(s99, s45)) | (~always3(s99)) | always3(s45)) <=> ((~always3(s99)) | always3(s45) | (~trans(s99, s45)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6234,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s45)) | (~always3(s99)) | always3(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s45) | (~trans(s99, s45))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[6233])).
% 1.38/1.59 tff(6235,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s45)) | (~always3(s99)) | always3(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s45) | (~trans(s99, s45)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[6234, 6232])).
% 1.38/1.59 tff(6236,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s45)) | (~always3(s99)) | always3(s45))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6237,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s45) | (~trans(s99, s45))),
% 1.38/1.59 inference(modus_ponens,[status(thm)],[6236, 6235])).
% 1.38/1.59 tff(6238,plain,
% 1.38/1.59 ($false),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6237, 5056, 50, 5934, 6231])).
% 1.38/1.59 tff(6239,plain,((~trans(s99, s45)) | (~always3(s99)) | always3(s45)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.59 tff(6240,plain,
% 1.38/1.59 ((~trans(s99, s45)) | always3(s45)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6239, 5932])).
% 1.38/1.59 tff(6241,plain,
% 1.38/1.59 (~trans(s99, s45)),
% 1.38/1.59 inference(unit_resolution,[status(thm)],[6240, 79])).
% 1.38/1.59 tff(6242,assumption,(~always3(s26)), introduced(assumption)).
% 1.38/1.59 tff(6243,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s26) | (~trans(s99, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s26) | (~trans(s99, s26)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6244,plain,
% 1.38/1.59 (((~trans(s99, s26)) | (~always3(s99)) | always3(s26)) <=> ((~always3(s99)) | always3(s26) | (~trans(s99, s26)))),
% 1.38/1.59 inference(rewrite,[status(thm)],[])).
% 1.38/1.59 tff(6245,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s26)) | (~always3(s99)) | always3(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s26) | (~trans(s99, s26))))),
% 1.38/1.59 inference(monotonicity,[status(thm)],[6244])).
% 1.38/1.59 tff(6246,plain,
% 1.38/1.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s26)) | (~always3(s99)) | always3(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s26) | (~trans(s99, s26)))),
% 1.38/1.59 inference(transitivity,[status(thm)],[6245, 6243])).
% 1.38/1.59 tff(6247,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s26)) | (~always3(s99)) | always3(s26))),
% 1.38/1.59 inference(quant_inst,[status(thm)],[])).
% 1.38/1.59 tff(6248,plain,
% 1.38/1.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s26) | (~trans(s99, s26))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[6247, 6246])).
% 1.38/1.60 tff(6249,plain,
% 1.38/1.60 ($false),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6248, 5078, 50, 5934, 6242])).
% 1.38/1.60 tff(6250,plain,((~trans(s99, s26)) | (~always3(s99)) | always3(s26)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.60 tff(6251,plain,
% 1.38/1.60 ((~trans(s99, s26)) | always3(s26)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6250, 5932])).
% 1.38/1.60 tff(6252,plain,
% 1.38/1.60 (~trans(s99, s26)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6251, 307])).
% 1.38/1.60 tff(6253,assumption,(~always3(s14)), introduced(assumption)).
% 1.38/1.60 tff(6254,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s14) | (~trans(s99, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s14) | (~trans(s99, s14)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6255,plain,
% 1.38/1.60 (((~trans(s99, s14)) | (~always3(s99)) | always3(s14)) <=> ((~always3(s99)) | always3(s14) | (~trans(s99, s14)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6256,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s14)) | (~always3(s99)) | always3(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s14) | (~trans(s99, s14))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[6255])).
% 1.38/1.60 tff(6257,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s14)) | (~always3(s99)) | always3(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s14) | (~trans(s99, s14)))),
% 1.38/1.60 inference(transitivity,[status(thm)],[6256, 6254])).
% 1.38/1.60 tff(6258,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s14)) | (~always3(s99)) | always3(s14))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(6259,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s14) | (~trans(s99, s14))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[6258, 6257])).
% 1.38/1.60 tff(6260,plain,
% 1.38/1.60 ($false),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6259, 5289, 50, 5934, 6253])).
% 1.38/1.60 tff(6261,plain,((~trans(s99, s14)) | (~always3(s99)) | always3(s14)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.60 tff(6262,plain,
% 1.38/1.60 ((~trans(s99, s14)) | always3(s14)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6261, 5932])).
% 1.38/1.60 tff(6263,plain,
% 1.38/1.60 (~trans(s99, s14)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6262, 6010])).
% 1.38/1.60 tff(6264,assumption,(~always3(s8)), introduced(assumption)).
% 1.38/1.60 tff(6265,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s8) | (~trans(s99, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s8) | (~trans(s99, s8)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6266,plain,
% 1.38/1.60 (((~trans(s99, s8)) | (~always3(s99)) | always3(s8)) <=> ((~always3(s99)) | always3(s8) | (~trans(s99, s8)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6267,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s8)) | (~always3(s99)) | always3(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s8) | (~trans(s99, s8))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[6266])).
% 1.38/1.60 tff(6268,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s8)) | (~always3(s99)) | always3(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s8) | (~trans(s99, s8)))),
% 1.38/1.60 inference(transitivity,[status(thm)],[6267, 6265])).
% 1.38/1.60 tff(6269,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s8)) | (~always3(s99)) | always3(s8))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(6270,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s8) | (~trans(s99, s8))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[6269, 6268])).
% 1.38/1.60 tff(6271,plain,
% 1.38/1.60 ($false),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6270, 5100, 50, 5934, 6264])).
% 1.38/1.60 tff(6272,plain,((~trans(s99, s8)) | (~always3(s99)) | always3(s8)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.60 tff(6273,plain,
% 1.38/1.60 ((~trans(s99, s8)) | always3(s8)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6272, 5932])).
% 1.38/1.60 tff(6274,plain,
% 1.38/1.60 (~trans(s99, s8)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6273, 6016])).
% 1.38/1.60 tff(6275,assumption,(~always3(s35)), introduced(assumption)).
% 1.38/1.60 tff(6276,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s35) | (~trans(s99, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s35) | (~trans(s99, s35)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6277,plain,
% 1.38/1.60 (((~trans(s99, s35)) | (~always3(s99)) | always3(s35)) <=> ((~always3(s99)) | always3(s35) | (~trans(s99, s35)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6278,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s35)) | (~always3(s99)) | always3(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s35) | (~trans(s99, s35))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[6277])).
% 1.38/1.60 tff(6279,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s35)) | (~always3(s99)) | always3(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s35) | (~trans(s99, s35)))),
% 1.38/1.60 inference(transitivity,[status(thm)],[6278, 6276])).
% 1.38/1.60 tff(6280,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s35)) | (~always3(s99)) | always3(s35))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(6281,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s35) | (~trans(s99, s35))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[6280, 6279])).
% 1.38/1.60 tff(6282,plain,
% 1.38/1.60 ($false),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6281, 5133, 50, 5934, 6275])).
% 1.38/1.60 tff(6283,plain,((~trans(s99, s35)) | (~always3(s99)) | always3(s35)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.60 tff(6284,plain,
% 1.38/1.60 ((~trans(s99, s35)) | always3(s35)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6283, 5932])).
% 1.38/1.60 tff(6285,plain,
% 1.38/1.60 (~trans(s99, s35)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6284, 199])).
% 1.38/1.60 tff(6286,assumption,(~always3(s30)), introduced(assumption)).
% 1.38/1.60 tff(6287,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s30) | (~trans(s99, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s30) | (~trans(s99, s30)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6288,plain,
% 1.38/1.60 (((~trans(s99, s30)) | (~always3(s99)) | always3(s30)) <=> ((~always3(s99)) | always3(s30) | (~trans(s99, s30)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6289,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s30)) | (~always3(s99)) | always3(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s30) | (~trans(s99, s30))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[6288])).
% 1.38/1.60 tff(6290,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s30)) | (~always3(s99)) | always3(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s30) | (~trans(s99, s30)))),
% 1.38/1.60 inference(transitivity,[status(thm)],[6289, 6287])).
% 1.38/1.60 tff(6291,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s30)) | (~always3(s99)) | always3(s30))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(6292,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s30) | (~trans(s99, s30))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[6291, 6290])).
% 1.38/1.60 tff(6293,plain,
% 1.38/1.60 ($false),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6292, 5144, 50, 5934, 6286])).
% 1.38/1.60 tff(6294,plain,((~trans(s99, s30)) | (~always3(s99)) | always3(s30)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.60 tff(6295,plain,
% 1.38/1.60 ((~trans(s99, s30)) | always3(s30)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6294, 5932])).
% 1.38/1.60 tff(6296,plain,
% 1.38/1.60 (~trans(s99, s30)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6295, 259])).
% 1.38/1.60 tff(6297,plain,
% 1.38/1.60 (~always3(s1)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[2098, 6022])).
% 1.38/1.60 tff(6298,plain,
% 1.38/1.60 (~always3(s0)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[2114, 6297])).
% 1.38/1.60 tff(6299,assumption,(~always3(s0)), introduced(assumption)).
% 1.38/1.60 tff(6300,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s0) | (~trans(s99, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s0) | (~trans(s99, s0)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6301,plain,
% 1.38/1.60 (((~trans(s99, s0)) | (~always3(s99)) | always3(s0)) <=> ((~always3(s99)) | always3(s0) | (~trans(s99, s0)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6302,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s0)) | (~always3(s99)) | always3(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s0) | (~trans(s99, s0))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[6301])).
% 1.38/1.60 tff(6303,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s0)) | (~always3(s99)) | always3(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s0) | (~trans(s99, s0)))),
% 1.38/1.60 inference(transitivity,[status(thm)],[6302, 6300])).
% 1.38/1.60 tff(6304,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s0)) | (~always3(s99)) | always3(s0))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(6305,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s0) | (~trans(s99, s0))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[6304, 6303])).
% 1.38/1.60 tff(6306,plain,
% 1.38/1.60 ($false),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6305, 5179, 50, 5934, 6299])).
% 1.38/1.60 tff(6307,plain,((~trans(s99, s0)) | (~always3(s99)) | always3(s0)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.60 tff(6308,plain,
% 1.38/1.60 ((~trans(s99, s0)) | always3(s0)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6307, 5932])).
% 1.38/1.60 tff(6309,plain,
% 1.38/1.60 (~trans(s99, s0)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6308, 6298])).
% 1.38/1.60 tff(6310,assumption,(~always3(s3)), introduced(assumption)).
% 1.38/1.60 tff(6311,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s3) | (~trans(s99, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s3) | (~trans(s99, s3)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6312,plain,
% 1.38/1.60 (((~trans(s99, s3)) | (~always3(s99)) | always3(s3)) <=> ((~always3(s99)) | always3(s3) | (~trans(s99, s3)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6313,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s3)) | (~always3(s99)) | always3(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s3) | (~trans(s99, s3))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[6312])).
% 1.38/1.60 tff(6314,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s3)) | (~always3(s99)) | always3(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s3) | (~trans(s99, s3)))),
% 1.38/1.60 inference(transitivity,[status(thm)],[6313, 6311])).
% 1.38/1.60 tff(6315,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s3)) | (~always3(s99)) | always3(s3))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(6316,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s3) | (~trans(s99, s3))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[6315, 6314])).
% 1.38/1.60 tff(6317,plain,
% 1.38/1.60 ($false),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6316, 5190, 50, 5934, 6310])).
% 1.38/1.60 tff(6318,plain,((~trans(s99, s3)) | (~always3(s99)) | always3(s3)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.60 tff(6319,plain,
% 1.38/1.60 ((~trans(s99, s3)) | always3(s3)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6318, 5932])).
% 1.38/1.60 tff(6320,plain,
% 1.38/1.60 (~trans(s99, s3)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6319, 6021])).
% 1.38/1.60 tff(6321,assumption,(~always3(s23)), introduced(assumption)).
% 1.38/1.60 tff(6322,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s23) | (~trans(s99, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s23) | (~trans(s99, s23)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6323,plain,
% 1.38/1.60 (((~trans(s99, s23)) | (~always3(s99)) | always3(s23)) <=> ((~always3(s99)) | always3(s23) | (~trans(s99, s23)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6324,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s23)) | (~always3(s99)) | always3(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s23) | (~trans(s99, s23))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[6323])).
% 1.38/1.60 tff(6325,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s23)) | (~always3(s99)) | always3(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s23) | (~trans(s99, s23)))),
% 1.38/1.60 inference(transitivity,[status(thm)],[6324, 6322])).
% 1.38/1.60 tff(6326,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s23)) | (~always3(s99)) | always3(s23))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(6327,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s23) | (~trans(s99, s23))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[6326, 6325])).
% 1.38/1.60 tff(6328,plain,
% 1.38/1.60 ($false),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6327, 5201, 50, 5934, 6321])).
% 1.38/1.60 tff(6329,plain,((~trans(s99, s23)) | (~always3(s99)) | always3(s23)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.60 tff(6330,plain,
% 1.38/1.60 ((~trans(s99, s23)) | always3(s23)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6329, 5932])).
% 1.38/1.60 tff(6331,plain,
% 1.38/1.60 (~trans(s99, s23)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6330, 343])).
% 1.38/1.60 tff(6332,assumption,(~always3(s27)), introduced(assumption)).
% 1.38/1.60 tff(6333,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s27) | (~trans(s99, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s27) | (~trans(s99, s27)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6334,plain,
% 1.38/1.60 (((~trans(s99, s27)) | (~always3(s99)) | always3(s27)) <=> ((~always3(s99)) | always3(s27) | (~trans(s99, s27)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6335,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s27)) | (~always3(s99)) | always3(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s27) | (~trans(s99, s27))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[6334])).
% 1.38/1.60 tff(6336,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s27)) | (~always3(s99)) | always3(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s27) | (~trans(s99, s27)))),
% 1.38/1.60 inference(transitivity,[status(thm)],[6335, 6333])).
% 1.38/1.60 tff(6337,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s27)) | (~always3(s99)) | always3(s27))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(6338,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s27) | (~trans(s99, s27))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[6337, 6336])).
% 1.38/1.60 tff(6339,plain,
% 1.38/1.60 ($false),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6338, 5234, 50, 5934, 6332])).
% 1.38/1.60 tff(6340,plain,((~trans(s99, s27)) | (~always3(s99)) | always3(s27)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.60 tff(6341,plain,
% 1.38/1.60 ((~trans(s99, s27)) | always3(s27)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6340, 5932])).
% 1.38/1.60 tff(6342,plain,
% 1.38/1.60 (~trans(s99, s27)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6341, 295])).
% 1.38/1.60 tff(6343,assumption,(~always3(s24)), introduced(assumption)).
% 1.38/1.60 tff(6344,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s24) | (~trans(s99, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s24) | (~trans(s99, s24)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6345,plain,
% 1.38/1.60 (((~trans(s99, s24)) | (~always3(s99)) | always3(s24)) <=> ((~always3(s99)) | always3(s24) | (~trans(s99, s24)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6346,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s24)) | (~always3(s99)) | always3(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s24) | (~trans(s99, s24))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[6345])).
% 1.38/1.60 tff(6347,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s24)) | (~always3(s99)) | always3(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s24) | (~trans(s99, s24)))),
% 1.38/1.60 inference(transitivity,[status(thm)],[6346, 6344])).
% 1.38/1.60 tff(6348,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s24)) | (~always3(s99)) | always3(s24))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(6349,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s24) | (~trans(s99, s24))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 1.38/1.60 tff(6350,plain,
% 1.38/1.60 ($false),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6349, 5245, 50, 5934, 6343])).
% 1.38/1.60 tff(6351,plain,((~trans(s99, s24)) | (~always3(s99)) | always3(s24)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.60 tff(6352,plain,
% 1.38/1.60 ((~trans(s99, s24)) | always3(s24)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6351, 5932])).
% 1.38/1.60 tff(6353,plain,
% 1.38/1.60 (~trans(s99, s24)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6352, 331])).
% 1.38/1.60 tff(6354,assumption,(~always3(s32)), introduced(assumption)).
% 1.38/1.60 tff(6355,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s32) | (~trans(s99, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s32) | (~trans(s99, s32)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6356,plain,
% 1.38/1.60 (((~trans(s99, s32)) | (~always3(s99)) | always3(s32)) <=> ((~always3(s99)) | always3(s32) | (~trans(s99, s32)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6357,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s32)) | (~always3(s99)) | always3(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s32) | (~trans(s99, s32))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[6356])).
% 1.38/1.60 tff(6358,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s32)) | (~always3(s99)) | always3(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s32) | (~trans(s99, s32)))),
% 1.38/1.60 inference(transitivity,[status(thm)],[6357, 6355])).
% 1.38/1.60 tff(6359,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s32)) | (~always3(s99)) | always3(s32))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(6360,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s32) | (~trans(s99, s32))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[6359, 6358])).
% 1.38/1.60 tff(6361,plain,
% 1.38/1.60 ($false),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6360, 5278, 50, 5934, 6354])).
% 1.38/1.60 tff(6362,plain,((~trans(s99, s32)) | (~always3(s99)) | always3(s32)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.60 tff(6363,plain,
% 1.38/1.60 ((~trans(s99, s32)) | always3(s32)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6362, 5932])).
% 1.38/1.60 tff(6364,plain,
% 1.38/1.60 (~trans(s99, s32)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6363, 235])).
% 1.38/1.60 tff(6365,assumption,(~always3(s16)), introduced(assumption)).
% 1.38/1.60 tff(6366,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s16) | (~trans(s99, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s16) | (~trans(s99, s16)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6367,plain,
% 1.38/1.60 (((~trans(s99, s16)) | (~always3(s99)) | always3(s16)) <=> ((~always3(s99)) | always3(s16) | (~trans(s99, s16)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6368,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s16)) | (~always3(s99)) | always3(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s16) | (~trans(s99, s16))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[6367])).
% 1.38/1.60 tff(6369,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s16)) | (~always3(s99)) | always3(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s16) | (~trans(s99, s16)))),
% 1.38/1.60 inference(transitivity,[status(thm)],[6368, 6366])).
% 1.38/1.60 tff(6370,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s16)) | (~always3(s99)) | always3(s16))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(6371,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s16) | (~trans(s99, s16))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[6370, 6369])).
% 1.38/1.60 tff(6372,plain,
% 1.38/1.60 ($false),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6371, 5399, 50, 5934, 6365])).
% 1.38/1.60 tff(6373,plain,((~trans(s99, s16)) | (~always3(s99)) | always3(s16)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.60 tff(6374,plain,
% 1.38/1.60 ((~trans(s99, s16)) | always3(s16)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6373, 5932])).
% 1.38/1.60 tff(6375,plain,
% 1.38/1.60 (~trans(s99, s16)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6374, 427])).
% 1.38/1.60 tff(6376,assumption,(~always3(s17)), introduced(assumption)).
% 1.38/1.60 tff(6377,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s17) | (~trans(s99, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s17) | (~trans(s99, s17)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6378,plain,
% 1.38/1.60 (((~trans(s99, s17)) | (~always3(s99)) | always3(s17)) <=> ((~always3(s99)) | always3(s17) | (~trans(s99, s17)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6379,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s17)) | (~always3(s99)) | always3(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s17) | (~trans(s99, s17))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[6378])).
% 1.38/1.60 tff(6380,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s17)) | (~always3(s99)) | always3(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s17) | (~trans(s99, s17)))),
% 1.38/1.60 inference(transitivity,[status(thm)],[6379, 6377])).
% 1.38/1.60 tff(6381,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s17)) | (~always3(s99)) | always3(s17))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(6382,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s17) | (~trans(s99, s17))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[6381, 6380])).
% 1.38/1.60 tff(6383,plain,
% 1.38/1.60 ($false),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6382, 5311, 50, 5934, 6376])).
% 1.38/1.60 tff(6384,plain,((~trans(s99, s17)) | (~always3(s99)) | always3(s17)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.60 tff(6385,plain,
% 1.38/1.60 ((~trans(s99, s17)) | always3(s17)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6384, 5932])).
% 1.38/1.60 tff(6386,plain,
% 1.38/1.60 (~trans(s99, s17)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6385, 415])).
% 1.38/1.60 tff(6387,assumption,(~always3(s7)), introduced(assumption)).
% 1.38/1.60 tff(6388,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s7) | (~trans(s99, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s7) | (~trans(s99, s7)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6389,plain,
% 1.38/1.60 (((~trans(s99, s7)) | (~always3(s99)) | always3(s7)) <=> ((~always3(s99)) | always3(s7) | (~trans(s99, s7)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6390,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s7)) | (~always3(s99)) | always3(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s7) | (~trans(s99, s7))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[6389])).
% 1.38/1.60 tff(6391,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s7)) | (~always3(s99)) | always3(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s7) | (~trans(s99, s7)))),
% 1.38/1.60 inference(transitivity,[status(thm)],[6390, 6388])).
% 1.38/1.60 tff(6392,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s7)) | (~always3(s99)) | always3(s7))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(6393,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s7) | (~trans(s99, s7))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[6392, 6391])).
% 1.38/1.60 tff(6394,plain,
% 1.38/1.60 ($false),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6393, 5333, 50, 5934, 6387])).
% 1.38/1.60 tff(6395,plain,((~trans(s99, s7)) | (~always3(s99)) | always3(s7)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.60 tff(6396,plain,
% 1.38/1.60 ((~trans(s99, s7)) | always3(s7)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6395, 5932])).
% 1.38/1.60 tff(6397,plain,
% 1.38/1.60 (~trans(s99, s7)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6396, 6017])).
% 1.38/1.60 tff(6398,assumption,(~always3(s1)), introduced(assumption)).
% 1.38/1.60 tff(6399,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s1) | (~trans(s99, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s1) | (~trans(s99, s1)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6400,plain,
% 1.38/1.60 (((~trans(s99, s1)) | (~always3(s99)) | always3(s1)) <=> ((~always3(s99)) | always3(s1) | (~trans(s99, s1)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6401,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s1)) | (~always3(s99)) | always3(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s1) | (~trans(s99, s1))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[6400])).
% 1.38/1.60 tff(6402,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s1)) | (~always3(s99)) | always3(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s1) | (~trans(s99, s1)))),
% 1.38/1.60 inference(transitivity,[status(thm)],[6401, 6399])).
% 1.38/1.60 tff(6403,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s1)) | (~always3(s99)) | always3(s1))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(6404,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s1) | (~trans(s99, s1))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[6403, 6402])).
% 1.38/1.60 tff(6405,plain,
% 1.38/1.60 ($false),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6404, 5355, 50, 5934, 6398])).
% 1.38/1.60 tff(6406,plain,((~trans(s99, s1)) | (~always3(s99)) | always3(s1)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.60 tff(6407,plain,
% 1.38/1.60 ((~trans(s99, s1)) | always3(s1)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6406, 5932])).
% 1.38/1.60 tff(6408,plain,
% 1.38/1.60 (~trans(s99, s1)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6407, 6297])).
% 1.38/1.60 tff(6409,assumption,(~always3(s29)), introduced(assumption)).
% 1.38/1.60 tff(6410,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s29) | (~trans(s99, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s29) | (~trans(s99, s29)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6411,plain,
% 1.38/1.60 (((~trans(s99, s29)) | (~always3(s99)) | always3(s29)) <=> ((~always3(s99)) | always3(s29) | (~trans(s99, s29)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6412,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s29)) | (~always3(s99)) | always3(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s29) | (~trans(s99, s29))))),
% 1.38/1.60 inference(monotonicity,[status(thm)],[6411])).
% 1.38/1.60 tff(6413,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s29)) | (~always3(s99)) | always3(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s29) | (~trans(s99, s29)))),
% 1.38/1.60 inference(transitivity,[status(thm)],[6412, 6410])).
% 1.38/1.60 tff(6414,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s29)) | (~always3(s99)) | always3(s29))),
% 1.38/1.60 inference(quant_inst,[status(thm)],[])).
% 1.38/1.60 tff(6415,plain,
% 1.38/1.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s29) | (~trans(s99, s29))),
% 1.38/1.60 inference(modus_ponens,[status(thm)],[6414, 6413])).
% 1.38/1.60 tff(6416,plain,
% 1.38/1.60 ($false),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6415, 5377, 50, 5934, 6409])).
% 1.38/1.60 tff(6417,plain,((~trans(s99, s29)) | (~always3(s99)) | always3(s29)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.60 tff(6418,plain,
% 1.38/1.60 ((~trans(s99, s29)) | always3(s29)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6417, 5932])).
% 1.38/1.60 tff(6419,plain,
% 1.38/1.60 (~trans(s99, s29)),
% 1.38/1.60 inference(unit_resolution,[status(thm)],[6418, 271])).
% 1.38/1.60 tff(6420,assumption,(~always3(s40)), introduced(assumption)).
% 1.38/1.60 tff(6421,plain,
% 1.38/1.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s40) | (~trans(s99, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s40) | (~trans(s99, s40)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.60 tff(6422,plain,
% 1.38/1.60 (((~trans(s99, s40)) | (~always3(s99)) | always3(s40)) <=> ((~always3(s99)) | always3(s40) | (~trans(s99, s40)))),
% 1.38/1.60 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6423,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s40)) | (~always3(s99)) | always3(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s40) | (~trans(s99, s40))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[6422])).
% 1.38/1.61 tff(6424,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s40)) | (~always3(s99)) | always3(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s40) | (~trans(s99, s40)))),
% 1.38/1.61 inference(transitivity,[status(thm)],[6423, 6421])).
% 1.38/1.61 tff(6425,plain,
% 1.38/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s40)) | (~always3(s99)) | always3(s40))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6426,plain,
% 1.38/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s40) | (~trans(s99, s40))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6425, 6424])).
% 1.38/1.61 tff(6427,plain,
% 1.38/1.61 ($false),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6426, 5388, 50, 5934, 6420])).
% 1.38/1.61 tff(6428,plain,((~trans(s99, s40)) | (~always3(s99)) | always3(s40)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.61 tff(6429,plain,
% 1.38/1.61 ((~trans(s99, s40)) | always3(s40)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6428, 5932])).
% 1.38/1.61 tff(6430,plain,
% 1.38/1.61 (~trans(s99, s40)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6429, 139])).
% 1.38/1.61 tff(6431,assumption,(~always3(s21)), introduced(assumption)).
% 1.38/1.61 tff(6432,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s21) | (~trans(s99, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s21) | (~trans(s99, s21)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6433,plain,
% 1.38/1.61 (((~trans(s99, s21)) | (~always3(s99)) | always3(s21)) <=> ((~always3(s99)) | always3(s21) | (~trans(s99, s21)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6434,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s21)) | (~always3(s99)) | always3(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s21) | (~trans(s99, s21))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[6433])).
% 1.38/1.61 tff(6435,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s21)) | (~always3(s99)) | always3(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s21) | (~trans(s99, s21)))),
% 1.38/1.61 inference(transitivity,[status(thm)],[6434, 6432])).
% 1.38/1.61 tff(6436,plain,
% 1.38/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s21)) | (~always3(s99)) | always3(s21))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6437,plain,
% 1.38/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s21) | (~trans(s99, s21))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6436, 6435])).
% 1.38/1.61 tff(6438,plain,
% 1.38/1.61 ($false),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6437, 5432, 50, 5934, 6431])).
% 1.38/1.61 tff(6439,plain,((~trans(s99, s21)) | (~always3(s99)) | always3(s21)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.61 tff(6440,plain,
% 1.38/1.61 ((~trans(s99, s21)) | always3(s21)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6439, 5932])).
% 1.38/1.61 tff(6441,plain,
% 1.38/1.61 (~trans(s99, s21)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6440, 367])).
% 1.38/1.61 tff(6442,assumption,(~always3(s31)), introduced(assumption)).
% 1.38/1.61 tff(6443,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s31) | (~trans(s99, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s31) | (~trans(s99, s31)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6444,plain,
% 1.38/1.61 (((~trans(s99, s31)) | (~always3(s99)) | always3(s31)) <=> ((~always3(s99)) | always3(s31) | (~trans(s99, s31)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6445,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s31)) | (~always3(s99)) | always3(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s31) | (~trans(s99, s31))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[6444])).
% 1.38/1.61 tff(6446,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s31)) | (~always3(s99)) | always3(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s31) | (~trans(s99, s31)))),
% 1.38/1.61 inference(transitivity,[status(thm)],[6445, 6443])).
% 1.38/1.61 tff(6447,plain,
% 1.38/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s31)) | (~always3(s99)) | always3(s31))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6448,plain,
% 1.38/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s31) | (~trans(s99, s31))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6447, 6446])).
% 1.38/1.61 tff(6449,plain,
% 1.38/1.61 ($false),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6448, 5465, 50, 5934, 6442])).
% 1.38/1.61 tff(6450,plain,((~trans(s99, s31)) | (~always3(s99)) | always3(s31)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.61 tff(6451,plain,
% 1.38/1.61 ((~trans(s99, s31)) | always3(s31)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6450, 5932])).
% 1.38/1.61 tff(6452,plain,
% 1.38/1.61 (~trans(s99, s31)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6451, 247])).
% 1.38/1.61 tff(6453,assumption,(~always3(s33)), introduced(assumption)).
% 1.38/1.61 tff(6454,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s33) | (~trans(s99, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s33) | (~trans(s99, s33)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6455,plain,
% 1.38/1.61 (((~trans(s99, s33)) | (~always3(s99)) | always3(s33)) <=> ((~always3(s99)) | always3(s33) | (~trans(s99, s33)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6456,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s33)) | (~always3(s99)) | always3(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s33) | (~trans(s99, s33))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[6455])).
% 1.38/1.61 tff(6457,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s33)) | (~always3(s99)) | always3(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s33) | (~trans(s99, s33)))),
% 1.38/1.61 inference(transitivity,[status(thm)],[6456, 6454])).
% 1.38/1.61 tff(6458,plain,
% 1.38/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s33)) | (~always3(s99)) | always3(s33))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6459,plain,
% 1.38/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s33) | (~trans(s99, s33))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6458, 6457])).
% 1.38/1.61 tff(6460,plain,
% 1.38/1.61 ($false),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6459, 5531, 50, 5934, 6453])).
% 1.38/1.61 tff(6461,plain,((~trans(s99, s33)) | (~always3(s99)) | always3(s33)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.61 tff(6462,plain,
% 1.38/1.61 ((~trans(s99, s33)) | always3(s33)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6461, 5932])).
% 1.38/1.61 tff(6463,plain,
% 1.38/1.61 (~trans(s99, s33)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6462, 223])).
% 1.38/1.61 tff(6464,assumption,(~always3(s6)), introduced(assumption)).
% 1.38/1.61 tff(6465,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s6) | (~trans(s99, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s6) | (~trans(s99, s6)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6466,plain,
% 1.38/1.61 (((~trans(s99, s6)) | (~always3(s99)) | always3(s6)) <=> ((~always3(s99)) | always3(s6) | (~trans(s99, s6)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6467,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s6)) | (~always3(s99)) | always3(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s6) | (~trans(s99, s6))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[6466])).
% 1.38/1.61 tff(6468,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s6)) | (~always3(s99)) | always3(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s6) | (~trans(s99, s6)))),
% 1.38/1.61 inference(transitivity,[status(thm)],[6467, 6465])).
% 1.38/1.61 tff(6469,plain,
% 1.38/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s6)) | (~always3(s99)) | always3(s6))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6470,plain,
% 1.38/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s6) | (~trans(s99, s6))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6469, 6468])).
% 1.38/1.61 tff(6471,plain,
% 1.38/1.61 ($false),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6470, 5487, 50, 5934, 6464])).
% 1.38/1.61 tff(6472,plain,((~trans(s99, s6)) | (~always3(s99)) | always3(s6)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.61 tff(6473,plain,
% 1.38/1.61 ((~trans(s99, s6)) | always3(s6)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6472, 5932])).
% 1.38/1.61 tff(6474,plain,
% 1.38/1.61 (~trans(s99, s6)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6473, 6018])).
% 1.38/1.61 tff(6475,assumption,(~always3(s46)), introduced(assumption)).
% 1.38/1.61 tff(6476,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s46) | (~trans(s99, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s46) | (~trans(s99, s46)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6477,plain,
% 1.38/1.61 (((~trans(s99, s46)) | (~always3(s99)) | always3(s46)) <=> ((~always3(s99)) | always3(s46) | (~trans(s99, s46)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6478,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s46)) | (~always3(s99)) | always3(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s46) | (~trans(s99, s46))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[6477])).
% 1.38/1.61 tff(6479,plain,
% 1.38/1.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s46)) | (~always3(s99)) | always3(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s46) | (~trans(s99, s46)))),
% 1.38/1.61 inference(transitivity,[status(thm)],[6478, 6476])).
% 1.38/1.61 tff(6480,plain,
% 1.38/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s46)) | (~always3(s99)) | always3(s46))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6481,plain,
% 1.38/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s46) | (~trans(s99, s46))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6480, 6479])).
% 1.38/1.61 tff(6482,plain,
% 1.38/1.61 ($false),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6481, 5509, 50, 5934, 6475])).
% 1.38/1.61 tff(6483,plain,((~trans(s99, s46)) | (~always3(s99)) | always3(s46)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.61 tff(6484,plain,
% 1.38/1.61 ((~trans(s99, s46)) | always3(s46)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6483, 5932])).
% 1.38/1.61 tff(6485,plain,
% 1.38/1.61 (~trans(s99, s46)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6484, 67])).
% 1.38/1.61 tff(6486,assumption,(~always3(s65)), introduced(assumption)).
% 1.38/1.61 tff(6487,plain,
% 1.38/1.61 (~always3(s64)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[1378, 6486])).
% 1.38/1.61 tff(6488,plain,
% 1.38/1.61 (~always3(s63)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[1407, 6487])).
% 1.38/1.61 tff(6489,plain,
% 1.38/1.61 (~always3(s62)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[1431, 6488])).
% 1.38/1.61 tff(6490,assumption,(~xuntil6(s8)), introduced(assumption)).
% 1.38/1.61 tff(6491,plain,
% 1.38/1.61 (~always3(s7)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2026, 6264])).
% 1.38/1.61 tff(6492,plain,
% 1.38/1.61 (~node4(s7)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2235, 595, 6491])).
% 1.38/1.61 tff(6493,plain,
% 1.38/1.61 (~node4(s8)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2252, 595, 6264])).
% 1.38/1.61 tff(6494,plain,
% 1.38/1.61 (node4(s8) | (~until5(s8))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2259, 614, 6490])).
% 1.38/1.61 tff(6495,plain,
% 1.38/1.61 (~until5(s8)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6494, 6493])).
% 1.38/1.61 tff(6496,plain,
% 1.38/1.61 (~xuntil6(s7)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2248, 6495])).
% 1.38/1.61 tff(6497,plain,
% 1.38/1.61 (~until5(s7)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2242, 614, 6496, 6492])).
% 1.38/1.61 tff(6498,plain,
% 1.38/1.61 (~xuntil6(s6)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2231, 6497])).
% 1.38/1.61 tff(6499,plain,
% 1.38/1.61 (~always3(s6)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2038, 6491])).
% 1.38/1.61 tff(6500,plain,
% 1.38/1.61 (~node4(s6)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2218, 595, 6499])).
% 1.38/1.61 tff(6501,plain,
% 1.38/1.61 (xuntil6(s6) | (~until5(s6))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2225, 614, 6500])).
% 1.38/1.61 tff(6502,plain,
% 1.38/1.61 (~until5(s6)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6501, 6498])).
% 1.38/1.61 tff(6503,plain,
% 1.38/1.61 (~xuntil6(s5)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2214, 6502])).
% 1.38/1.61 tff(6504,plain,
% 1.38/1.61 (~always3(s5)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2050, 6499])).
% 1.38/1.61 tff(6505,plain,
% 1.38/1.61 (~node4(s5)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2201, 595, 6504])).
% 1.38/1.61 tff(6506,plain,
% 1.38/1.61 (xuntil6(s5) | (~until5(s5))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2208, 614, 6505])).
% 1.38/1.61 tff(6507,plain,
% 1.38/1.61 (~until5(s5)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6506, 6503])).
% 1.38/1.61 tff(6508,plain,
% 1.38/1.61 (~xuntil6(s4)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2197, 6507])).
% 1.38/1.61 tff(6509,plain,
% 1.38/1.61 (~always3(s4)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2062, 6504])).
% 1.38/1.61 tff(6510,plain,
% 1.38/1.61 (~always3(s3)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2074, 6509])).
% 1.38/1.61 tff(6511,plain,
% 1.38/1.61 (~always3(s2)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2086, 6510])).
% 1.38/1.61 tff(6512,plain,
% 1.38/1.61 (~always3(s1)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2098, 6511])).
% 1.38/1.61 tff(6513,plain,
% 1.38/1.61 (~node4(s1)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2102, 595, 6512])).
% 1.38/1.61 tff(6514,plain,
% 1.38/1.61 (~always3(s0)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2114, 6512])).
% 1.38/1.61 tff(6515,plain,
% 1.38/1.61 (~node4(s0)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2118, 595, 6514])).
% 1.38/1.61 tff(6516,plain,
% 1.38/1.61 (xuntil6(s0)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2129, 6515])).
% 1.38/1.61 tff(6517,plain,
% 1.38/1.61 (until5(s1)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2134, 6516])).
% 1.38/1.61 tff(6518,plain,
% 1.38/1.61 (xuntil6(s1)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2141, 614, 6517, 6513])).
% 1.38/1.61 tff(6519,plain,
% 1.38/1.61 (until5(s2)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2146, 6518])).
% 1.38/1.61 tff(6520,plain,
% 1.38/1.61 (~node4(s2)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2150, 595, 6511])).
% 1.38/1.61 tff(6521,plain,
% 1.38/1.61 (xuntil6(s2) | (~until5(s2))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2157, 614, 6520])).
% 1.38/1.61 tff(6522,plain,
% 1.38/1.61 (xuntil6(s2)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6521, 6519])).
% 1.38/1.61 tff(6523,plain,
% 1.38/1.61 (until5(s3)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2163, 6522])).
% 1.38/1.61 tff(6524,plain,
% 1.38/1.61 (~node4(s3)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2167, 595, 6510])).
% 1.38/1.61 tff(6525,plain,
% 1.38/1.61 (xuntil6(s3) | (~until5(s3))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2174, 614, 6524])).
% 1.38/1.61 tff(6526,plain,
% 1.38/1.61 (xuntil6(s3)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6525, 6523])).
% 1.38/1.61 tff(6527,plain,
% 1.38/1.61 (until5(s4)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2180, 6526])).
% 1.38/1.61 tff(6528,plain,
% 1.38/1.61 (~node4(s4)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2184, 595, 6509])).
% 1.38/1.61 tff(6529,plain,
% 1.38/1.61 (xuntil6(s4) | (~until5(s4))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2191, 614, 6528])).
% 1.38/1.61 tff(6530,plain,
% 1.38/1.61 ($false),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6529, 6527, 6508])).
% 1.38/1.61 tff(6531,plain,(always3(s8) | xuntil6(s8)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.61 tff(6532,plain,
% 1.38/1.61 (always3(s8)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6531, 6490])).
% 1.38/1.61 tff(6533,plain,
% 1.38/1.61 (always3(s9)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2014, 6532])).
% 1.38/1.61 tff(6534,plain,
% 1.38/1.61 (((~![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)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6535,plain,
% 1.38/1.61 (((~m_main_v_state(s9, c_busy)) | (~always3(s9))) <=> ((~always3(s9)) | (~m_main_v_state(s9, c_busy)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6536,plain,
% 1.38/1.61 (((~![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))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[6535])).
% 1.38/1.61 tff(6537,plain,
% 1.38/1.61 (((~![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)))),
% 1.38/1.61 inference(transitivity,[status(thm)],[6536, 6534])).
% 1.38/1.61 tff(6538,plain,
% 1.38/1.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s9, c_busy)) | (~always3(s9)))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6539,plain,
% 1.38/1.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s9)) | (~m_main_v_state(s9, c_busy))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6538, 6537])).
% 1.38/1.61 tff(6540,plain,
% 1.38/1.61 (~m_main_v_state(s9, c_busy)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6539, 3154, 6533])).
% 1.38/1.61 tff(6541,assumption,(until5(s8)), introduced(assumption)).
% 1.38/1.61 tff(6542,plain,
% 1.38/1.61 (xuntil6(s8) | node4(s8)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2259, 614, 6541])).
% 1.38/1.61 tff(6543,plain,
% 1.38/1.61 (node4(s8)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6542, 6490])).
% 1.38/1.61 tff(6544,plain,
% 1.38/1.61 (((~![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)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6545,plain,
% 1.38/1.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s8) | (~node4(s8)))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6546,plain,
% 1.38/1.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s8) | (~node4(s8))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6545, 6544])).
% 1.38/1.61 tff(6547,plain,
% 1.38/1.61 (m_main_v_request(s8)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6546, 3141, 6543])).
% 1.38/1.61 tff(6548,plain,
% 1.38/1.61 (((~![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))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6549,plain,
% 1.38/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s8, s9)) | node2(s8, s9))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6550,plain,
% 1.38/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s8, s9)) | node2(s8, s9)),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6549, 6548])).
% 1.38/1.61 tff(6551,plain,
% 1.38/1.61 (node2(s8, s9)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6550, 7, 2010])).
% 1.38/1.61 tff(6552,plain,
% 1.38/1.61 (((~![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(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)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6553,plain,
% 1.38/1.61 ((~![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(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8)))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6554,plain,
% 1.38/1.61 ((~![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(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6553, 6552])).
% 1.38/1.61 tff(6555,plain,
% 1.38/1.61 ((~m_main_v_state(s8, c_ready)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6554, 3175, 6551])).
% 1.38/1.61 tff(6556,plain,
% 1.38/1.61 (~m_main_v_state(s8, c_ready)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6555, 6547, 6540])).
% 1.38/1.61 tff(6557,plain,
% 1.38/1.61 (((~![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)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6558,plain,
% 1.38/1.61 (((~m_main_v_state(s8, c_busy)) | (~always3(s8))) <=> ((~always3(s8)) | (~m_main_v_state(s8, c_busy)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6559,plain,
% 1.38/1.61 (((~![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))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[6558])).
% 1.38/1.61 tff(6560,plain,
% 1.38/1.61 (((~![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)))),
% 1.38/1.61 inference(transitivity,[status(thm)],[6559, 6557])).
% 1.38/1.61 tff(6561,plain,
% 1.38/1.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s8, c_busy)) | (~always3(s8)))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6562,plain,
% 1.38/1.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s8)) | (~m_main_v_state(s8, c_busy))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6561, 6560])).
% 1.38/1.61 tff(6563,plain,
% 1.38/1.61 (~m_main_v_state(s8, c_busy)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6562, 3154, 6532])).
% 1.38/1.61 tff(6564,plain,
% 1.38/1.61 (((~![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))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6565,plain,
% 1.38/1.61 ((~![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))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6566,plain,
% 1.38/1.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s8, c_busy) | m_main_v_state(s8, c_ready)),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6565, 6564])).
% 1.38/1.61 tff(6567,plain,
% 1.38/1.61 ($false),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6566, 19, 6563, 6556])).
% 1.38/1.61 tff(6568,plain,(xuntil6(s8) | (~until5(s8))), inference(lemma,lemma(discharge,[]))).
% 1.38/1.61 tff(6569,plain,
% 1.38/1.61 (~until5(s8)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6568, 6490])).
% 1.38/1.61 tff(6570,plain,
% 1.38/1.61 (~xuntil6(s7)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2248, 6569])).
% 1.38/1.61 tff(6571,assumption,(~xuntil6(s6)), introduced(assumption)).
% 1.38/1.61 tff(6572,plain,
% 1.38/1.61 (~always3(s5)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2050, 6464])).
% 1.38/1.61 tff(6573,plain,
% 1.38/1.61 (~node4(s5)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2201, 595, 6572])).
% 1.38/1.61 tff(6574,plain,
% 1.38/1.61 (~node4(s6)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2218, 595, 6464])).
% 1.38/1.61 tff(6575,plain,
% 1.38/1.61 (node4(s6) | (~until5(s6))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2225, 614, 6571])).
% 1.38/1.61 tff(6576,plain,
% 1.38/1.61 (~until5(s6)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6575, 6574])).
% 1.38/1.61 tff(6577,plain,
% 1.38/1.61 (~xuntil6(s5)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2214, 6576])).
% 1.38/1.61 tff(6578,plain,
% 1.38/1.61 (~until5(s5)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2208, 614, 6577, 6573])).
% 1.38/1.61 tff(6579,plain,
% 1.38/1.61 (~xuntil6(s4)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2197, 6578])).
% 1.38/1.61 tff(6580,plain,
% 1.38/1.61 (~always3(s4)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2062, 6572])).
% 1.38/1.61 tff(6581,plain,
% 1.38/1.61 (~node4(s4)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2184, 595, 6580])).
% 1.38/1.61 tff(6582,plain,
% 1.38/1.61 (xuntil6(s4) | (~until5(s4))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2191, 614, 6581])).
% 1.38/1.61 tff(6583,plain,
% 1.38/1.61 (~until5(s4)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6582, 6579])).
% 1.38/1.61 tff(6584,plain,
% 1.38/1.61 (~xuntil6(s3)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2180, 6583])).
% 1.38/1.61 tff(6585,plain,
% 1.38/1.61 (~always3(s3)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2074, 6580])).
% 1.38/1.61 tff(6586,plain,
% 1.38/1.61 (~always3(s2)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2086, 6585])).
% 1.38/1.61 tff(6587,plain,
% 1.38/1.61 (~always3(s1)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2098, 6586])).
% 1.38/1.61 tff(6588,plain,
% 1.38/1.61 (~node4(s1)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2102, 595, 6587])).
% 1.38/1.61 tff(6589,plain,
% 1.38/1.61 (~always3(s0)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2114, 6587])).
% 1.38/1.61 tff(6590,plain,
% 1.38/1.61 (~node4(s0)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2118, 595, 6589])).
% 1.38/1.61 tff(6591,plain,
% 1.38/1.61 (xuntil6(s0)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2129, 6590])).
% 1.38/1.61 tff(6592,plain,
% 1.38/1.61 (until5(s1)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2134, 6591])).
% 1.38/1.61 tff(6593,plain,
% 1.38/1.61 (xuntil6(s1)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2141, 614, 6592, 6588])).
% 1.38/1.61 tff(6594,plain,
% 1.38/1.61 (until5(s2)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2146, 6593])).
% 1.38/1.61 tff(6595,plain,
% 1.38/1.61 (~node4(s2)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2150, 595, 6586])).
% 1.38/1.61 tff(6596,plain,
% 1.38/1.61 (xuntil6(s2) | (~until5(s2))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2157, 614, 6595])).
% 1.38/1.61 tff(6597,plain,
% 1.38/1.61 (xuntil6(s2)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6596, 6594])).
% 1.38/1.61 tff(6598,plain,
% 1.38/1.61 (until5(s3)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2163, 6597])).
% 1.38/1.61 tff(6599,plain,
% 1.38/1.61 (~node4(s3)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2167, 595, 6585])).
% 1.38/1.61 tff(6600,plain,
% 1.38/1.61 (xuntil6(s3) | (~until5(s3))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2174, 614, 6599])).
% 1.38/1.61 tff(6601,plain,
% 1.38/1.61 ($false),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6600, 6598, 6584])).
% 1.38/1.61 tff(6602,plain,(always3(s6) | xuntil6(s6)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.61 tff(6603,plain,
% 1.38/1.61 (always3(s6)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6602, 6571])).
% 1.38/1.61 tff(6604,plain,
% 1.38/1.61 (always3(s7)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2038, 6603])).
% 1.38/1.61 tff(6605,plain,
% 1.38/1.61 (((~![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)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6606,plain,
% 1.38/1.61 (((~m_main_v_state(s7, c_busy)) | (~always3(s7))) <=> ((~always3(s7)) | (~m_main_v_state(s7, c_busy)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6607,plain,
% 1.38/1.61 (((~![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))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[6606])).
% 1.38/1.61 tff(6608,plain,
% 1.38/1.61 (((~![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)))),
% 1.38/1.61 inference(transitivity,[status(thm)],[6607, 6605])).
% 1.38/1.61 tff(6609,plain,
% 1.38/1.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s7, c_busy)) | (~always3(s7)))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6610,plain,
% 1.38/1.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s7)) | (~m_main_v_state(s7, c_busy))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6609, 6608])).
% 1.38/1.61 tff(6611,plain,
% 1.38/1.61 (~m_main_v_state(s7, c_busy)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6610, 3154, 6604])).
% 1.38/1.61 tff(6612,assumption,(until5(s6)), introduced(assumption)).
% 1.38/1.61 tff(6613,plain,
% 1.38/1.61 (xuntil6(s6) | node4(s6)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2225, 614, 6612])).
% 1.38/1.61 tff(6614,plain,
% 1.38/1.61 (node4(s6)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6613, 6571])).
% 1.38/1.61 tff(6615,plain,
% 1.38/1.61 (((~![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)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6616,plain,
% 1.38/1.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s6) | (~node4(s6)))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6617,plain,
% 1.38/1.61 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s6) | (~node4(s6))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6616, 6615])).
% 1.38/1.61 tff(6618,plain,
% 1.38/1.61 (m_main_v_request(s6)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6617, 3141, 6614])).
% 1.38/1.61 tff(6619,plain,
% 1.38/1.61 (((~![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))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6620,plain,
% 1.38/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s6, s7)) | node2(s6, s7))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6621,plain,
% 1.38/1.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s6, s7)) | node2(s6, s7)),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6620, 6619])).
% 1.38/1.61 tff(6622,plain,
% 1.38/1.61 (node2(s6, s7)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6621, 7, 2034])).
% 1.38/1.61 tff(6623,plain,
% 1.38/1.61 (((~![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(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)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6624,plain,
% 1.38/1.61 ((~![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(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6)))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6625,plain,
% 1.38/1.61 ((~![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(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6624, 6623])).
% 1.38/1.61 tff(6626,plain,
% 1.38/1.61 ((~m_main_v_state(s6, c_ready)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6625, 3175, 6622])).
% 1.38/1.61 tff(6627,plain,
% 1.38/1.61 (~m_main_v_state(s6, c_ready)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6626, 6618, 6611])).
% 1.38/1.61 tff(6628,plain,
% 1.38/1.61 (((~![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)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6629,plain,
% 1.38/1.61 (((~m_main_v_state(s6, c_busy)) | (~always3(s6))) <=> ((~always3(s6)) | (~m_main_v_state(s6, c_busy)))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6630,plain,
% 1.38/1.61 (((~![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))))),
% 1.38/1.61 inference(monotonicity,[status(thm)],[6629])).
% 1.38/1.61 tff(6631,plain,
% 1.38/1.61 (((~![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)))),
% 1.38/1.61 inference(transitivity,[status(thm)],[6630, 6628])).
% 1.38/1.61 tff(6632,plain,
% 1.38/1.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s6, c_busy)) | (~always3(s6)))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6633,plain,
% 1.38/1.61 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s6)) | (~m_main_v_state(s6, c_busy))),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6632, 6631])).
% 1.38/1.61 tff(6634,plain,
% 1.38/1.61 (~m_main_v_state(s6, c_busy)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6633, 3154, 6603])).
% 1.38/1.61 tff(6635,plain,
% 1.38/1.61 (((~![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))),
% 1.38/1.61 inference(rewrite,[status(thm)],[])).
% 1.38/1.61 tff(6636,plain,
% 1.38/1.61 ((~![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))),
% 1.38/1.61 inference(quant_inst,[status(thm)],[])).
% 1.38/1.61 tff(6637,plain,
% 1.38/1.61 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s6, c_busy) | m_main_v_state(s6, c_ready)),
% 1.38/1.61 inference(modus_ponens,[status(thm)],[6636, 6635])).
% 1.38/1.61 tff(6638,plain,
% 1.38/1.61 ($false),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6637, 19, 6634, 6627])).
% 1.38/1.61 tff(6639,plain,(xuntil6(s6) | (~until5(s6))), inference(lemma,lemma(discharge,[]))).
% 1.38/1.61 tff(6640,plain,
% 1.38/1.61 (~until5(s6)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6639, 6571])).
% 1.38/1.61 tff(6641,plain,
% 1.38/1.61 (~xuntil6(s5)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2214, 6640])).
% 1.38/1.61 tff(6642,assumption,(~xuntil6(s4)), introduced(assumption)).
% 1.38/1.61 tff(6643,plain,
% 1.38/1.61 (~always3(s3)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2074, 6034])).
% 1.38/1.61 tff(6644,plain,
% 1.38/1.61 (~node4(s3)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2167, 595, 6643])).
% 1.38/1.61 tff(6645,plain,
% 1.38/1.61 (~node4(s4)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2184, 595, 6034])).
% 1.38/1.61 tff(6646,plain,
% 1.38/1.61 (node4(s4) | (~until5(s4))),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2191, 614, 6642])).
% 1.38/1.61 tff(6647,plain,
% 1.38/1.61 (~until5(s4)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[6646, 6645])).
% 1.38/1.61 tff(6648,plain,
% 1.38/1.61 (~xuntil6(s3)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2180, 6647])).
% 1.38/1.61 tff(6649,plain,
% 1.38/1.61 (~until5(s3)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2174, 614, 6648, 6644])).
% 1.38/1.61 tff(6650,plain,
% 1.38/1.61 (~xuntil6(s2)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2163, 6649])).
% 1.38/1.61 tff(6651,plain,
% 1.38/1.61 (~always3(s2)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2086, 6643])).
% 1.38/1.61 tff(6652,plain,
% 1.38/1.61 (~always3(s1)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2098, 6651])).
% 1.38/1.61 tff(6653,plain,
% 1.38/1.61 (~node4(s1)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2102, 595, 6652])).
% 1.38/1.61 tff(6654,plain,
% 1.38/1.61 (~always3(s0)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2114, 6652])).
% 1.38/1.61 tff(6655,plain,
% 1.38/1.61 (~node4(s0)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2118, 595, 6654])).
% 1.38/1.61 tff(6656,plain,
% 1.38/1.61 (xuntil6(s0)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2129, 6655])).
% 1.38/1.61 tff(6657,plain,
% 1.38/1.61 (until5(s1)),
% 1.38/1.61 inference(unit_resolution,[status(thm)],[2134, 6656])).
% 1.38/1.61 tff(6658,plain,
% 1.38/1.61 (xuntil6(s1)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2141, 614, 6657, 6653])).
% 1.38/1.62 tff(6659,plain,
% 1.38/1.62 (until5(s2)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2146, 6658])).
% 1.38/1.62 tff(6660,plain,
% 1.38/1.62 (~node4(s2)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2150, 595, 6651])).
% 1.38/1.62 tff(6661,plain,
% 1.38/1.62 (xuntil6(s2) | (~until5(s2))),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2157, 614, 6660])).
% 1.38/1.62 tff(6662,plain,
% 1.38/1.62 ($false),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6661, 6659, 6650])).
% 1.38/1.62 tff(6663,plain,(always3(s4) | xuntil6(s4)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.62 tff(6664,plain,
% 1.38/1.62 (always3(s4)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6663, 6642])).
% 1.38/1.62 tff(6665,plain,
% 1.38/1.62 (always3(s5)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2062, 6664])).
% 1.38/1.62 tff(6666,plain,
% 1.38/1.62 (((~![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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6667,plain,
% 1.38/1.62 (((~m_main_v_state(s5, c_busy)) | (~always3(s5))) <=> ((~always3(s5)) | (~m_main_v_state(s5, c_busy)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6668,plain,
% 1.38/1.62 (((~![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))))),
% 1.38/1.62 inference(monotonicity,[status(thm)],[6667])).
% 1.38/1.62 tff(6669,plain,
% 1.38/1.62 (((~![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)))),
% 1.38/1.62 inference(transitivity,[status(thm)],[6668, 6666])).
% 1.38/1.62 tff(6670,plain,
% 1.38/1.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s5, c_busy)) | (~always3(s5)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6671,plain,
% 1.38/1.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s5)) | (~m_main_v_state(s5, c_busy))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6670, 6669])).
% 1.38/1.62 tff(6672,plain,
% 1.38/1.62 (~m_main_v_state(s5, c_busy)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6671, 3154, 6665])).
% 1.38/1.62 tff(6673,assumption,(until5(s4)), introduced(assumption)).
% 1.38/1.62 tff(6674,plain,
% 1.38/1.62 (xuntil6(s4) | node4(s4)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2191, 614, 6673])).
% 1.38/1.62 tff(6675,plain,
% 1.38/1.62 (node4(s4)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6674, 6642])).
% 1.38/1.62 tff(6676,plain,
% 1.38/1.62 (((~![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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6677,plain,
% 1.38/1.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s4) | (~node4(s4)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6678,plain,
% 1.38/1.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s4) | (~node4(s4))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6677, 6676])).
% 1.38/1.62 tff(6679,plain,
% 1.38/1.62 (m_main_v_request(s4)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6678, 3141, 6675])).
% 1.38/1.62 tff(6680,plain,
% 1.38/1.62 (((~![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))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6681,plain,
% 1.38/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s4, s5)) | node2(s4, s5))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6682,plain,
% 1.38/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s4, s5)) | node2(s4, s5)),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6681, 6680])).
% 1.38/1.62 tff(6683,plain,
% 1.38/1.62 (node2(s4, s5)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6682, 7, 2058])).
% 1.38/1.62 tff(6684,plain,
% 1.38/1.62 (((~![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(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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6685,plain,
% 1.38/1.62 ((~![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(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6686,plain,
% 1.38/1.62 ((~![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(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6685, 6684])).
% 1.38/1.62 tff(6687,plain,
% 1.38/1.62 ((~m_main_v_state(s4, c_ready)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4))),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6686, 3175, 6683])).
% 1.38/1.62 tff(6688,plain,
% 1.38/1.62 (~m_main_v_state(s4, c_ready)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6687, 6679, 6672])).
% 1.38/1.62 tff(6689,plain,
% 1.38/1.62 (((~![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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6690,plain,
% 1.38/1.62 (((~m_main_v_state(s4, c_busy)) | (~always3(s4))) <=> ((~always3(s4)) | (~m_main_v_state(s4, c_busy)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6691,plain,
% 1.38/1.62 (((~![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))))),
% 1.38/1.62 inference(monotonicity,[status(thm)],[6690])).
% 1.38/1.62 tff(6692,plain,
% 1.38/1.62 (((~![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)))),
% 1.38/1.62 inference(transitivity,[status(thm)],[6691, 6689])).
% 1.38/1.62 tff(6693,plain,
% 1.38/1.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s4, c_busy)) | (~always3(s4)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6694,plain,
% 1.38/1.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s4)) | (~m_main_v_state(s4, c_busy))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6693, 6692])).
% 1.38/1.62 tff(6695,plain,
% 1.38/1.62 (~m_main_v_state(s4, c_busy)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6694, 3154, 6664])).
% 1.38/1.62 tff(6696,plain,
% 1.38/1.62 (((~![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))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6697,plain,
% 1.38/1.62 ((~![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))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6698,plain,
% 1.38/1.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s4, c_busy) | m_main_v_state(s4, c_ready)),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6697, 6696])).
% 1.38/1.62 tff(6699,plain,
% 1.38/1.62 ($false),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6698, 19, 6695, 6688])).
% 1.38/1.62 tff(6700,plain,(xuntil6(s4) | (~until5(s4))), inference(lemma,lemma(discharge,[]))).
% 1.38/1.62 tff(6701,plain,
% 1.38/1.62 (~until5(s4)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6700, 6642])).
% 1.38/1.62 tff(6702,plain,
% 1.38/1.62 (~xuntil6(s3)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2180, 6701])).
% 1.38/1.62 tff(6703,assumption,(node4(s0)), introduced(assumption)).
% 1.38/1.62 tff(6704,plain,
% 1.38/1.62 (((~![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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6705,plain,
% 1.38/1.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s0) | (~node4(s0)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6706,plain,
% 1.38/1.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s0) | (~node4(s0))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6705, 6704])).
% 1.38/1.62 tff(6707,plain,
% 1.38/1.62 (m_main_v_request(s0)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6706, 3141, 6703])).
% 1.38/1.62 tff(6708,plain,
% 1.38/1.62 (((~![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))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6709,plain,
% 1.38/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s0, s1)) | node2(s0, s1))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6710,plain,
% 1.38/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s0, s1)) | node2(s0, s1)),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6709, 6708])).
% 1.38/1.62 tff(6711,plain,
% 1.38/1.62 (node2(s0, s1)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6710, 7, 2110])).
% 1.38/1.62 tff(6712,plain,
% 1.38/1.62 (m_main_v_state(s0, c_ready) <=> m_main_v_state(s0, c_ready)),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6713,axiom,(m_main_v_state(s0, c_ready)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_3')).
% 1.38/1.62 tff(6714,plain,
% 1.38/1.62 (m_main_v_state(s0, c_ready)),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6713, 6712])).
% 1.38/1.62 tff(6715,plain,
% 1.38/1.62 (((~![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(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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6716,plain,
% 1.38/1.62 ((~![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(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6717,plain,
% 1.38/1.62 ((~![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(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6716, 6715])).
% 1.38/1.62 tff(6718,plain,
% 1.38/1.62 (m_main_v_state(s1, c_busy) | (~m_main_v_request(s0))),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6717, 6714, 3175, 6711])).
% 1.38/1.62 tff(6719,plain,
% 1.38/1.62 (m_main_v_state(s1, c_busy)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6718, 6707])).
% 1.38/1.62 tff(6720,plain,
% 1.38/1.62 (always3(s0)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2118, 595, 6703])).
% 1.38/1.62 tff(6721,plain,
% 1.38/1.62 (always3(s1)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2114, 6720])).
% 1.38/1.62 tff(6722,plain,
% 1.38/1.62 (((~![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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6723,plain,
% 1.38/1.62 (((~m_main_v_state(s1, c_busy)) | (~always3(s1))) <=> ((~always3(s1)) | (~m_main_v_state(s1, c_busy)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6724,plain,
% 1.38/1.62 (((~![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))))),
% 1.38/1.62 inference(monotonicity,[status(thm)],[6723])).
% 1.38/1.62 tff(6725,plain,
% 1.38/1.62 (((~![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)))),
% 1.38/1.62 inference(transitivity,[status(thm)],[6724, 6722])).
% 1.38/1.62 tff(6726,plain,
% 1.38/1.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s1, c_busy)) | (~always3(s1)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6727,plain,
% 1.38/1.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s1)) | (~m_main_v_state(s1, c_busy))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6726, 6725])).
% 1.38/1.62 tff(6728,plain,
% 1.38/1.62 ($false),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6727, 3154, 6721, 6719])).
% 1.38/1.62 tff(6729,plain,(~node4(s0)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.62 tff(6730,plain,
% 1.38/1.62 (xuntil6(s0)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2129, 6729])).
% 1.38/1.62 tff(6731,plain,
% 1.38/1.62 (until5(s1)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2134, 6730])).
% 1.38/1.62 tff(6732,assumption,(until5(s1)), introduced(assumption)).
% 1.38/1.62 tff(6733,assumption,(~m_main_v_state(s4, c_busy)), introduced(assumption)).
% 1.38/1.62 tff(6734,assumption,(~xuntil6(s3)), introduced(assumption)).
% 1.38/1.62 tff(6735,plain,
% 1.38/1.62 (~always3(s2)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2086, 6310])).
% 1.38/1.62 tff(6736,plain,
% 1.38/1.62 (~node4(s2)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2150, 595, 6735])).
% 1.38/1.62 tff(6737,plain,
% 1.38/1.62 (~always3(s1)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2098, 6735])).
% 1.38/1.62 tff(6738,plain,
% 1.38/1.62 (~node4(s1)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2102, 595, 6737])).
% 1.38/1.62 tff(6739,plain,
% 1.38/1.62 (xuntil6(s1) | node4(s1)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2141, 614, 6732])).
% 1.38/1.62 tff(6740,plain,
% 1.38/1.62 (xuntil6(s1)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6739, 6738])).
% 1.38/1.62 tff(6741,plain,
% 1.38/1.62 (until5(s2)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2146, 6740])).
% 1.38/1.62 tff(6742,plain,
% 1.38/1.62 (xuntil6(s2)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2157, 614, 6741, 6736])).
% 1.38/1.62 tff(6743,plain,
% 1.38/1.62 (until5(s3)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2163, 6742])).
% 1.38/1.62 tff(6744,plain,
% 1.38/1.62 (node4(s3) | (~until5(s3))),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2174, 614, 6734])).
% 1.38/1.62 tff(6745,plain,
% 1.38/1.62 (node4(s3)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6744, 6743])).
% 1.38/1.62 tff(6746,plain,
% 1.38/1.62 ($false),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2167, 595, 6310, 6745])).
% 1.38/1.62 tff(6747,plain,(always3(s3) | xuntil6(s3) | (~until5(s1))), inference(lemma,lemma(discharge,[]))).
% 1.38/1.62 tff(6748,plain,
% 1.38/1.62 (always3(s3)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6747, 6732, 6734])).
% 1.38/1.62 tff(6749,plain,
% 1.38/1.62 (((~![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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6750,plain,
% 1.38/1.62 (((~m_main_v_state(s3, c_busy)) | (~always3(s3))) <=> ((~always3(s3)) | (~m_main_v_state(s3, c_busy)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6751,plain,
% 1.38/1.62 (((~![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))))),
% 1.38/1.62 inference(monotonicity,[status(thm)],[6750])).
% 1.38/1.62 tff(6752,plain,
% 1.38/1.62 (((~![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)))),
% 1.38/1.62 inference(transitivity,[status(thm)],[6751, 6749])).
% 1.38/1.62 tff(6753,plain,
% 1.38/1.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s3, c_busy)) | (~always3(s3)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6754,plain,
% 1.38/1.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s3)) | (~m_main_v_state(s3, c_busy))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6753, 6752])).
% 1.38/1.62 tff(6755,plain,
% 1.38/1.62 (~m_main_v_state(s3, c_busy)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6754, 3154, 6748])).
% 1.38/1.62 tff(6756,plain,
% 1.38/1.62 (((~![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))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6757,plain,
% 1.38/1.62 ((~![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))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6758,plain,
% 1.38/1.62 ((~![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)),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6757, 6756])).
% 1.38/1.62 tff(6759,plain,
% 1.38/1.62 (m_main_v_state(s3, c_ready)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6758, 19, 6755])).
% 1.38/1.62 tff(6760,plain,
% 1.38/1.62 (((~![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))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6761,plain,
% 1.38/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s3, s4)) | node2(s3, s4))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6762,plain,
% 1.38/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s3, s4)) | node2(s3, s4)),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6761, 6760])).
% 1.38/1.62 tff(6763,plain,
% 1.38/1.62 (node2(s3, s4)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6762, 7, 2070])).
% 1.38/1.62 tff(6764,plain,
% 1.38/1.62 (((~![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(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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6765,plain,
% 1.38/1.62 ((~![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(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6766,plain,
% 1.38/1.62 ((~![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(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6765, 6764])).
% 1.38/1.62 tff(6767,plain,
% 1.38/1.62 ((~m_main_v_state(s3, c_ready)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3))),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6766, 3175, 6763])).
% 1.38/1.62 tff(6768,plain,
% 1.38/1.62 (~m_main_v_request(s3)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6767, 6759, 6733])).
% 1.38/1.62 tff(6769,plain,
% 1.38/1.62 (((~![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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6770,plain,
% 1.38/1.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s3) | (~node4(s3)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6771,plain,
% 1.38/1.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s3) | (~node4(s3))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6770, 6769])).
% 1.38/1.62 tff(6772,plain,
% 1.38/1.62 (~node4(s3)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6771, 3141, 6768])).
% 1.38/1.62 tff(6773,plain,
% 1.38/1.62 (~until5(s3)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6744, 6772])).
% 1.38/1.62 tff(6774,plain,
% 1.38/1.62 (~xuntil6(s2)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2163, 6773])).
% 1.38/1.62 tff(6775,plain,
% 1.38/1.62 (~always3(s1)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2098, 6023])).
% 1.38/1.62 tff(6776,plain,
% 1.38/1.62 (~node4(s1)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2102, 595, 6775])).
% 1.38/1.62 tff(6777,plain,
% 1.38/1.62 (xuntil6(s1)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6739, 6776])).
% 1.38/1.62 tff(6778,plain,
% 1.38/1.62 (until5(s2)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2146, 6777])).
% 1.38/1.62 tff(6779,assumption,(~xuntil6(s2)), introduced(assumption)).
% 1.38/1.62 tff(6780,plain,
% 1.38/1.62 (node4(s2) | (~until5(s2))),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2157, 614, 6779])).
% 1.38/1.62 tff(6781,plain,
% 1.38/1.62 (node4(s2)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6780, 6778])).
% 1.38/1.62 tff(6782,plain,
% 1.38/1.62 ($false),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2150, 595, 6023, 6781])).
% 1.38/1.62 tff(6783,plain,(always3(s2) | xuntil6(s2) | (~until5(s1))), inference(lemma,lemma(discharge,[]))).
% 1.38/1.62 tff(6784,plain,
% 1.38/1.62 (always3(s2)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6783, 6774, 6732])).
% 1.38/1.62 tff(6785,plain,
% 1.38/1.62 (((~![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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6786,plain,
% 1.38/1.62 (((~m_main_v_state(s2, c_busy)) | (~always3(s2))) <=> ((~always3(s2)) | (~m_main_v_state(s2, c_busy)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6787,plain,
% 1.38/1.62 (((~![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))))),
% 1.38/1.62 inference(monotonicity,[status(thm)],[6786])).
% 1.38/1.62 tff(6788,plain,
% 1.38/1.62 (((~![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)))),
% 1.38/1.62 inference(transitivity,[status(thm)],[6787, 6785])).
% 1.38/1.62 tff(6789,plain,
% 1.38/1.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s2, c_busy)) | (~always3(s2)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6790,plain,
% 1.38/1.62 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s2)) | (~m_main_v_state(s2, c_busy))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6789, 6788])).
% 1.38/1.62 tff(6791,plain,
% 1.38/1.62 (~m_main_v_state(s2, c_busy)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6790, 3154, 6784])).
% 1.38/1.62 tff(6792,plain,
% 1.38/1.62 (((~![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))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6793,plain,
% 1.38/1.62 ((~![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))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6794,plain,
% 1.38/1.62 ((~![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)),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6793, 6792])).
% 1.38/1.62 tff(6795,plain,
% 1.38/1.62 (m_main_v_state(s2, c_ready)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6794, 19, 6791])).
% 1.38/1.62 tff(6796,plain,
% 1.38/1.62 (((~![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))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6797,plain,
% 1.38/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s2, s3)) | node2(s2, s3))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6798,plain,
% 1.38/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s2, s3)) | node2(s2, s3)),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6797, 6796])).
% 1.38/1.62 tff(6799,plain,
% 1.38/1.62 (node2(s2, s3)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6798, 7, 2082])).
% 1.38/1.62 tff(6800,plain,
% 1.38/1.62 (((~![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(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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6801,plain,
% 1.38/1.62 ((~![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(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6802,plain,
% 1.38/1.62 ((~![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(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6801, 6800])).
% 1.38/1.62 tff(6803,plain,
% 1.38/1.62 ((~m_main_v_state(s2, c_ready)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2))),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6802, 3175, 6799])).
% 1.38/1.62 tff(6804,plain,
% 1.38/1.62 (~m_main_v_request(s2)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6803, 6795, 6755])).
% 1.38/1.62 tff(6805,plain,
% 1.38/1.62 (((~![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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6806,plain,
% 1.38/1.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s2) | (~node4(s2)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6807,plain,
% 1.38/1.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s2) | (~node4(s2))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6806, 6805])).
% 1.38/1.62 tff(6808,plain,
% 1.38/1.62 (~node4(s2)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6807, 3141, 6804])).
% 1.38/1.62 tff(6809,plain,
% 1.38/1.62 (node4(s2) | (~until5(s2))),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2157, 614, 6774])).
% 1.38/1.62 tff(6810,plain,
% 1.38/1.62 (~until5(s2)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6809, 6808])).
% 1.38/1.62 tff(6811,plain,
% 1.38/1.62 (~xuntil6(s1)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2146, 6810])).
% 1.38/1.62 tff(6812,plain,
% 1.38/1.62 (node4(s1)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6739, 6811])).
% 1.38/1.62 tff(6813,plain,
% 1.38/1.62 (((~![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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6814,plain,
% 1.38/1.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s1) | (~node4(s1)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6815,plain,
% 1.38/1.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s1) | (~node4(s1))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6814, 6813])).
% 1.38/1.62 tff(6816,plain,
% 1.38/1.62 (m_main_v_request(s1)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6815, 3141, 6812])).
% 1.38/1.62 tff(6817,plain,
% 1.38/1.62 (((~![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))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6818,plain,
% 1.38/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s1, s2)) | node2(s1, s2))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6819,plain,
% 1.38/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s1, s2)) | node2(s1, s2)),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6818, 6817])).
% 1.38/1.62 tff(6820,plain,
% 1.38/1.62 (node2(s1, s2)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6819, 7, 2094])).
% 1.38/1.62 tff(6821,plain,
% 1.38/1.62 (((~![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(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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6822,plain,
% 1.38/1.62 ((~![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(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6823,plain,
% 1.38/1.62 ((~![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(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6822, 6821])).
% 1.38/1.62 tff(6824,plain,
% 1.38/1.62 ((~m_main_v_state(s1, c_ready)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1))),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6823, 3175, 6820])).
% 1.38/1.62 tff(6825,plain,
% 1.38/1.62 (~m_main_v_state(s1, c_ready)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6824, 6816, 6791])).
% 1.38/1.62 tff(6826,plain,
% 1.38/1.62 (always3(s1)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2102, 595, 6812])).
% 1.38/1.62 tff(6827,plain,
% 1.38/1.62 (~m_main_v_state(s1, c_busy)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6727, 3154, 6826])).
% 1.38/1.62 tff(6828,plain,
% 1.38/1.62 (((~![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))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6829,plain,
% 1.38/1.62 ((~![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))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6830,plain,
% 1.38/1.62 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s1, c_busy) | m_main_v_state(s1, c_ready)),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6829, 6828])).
% 1.38/1.62 tff(6831,plain,
% 1.38/1.62 ($false),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6830, 19, 6827, 6825])).
% 1.38/1.62 tff(6832,plain,((~until5(s1)) | xuntil6(s3) | m_main_v_state(s4, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.62 tff(6833,plain,
% 1.38/1.62 (xuntil6(s3) | m_main_v_state(s4, c_busy)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6832, 6731])).
% 1.38/1.62 tff(6834,plain,
% 1.38/1.62 (m_main_v_state(s4, c_busy)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6833, 6702])).
% 1.38/1.62 tff(6835,plain,
% 1.38/1.62 ($false),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6694, 3154, 6664, 6834])).
% 1.38/1.62 tff(6836,plain,(xuntil6(s4)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.62 tff(6837,plain,
% 1.38/1.62 (until5(s5)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2197, 6836])).
% 1.38/1.62 tff(6838,plain,
% 1.38/1.62 (xuntil6(s5) | node4(s5)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2208, 614, 6837])).
% 1.38/1.62 tff(6839,plain,
% 1.38/1.62 (node4(s5)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6838, 6641])).
% 1.38/1.62 tff(6840,assumption,(~m_main_v_state(s6, c_busy)), introduced(assumption)).
% 1.38/1.62 tff(6841,assumption,(node4(s5)), introduced(assumption)).
% 1.38/1.62 tff(6842,plain,
% 1.38/1.62 (((~![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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6843,plain,
% 1.38/1.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s5) | (~node4(s5)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6844,plain,
% 1.38/1.62 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s5) | (~node4(s5))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6843, 6842])).
% 1.38/1.62 tff(6845,plain,
% 1.38/1.62 (m_main_v_request(s5)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6844, 3141, 6841])).
% 1.38/1.62 tff(6846,plain,
% 1.38/1.62 (((~![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))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6847,plain,
% 1.38/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s5, s6)) | node2(s5, s6))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6848,plain,
% 1.38/1.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s5, s6)) | node2(s5, s6)),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6847, 6846])).
% 1.38/1.62 tff(6849,plain,
% 1.38/1.62 (node2(s5, s6)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6848, 7, 2046])).
% 1.38/1.62 tff(6850,plain,
% 1.38/1.62 (((~![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(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)))),
% 1.38/1.62 inference(rewrite,[status(thm)],[])).
% 1.38/1.62 tff(6851,plain,
% 1.38/1.62 ((~![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(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5)))),
% 1.38/1.62 inference(quant_inst,[status(thm)],[])).
% 1.38/1.62 tff(6852,plain,
% 1.38/1.62 ((~![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(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5))),
% 1.38/1.62 inference(modus_ponens,[status(thm)],[6851, 6850])).
% 1.38/1.62 tff(6853,plain,
% 1.38/1.62 ((~m_main_v_state(s5, c_ready)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5))),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6852, 3175, 6849])).
% 1.38/1.62 tff(6854,plain,
% 1.38/1.62 (~m_main_v_state(s5, c_ready)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6853, 6845, 6840])).
% 1.38/1.62 tff(6855,plain,
% 1.38/1.62 (always3(s5)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[2201, 595, 6841])).
% 1.38/1.62 tff(6856,plain,
% 1.38/1.62 (~m_main_v_state(s5, c_busy)),
% 1.38/1.62 inference(unit_resolution,[status(thm)],[6671, 3154, 6855])).
% 1.38/1.62 tff(6857,plain,
% 1.38/1.62 (((~![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))),
% 1.38/1.63 inference(rewrite,[status(thm)],[])).
% 1.38/1.63 tff(6858,plain,
% 1.38/1.63 ((~![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))),
% 1.38/1.63 inference(quant_inst,[status(thm)],[])).
% 1.38/1.63 tff(6859,plain,
% 1.38/1.63 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s5, c_busy) | m_main_v_state(s5, c_ready)),
% 1.38/1.63 inference(modus_ponens,[status(thm)],[6858, 6857])).
% 1.38/1.63 tff(6860,plain,
% 1.38/1.63 ($false),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6859, 19, 6856, 6854])).
% 1.38/1.63 tff(6861,plain,((~node4(s5)) | m_main_v_state(s6, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.63 tff(6862,plain,
% 1.38/1.63 (m_main_v_state(s6, c_busy)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6861, 6839])).
% 1.38/1.63 tff(6863,plain,
% 1.38/1.63 ($false),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6633, 3154, 6603, 6862])).
% 1.38/1.63 tff(6864,plain,(xuntil6(s6)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.63 tff(6865,plain,
% 1.38/1.63 (until5(s7)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2231, 6864])).
% 1.38/1.63 tff(6866,plain,
% 1.38/1.63 (xuntil6(s7) | node4(s7)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2242, 614, 6865])).
% 1.38/1.63 tff(6867,plain,
% 1.38/1.63 (node4(s7)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6866, 6570])).
% 1.38/1.63 tff(6868,assumption,(~m_main_v_state(s8, c_busy)), introduced(assumption)).
% 1.38/1.63 tff(6869,assumption,(node4(s7)), introduced(assumption)).
% 1.38/1.63 tff(6870,plain,
% 1.38/1.63 (((~![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)))),
% 1.38/1.63 inference(rewrite,[status(thm)],[])).
% 1.38/1.63 tff(6871,plain,
% 1.38/1.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s7) | (~node4(s7)))),
% 1.38/1.63 inference(quant_inst,[status(thm)],[])).
% 1.38/1.63 tff(6872,plain,
% 1.38/1.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s7) | (~node4(s7))),
% 1.38/1.63 inference(modus_ponens,[status(thm)],[6871, 6870])).
% 1.38/1.63 tff(6873,plain,
% 1.38/1.63 (m_main_v_request(s7)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6872, 3141, 6869])).
% 1.38/1.63 tff(6874,plain,
% 1.38/1.63 (((~![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))),
% 1.38/1.63 inference(rewrite,[status(thm)],[])).
% 1.38/1.63 tff(6875,plain,
% 1.38/1.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s7, s8)) | node2(s7, s8))),
% 1.38/1.63 inference(quant_inst,[status(thm)],[])).
% 1.38/1.63 tff(6876,plain,
% 1.38/1.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s7, s8)) | node2(s7, s8)),
% 1.38/1.63 inference(modus_ponens,[status(thm)],[6875, 6874])).
% 1.38/1.63 tff(6877,plain,
% 1.38/1.63 (node2(s7, s8)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6876, 7, 2022])).
% 1.38/1.63 tff(6878,plain,
% 1.38/1.63 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.38/1.63 inference(rewrite,[status(thm)],[])).
% 1.38/1.63 tff(6879,plain,
% 1.38/1.63 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.38/1.63 inference(quant_inst,[status(thm)],[])).
% 1.38/1.63 tff(6880,plain,
% 1.38/1.63 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.38/1.63 inference(modus_ponens,[status(thm)],[6879, 6878])).
% 1.38/1.63 tff(6881,plain,
% 1.38/1.63 ((~m_main_v_state(s7, c_ready)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7))),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6880, 3175, 6877])).
% 1.38/1.63 tff(6882,plain,
% 1.38/1.63 (~m_main_v_state(s7, c_ready)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6881, 6873, 6868])).
% 1.38/1.63 tff(6883,plain,
% 1.38/1.63 (always3(s7)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2235, 595, 6869])).
% 1.38/1.63 tff(6884,plain,
% 1.38/1.63 (~m_main_v_state(s7, c_busy)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6610, 3154, 6883])).
% 1.38/1.63 tff(6885,plain,
% 1.38/1.63 (((~![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))),
% 1.38/1.63 inference(rewrite,[status(thm)],[])).
% 1.38/1.63 tff(6886,plain,
% 1.38/1.63 ((~![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))),
% 1.38/1.63 inference(quant_inst,[status(thm)],[])).
% 1.38/1.63 tff(6887,plain,
% 1.38/1.63 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s7, c_busy) | m_main_v_state(s7, c_ready)),
% 1.38/1.63 inference(modus_ponens,[status(thm)],[6886, 6885])).
% 1.38/1.63 tff(6888,plain,
% 1.38/1.63 ($false),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6887, 19, 6884, 6882])).
% 1.38/1.63 tff(6889,plain,((~node4(s7)) | m_main_v_state(s8, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.63 tff(6890,plain,
% 1.38/1.63 (m_main_v_state(s8, c_busy)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6889, 6867])).
% 1.38/1.63 tff(6891,plain,
% 1.38/1.63 ($false),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6562, 3154, 6532, 6890])).
% 1.38/1.63 tff(6892,plain,(xuntil6(s8)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.63 tff(6893,plain,
% 1.38/1.63 (until5(s9)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2265, 6892])).
% 1.38/1.63 tff(6894,assumption,(~xuntil6(s10)), introduced(assumption)).
% 1.38/1.63 tff(6895,plain,
% 1.38/1.63 (~always3(s9)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2002, 6198])).
% 1.38/1.63 tff(6896,plain,
% 1.38/1.63 (~node4(s9)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2269, 595, 6895])).
% 1.38/1.63 tff(6897,plain,
% 1.38/1.63 (~node4(s10)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2286, 595, 6198])).
% 1.38/1.63 tff(6898,plain,
% 1.38/1.63 (node4(s10) | (~until5(s10))),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2293, 614, 6894])).
% 1.38/1.63 tff(6899,plain,
% 1.38/1.63 (~until5(s10)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6898, 6897])).
% 1.38/1.63 tff(6900,plain,
% 1.38/1.63 (~xuntil6(s9)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2282, 6899])).
% 1.38/1.63 tff(6901,plain,
% 1.38/1.63 (~until5(s9)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2276, 614, 6900, 6896])).
% 1.38/1.63 tff(6902,plain,
% 1.38/1.63 (~xuntil6(s8)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2265, 6901])).
% 1.38/1.63 tff(6903,plain,
% 1.38/1.63 (~always3(s8)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2014, 6895])).
% 1.38/1.63 tff(6904,plain,
% 1.38/1.63 (~node4(s8)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2252, 595, 6903])).
% 1.38/1.63 tff(6905,plain,
% 1.38/1.63 (xuntil6(s8) | (~until5(s8))),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2259, 614, 6904])).
% 1.38/1.63 tff(6906,plain,
% 1.38/1.63 (~until5(s8)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6905, 6902])).
% 1.38/1.63 tff(6907,plain,
% 1.38/1.63 (~xuntil6(s7)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2248, 6906])).
% 1.38/1.63 tff(6908,plain,
% 1.38/1.63 (~always3(s7)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2026, 6903])).
% 1.38/1.63 tff(6909,plain,
% 1.38/1.63 (~node4(s7)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2235, 595, 6908])).
% 1.38/1.63 tff(6910,plain,
% 1.38/1.63 (xuntil6(s7) | (~until5(s7))),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2242, 614, 6909])).
% 1.38/1.63 tff(6911,plain,
% 1.38/1.63 (~until5(s7)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6910, 6907])).
% 1.38/1.63 tff(6912,plain,
% 1.38/1.63 (~xuntil6(s6)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2231, 6911])).
% 1.38/1.63 tff(6913,plain,
% 1.38/1.63 (~always3(s6)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2038, 6908])).
% 1.38/1.63 tff(6914,plain,
% 1.38/1.63 (~node4(s6)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2218, 595, 6913])).
% 1.38/1.63 tff(6915,plain,
% 1.38/1.63 (xuntil6(s6) | (~until5(s6))),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2225, 614, 6914])).
% 1.38/1.63 tff(6916,plain,
% 1.38/1.63 (~until5(s6)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6915, 6912])).
% 1.38/1.63 tff(6917,plain,
% 1.38/1.63 (~xuntil6(s5)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2214, 6916])).
% 1.38/1.63 tff(6918,plain,
% 1.38/1.63 (~always3(s5)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2050, 6913])).
% 1.38/1.63 tff(6919,plain,
% 1.38/1.63 (~always3(s4)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2062, 6918])).
% 1.38/1.63 tff(6920,plain,
% 1.38/1.63 (~always3(s3)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2074, 6919])).
% 1.38/1.63 tff(6921,plain,
% 1.38/1.63 (~always3(s2)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2086, 6920])).
% 1.38/1.63 tff(6922,plain,
% 1.38/1.63 (~always3(s1)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2098, 6921])).
% 1.38/1.63 tff(6923,plain,
% 1.38/1.63 (~node4(s1)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2102, 595, 6922])).
% 1.38/1.63 tff(6924,plain,
% 1.38/1.63 (~always3(s0)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2114, 6922])).
% 1.38/1.63 tff(6925,plain,
% 1.38/1.63 (~node4(s0)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2118, 595, 6924])).
% 1.38/1.63 tff(6926,plain,
% 1.38/1.63 (xuntil6(s0)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2129, 6925])).
% 1.38/1.63 tff(6927,plain,
% 1.38/1.63 (until5(s1)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2134, 6926])).
% 1.38/1.63 tff(6928,plain,
% 1.38/1.63 (xuntil6(s1)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2141, 614, 6927, 6923])).
% 1.38/1.63 tff(6929,plain,
% 1.38/1.63 (until5(s2)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2146, 6928])).
% 1.38/1.63 tff(6930,plain,
% 1.38/1.63 (~node4(s2)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2150, 595, 6921])).
% 1.38/1.63 tff(6931,plain,
% 1.38/1.63 (xuntil6(s2) | (~until5(s2))),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2157, 614, 6930])).
% 1.38/1.63 tff(6932,plain,
% 1.38/1.63 (xuntil6(s2)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6931, 6929])).
% 1.38/1.63 tff(6933,plain,
% 1.38/1.63 (until5(s3)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2163, 6932])).
% 1.38/1.63 tff(6934,plain,
% 1.38/1.63 (~node4(s3)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2167, 595, 6920])).
% 1.38/1.63 tff(6935,plain,
% 1.38/1.63 (xuntil6(s3) | (~until5(s3))),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2174, 614, 6934])).
% 1.38/1.63 tff(6936,plain,
% 1.38/1.63 (xuntil6(s3)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6935, 6933])).
% 1.38/1.63 tff(6937,plain,
% 1.38/1.63 (until5(s4)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2180, 6936])).
% 1.38/1.63 tff(6938,plain,
% 1.38/1.63 (~node4(s4)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2184, 595, 6919])).
% 1.38/1.63 tff(6939,plain,
% 1.38/1.63 (xuntil6(s4) | (~until5(s4))),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2191, 614, 6938])).
% 1.38/1.63 tff(6940,plain,
% 1.38/1.63 (xuntil6(s4)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6939, 6937])).
% 1.38/1.63 tff(6941,plain,
% 1.38/1.63 (until5(s5)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2197, 6940])).
% 1.38/1.63 tff(6942,plain,
% 1.38/1.63 (~node4(s5)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2201, 595, 6918])).
% 1.38/1.63 tff(6943,plain,
% 1.38/1.63 (xuntil6(s5) | (~until5(s5))),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2208, 614, 6942])).
% 1.38/1.63 tff(6944,plain,
% 1.38/1.63 ($false),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6943, 6941, 6917])).
% 1.38/1.63 tff(6945,plain,(always3(s10) | xuntil6(s10)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.63 tff(6946,plain,
% 1.38/1.63 (always3(s10)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6945, 6894])).
% 1.38/1.63 tff(6947,plain,
% 1.38/1.63 (always3(s11)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[1990, 6946])).
% 1.38/1.63 tff(6948,plain,
% 1.38/1.63 (((~![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)))),
% 1.38/1.63 inference(rewrite,[status(thm)],[])).
% 1.38/1.63 tff(6949,plain,
% 1.38/1.63 (((~m_main_v_state(s11, c_busy)) | (~always3(s11))) <=> ((~always3(s11)) | (~m_main_v_state(s11, c_busy)))),
% 1.38/1.63 inference(rewrite,[status(thm)],[])).
% 1.38/1.63 tff(6950,plain,
% 1.38/1.63 (((~![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))))),
% 1.38/1.63 inference(monotonicity,[status(thm)],[6949])).
% 1.38/1.63 tff(6951,plain,
% 1.38/1.63 (((~![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)))),
% 1.38/1.63 inference(transitivity,[status(thm)],[6950, 6948])).
% 1.38/1.63 tff(6952,plain,
% 1.38/1.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s11, c_busy)) | (~always3(s11)))),
% 1.38/1.63 inference(quant_inst,[status(thm)],[])).
% 1.38/1.63 tff(6953,plain,
% 1.38/1.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s11)) | (~m_main_v_state(s11, c_busy))),
% 1.38/1.63 inference(modus_ponens,[status(thm)],[6952, 6951])).
% 1.38/1.63 tff(6954,plain,
% 1.38/1.63 (~m_main_v_state(s11, c_busy)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6953, 3154, 6947])).
% 1.38/1.63 tff(6955,plain,
% 1.38/1.63 (((~![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)))),
% 1.38/1.63 inference(rewrite,[status(thm)],[])).
% 1.38/1.63 tff(6956,plain,
% 1.38/1.63 (((~m_main_v_state(s10, c_busy)) | (~always3(s10))) <=> ((~always3(s10)) | (~m_main_v_state(s10, c_busy)))),
% 1.38/1.63 inference(rewrite,[status(thm)],[])).
% 1.38/1.63 tff(6957,plain,
% 1.38/1.63 (((~![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))))),
% 1.38/1.63 inference(monotonicity,[status(thm)],[6956])).
% 1.38/1.63 tff(6958,plain,
% 1.38/1.63 (((~![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)))),
% 1.38/1.63 inference(transitivity,[status(thm)],[6957, 6955])).
% 1.38/1.63 tff(6959,plain,
% 1.38/1.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s10, c_busy)) | (~always3(s10)))),
% 1.38/1.63 inference(quant_inst,[status(thm)],[])).
% 1.38/1.63 tff(6960,plain,
% 1.38/1.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s10)) | (~m_main_v_state(s10, c_busy))),
% 1.38/1.63 inference(modus_ponens,[status(thm)],[6959, 6958])).
% 1.38/1.63 tff(6961,plain,
% 1.38/1.63 (~m_main_v_state(s10, c_busy)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6960, 3154, 6946])).
% 1.38/1.63 tff(6962,plain,
% 1.38/1.63 (((~![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))),
% 1.38/1.63 inference(rewrite,[status(thm)],[])).
% 1.38/1.63 tff(6963,plain,
% 1.38/1.63 ((~![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))),
% 1.38/1.63 inference(quant_inst,[status(thm)],[])).
% 1.38/1.63 tff(6964,plain,
% 1.38/1.63 ((~![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)),
% 1.38/1.63 inference(modus_ponens,[status(thm)],[6963, 6962])).
% 1.38/1.63 tff(6965,plain,
% 1.38/1.63 (m_main_v_state(s10, c_ready)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6964, 19, 6961])).
% 1.38/1.63 tff(6966,assumption,(~m_main_v_state(s10, c_busy)), introduced(assumption)).
% 1.38/1.63 tff(6967,assumption,(node4(s9)), introduced(assumption)).
% 1.38/1.63 tff(6968,plain,
% 1.38/1.63 (((~![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)))),
% 1.38/1.63 inference(rewrite,[status(thm)],[])).
% 1.38/1.63 tff(6969,plain,
% 1.38/1.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s9) | (~node4(s9)))),
% 1.38/1.63 inference(quant_inst,[status(thm)],[])).
% 1.38/1.63 tff(6970,plain,
% 1.38/1.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s9) | (~node4(s9))),
% 1.38/1.63 inference(modus_ponens,[status(thm)],[6969, 6968])).
% 1.38/1.63 tff(6971,plain,
% 1.38/1.63 (m_main_v_request(s9)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6970, 3141, 6967])).
% 1.38/1.63 tff(6972,plain,
% 1.38/1.63 (((~![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))),
% 1.38/1.63 inference(rewrite,[status(thm)],[])).
% 1.38/1.63 tff(6973,plain,
% 1.38/1.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s9, s10)) | node2(s9, s10))),
% 1.38/1.63 inference(quant_inst,[status(thm)],[])).
% 1.38/1.63 tff(6974,plain,
% 1.38/1.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s9, s10)) | node2(s9, s10)),
% 1.38/1.63 inference(modus_ponens,[status(thm)],[6973, 6972])).
% 1.38/1.63 tff(6975,plain,
% 1.38/1.63 (node2(s9, s10)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6974, 7, 1998])).
% 1.38/1.63 tff(6976,plain,
% 1.38/1.63 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.38/1.63 inference(rewrite,[status(thm)],[])).
% 1.38/1.63 tff(6977,plain,
% 1.38/1.63 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.38/1.63 inference(quant_inst,[status(thm)],[])).
% 1.38/1.63 tff(6978,plain,
% 1.38/1.63 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.38/1.63 inference(modus_ponens,[status(thm)],[6977, 6976])).
% 1.38/1.63 tff(6979,plain,
% 1.38/1.63 ((~m_main_v_state(s9, c_ready)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9))),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6978, 3175, 6975])).
% 1.38/1.63 tff(6980,plain,
% 1.38/1.63 (~m_main_v_state(s9, c_ready)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6979, 6971, 6966])).
% 1.38/1.63 tff(6981,plain,
% 1.38/1.63 (always3(s9)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2269, 595, 6967])).
% 1.38/1.63 tff(6982,plain,
% 1.38/1.63 (~m_main_v_state(s9, c_busy)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6539, 3154, 6981])).
% 1.38/1.63 tff(6983,plain,
% 1.38/1.63 (((~![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))),
% 1.38/1.63 inference(rewrite,[status(thm)],[])).
% 1.38/1.63 tff(6984,plain,
% 1.38/1.63 ((~![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))),
% 1.38/1.63 inference(quant_inst,[status(thm)],[])).
% 1.38/1.63 tff(6985,plain,
% 1.38/1.63 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s9, c_busy) | m_main_v_state(s9, c_ready)),
% 1.38/1.63 inference(modus_ponens,[status(thm)],[6984, 6983])).
% 1.38/1.63 tff(6986,plain,
% 1.38/1.63 ($false),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6985, 19, 6982, 6980])).
% 1.38/1.63 tff(6987,plain,((~node4(s9)) | m_main_v_state(s10, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.38/1.63 tff(6988,plain,
% 1.38/1.63 (~node4(s9)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6987, 6961])).
% 1.38/1.63 tff(6989,assumption,(until5(s9)), introduced(assumption)).
% 1.38/1.63 tff(6990,plain,
% 1.38/1.63 (xuntil6(s9) | node4(s9)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2276, 614, 6989])).
% 1.38/1.63 tff(6991,plain,
% 1.38/1.63 (xuntil6(s9)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6990, 6988])).
% 1.38/1.63 tff(6992,plain,
% 1.38/1.63 (until5(s10)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[2282, 6991])).
% 1.38/1.63 tff(6993,plain,
% 1.38/1.63 (node4(s10)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6898, 6992])).
% 1.38/1.63 tff(6994,plain,
% 1.38/1.63 (((~![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)))),
% 1.38/1.63 inference(rewrite,[status(thm)],[])).
% 1.38/1.63 tff(6995,plain,
% 1.38/1.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s10) | (~node4(s10)))),
% 1.38/1.63 inference(quant_inst,[status(thm)],[])).
% 1.38/1.63 tff(6996,plain,
% 1.38/1.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s10) | (~node4(s10))),
% 1.38/1.63 inference(modus_ponens,[status(thm)],[6995, 6994])).
% 1.38/1.63 tff(6997,plain,
% 1.38/1.63 (m_main_v_request(s10)),
% 1.38/1.63 inference(unit_resolution,[status(thm)],[6996, 3141, 6993])).
% 1.47/1.63 tff(6998,plain,
% 1.47/1.63 (((~![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))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(6999,plain,
% 1.47/1.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s10, s11)) | node2(s10, s11))),
% 1.47/1.63 inference(quant_inst,[status(thm)],[])).
% 1.47/1.63 tff(7000,plain,
% 1.47/1.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s10, s11)) | node2(s10, s11)),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[6999, 6998])).
% 1.47/1.63 tff(7001,plain,
% 1.47/1.63 (node2(s10, s11)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7000, 7, 1986])).
% 1.47/1.63 tff(7002,plain,
% 1.47/1.63 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(7003,plain,
% 1.47/1.63 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.63 inference(quant_inst,[status(thm)],[])).
% 1.47/1.63 tff(7004,plain,
% 1.47/1.63 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s10, c_ready)) | (~node2(s10, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10))),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[7003, 7002])).
% 1.47/1.63 tff(7005,plain,
% 1.47/1.63 ((~m_main_v_state(s10, c_ready)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7004, 3175, 7001])).
% 1.47/1.63 tff(7006,plain,
% 1.47/1.63 ($false),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7005, 6997, 6965, 6954])).
% 1.47/1.63 tff(7007,plain,(xuntil6(s10) | (~until5(s9))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.63 tff(7008,plain,
% 1.47/1.63 (xuntil6(s10)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7007, 6893])).
% 1.47/1.63 tff(7009,plain,
% 1.47/1.63 (until5(s11)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2299, 7008])).
% 1.47/1.63 tff(7010,assumption,(~xuntil6(s12)), introduced(assumption)).
% 1.47/1.63 tff(7011,plain,
% 1.47/1.63 (~always3(s11)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[1978, 6209])).
% 1.47/1.63 tff(7012,plain,
% 1.47/1.63 (~node4(s11)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2303, 595, 7011])).
% 1.47/1.63 tff(7013,plain,
% 1.47/1.63 (~node4(s12)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2320, 595, 6209])).
% 1.47/1.63 tff(7014,plain,
% 1.47/1.63 (node4(s12) | (~until5(s12))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2327, 614, 7010])).
% 1.47/1.63 tff(7015,plain,
% 1.47/1.63 (~until5(s12)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7014, 7013])).
% 1.47/1.63 tff(7016,plain,
% 1.47/1.63 (~xuntil6(s11)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2316, 7015])).
% 1.47/1.63 tff(7017,plain,
% 1.47/1.63 (~until5(s11)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2310, 614, 7016, 7012])).
% 1.47/1.63 tff(7018,plain,
% 1.47/1.63 (~xuntil6(s10)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2299, 7017])).
% 1.47/1.63 tff(7019,plain,
% 1.47/1.63 (~always3(s10)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[1990, 7011])).
% 1.47/1.63 tff(7020,plain,
% 1.47/1.63 (~node4(s10)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2286, 595, 7019])).
% 1.47/1.63 tff(7021,plain,
% 1.47/1.63 (xuntil6(s10) | (~until5(s10))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2293, 614, 7020])).
% 1.47/1.63 tff(7022,plain,
% 1.47/1.63 (~until5(s10)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7021, 7018])).
% 1.47/1.63 tff(7023,plain,
% 1.47/1.63 (~xuntil6(s9)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2282, 7022])).
% 1.47/1.63 tff(7024,plain,
% 1.47/1.63 (~always3(s9)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2002, 7019])).
% 1.47/1.63 tff(7025,plain,
% 1.47/1.63 (~node4(s9)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2269, 595, 7024])).
% 1.47/1.63 tff(7026,plain,
% 1.47/1.63 (xuntil6(s9) | (~until5(s9))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2276, 614, 7025])).
% 1.47/1.63 tff(7027,plain,
% 1.47/1.63 (~until5(s9)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7026, 7023])).
% 1.47/1.63 tff(7028,plain,
% 1.47/1.63 (~xuntil6(s8)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2265, 7027])).
% 1.47/1.63 tff(7029,plain,
% 1.47/1.63 (~always3(s8)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2014, 7024])).
% 1.47/1.63 tff(7030,plain,
% 1.47/1.63 (~node4(s8)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2252, 595, 7029])).
% 1.47/1.63 tff(7031,plain,
% 1.47/1.63 (xuntil6(s8) | (~until5(s8))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2259, 614, 7030])).
% 1.47/1.63 tff(7032,plain,
% 1.47/1.63 (~until5(s8)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7031, 7028])).
% 1.47/1.63 tff(7033,plain,
% 1.47/1.63 (~xuntil6(s7)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2248, 7032])).
% 1.47/1.63 tff(7034,plain,
% 1.47/1.63 (~always3(s7)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2026, 7029])).
% 1.47/1.63 tff(7035,plain,
% 1.47/1.63 (~node4(s7)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2235, 595, 7034])).
% 1.47/1.63 tff(7036,plain,
% 1.47/1.63 (xuntil6(s7) | (~until5(s7))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2242, 614, 7035])).
% 1.47/1.63 tff(7037,plain,
% 1.47/1.63 (~until5(s7)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7036, 7033])).
% 1.47/1.63 tff(7038,plain,
% 1.47/1.63 (~xuntil6(s6)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2231, 7037])).
% 1.47/1.63 tff(7039,plain,
% 1.47/1.63 (~always3(s6)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2038, 7034])).
% 1.47/1.63 tff(7040,plain,
% 1.47/1.63 (~always3(s5)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2050, 7039])).
% 1.47/1.63 tff(7041,plain,
% 1.47/1.63 (~always3(s4)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2062, 7040])).
% 1.47/1.63 tff(7042,plain,
% 1.47/1.63 (~always3(s3)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2074, 7041])).
% 1.47/1.63 tff(7043,plain,
% 1.47/1.63 (~always3(s2)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2086, 7042])).
% 1.47/1.63 tff(7044,plain,
% 1.47/1.63 (~always3(s1)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2098, 7043])).
% 1.47/1.63 tff(7045,plain,
% 1.47/1.63 (~node4(s1)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2102, 595, 7044])).
% 1.47/1.63 tff(7046,plain,
% 1.47/1.63 (~always3(s0)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2114, 7044])).
% 1.47/1.63 tff(7047,plain,
% 1.47/1.63 (~node4(s0)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2118, 595, 7046])).
% 1.47/1.63 tff(7048,plain,
% 1.47/1.63 (xuntil6(s0)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2129, 7047])).
% 1.47/1.63 tff(7049,plain,
% 1.47/1.63 (until5(s1)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2134, 7048])).
% 1.47/1.63 tff(7050,plain,
% 1.47/1.63 (xuntil6(s1)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2141, 614, 7049, 7045])).
% 1.47/1.63 tff(7051,plain,
% 1.47/1.63 (until5(s2)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2146, 7050])).
% 1.47/1.63 tff(7052,plain,
% 1.47/1.63 (~node4(s2)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2150, 595, 7043])).
% 1.47/1.63 tff(7053,plain,
% 1.47/1.63 (xuntil6(s2) | (~until5(s2))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2157, 614, 7052])).
% 1.47/1.63 tff(7054,plain,
% 1.47/1.63 (xuntil6(s2)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7053, 7051])).
% 1.47/1.63 tff(7055,plain,
% 1.47/1.63 (until5(s3)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2163, 7054])).
% 1.47/1.63 tff(7056,plain,
% 1.47/1.63 (~node4(s3)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2167, 595, 7042])).
% 1.47/1.63 tff(7057,plain,
% 1.47/1.63 (xuntil6(s3) | (~until5(s3))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2174, 614, 7056])).
% 1.47/1.63 tff(7058,plain,
% 1.47/1.63 (xuntil6(s3)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7057, 7055])).
% 1.47/1.63 tff(7059,plain,
% 1.47/1.63 (until5(s4)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2180, 7058])).
% 1.47/1.63 tff(7060,plain,
% 1.47/1.63 (~node4(s4)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2184, 595, 7041])).
% 1.47/1.63 tff(7061,plain,
% 1.47/1.63 (xuntil6(s4) | (~until5(s4))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2191, 614, 7060])).
% 1.47/1.63 tff(7062,plain,
% 1.47/1.63 (xuntil6(s4)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7061, 7059])).
% 1.47/1.63 tff(7063,plain,
% 1.47/1.63 (until5(s5)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2197, 7062])).
% 1.47/1.63 tff(7064,plain,
% 1.47/1.63 (~node4(s5)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2201, 595, 7040])).
% 1.47/1.63 tff(7065,plain,
% 1.47/1.63 (xuntil6(s5) | (~until5(s5))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2208, 614, 7064])).
% 1.47/1.63 tff(7066,plain,
% 1.47/1.63 (xuntil6(s5)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7065, 7063])).
% 1.47/1.63 tff(7067,plain,
% 1.47/1.63 (until5(s6)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2214, 7066])).
% 1.47/1.63 tff(7068,plain,
% 1.47/1.63 (~node4(s6)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2218, 595, 7039])).
% 1.47/1.63 tff(7069,plain,
% 1.47/1.63 (xuntil6(s6) | (~until5(s6))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2225, 614, 7068])).
% 1.47/1.63 tff(7070,plain,
% 1.47/1.63 ($false),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7069, 7067, 7038])).
% 1.47/1.63 tff(7071,plain,(always3(s12) | xuntil6(s12)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.63 tff(7072,plain,
% 1.47/1.63 (always3(s12)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7071, 7010])).
% 1.47/1.63 tff(7073,plain,
% 1.47/1.63 (always3(s13)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[1966, 7072])).
% 1.47/1.63 tff(7074,plain,
% 1.47/1.63 (~m_main_v_state(s13, c_busy)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[4492, 3154, 7073])).
% 1.47/1.63 tff(7075,plain,
% 1.47/1.63 (((~![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)))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(7076,plain,
% 1.47/1.63 (((~m_main_v_state(s12, c_busy)) | (~always3(s12))) <=> ((~always3(s12)) | (~m_main_v_state(s12, c_busy)))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(7077,plain,
% 1.47/1.63 (((~![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))))),
% 1.47/1.63 inference(monotonicity,[status(thm)],[7076])).
% 1.47/1.63 tff(7078,plain,
% 1.47/1.63 (((~![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)))),
% 1.47/1.63 inference(transitivity,[status(thm)],[7077, 7075])).
% 1.47/1.63 tff(7079,plain,
% 1.47/1.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s12, c_busy)) | (~always3(s12)))),
% 1.47/1.63 inference(quant_inst,[status(thm)],[])).
% 1.47/1.63 tff(7080,plain,
% 1.47/1.63 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s12)) | (~m_main_v_state(s12, c_busy))),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[7079, 7078])).
% 1.47/1.63 tff(7081,plain,
% 1.47/1.63 (~m_main_v_state(s12, c_busy)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7080, 3154, 7072])).
% 1.47/1.63 tff(7082,plain,
% 1.47/1.63 (((~![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))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(7083,plain,
% 1.47/1.63 ((~![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))),
% 1.47/1.63 inference(quant_inst,[status(thm)],[])).
% 1.47/1.63 tff(7084,plain,
% 1.47/1.63 ((~![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)),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[7083, 7082])).
% 1.47/1.63 tff(7085,plain,
% 1.47/1.63 (m_main_v_state(s12, c_ready)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7084, 19, 7081])).
% 1.47/1.63 tff(7086,assumption,(~m_main_v_state(s12, c_busy)), introduced(assumption)).
% 1.47/1.63 tff(7087,assumption,(node4(s11)), introduced(assumption)).
% 1.47/1.63 tff(7088,plain,
% 1.47/1.63 (((~![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)))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(7089,plain,
% 1.47/1.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s11) | (~node4(s11)))),
% 1.47/1.63 inference(quant_inst,[status(thm)],[])).
% 1.47/1.63 tff(7090,plain,
% 1.47/1.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s11) | (~node4(s11))),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[7089, 7088])).
% 1.47/1.63 tff(7091,plain,
% 1.47/1.63 (m_main_v_request(s11)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7090, 3141, 7087])).
% 1.47/1.63 tff(7092,plain,
% 1.47/1.63 (((~![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))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(7093,plain,
% 1.47/1.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s11, s12)) | node2(s11, s12))),
% 1.47/1.63 inference(quant_inst,[status(thm)],[])).
% 1.47/1.63 tff(7094,plain,
% 1.47/1.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s11, s12)) | node2(s11, s12)),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[7093, 7092])).
% 1.47/1.63 tff(7095,plain,
% 1.47/1.63 (node2(s11, s12)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7094, 7, 1974])).
% 1.47/1.63 tff(7096,plain,
% 1.47/1.63 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(7097,plain,
% 1.47/1.63 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.63 inference(quant_inst,[status(thm)],[])).
% 1.47/1.63 tff(7098,plain,
% 1.47/1.63 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[7097, 7096])).
% 1.47/1.63 tff(7099,plain,
% 1.47/1.63 ((~m_main_v_state(s11, c_ready)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7098, 3175, 7095])).
% 1.47/1.63 tff(7100,plain,
% 1.47/1.63 (~m_main_v_state(s11, c_ready)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7099, 7091, 7086])).
% 1.47/1.63 tff(7101,plain,
% 1.47/1.63 (always3(s11)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2303, 595, 7087])).
% 1.47/1.63 tff(7102,plain,
% 1.47/1.63 (~m_main_v_state(s11, c_busy)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[6953, 3154, 7101])).
% 1.47/1.63 tff(7103,plain,
% 1.47/1.63 (((~![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))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(7104,plain,
% 1.47/1.63 ((~![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))),
% 1.47/1.63 inference(quant_inst,[status(thm)],[])).
% 1.47/1.63 tff(7105,plain,
% 1.47/1.63 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s11, c_busy) | m_main_v_state(s11, c_ready)),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[7104, 7103])).
% 1.47/1.63 tff(7106,plain,
% 1.47/1.63 ($false),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7105, 19, 7102, 7100])).
% 1.47/1.63 tff(7107,plain,((~node4(s11)) | m_main_v_state(s12, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.63 tff(7108,plain,
% 1.47/1.63 (~node4(s11)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7107, 7081])).
% 1.47/1.63 tff(7109,assumption,(until5(s11)), introduced(assumption)).
% 1.47/1.63 tff(7110,plain,
% 1.47/1.63 (xuntil6(s11) | node4(s11)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2310, 614, 7109])).
% 1.47/1.63 tff(7111,plain,
% 1.47/1.63 (xuntil6(s11)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7110, 7108])).
% 1.47/1.63 tff(7112,plain,
% 1.47/1.63 (until5(s12)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2316, 7111])).
% 1.47/1.63 tff(7113,plain,
% 1.47/1.63 (node4(s12)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7014, 7112])).
% 1.47/1.63 tff(7114,plain,
% 1.47/1.63 (((~![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)))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(7115,plain,
% 1.47/1.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s12) | (~node4(s12)))),
% 1.47/1.63 inference(quant_inst,[status(thm)],[])).
% 1.47/1.63 tff(7116,plain,
% 1.47/1.63 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s12) | (~node4(s12))),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[7115, 7114])).
% 1.47/1.63 tff(7117,plain,
% 1.47/1.63 (m_main_v_request(s12)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7116, 3141, 7113])).
% 1.47/1.63 tff(7118,plain,
% 1.47/1.63 (((~![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))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(7119,plain,
% 1.47/1.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s12, s13)) | node2(s12, s13))),
% 1.47/1.63 inference(quant_inst,[status(thm)],[])).
% 1.47/1.63 tff(7120,plain,
% 1.47/1.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s12, s13)) | node2(s12, s13)),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[7119, 7118])).
% 1.47/1.63 tff(7121,plain,
% 1.47/1.63 (node2(s12, s13)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7120, 7, 1962])).
% 1.47/1.63 tff(7122,plain,
% 1.47/1.63 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.63 inference(rewrite,[status(thm)],[])).
% 1.47/1.63 tff(7123,plain,
% 1.47/1.63 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.63 inference(quant_inst,[status(thm)],[])).
% 1.47/1.63 tff(7124,plain,
% 1.47/1.63 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s12, c_ready)) | (~node2(s12, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12))),
% 1.47/1.63 inference(modus_ponens,[status(thm)],[7123, 7122])).
% 1.47/1.63 tff(7125,plain,
% 1.47/1.63 ((~m_main_v_state(s12, c_ready)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7124, 3175, 7121])).
% 1.47/1.63 tff(7126,plain,
% 1.47/1.63 ($false),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7125, 7117, 7085, 7074])).
% 1.47/1.63 tff(7127,plain,(xuntil6(s12) | (~until5(s11))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.63 tff(7128,plain,
% 1.47/1.63 (xuntil6(s12)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7127, 7009])).
% 1.47/1.63 tff(7129,plain,
% 1.47/1.63 (until5(s13)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2333, 7128])).
% 1.47/1.63 tff(7130,plain,
% 1.47/1.63 (xuntil6(s13) | (~until5(s13))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2344, 614, 4498])).
% 1.47/1.63 tff(7131,plain,
% 1.47/1.63 (xuntil6(s13)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7130, 7129])).
% 1.47/1.63 tff(7132,plain,
% 1.47/1.63 (until5(s14)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2350, 7131])).
% 1.47/1.63 tff(7133,assumption,(~xuntil6(s15)), introduced(assumption)).
% 1.47/1.63 tff(7134,plain,
% 1.47/1.63 (~always3(s14)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[1942, 5933])).
% 1.47/1.63 tff(7135,plain,
% 1.47/1.63 (~node4(s14)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2354, 595, 7134])).
% 1.47/1.63 tff(7136,plain,
% 1.47/1.63 (~node4(s15)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2371, 595, 5933])).
% 1.47/1.63 tff(7137,plain,
% 1.47/1.63 (node4(s15) | (~until5(s15))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2378, 614, 7133])).
% 1.47/1.63 tff(7138,plain,
% 1.47/1.63 (~until5(s15)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7137, 7136])).
% 1.47/1.63 tff(7139,plain,
% 1.47/1.63 (~xuntil6(s14)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2367, 7138])).
% 1.47/1.63 tff(7140,plain,
% 1.47/1.63 (~until5(s14)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2361, 614, 7139, 7135])).
% 1.47/1.63 tff(7141,plain,
% 1.47/1.63 (~xuntil6(s13)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2350, 7140])).
% 1.47/1.63 tff(7142,plain,
% 1.47/1.63 (~always3(s13)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[1954, 7134])).
% 1.47/1.63 tff(7143,plain,
% 1.47/1.63 (~node4(s13)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2337, 595, 7142])).
% 1.47/1.63 tff(7144,plain,
% 1.47/1.63 (xuntil6(s13) | (~until5(s13))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2344, 614, 7143])).
% 1.47/1.63 tff(7145,plain,
% 1.47/1.63 (~until5(s13)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7144, 7141])).
% 1.47/1.63 tff(7146,plain,
% 1.47/1.63 (~xuntil6(s12)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2333, 7145])).
% 1.47/1.63 tff(7147,plain,
% 1.47/1.63 (~always3(s12)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[1966, 7142])).
% 1.47/1.63 tff(7148,plain,
% 1.47/1.63 (~node4(s12)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2320, 595, 7147])).
% 1.47/1.63 tff(7149,plain,
% 1.47/1.63 (xuntil6(s12) | (~until5(s12))),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2327, 614, 7148])).
% 1.47/1.63 tff(7150,plain,
% 1.47/1.63 (~until5(s12)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[7149, 7146])).
% 1.47/1.63 tff(7151,plain,
% 1.47/1.63 (~xuntil6(s11)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[2316, 7150])).
% 1.47/1.63 tff(7152,plain,
% 1.47/1.63 (~always3(s11)),
% 1.47/1.63 inference(unit_resolution,[status(thm)],[1978, 7147])).
% 1.47/1.64 tff(7153,plain,
% 1.47/1.64 (~node4(s11)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2303, 595, 7152])).
% 1.47/1.64 tff(7154,plain,
% 1.47/1.64 (xuntil6(s11) | (~until5(s11))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2310, 614, 7153])).
% 1.47/1.64 tff(7155,plain,
% 1.47/1.64 (~until5(s11)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7154, 7151])).
% 1.47/1.64 tff(7156,plain,
% 1.47/1.64 (~xuntil6(s10)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2299, 7155])).
% 1.47/1.64 tff(7157,plain,
% 1.47/1.64 (~always3(s10)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1990, 7152])).
% 1.47/1.64 tff(7158,plain,
% 1.47/1.64 (~node4(s10)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2286, 595, 7157])).
% 1.47/1.64 tff(7159,plain,
% 1.47/1.64 (xuntil6(s10) | (~until5(s10))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2293, 614, 7158])).
% 1.47/1.64 tff(7160,plain,
% 1.47/1.64 (~until5(s10)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7159, 7156])).
% 1.47/1.64 tff(7161,plain,
% 1.47/1.64 (~xuntil6(s9)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2282, 7160])).
% 1.47/1.64 tff(7162,plain,
% 1.47/1.64 (~always3(s9)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2002, 7157])).
% 1.47/1.64 tff(7163,plain,
% 1.47/1.64 (~node4(s9)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2269, 595, 7162])).
% 1.47/1.64 tff(7164,plain,
% 1.47/1.64 (xuntil6(s9) | (~until5(s9))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2276, 614, 7163])).
% 1.47/1.64 tff(7165,plain,
% 1.47/1.64 (~until5(s9)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7164, 7161])).
% 1.47/1.64 tff(7166,plain,
% 1.47/1.64 (~xuntil6(s8)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2265, 7165])).
% 1.47/1.64 tff(7167,plain,
% 1.47/1.64 (~always3(s8)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2014, 7162])).
% 1.47/1.64 tff(7168,plain,
% 1.47/1.64 (~node4(s8)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2252, 595, 7167])).
% 1.47/1.64 tff(7169,plain,
% 1.47/1.64 (xuntil6(s8) | (~until5(s8))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2259, 614, 7168])).
% 1.47/1.64 tff(7170,plain,
% 1.47/1.64 (~until5(s8)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7169, 7166])).
% 1.47/1.64 tff(7171,plain,
% 1.47/1.64 (~always3(s7)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2026, 7167])).
% 1.47/1.64 tff(7172,plain,
% 1.47/1.64 (~always3(s6)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2038, 7171])).
% 1.47/1.64 tff(7173,plain,
% 1.47/1.64 (~always3(s5)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2050, 7172])).
% 1.47/1.64 tff(7174,plain,
% 1.47/1.64 (~always3(s4)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2062, 7173])).
% 1.47/1.64 tff(7175,plain,
% 1.47/1.64 (~always3(s3)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2074, 7174])).
% 1.47/1.64 tff(7176,plain,
% 1.47/1.64 (~always3(s2)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2086, 7175])).
% 1.47/1.64 tff(7177,plain,
% 1.47/1.64 (~always3(s1)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2098, 7176])).
% 1.47/1.64 tff(7178,plain,
% 1.47/1.64 (~node4(s1)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2102, 595, 7177])).
% 1.47/1.64 tff(7179,plain,
% 1.47/1.64 (~always3(s0)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2114, 7177])).
% 1.47/1.64 tff(7180,plain,
% 1.47/1.64 (~node4(s0)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2118, 595, 7179])).
% 1.47/1.64 tff(7181,plain,
% 1.47/1.64 (xuntil6(s0)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2129, 7180])).
% 1.47/1.64 tff(7182,plain,
% 1.47/1.64 (until5(s1)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2134, 7181])).
% 1.47/1.64 tff(7183,plain,
% 1.47/1.64 (xuntil6(s1)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2141, 614, 7182, 7178])).
% 1.47/1.64 tff(7184,plain,
% 1.47/1.64 (until5(s2)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2146, 7183])).
% 1.47/1.64 tff(7185,plain,
% 1.47/1.64 (~node4(s2)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2150, 595, 7176])).
% 1.47/1.64 tff(7186,plain,
% 1.47/1.64 (xuntil6(s2) | (~until5(s2))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2157, 614, 7185])).
% 1.47/1.64 tff(7187,plain,
% 1.47/1.64 (xuntil6(s2)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7186, 7184])).
% 1.47/1.64 tff(7188,plain,
% 1.47/1.64 (until5(s3)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2163, 7187])).
% 1.47/1.64 tff(7189,plain,
% 1.47/1.64 (~node4(s3)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2167, 595, 7175])).
% 1.47/1.64 tff(7190,plain,
% 1.47/1.64 (xuntil6(s3) | (~until5(s3))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2174, 614, 7189])).
% 1.47/1.64 tff(7191,plain,
% 1.47/1.64 (xuntil6(s3)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7190, 7188])).
% 1.47/1.64 tff(7192,plain,
% 1.47/1.64 (until5(s4)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2180, 7191])).
% 1.47/1.64 tff(7193,plain,
% 1.47/1.64 (~node4(s4)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2184, 595, 7174])).
% 1.47/1.64 tff(7194,plain,
% 1.47/1.64 (xuntil6(s4) | (~until5(s4))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2191, 614, 7193])).
% 1.47/1.64 tff(7195,plain,
% 1.47/1.64 (xuntil6(s4)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7194, 7192])).
% 1.47/1.64 tff(7196,plain,
% 1.47/1.64 (until5(s5)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2197, 7195])).
% 1.47/1.64 tff(7197,plain,
% 1.47/1.64 (~node4(s5)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2201, 595, 7173])).
% 1.47/1.64 tff(7198,plain,
% 1.47/1.64 (xuntil6(s5) | (~until5(s5))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2208, 614, 7197])).
% 1.47/1.64 tff(7199,plain,
% 1.47/1.64 (xuntil6(s5)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7198, 7196])).
% 1.47/1.64 tff(7200,plain,
% 1.47/1.64 (until5(s6)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2214, 7199])).
% 1.47/1.64 tff(7201,plain,
% 1.47/1.64 (~node4(s6)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2218, 595, 7172])).
% 1.47/1.64 tff(7202,plain,
% 1.47/1.64 (xuntil6(s6) | (~until5(s6))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2225, 614, 7201])).
% 1.47/1.64 tff(7203,plain,
% 1.47/1.64 (xuntil6(s6)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7202, 7200])).
% 1.47/1.64 tff(7204,plain,
% 1.47/1.64 (until5(s7)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2231, 7203])).
% 1.47/1.64 tff(7205,plain,
% 1.47/1.64 (~node4(s7)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2235, 595, 7171])).
% 1.47/1.64 tff(7206,plain,
% 1.47/1.64 (xuntil6(s7) | (~until5(s7))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2242, 614, 7205])).
% 1.47/1.64 tff(7207,plain,
% 1.47/1.64 (xuntil6(s7)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7206, 7204])).
% 1.47/1.64 tff(7208,plain,
% 1.47/1.64 ($false),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2248, 7207, 7170])).
% 1.47/1.64 tff(7209,plain,(always3(s15) | xuntil6(s15)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.64 tff(7210,plain,
% 1.47/1.64 (always3(s15)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7209, 7133])).
% 1.47/1.64 tff(7211,plain,
% 1.47/1.64 (always3(s16)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[438, 7210])).
% 1.47/1.64 tff(7212,plain,
% 1.47/1.64 (~m_main_v_state(s16, c_busy)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[4278, 3154, 7211])).
% 1.47/1.64 tff(7213,plain,
% 1.47/1.64 (((~![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)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7214,plain,
% 1.47/1.64 (((~m_main_v_state(s15, c_busy)) | (~always3(s15))) <=> ((~always3(s15)) | (~m_main_v_state(s15, c_busy)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7215,plain,
% 1.47/1.64 (((~![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))))),
% 1.47/1.64 inference(monotonicity,[status(thm)],[7214])).
% 1.47/1.64 tff(7216,plain,
% 1.47/1.64 (((~![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)))),
% 1.47/1.64 inference(transitivity,[status(thm)],[7215, 7213])).
% 1.47/1.64 tff(7217,plain,
% 1.47/1.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s15, c_busy)) | (~always3(s15)))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7218,plain,
% 1.47/1.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s15)) | (~m_main_v_state(s15, c_busy))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7217, 7216])).
% 1.47/1.64 tff(7219,plain,
% 1.47/1.64 (~m_main_v_state(s15, c_busy)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7218, 3154, 7210])).
% 1.47/1.64 tff(7220,plain,
% 1.47/1.64 (((~![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))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7221,plain,
% 1.47/1.64 ((~![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))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7222,plain,
% 1.47/1.64 ((~![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)),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7221, 7220])).
% 1.47/1.64 tff(7223,plain,
% 1.47/1.64 (m_main_v_state(s15, c_ready)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7222, 19, 7219])).
% 1.47/1.64 tff(7224,assumption,(~m_main_v_state(s15, c_busy)), introduced(assumption)).
% 1.47/1.64 tff(7225,assumption,(node4(s14)), introduced(assumption)).
% 1.47/1.64 tff(7226,plain,
% 1.47/1.64 (((~![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)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7227,plain,
% 1.47/1.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s14) | (~node4(s14)))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7228,plain,
% 1.47/1.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s14) | (~node4(s14))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7227, 7226])).
% 1.47/1.64 tff(7229,plain,
% 1.47/1.64 (m_main_v_request(s14)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7228, 3141, 7225])).
% 1.47/1.64 tff(7230,plain,
% 1.47/1.64 (((~![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))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7231,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s14, s15)) | node2(s14, s15))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7232,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s14, s15)) | node2(s14, s15)),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7231, 7230])).
% 1.47/1.64 tff(7233,plain,
% 1.47/1.64 (node2(s14, s15)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7232, 7, 1938])).
% 1.47/1.64 tff(7234,plain,
% 1.47/1.64 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7235,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7236,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7235, 7234])).
% 1.47/1.64 tff(7237,plain,
% 1.47/1.64 ((~m_main_v_state(s14, c_ready)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7236, 3175, 7233])).
% 1.47/1.64 tff(7238,plain,
% 1.47/1.64 (~m_main_v_state(s14, c_ready)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7237, 7229, 7224])).
% 1.47/1.64 tff(7239,plain,
% 1.47/1.64 (always3(s14)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2354, 595, 7225])).
% 1.47/1.64 tff(7240,plain,
% 1.47/1.64 (~m_main_v_state(s14, c_busy)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[4476, 3154, 7239])).
% 1.47/1.64 tff(7241,plain,
% 1.47/1.64 (((~![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))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7242,plain,
% 1.47/1.64 ((~![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))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7243,plain,
% 1.47/1.64 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s14, c_busy) | m_main_v_state(s14, c_ready)),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7242, 7241])).
% 1.47/1.64 tff(7244,plain,
% 1.47/1.64 ($false),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7243, 19, 7240, 7238])).
% 1.47/1.64 tff(7245,plain,((~node4(s14)) | m_main_v_state(s15, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.64 tff(7246,plain,
% 1.47/1.64 (~node4(s14)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7245, 7219])).
% 1.47/1.64 tff(7247,assumption,(until5(s14)), introduced(assumption)).
% 1.47/1.64 tff(7248,plain,
% 1.47/1.64 (xuntil6(s14) | node4(s14)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2361, 614, 7247])).
% 1.47/1.64 tff(7249,plain,
% 1.47/1.64 (xuntil6(s14)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7248, 7246])).
% 1.47/1.64 tff(7250,plain,
% 1.47/1.64 (until5(s15)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2367, 7249])).
% 1.47/1.64 tff(7251,plain,
% 1.47/1.64 (node4(s15)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7137, 7250])).
% 1.47/1.64 tff(7252,plain,
% 1.47/1.64 (((~![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)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7253,plain,
% 1.47/1.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s15) | (~node4(s15)))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7254,plain,
% 1.47/1.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s15) | (~node4(s15))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7253, 7252])).
% 1.47/1.64 tff(7255,plain,
% 1.47/1.64 (m_main_v_request(s15)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7254, 3141, 7251])).
% 1.47/1.64 tff(7256,plain,
% 1.47/1.64 (((~![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))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7257,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s15, s16)) | node2(s15, s16))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7258,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s15, s16)) | node2(s15, s16)),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7257, 7256])).
% 1.47/1.64 tff(7259,plain,
% 1.47/1.64 (node2(s15, s16)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7258, 7, 434])).
% 1.47/1.64 tff(7260,plain,
% 1.47/1.64 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7261,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7262,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7261, 7260])).
% 1.47/1.64 tff(7263,plain,
% 1.47/1.64 ((~m_main_v_state(s15, c_ready)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7262, 3175, 7259])).
% 1.47/1.64 tff(7264,plain,
% 1.47/1.64 ($false),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7263, 7255, 7223, 7212])).
% 1.47/1.64 tff(7265,plain,(xuntil6(s15) | (~until5(s14))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.64 tff(7266,plain,
% 1.47/1.64 (xuntil6(s15)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7265, 7132])).
% 1.47/1.64 tff(7267,plain,
% 1.47/1.64 (until5(s16)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2384, 7266])).
% 1.47/1.64 tff(7268,assumption,(until5(s16)), introduced(assumption)).
% 1.47/1.64 tff(7269,assumption,(~xuntil6(s17)), introduced(assumption)).
% 1.47/1.64 tff(7270,plain,
% 1.47/1.64 (~node4(s17)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2405, 595, 6376])).
% 1.47/1.64 tff(7271,plain,
% 1.47/1.64 (node4(s17) | (~until5(s17))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2412, 614, 7269])).
% 1.47/1.64 tff(7272,plain,
% 1.47/1.64 (~until5(s17)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7271, 7270])).
% 1.47/1.64 tff(7273,plain,
% 1.47/1.64 (~always3(s16)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[426, 6376])).
% 1.47/1.64 tff(7274,plain,
% 1.47/1.64 (~node4(s16)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2388, 595, 7273])).
% 1.47/1.64 tff(7275,plain,
% 1.47/1.64 (xuntil6(s16) | node4(s16)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2395, 614, 7268])).
% 1.47/1.64 tff(7276,plain,
% 1.47/1.64 (xuntil6(s16)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7275, 7274])).
% 1.47/1.64 tff(7277,plain,
% 1.47/1.64 ($false),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2401, 7276, 7272])).
% 1.47/1.64 tff(7278,plain,(always3(s17) | (~until5(s16)) | xuntil6(s17)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.64 tff(7279,plain,
% 1.47/1.64 (always3(s17)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7278, 7269, 7268])).
% 1.47/1.64 tff(7280,plain,
% 1.47/1.64 (~m_main_v_state(s17, c_busy)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[4262, 3154, 7279])).
% 1.47/1.64 tff(7281,plain,
% 1.47/1.64 (always3(s18)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[414, 7279])).
% 1.47/1.64 tff(7282,plain,
% 1.47/1.64 (((~![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)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7283,plain,
% 1.47/1.64 (((~m_main_v_state(s18, c_busy)) | (~always3(s18))) <=> ((~always3(s18)) | (~m_main_v_state(s18, c_busy)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7284,plain,
% 1.47/1.64 (((~![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))))),
% 1.47/1.64 inference(monotonicity,[status(thm)],[7283])).
% 1.47/1.64 tff(7285,plain,
% 1.47/1.64 (((~![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)))),
% 1.47/1.64 inference(transitivity,[status(thm)],[7284, 7282])).
% 1.47/1.64 tff(7286,plain,
% 1.47/1.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s18, c_busy)) | (~always3(s18)))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7287,plain,
% 1.47/1.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s18)) | (~m_main_v_state(s18, c_busy))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7286, 7285])).
% 1.47/1.64 tff(7288,plain,
% 1.47/1.64 (~m_main_v_state(s18, c_busy)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7287, 3154, 7281])).
% 1.47/1.64 tff(7289,plain,
% 1.47/1.64 (((~![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))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7290,plain,
% 1.47/1.64 ((~![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))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7291,plain,
% 1.47/1.64 ((~![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)),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7290, 7289])).
% 1.47/1.64 tff(7292,plain,
% 1.47/1.64 (m_main_v_state(s17, c_ready)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7291, 19, 7280])).
% 1.47/1.64 tff(7293,plain,
% 1.47/1.64 (((~![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))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7294,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s17, s18)) | node2(s17, s18))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7295,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s17, s18)) | node2(s17, s18)),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7294, 7293])).
% 1.47/1.64 tff(7296,plain,
% 1.47/1.64 (node2(s17, s18)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7295, 7, 410])).
% 1.47/1.64 tff(7297,plain,
% 1.47/1.64 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7298,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7299,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7298, 7297])).
% 1.47/1.64 tff(7300,plain,
% 1.47/1.64 ((~m_main_v_state(s17, c_ready)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7299, 3175, 7296])).
% 1.47/1.64 tff(7301,plain,
% 1.47/1.64 (~m_main_v_request(s17)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7300, 7292, 7288])).
% 1.47/1.64 tff(7302,plain,
% 1.47/1.64 (((~![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)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7303,plain,
% 1.47/1.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s17) | (~node4(s17)))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7304,plain,
% 1.47/1.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s17) | (~node4(s17))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7303, 7302])).
% 1.47/1.64 tff(7305,plain,
% 1.47/1.64 (~node4(s17)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7304, 3141, 7301])).
% 1.47/1.64 tff(7306,plain,
% 1.47/1.64 (~until5(s17)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7271, 7305])).
% 1.47/1.64 tff(7307,plain,
% 1.47/1.64 (~xuntil6(s16)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2401, 7306])).
% 1.47/1.64 tff(7308,plain,
% 1.47/1.64 (node4(s16)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7275, 7307])).
% 1.47/1.64 tff(7309,plain,
% 1.47/1.64 (m_main_v_request(s16)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[4253, 3141, 7308])).
% 1.47/1.64 tff(7310,plain,
% 1.47/1.64 (~m_main_v_state(s16, c_ready)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[4271, 7309, 7280])).
% 1.47/1.64 tff(7311,plain,
% 1.47/1.64 (always3(s16)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2388, 595, 7308])).
% 1.47/1.64 tff(7312,plain,
% 1.47/1.64 (~m_main_v_state(s16, c_busy)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[4278, 3154, 7311])).
% 1.47/1.64 tff(7313,plain,
% 1.47/1.64 ($false),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[4282, 19, 7312, 7310])).
% 1.47/1.64 tff(7314,plain,(xuntil6(s17) | (~until5(s16))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.64 tff(7315,plain,
% 1.47/1.64 (xuntil6(s17)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7314, 7267])).
% 1.47/1.64 tff(7316,plain,
% 1.47/1.64 (until5(s18)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1927, 7315])).
% 1.47/1.64 tff(7317,assumption,(~xuntil6(s18)), introduced(assumption)).
% 1.47/1.64 tff(7318,plain,
% 1.47/1.64 (~always3(s17)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[414, 6220])).
% 1.47/1.64 tff(7319,plain,
% 1.47/1.64 (~always3(s16)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[426, 7318])).
% 1.47/1.64 tff(7320,plain,
% 1.47/1.64 (~always3(s15)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[438, 7319])).
% 1.47/1.64 tff(7321,plain,
% 1.47/1.64 (xuntil6(s15)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7209, 7320])).
% 1.47/1.64 tff(7322,plain,
% 1.47/1.64 (until5(s16)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[2384, 7321])).
% 1.47/1.64 tff(7323,plain,
% 1.47/1.64 (xuntil6(s17)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7314, 7322])).
% 1.47/1.64 tff(7324,plain,
% 1.47/1.64 (until5(s18)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1927, 7323])).
% 1.47/1.64 tff(7325,plain,
% 1.47/1.64 (node4(s18) | (~until5(s18))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1921, 614, 7317])).
% 1.47/1.64 tff(7326,plain,
% 1.47/1.64 (node4(s18)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7325, 7324])).
% 1.47/1.64 tff(7327,plain,
% 1.47/1.64 ($false),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1914, 595, 6220, 7326])).
% 1.47/1.64 tff(7328,plain,(always3(s18) | xuntil6(s18)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.64 tff(7329,plain,
% 1.47/1.64 (always3(s18)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7328, 7317])).
% 1.47/1.64 tff(7330,plain,
% 1.47/1.64 (always3(s19)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[402, 7329])).
% 1.47/1.64 tff(7331,plain,
% 1.47/1.64 (((~![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)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7332,plain,
% 1.47/1.64 (((~m_main_v_state(s19, c_busy)) | (~always3(s19))) <=> ((~always3(s19)) | (~m_main_v_state(s19, c_busy)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7333,plain,
% 1.47/1.64 (((~![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))))),
% 1.47/1.64 inference(monotonicity,[status(thm)],[7332])).
% 1.47/1.64 tff(7334,plain,
% 1.47/1.64 (((~![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)))),
% 1.47/1.64 inference(transitivity,[status(thm)],[7333, 7331])).
% 1.47/1.64 tff(7335,plain,
% 1.47/1.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s19, c_busy)) | (~always3(s19)))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7336,plain,
% 1.47/1.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s19)) | (~m_main_v_state(s19, c_busy))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7335, 7334])).
% 1.47/1.64 tff(7337,plain,
% 1.47/1.64 (~m_main_v_state(s19, c_busy)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7336, 3154, 7330])).
% 1.47/1.64 tff(7338,assumption,(until5(s18)), introduced(assumption)).
% 1.47/1.64 tff(7339,plain,
% 1.47/1.64 (xuntil6(s18) | node4(s18)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1921, 614, 7338])).
% 1.47/1.64 tff(7340,plain,
% 1.47/1.64 (node4(s18)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7339, 7317])).
% 1.47/1.64 tff(7341,plain,
% 1.47/1.64 (((~![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)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7342,plain,
% 1.47/1.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s18) | (~node4(s18)))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7343,plain,
% 1.47/1.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s18) | (~node4(s18))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7342, 7341])).
% 1.47/1.64 tff(7344,plain,
% 1.47/1.64 (m_main_v_request(s18)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7343, 3141, 7340])).
% 1.47/1.64 tff(7345,plain,
% 1.47/1.64 (((~![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))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7346,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s18, s19)) | node2(s18, s19))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7347,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s18, s19)) | node2(s18, s19)),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7346, 7345])).
% 1.47/1.64 tff(7348,plain,
% 1.47/1.64 (node2(s18, s19)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7347, 7, 398])).
% 1.47/1.64 tff(7349,plain,
% 1.47/1.64 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7350,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7351,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7350, 7349])).
% 1.47/1.64 tff(7352,plain,
% 1.47/1.64 ((~m_main_v_state(s18, c_ready)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7351, 3175, 7348])).
% 1.47/1.64 tff(7353,plain,
% 1.47/1.64 (~m_main_v_state(s18, c_ready)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7352, 7344, 7337])).
% 1.47/1.64 tff(7354,plain,
% 1.47/1.64 (~m_main_v_state(s18, c_busy)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7287, 3154, 7329])).
% 1.47/1.64 tff(7355,plain,
% 1.47/1.64 (((~![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))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7356,plain,
% 1.47/1.64 ((~![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))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7357,plain,
% 1.47/1.64 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s18, c_busy) | m_main_v_state(s18, c_ready)),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7356, 7355])).
% 1.47/1.64 tff(7358,plain,
% 1.47/1.64 ($false),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7357, 19, 7354, 7353])).
% 1.47/1.64 tff(7359,plain,(xuntil6(s18) | (~until5(s18))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.64 tff(7360,plain,
% 1.47/1.64 (xuntil6(s18)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7359, 7316])).
% 1.47/1.64 tff(7361,plain,
% 1.47/1.64 (until5(s19)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1909, 7360])).
% 1.47/1.64 tff(7362,assumption,(until5(s19)), introduced(assumption)).
% 1.47/1.64 tff(7363,assumption,(~xuntil6(s22)), introduced(assumption)).
% 1.47/1.64 tff(7364,assumption,(until5(s22)), introduced(assumption)).
% 1.47/1.64 tff(7365,assumption,(~m_main_v_state(s23, c_busy)), introduced(assumption)).
% 1.47/1.64 tff(7366,plain,
% 1.47/1.64 (xuntil6(s22) | node4(s22)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1849, 614, 7364])).
% 1.47/1.64 tff(7367,plain,
% 1.47/1.64 (node4(s22)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7366, 7363])).
% 1.47/1.64 tff(7368,plain,
% 1.47/1.64 (((~![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)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7369,plain,
% 1.47/1.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s22) | (~node4(s22)))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7370,plain,
% 1.47/1.64 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s22) | (~node4(s22))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7369, 7368])).
% 1.47/1.64 tff(7371,plain,
% 1.47/1.64 (m_main_v_request(s22)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7370, 3141, 7367])).
% 1.47/1.64 tff(7372,plain,
% 1.47/1.64 (((~![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))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7373,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s22, s23)) | node2(s22, s23))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7374,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s22, s23)) | node2(s22, s23)),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7373, 7372])).
% 1.47/1.64 tff(7375,plain,
% 1.47/1.64 (node2(s22, s23)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7374, 7, 350])).
% 1.47/1.64 tff(7376,plain,
% 1.47/1.64 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7377,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7378,plain,
% 1.47/1.64 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7377, 7376])).
% 1.47/1.64 tff(7379,plain,
% 1.47/1.64 ((~m_main_v_state(s22, c_ready)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7378, 3175, 7375])).
% 1.47/1.64 tff(7380,plain,
% 1.47/1.64 (~m_main_v_state(s22, c_ready)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7379, 7371, 7365])).
% 1.47/1.64 tff(7381,plain,
% 1.47/1.64 (~always3(s21)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[366, 6100])).
% 1.47/1.64 tff(7382,plain,
% 1.47/1.64 (~node4(s21)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1860, 595, 7381])).
% 1.47/1.64 tff(7383,plain,
% 1.47/1.64 (~node4(s22)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1842, 595, 6100])).
% 1.47/1.64 tff(7384,plain,
% 1.47/1.64 (node4(s22) | (~until5(s22))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1849, 614, 7363])).
% 1.47/1.64 tff(7385,plain,
% 1.47/1.64 (~until5(s22)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7384, 7383])).
% 1.47/1.64 tff(7386,plain,
% 1.47/1.64 (~xuntil6(s21)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1855, 7385])).
% 1.47/1.64 tff(7387,plain,
% 1.47/1.64 (~until5(s21)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1867, 614, 7386, 7382])).
% 1.47/1.64 tff(7388,plain,
% 1.47/1.64 (~always3(s20)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[378, 7381])).
% 1.47/1.64 tff(7389,plain,
% 1.47/1.64 (~node4(s20)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1878, 595, 7388])).
% 1.47/1.64 tff(7390,plain,
% 1.47/1.64 (~always3(s19)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[390, 7388])).
% 1.47/1.64 tff(7391,plain,
% 1.47/1.64 (~node4(s19)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1896, 595, 7390])).
% 1.47/1.64 tff(7392,plain,
% 1.47/1.64 (xuntil6(s19) | node4(s19)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1903, 614, 7362])).
% 1.47/1.64 tff(7393,plain,
% 1.47/1.64 (xuntil6(s19)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7392, 7391])).
% 1.47/1.64 tff(7394,plain,
% 1.47/1.64 (until5(s20)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1891, 7393])).
% 1.47/1.64 tff(7395,plain,
% 1.47/1.64 (xuntil6(s20)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1885, 614, 7394, 7389])).
% 1.47/1.64 tff(7396,plain,
% 1.47/1.64 ($false),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1873, 7395, 7387])).
% 1.47/1.64 tff(7397,plain,(always3(s22) | (~until5(s19)) | xuntil6(s22)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.64 tff(7398,plain,
% 1.47/1.64 (always3(s22)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7397, 7363, 7362])).
% 1.47/1.64 tff(7399,plain,
% 1.47/1.64 (((~![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)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7400,plain,
% 1.47/1.64 (((~m_main_v_state(s22, c_busy)) | (~always3(s22))) <=> ((~always3(s22)) | (~m_main_v_state(s22, c_busy)))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7401,plain,
% 1.47/1.64 (((~![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))))),
% 1.47/1.64 inference(monotonicity,[status(thm)],[7400])).
% 1.47/1.64 tff(7402,plain,
% 1.47/1.64 (((~![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)))),
% 1.47/1.64 inference(transitivity,[status(thm)],[7401, 7399])).
% 1.47/1.64 tff(7403,plain,
% 1.47/1.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s22, c_busy)) | (~always3(s22)))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7404,plain,
% 1.47/1.64 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s22)) | (~m_main_v_state(s22, c_busy))),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7403, 7402])).
% 1.47/1.64 tff(7405,plain,
% 1.47/1.64 (~m_main_v_state(s22, c_busy)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7404, 3154, 7398])).
% 1.47/1.64 tff(7406,plain,
% 1.47/1.64 (((~![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))),
% 1.47/1.64 inference(rewrite,[status(thm)],[])).
% 1.47/1.64 tff(7407,plain,
% 1.47/1.64 ((~![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))),
% 1.47/1.64 inference(quant_inst,[status(thm)],[])).
% 1.47/1.64 tff(7408,plain,
% 1.47/1.64 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s22, c_busy) | m_main_v_state(s22, c_ready)),
% 1.47/1.64 inference(modus_ponens,[status(thm)],[7407, 7406])).
% 1.47/1.64 tff(7409,plain,
% 1.47/1.64 ($false),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7408, 19, 7405, 7380])).
% 1.47/1.64 tff(7410,plain,(xuntil6(s22) | m_main_v_state(s23, c_busy) | (~until5(s22)) | (~until5(s19))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.64 tff(7411,plain,
% 1.47/1.64 (m_main_v_state(s23, c_busy)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7410, 7363, 7364, 7362])).
% 1.47/1.64 tff(7412,plain,
% 1.47/1.64 (always3(s23)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[354, 7398])).
% 1.47/1.64 tff(7413,plain,
% 1.47/1.64 ($false),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[4160, 3154, 7412, 7411])).
% 1.47/1.64 tff(7414,plain,(xuntil6(s22) | (~until5(s22)) | (~until5(s19))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.64 tff(7415,plain,
% 1.47/1.64 (~until5(s22)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[7414, 7363, 7362])).
% 1.47/1.64 tff(7416,plain,
% 1.47/1.64 (~xuntil6(s21)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1855, 7415])).
% 1.47/1.64 tff(7417,assumption,(~xuntil6(s20)), introduced(assumption)).
% 1.47/1.64 tff(7418,plain,
% 1.47/1.64 (~node4(s20)),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1878, 595, 6165])).
% 1.47/1.64 tff(7419,plain,
% 1.47/1.64 (node4(s20) | (~until5(s20))),
% 1.47/1.64 inference(unit_resolution,[status(thm)],[1885, 614, 7417])).
% 1.47/1.64 tff(7420,plain,
% 1.47/1.64 (~until5(s20)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7419, 7418])).
% 1.47/1.65 tff(7421,plain,
% 1.47/1.65 (~always3(s19)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[390, 6165])).
% 1.47/1.65 tff(7422,plain,
% 1.47/1.65 (~node4(s19)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1896, 595, 7421])).
% 1.47/1.65 tff(7423,plain,
% 1.47/1.65 (xuntil6(s19)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7392, 7422])).
% 1.47/1.65 tff(7424,plain,
% 1.47/1.65 ($false),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1891, 7423, 7420])).
% 1.47/1.65 tff(7425,plain,(always3(s20) | (~until5(s19)) | xuntil6(s20)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.65 tff(7426,plain,
% 1.47/1.65 (always3(s20)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7425, 7417, 7362])).
% 1.47/1.65 tff(7427,plain,
% 1.47/1.65 (((~![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)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7428,plain,
% 1.47/1.65 (((~m_main_v_state(s20, c_busy)) | (~always3(s20))) <=> ((~always3(s20)) | (~m_main_v_state(s20, c_busy)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7429,plain,
% 1.47/1.65 (((~![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))))),
% 1.47/1.65 inference(monotonicity,[status(thm)],[7428])).
% 1.47/1.65 tff(7430,plain,
% 1.47/1.65 (((~![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)))),
% 1.47/1.65 inference(transitivity,[status(thm)],[7429, 7427])).
% 1.47/1.65 tff(7431,plain,
% 1.47/1.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s20, c_busy)) | (~always3(s20)))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7432,plain,
% 1.47/1.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s20)) | (~m_main_v_state(s20, c_busy))),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7431, 7430])).
% 1.47/1.65 tff(7433,plain,
% 1.47/1.65 (~m_main_v_state(s20, c_busy)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7432, 3154, 7426])).
% 1.47/1.65 tff(7434,plain,
% 1.47/1.65 (always3(s21)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[378, 7426])).
% 1.47/1.65 tff(7435,plain,
% 1.47/1.65 (((~![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)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7436,plain,
% 1.47/1.65 (((~m_main_v_state(s21, c_busy)) | (~always3(s21))) <=> ((~always3(s21)) | (~m_main_v_state(s21, c_busy)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7437,plain,
% 1.47/1.65 (((~![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))))),
% 1.47/1.65 inference(monotonicity,[status(thm)],[7436])).
% 1.47/1.65 tff(7438,plain,
% 1.47/1.65 (((~![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)))),
% 1.47/1.65 inference(transitivity,[status(thm)],[7437, 7435])).
% 1.47/1.65 tff(7439,plain,
% 1.47/1.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s21, c_busy)) | (~always3(s21)))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7440,plain,
% 1.47/1.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s21)) | (~m_main_v_state(s21, c_busy))),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7439, 7438])).
% 1.47/1.65 tff(7441,plain,
% 1.47/1.65 (~m_main_v_state(s21, c_busy)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7440, 3154, 7434])).
% 1.47/1.65 tff(7442,plain,
% 1.47/1.65 (((~![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))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7443,plain,
% 1.47/1.65 ((~![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))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7444,plain,
% 1.47/1.65 ((~![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)),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7443, 7442])).
% 1.47/1.65 tff(7445,plain,
% 1.47/1.65 (m_main_v_state(s20, c_ready)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7444, 19, 7433])).
% 1.47/1.65 tff(7446,plain,
% 1.47/1.65 (((~![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))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7447,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s20, s21)) | node2(s20, s21))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7448,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s20, s21)) | node2(s20, s21)),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7447, 7446])).
% 1.47/1.65 tff(7449,plain,
% 1.47/1.65 (node2(s20, s21)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7448, 7, 374])).
% 1.47/1.65 tff(7450,plain,
% 1.47/1.65 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7451,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7452,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7451, 7450])).
% 1.47/1.65 tff(7453,plain,
% 1.47/1.65 ((~m_main_v_state(s20, c_ready)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20))),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7452, 3175, 7449])).
% 1.47/1.65 tff(7454,plain,
% 1.47/1.65 (~m_main_v_request(s20)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7453, 7445, 7441])).
% 1.47/1.65 tff(7455,plain,
% 1.47/1.65 (((~![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)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7456,plain,
% 1.47/1.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s20) | (~node4(s20)))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7457,plain,
% 1.47/1.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s20) | (~node4(s20))),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7456, 7455])).
% 1.47/1.65 tff(7458,plain,
% 1.47/1.65 (~node4(s20)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7457, 3141, 7454])).
% 1.47/1.65 tff(7459,plain,
% 1.47/1.65 (~until5(s20)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7419, 7458])).
% 1.47/1.65 tff(7460,plain,
% 1.47/1.65 (~xuntil6(s19)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1891, 7459])).
% 1.47/1.65 tff(7461,plain,
% 1.47/1.65 (node4(s19)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7392, 7460])).
% 1.47/1.65 tff(7462,plain,
% 1.47/1.65 (((~![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)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7463,plain,
% 1.47/1.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s19) | (~node4(s19)))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7464,plain,
% 1.47/1.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s19) | (~node4(s19))),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7463, 7462])).
% 1.47/1.65 tff(7465,plain,
% 1.47/1.65 (m_main_v_request(s19)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7464, 3141, 7461])).
% 1.47/1.65 tff(7466,plain,
% 1.47/1.65 (((~![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))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7467,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s19, s20)) | node2(s19, s20))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7468,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s19, s20)) | node2(s19, s20)),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7467, 7466])).
% 1.47/1.65 tff(7469,plain,
% 1.47/1.65 (node2(s19, s20)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7468, 7, 386])).
% 1.47/1.65 tff(7470,plain,
% 1.47/1.65 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7471,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7472,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7471, 7470])).
% 1.47/1.65 tff(7473,plain,
% 1.47/1.65 ((~m_main_v_state(s19, c_ready)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19))),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7472, 3175, 7469])).
% 1.47/1.65 tff(7474,plain,
% 1.47/1.65 (~m_main_v_state(s19, c_ready)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7473, 7465, 7433])).
% 1.47/1.65 tff(7475,plain,
% 1.47/1.65 (always3(s19)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1896, 595, 7461])).
% 1.47/1.65 tff(7476,plain,
% 1.47/1.65 (~m_main_v_state(s19, c_busy)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7336, 3154, 7475])).
% 1.47/1.65 tff(7477,plain,
% 1.47/1.65 (((~![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))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7478,plain,
% 1.47/1.65 ((~![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))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7479,plain,
% 1.47/1.65 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s19, c_busy) | m_main_v_state(s19, c_ready)),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7478, 7477])).
% 1.47/1.65 tff(7480,plain,
% 1.47/1.65 ($false),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7479, 19, 7476, 7474])).
% 1.47/1.65 tff(7481,plain,(xuntil6(s20) | (~until5(s19))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.65 tff(7482,plain,
% 1.47/1.65 (xuntil6(s20)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7481, 7362])).
% 1.47/1.65 tff(7483,plain,
% 1.47/1.65 (until5(s21)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1873, 7482])).
% 1.47/1.65 tff(7484,plain,
% 1.47/1.65 (xuntil6(s21) | node4(s21)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1867, 614, 7483])).
% 1.47/1.65 tff(7485,plain,
% 1.47/1.65 (node4(s21)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7484, 7416])).
% 1.47/1.65 tff(7486,assumption,(~m_main_v_state(s22, c_busy)), introduced(assumption)).
% 1.47/1.65 tff(7487,assumption,(node4(s21)), introduced(assumption)).
% 1.47/1.65 tff(7488,plain,
% 1.47/1.65 (((~![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)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7489,plain,
% 1.47/1.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s21) | (~node4(s21)))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7490,plain,
% 1.47/1.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s21) | (~node4(s21))),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7489, 7488])).
% 1.47/1.65 tff(7491,plain,
% 1.47/1.65 (m_main_v_request(s21)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7490, 3141, 7487])).
% 1.47/1.65 tff(7492,plain,
% 1.47/1.65 (((~![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))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7493,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s21, s22)) | node2(s21, s22))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7494,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s21, s22)) | node2(s21, s22)),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7493, 7492])).
% 1.47/1.65 tff(7495,plain,
% 1.47/1.65 (node2(s21, s22)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7494, 7, 362])).
% 1.47/1.65 tff(7496,plain,
% 1.47/1.65 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7497,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7498,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 1.47/1.65 tff(7499,plain,
% 1.47/1.65 ((~m_main_v_state(s21, c_ready)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21))),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7498, 3175, 7495])).
% 1.47/1.65 tff(7500,plain,
% 1.47/1.65 (~m_main_v_state(s21, c_ready)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7499, 7491, 7486])).
% 1.47/1.65 tff(7501,plain,
% 1.47/1.65 (always3(s21)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1860, 595, 7487])).
% 1.47/1.65 tff(7502,plain,
% 1.47/1.65 (~m_main_v_state(s21, c_busy)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7440, 3154, 7501])).
% 1.47/1.65 tff(7503,plain,
% 1.47/1.65 (((~![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))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7504,plain,
% 1.47/1.65 ((~![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))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7505,plain,
% 1.47/1.65 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s21, c_busy) | m_main_v_state(s21, c_ready)),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7504, 7503])).
% 1.47/1.65 tff(7506,plain,
% 1.47/1.65 ($false),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7505, 19, 7502, 7500])).
% 1.47/1.65 tff(7507,plain,((~node4(s21)) | m_main_v_state(s22, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.65 tff(7508,plain,
% 1.47/1.65 (m_main_v_state(s22, c_busy)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7507, 7485])).
% 1.47/1.65 tff(7509,plain,
% 1.47/1.65 (~until5(s19)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7397, 6100, 7363])).
% 1.47/1.65 tff(7510,plain,
% 1.47/1.65 (~xuntil6(s18)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1909, 7509])).
% 1.47/1.65 tff(7511,plain,
% 1.47/1.65 (~always3(s18)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[402, 7390])).
% 1.47/1.65 tff(7512,plain,
% 1.47/1.65 (~always3(s17)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[414, 7511])).
% 1.47/1.65 tff(7513,plain,
% 1.47/1.65 (~always3(s16)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[426, 7512])).
% 1.47/1.65 tff(7514,plain,
% 1.47/1.65 (~always3(s15)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[438, 7513])).
% 1.47/1.65 tff(7515,plain,
% 1.47/1.65 (xuntil6(s15)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7209, 7514])).
% 1.47/1.65 tff(7516,plain,
% 1.47/1.65 (until5(s16)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[2384, 7515])).
% 1.47/1.65 tff(7517,plain,
% 1.47/1.65 (xuntil6(s17)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7314, 7516])).
% 1.47/1.65 tff(7518,plain,
% 1.47/1.65 (until5(s18)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1927, 7517])).
% 1.47/1.65 tff(7519,plain,
% 1.47/1.65 (node4(s18)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1921, 614, 7518, 7510])).
% 1.47/1.65 tff(7520,plain,
% 1.47/1.65 ($false),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1914, 595, 7511, 7519])).
% 1.47/1.65 tff(7521,plain,(always3(s22) | xuntil6(s22)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.65 tff(7522,plain,
% 1.47/1.65 (always3(s22)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7521, 7363])).
% 1.47/1.65 tff(7523,plain,
% 1.47/1.65 ($false),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7404, 3154, 7522, 7508])).
% 1.47/1.65 tff(7524,plain,(xuntil6(s22) | (~until5(s19))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.65 tff(7525,plain,
% 1.47/1.65 (xuntil6(s22)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7524, 7361])).
% 1.47/1.65 tff(7526,plain,
% 1.47/1.65 (until5(s23)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1837, 7525])).
% 1.47/1.65 tff(7527,plain,
% 1.47/1.65 (xuntil6(s23) | (~until5(s23))),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1831, 614, 4166])).
% 1.47/1.65 tff(7528,plain,
% 1.47/1.65 (xuntil6(s23)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7527, 7526])).
% 1.47/1.65 tff(7529,plain,
% 1.47/1.65 (until5(s24)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1819, 7528])).
% 1.47/1.65 tff(7530,assumption,(node4(s24)), introduced(assumption)).
% 1.47/1.65 tff(7531,plain,
% 1.47/1.65 (always3(s24)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1806, 595, 7530])).
% 1.47/1.65 tff(7532,assumption,(~m_main_v_state(s25, c_busy)), introduced(assumption)).
% 1.47/1.65 tff(7533,plain,
% 1.47/1.65 (((~![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)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7534,plain,
% 1.47/1.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s24) | (~node4(s24)))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7535,plain,
% 1.47/1.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s24) | (~node4(s24))),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7534, 7533])).
% 1.47/1.65 tff(7536,plain,
% 1.47/1.65 (m_main_v_request(s24)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7535, 3141, 7530])).
% 1.47/1.65 tff(7537,plain,
% 1.47/1.65 (((~![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))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7538,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s24, s25)) | node2(s24, s25))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7539,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s24, s25)) | node2(s24, s25)),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7538, 7537])).
% 1.47/1.65 tff(7540,plain,
% 1.47/1.65 (node2(s24, s25)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7539, 7, 326])).
% 1.47/1.65 tff(7541,plain,
% 1.47/1.65 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7542,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7543,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7542, 7541])).
% 1.47/1.65 tff(7544,plain,
% 1.47/1.65 ((~m_main_v_state(s24, c_ready)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24))),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7543, 3175, 7540])).
% 1.47/1.65 tff(7545,plain,
% 1.47/1.65 (~m_main_v_state(s24, c_ready)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7544, 7536, 7532])).
% 1.47/1.65 tff(7546,plain,
% 1.47/1.65 (~m_main_v_state(s24, c_busy)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[4144, 3154, 7531])).
% 1.47/1.65 tff(7547,plain,
% 1.47/1.65 (((~![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))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7548,plain,
% 1.47/1.65 ((~![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))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7549,plain,
% 1.47/1.65 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s24, c_busy) | m_main_v_state(s24, c_ready)),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7548, 7547])).
% 1.47/1.65 tff(7550,plain,
% 1.47/1.65 ($false),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7549, 19, 7546, 7545])).
% 1.47/1.65 tff(7551,plain,((~node4(s24)) | m_main_v_state(s25, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.65 tff(7552,plain,
% 1.47/1.65 (m_main_v_state(s25, c_busy)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7551, 7530])).
% 1.47/1.65 tff(7553,plain,
% 1.47/1.65 (((~![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)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7554,plain,
% 1.47/1.65 (((~m_main_v_state(s25, c_busy)) | (~always3(s25))) <=> ((~always3(s25)) | (~m_main_v_state(s25, c_busy)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7555,plain,
% 1.47/1.65 (((~![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))))),
% 1.47/1.65 inference(monotonicity,[status(thm)],[7554])).
% 1.47/1.65 tff(7556,plain,
% 1.47/1.65 (((~![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)))),
% 1.47/1.65 inference(transitivity,[status(thm)],[7555, 7553])).
% 1.47/1.65 tff(7557,plain,
% 1.47/1.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s25, c_busy)) | (~always3(s25)))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7558,plain,
% 1.47/1.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s25)) | (~m_main_v_state(s25, c_busy))),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7557, 7556])).
% 1.47/1.65 tff(7559,plain,
% 1.47/1.65 (~always3(s25)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7558, 3154, 7552])).
% 1.47/1.65 tff(7560,plain,
% 1.47/1.65 ($false),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[330, 7559, 7531])).
% 1.47/1.65 tff(7561,plain,(~node4(s24)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.65 tff(7562,plain,
% 1.47/1.65 (xuntil6(s24) | (~until5(s24))),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1813, 614, 7561])).
% 1.47/1.65 tff(7563,plain,
% 1.47/1.65 (xuntil6(s24)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7562, 7529])).
% 1.47/1.65 tff(7564,plain,
% 1.47/1.65 (until5(s25)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1801, 7563])).
% 1.47/1.65 tff(7565,assumption,(~xuntil6(s26)), introduced(assumption)).
% 1.47/1.65 tff(7566,plain,
% 1.47/1.65 (~always3(s25)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[318, 6242])).
% 1.47/1.65 tff(7567,plain,
% 1.47/1.65 (~node4(s25)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1788, 595, 7566])).
% 1.47/1.65 tff(7568,plain,
% 1.47/1.65 (~node4(s26)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1770, 595, 6242])).
% 1.47/1.65 tff(7569,plain,
% 1.47/1.65 (node4(s26) | (~until5(s26))),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1777, 614, 7565])).
% 1.47/1.65 tff(7570,plain,
% 1.47/1.65 (~until5(s26)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7569, 7568])).
% 1.47/1.65 tff(7571,plain,
% 1.47/1.65 (~xuntil6(s25)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1783, 7570])).
% 1.47/1.65 tff(7572,plain,
% 1.47/1.65 (~until5(s25)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1795, 614, 7571, 7567])).
% 1.47/1.65 tff(7573,plain,
% 1.47/1.65 (~xuntil6(s24)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1801, 7572])).
% 1.47/1.65 tff(7574,plain,
% 1.47/1.65 (~always3(s24)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[330, 7566])).
% 1.47/1.65 tff(7575,plain,
% 1.47/1.65 (~node4(s24)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1806, 595, 7574])).
% 1.47/1.65 tff(7576,plain,
% 1.47/1.65 (xuntil6(s24) | (~until5(s24))),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1813, 614, 7575])).
% 1.47/1.65 tff(7577,plain,
% 1.47/1.65 (~until5(s24)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7576, 7573])).
% 1.47/1.65 tff(7578,plain,
% 1.47/1.65 (~xuntil6(s23)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1819, 7577])).
% 1.47/1.65 tff(7579,plain,
% 1.47/1.65 (~always3(s23)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[342, 7574])).
% 1.47/1.65 tff(7580,plain,
% 1.47/1.65 (~node4(s23)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1824, 595, 7579])).
% 1.47/1.65 tff(7581,plain,
% 1.47/1.65 (xuntil6(s23) | (~until5(s23))),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1831, 614, 7580])).
% 1.47/1.65 tff(7582,plain,
% 1.47/1.65 (~until5(s23)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7581, 7578])).
% 1.47/1.65 tff(7583,plain,
% 1.47/1.65 (~xuntil6(s22)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1837, 7582])).
% 1.47/1.65 tff(7584,plain,
% 1.47/1.65 (~always3(s22)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[354, 7579])).
% 1.47/1.65 tff(7585,plain,
% 1.47/1.65 (~node4(s22)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1842, 595, 7584])).
% 1.47/1.65 tff(7586,plain,
% 1.47/1.65 (xuntil6(s22) | (~until5(s22))),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1849, 614, 7585])).
% 1.47/1.65 tff(7587,plain,
% 1.47/1.65 (~until5(s22)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7586, 7583])).
% 1.47/1.65 tff(7588,plain,
% 1.47/1.65 (~xuntil6(s21)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1855, 7587])).
% 1.47/1.65 tff(7589,plain,
% 1.47/1.65 (~always3(s21)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[366, 7584])).
% 1.47/1.65 tff(7590,plain,
% 1.47/1.65 (~always3(s20)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[378, 7589])).
% 1.47/1.65 tff(7591,plain,
% 1.47/1.65 (~always3(s19)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[390, 7590])).
% 1.47/1.65 tff(7592,plain,
% 1.47/1.65 (~always3(s18)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[402, 7591])).
% 1.47/1.65 tff(7593,plain,
% 1.47/1.65 (~always3(s17)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[414, 7592])).
% 1.47/1.65 tff(7594,plain,
% 1.47/1.65 (~node4(s17)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[2405, 595, 7593])).
% 1.47/1.65 tff(7595,plain,
% 1.47/1.65 (~always3(s16)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[426, 7593])).
% 1.47/1.65 tff(7596,plain,
% 1.47/1.65 (~node4(s16)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[2388, 595, 7595])).
% 1.47/1.65 tff(7597,plain,
% 1.47/1.65 (~always3(s15)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[438, 7595])).
% 1.47/1.65 tff(7598,plain,
% 1.47/1.65 (xuntil6(s15)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7209, 7597])).
% 1.47/1.65 tff(7599,plain,
% 1.47/1.65 (until5(s16)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[2384, 7598])).
% 1.47/1.65 tff(7600,plain,
% 1.47/1.65 (xuntil6(s16) | node4(s16)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[2395, 614, 7599])).
% 1.47/1.65 tff(7601,plain,
% 1.47/1.65 (xuntil6(s16)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7600, 7596])).
% 1.47/1.65 tff(7602,plain,
% 1.47/1.65 (until5(s17)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[2401, 7601])).
% 1.47/1.65 tff(7603,plain,
% 1.47/1.65 (xuntil6(s17)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[2412, 614, 7602, 7594])).
% 1.47/1.65 tff(7604,plain,
% 1.47/1.65 (until5(s18)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1927, 7603])).
% 1.47/1.65 tff(7605,plain,
% 1.47/1.65 (~node4(s18)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1914, 595, 7592])).
% 1.47/1.65 tff(7606,plain,
% 1.47/1.65 (xuntil6(s18) | (~until5(s18))),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1921, 614, 7605])).
% 1.47/1.65 tff(7607,plain,
% 1.47/1.65 (xuntil6(s18)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7606, 7604])).
% 1.47/1.65 tff(7608,plain,
% 1.47/1.65 (until5(s19)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1909, 7607])).
% 1.47/1.65 tff(7609,plain,
% 1.47/1.65 (~node4(s19)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1896, 595, 7591])).
% 1.47/1.65 tff(7610,plain,
% 1.47/1.65 (xuntil6(s19) | (~until5(s19))),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1903, 614, 7609])).
% 1.47/1.65 tff(7611,plain,
% 1.47/1.65 (xuntil6(s19)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7610, 7608])).
% 1.47/1.65 tff(7612,plain,
% 1.47/1.65 (until5(s20)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1891, 7611])).
% 1.47/1.65 tff(7613,plain,
% 1.47/1.65 (~node4(s20)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1878, 595, 7590])).
% 1.47/1.65 tff(7614,plain,
% 1.47/1.65 (xuntil6(s20) | (~until5(s20))),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1885, 614, 7613])).
% 1.47/1.65 tff(7615,plain,
% 1.47/1.65 (xuntil6(s20)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7614, 7612])).
% 1.47/1.65 tff(7616,plain,
% 1.47/1.65 (until5(s21)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1873, 7615])).
% 1.47/1.65 tff(7617,plain,
% 1.47/1.65 (~node4(s21)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1860, 595, 7589])).
% 1.47/1.65 tff(7618,plain,
% 1.47/1.65 (xuntil6(s21) | (~until5(s21))),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1867, 614, 7617])).
% 1.47/1.65 tff(7619,plain,
% 1.47/1.65 ($false),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7618, 7616, 7588])).
% 1.47/1.65 tff(7620,plain,(always3(s26) | xuntil6(s26)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.65 tff(7621,plain,
% 1.47/1.65 (always3(s26)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7620, 7565])).
% 1.47/1.65 tff(7622,plain,
% 1.47/1.65 (((~![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)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7623,plain,
% 1.47/1.65 (((~m_main_v_state(s26, c_busy)) | (~always3(s26))) <=> ((~always3(s26)) | (~m_main_v_state(s26, c_busy)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7624,plain,
% 1.47/1.65 (((~![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))))),
% 1.47/1.65 inference(monotonicity,[status(thm)],[7623])).
% 1.47/1.65 tff(7625,plain,
% 1.47/1.65 (((~![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)))),
% 1.47/1.65 inference(transitivity,[status(thm)],[7624, 7622])).
% 1.47/1.65 tff(7626,plain,
% 1.47/1.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s26, c_busy)) | (~always3(s26)))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7627,plain,
% 1.47/1.65 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s26)) | (~m_main_v_state(s26, c_busy))),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7626, 7625])).
% 1.47/1.65 tff(7628,plain,
% 1.47/1.65 (~m_main_v_state(s26, c_busy)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7627, 3154, 7621])).
% 1.47/1.65 tff(7629,plain,
% 1.47/1.65 (always3(s27)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[306, 7621])).
% 1.47/1.65 tff(7630,plain,
% 1.47/1.65 (~m_main_v_state(s27, c_busy)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[4078, 3154, 7629])).
% 1.47/1.65 tff(7631,plain,
% 1.47/1.65 (((~![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))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7632,plain,
% 1.47/1.65 ((~![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))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7633,plain,
% 1.47/1.65 ((~![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)),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7632, 7631])).
% 1.47/1.65 tff(7634,plain,
% 1.47/1.65 (m_main_v_state(s26, c_ready)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7633, 19, 7628])).
% 1.47/1.65 tff(7635,plain,
% 1.47/1.65 (((~![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))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7636,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s26, s27)) | node2(s26, s27))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7637,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s26, s27)) | node2(s26, s27)),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7636, 7635])).
% 1.47/1.65 tff(7638,plain,
% 1.47/1.65 (node2(s26, s27)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7637, 7, 302])).
% 1.47/1.65 tff(7639,plain,
% 1.47/1.65 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7640,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7641,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7640, 7639])).
% 1.47/1.65 tff(7642,plain,
% 1.47/1.65 ((~m_main_v_state(s26, c_ready)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26))),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7641, 3175, 7638])).
% 1.47/1.65 tff(7643,plain,
% 1.47/1.65 (~m_main_v_request(s26)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7642, 7634, 7630])).
% 1.47/1.65 tff(7644,plain,
% 1.47/1.65 (((~![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)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7645,plain,
% 1.47/1.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s26) | (~node4(s26)))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7646,plain,
% 1.47/1.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s26) | (~node4(s26))),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7645, 7644])).
% 1.47/1.65 tff(7647,plain,
% 1.47/1.65 (~node4(s26)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7646, 3141, 7643])).
% 1.47/1.65 tff(7648,plain,
% 1.47/1.65 (~until5(s26)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7569, 7647])).
% 1.47/1.65 tff(7649,plain,
% 1.47/1.65 (~xuntil6(s25)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1783, 7648])).
% 1.47/1.65 tff(7650,assumption,(until5(s25)), introduced(assumption)).
% 1.47/1.65 tff(7651,plain,
% 1.47/1.65 (xuntil6(s25) | node4(s25)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1795, 614, 7650])).
% 1.47/1.65 tff(7652,plain,
% 1.47/1.65 (node4(s25)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7651, 7649])).
% 1.47/1.65 tff(7653,plain,
% 1.47/1.65 (((~![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)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7654,plain,
% 1.47/1.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s25) | (~node4(s25)))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7655,plain,
% 1.47/1.65 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s25) | (~node4(s25))),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7654, 7653])).
% 1.47/1.65 tff(7656,plain,
% 1.47/1.65 (m_main_v_request(s25)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7655, 3141, 7652])).
% 1.47/1.65 tff(7657,plain,
% 1.47/1.65 (((~![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))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7658,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s25, s26)) | node2(s25, s26))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7659,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s25, s26)) | node2(s25, s26)),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7658, 7657])).
% 1.47/1.65 tff(7660,plain,
% 1.47/1.65 (node2(s25, s26)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7659, 7, 314])).
% 1.47/1.65 tff(7661,plain,
% 1.47/1.65 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7662,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7663,plain,
% 1.47/1.65 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7662, 7661])).
% 1.47/1.65 tff(7664,plain,
% 1.47/1.65 ((~m_main_v_state(s25, c_ready)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25))),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7663, 3175, 7660])).
% 1.47/1.65 tff(7665,plain,
% 1.47/1.65 (~m_main_v_state(s25, c_ready)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7664, 7656, 7628])).
% 1.47/1.65 tff(7666,plain,
% 1.47/1.65 (always3(s25)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1788, 595, 7652])).
% 1.47/1.65 tff(7667,plain,
% 1.47/1.65 (~m_main_v_state(s25, c_busy)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7558, 3154, 7666])).
% 1.47/1.65 tff(7668,plain,
% 1.47/1.65 (((~![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))),
% 1.47/1.65 inference(rewrite,[status(thm)],[])).
% 1.47/1.65 tff(7669,plain,
% 1.47/1.65 ((~![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))),
% 1.47/1.65 inference(quant_inst,[status(thm)],[])).
% 1.47/1.65 tff(7670,plain,
% 1.47/1.65 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s25, c_busy) | m_main_v_state(s25, c_ready)),
% 1.47/1.65 inference(modus_ponens,[status(thm)],[7669, 7668])).
% 1.47/1.65 tff(7671,plain,
% 1.47/1.65 ($false),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7670, 19, 7667, 7665])).
% 1.47/1.65 tff(7672,plain,(xuntil6(s26) | (~until5(s25))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.65 tff(7673,plain,
% 1.47/1.65 (xuntil6(s26)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[7672, 7564])).
% 1.47/1.65 tff(7674,plain,
% 1.47/1.65 (until5(s27)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[1765, 7673])).
% 1.47/1.65 tff(7675,assumption,(until5(s27)), introduced(assumption)).
% 1.47/1.65 tff(7676,assumption,(~xuntil6(s29)), introduced(assumption)).
% 1.47/1.65 tff(7677,plain,
% 1.47/1.65 (~always3(s28)),
% 1.47/1.65 inference(unit_resolution,[status(thm)],[282, 6409])).
% 1.47/1.66 tff(7678,plain,
% 1.47/1.66 (~node4(s28)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1734, 595, 7677])).
% 1.47/1.66 tff(7679,plain,
% 1.47/1.66 (~node4(s29)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1716, 595, 6409])).
% 1.47/1.66 tff(7680,plain,
% 1.47/1.66 (node4(s29) | (~until5(s29))),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1723, 614, 7676])).
% 1.47/1.66 tff(7681,plain,
% 1.47/1.66 (~until5(s29)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7680, 7679])).
% 1.47/1.66 tff(7682,plain,
% 1.47/1.66 (~xuntil6(s28)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1729, 7681])).
% 1.47/1.66 tff(7683,plain,
% 1.47/1.66 (~always3(s27)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[294, 7677])).
% 1.47/1.66 tff(7684,plain,
% 1.47/1.66 (~node4(s27)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1752, 595, 7683])).
% 1.47/1.66 tff(7685,plain,
% 1.47/1.66 (xuntil6(s27) | node4(s27)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1759, 614, 7675])).
% 1.47/1.66 tff(7686,plain,
% 1.47/1.66 (xuntil6(s27)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7685, 7684])).
% 1.47/1.66 tff(7687,plain,
% 1.47/1.66 (until5(s28)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1747, 7686])).
% 1.47/1.66 tff(7688,plain,
% 1.47/1.66 ($false),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1741, 614, 7687, 7682, 7678])).
% 1.47/1.66 tff(7689,plain,(always3(s29) | (~until5(s27)) | xuntil6(s29)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.66 tff(7690,plain,
% 1.47/1.66 (always3(s29)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7689, 7676, 7675])).
% 1.47/1.66 tff(7691,plain,
% 1.47/1.66 (always3(s30)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[270, 7690])).
% 1.47/1.66 tff(7692,plain,
% 1.47/1.66 (((~![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)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7693,plain,
% 1.47/1.66 (((~m_main_v_state(s30, c_busy)) | (~always3(s30))) <=> ((~always3(s30)) | (~m_main_v_state(s30, c_busy)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7694,plain,
% 1.47/1.66 (((~![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))))),
% 1.47/1.66 inference(monotonicity,[status(thm)],[7693])).
% 1.47/1.66 tff(7695,plain,
% 1.47/1.66 (((~![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)))),
% 1.47/1.66 inference(transitivity,[status(thm)],[7694, 7692])).
% 1.47/1.66 tff(7696,plain,
% 1.47/1.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s30, c_busy)) | (~always3(s30)))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7697,plain,
% 1.47/1.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s30)) | (~m_main_v_state(s30, c_busy))),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7696, 7695])).
% 1.47/1.66 tff(7698,plain,
% 1.47/1.66 (~m_main_v_state(s30, c_busy)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7697, 3154, 7691])).
% 1.47/1.66 tff(7699,assumption,(until5(s29)), introduced(assumption)).
% 1.47/1.66 tff(7700,plain,
% 1.47/1.66 (xuntil6(s29) | node4(s29)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1723, 614, 7699])).
% 1.47/1.66 tff(7701,plain,
% 1.47/1.66 (node4(s29)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7700, 7676])).
% 1.47/1.66 tff(7702,plain,
% 1.47/1.66 (((~![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)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7703,plain,
% 1.47/1.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s29) | (~node4(s29)))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7704,plain,
% 1.47/1.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s29) | (~node4(s29))),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7703, 7702])).
% 1.47/1.66 tff(7705,plain,
% 1.47/1.66 (m_main_v_request(s29)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7704, 3141, 7701])).
% 1.47/1.66 tff(7706,plain,
% 1.47/1.66 (((~![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))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7707,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s29, s30)) | node2(s29, s30))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7708,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s29, s30)) | node2(s29, s30)),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7707, 7706])).
% 1.47/1.66 tff(7709,plain,
% 1.47/1.66 (node2(s29, s30)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7708, 7, 266])).
% 1.47/1.66 tff(7710,plain,
% 1.47/1.66 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7711,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7712,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7711, 7710])).
% 1.47/1.66 tff(7713,plain,
% 1.47/1.66 ((~m_main_v_state(s29, c_ready)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29))),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7712, 3175, 7709])).
% 1.47/1.66 tff(7714,plain,
% 1.47/1.66 (~m_main_v_state(s29, c_ready)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7713, 7705, 7698])).
% 1.47/1.66 tff(7715,plain,
% 1.47/1.66 (((~![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)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7716,plain,
% 1.47/1.66 (((~m_main_v_state(s29, c_busy)) | (~always3(s29))) <=> ((~always3(s29)) | (~m_main_v_state(s29, c_busy)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7717,plain,
% 1.47/1.66 (((~![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))))),
% 1.47/1.66 inference(monotonicity,[status(thm)],[7716])).
% 1.47/1.66 tff(7718,plain,
% 1.47/1.66 (((~![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)))),
% 1.47/1.66 inference(transitivity,[status(thm)],[7717, 7715])).
% 1.47/1.66 tff(7719,plain,
% 1.47/1.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s29, c_busy)) | (~always3(s29)))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7720,plain,
% 1.47/1.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s29)) | (~m_main_v_state(s29, c_busy))),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7719, 7718])).
% 1.47/1.66 tff(7721,plain,
% 1.47/1.66 (~m_main_v_state(s29, c_busy)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7720, 3154, 7690])).
% 1.47/1.66 tff(7722,plain,
% 1.47/1.66 (((~![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))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7723,plain,
% 1.47/1.66 ((~![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))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7724,plain,
% 1.47/1.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready)),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7723, 7722])).
% 1.47/1.66 tff(7725,plain,
% 1.47/1.66 ($false),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7724, 19, 7721, 7714])).
% 1.47/1.66 tff(7726,plain,(xuntil6(s29) | (~until5(s29)) | (~until5(s27))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.66 tff(7727,plain,
% 1.47/1.66 (~until5(s29)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7726, 7676, 7675])).
% 1.47/1.66 tff(7728,plain,
% 1.47/1.66 (~xuntil6(s28)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1729, 7727])).
% 1.47/1.66 tff(7729,plain,
% 1.47/1.66 (xuntil6(s27) | (~until5(s27))),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1759, 614, 4084])).
% 1.47/1.66 tff(7730,plain,
% 1.47/1.66 (xuntil6(s27)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7729, 7675])).
% 1.47/1.66 tff(7731,plain,
% 1.47/1.66 (until5(s28)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1747, 7730])).
% 1.47/1.66 tff(7732,plain,
% 1.47/1.66 (xuntil6(s28) | node4(s28)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1741, 614, 7731])).
% 1.47/1.66 tff(7733,plain,
% 1.47/1.66 (node4(s28)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7732, 7728])).
% 1.47/1.66 tff(7734,assumption,(~m_main_v_state(s29, c_busy)), introduced(assumption)).
% 1.47/1.66 tff(7735,assumption,(node4(s28)), introduced(assumption)).
% 1.47/1.66 tff(7736,plain,
% 1.47/1.66 (((~![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)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7737,plain,
% 1.47/1.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s28) | (~node4(s28)))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7738,plain,
% 1.47/1.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s28) | (~node4(s28))),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7737, 7736])).
% 1.47/1.66 tff(7739,plain,
% 1.47/1.66 (m_main_v_request(s28)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7738, 3141, 7735])).
% 1.47/1.66 tff(7740,plain,
% 1.47/1.66 (((~![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))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7741,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s28, s29)) | node2(s28, s29))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7742,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s28, s29)) | node2(s28, s29)),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7741, 7740])).
% 1.47/1.66 tff(7743,plain,
% 1.47/1.66 (node2(s28, s29)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7742, 7, 278])).
% 1.47/1.66 tff(7744,plain,
% 1.47/1.66 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7745,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7746,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7745, 7744])).
% 1.47/1.66 tff(7747,plain,
% 1.47/1.66 ((~m_main_v_state(s28, c_ready)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28))),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7746, 3175, 7743])).
% 1.47/1.66 tff(7748,plain,
% 1.47/1.66 (~m_main_v_state(s28, c_ready)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7747, 7739, 7734])).
% 1.47/1.66 tff(7749,plain,
% 1.47/1.66 (always3(s28)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1734, 595, 7735])).
% 1.47/1.66 tff(7750,plain,
% 1.47/1.66 (~m_main_v_state(s28, c_busy)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[4062, 3154, 7749])).
% 1.47/1.66 tff(7751,plain,
% 1.47/1.66 (((~![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))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7752,plain,
% 1.47/1.66 ((~![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))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7753,plain,
% 1.47/1.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s28, c_busy) | m_main_v_state(s28, c_ready)),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7752, 7751])).
% 1.47/1.66 tff(7754,plain,
% 1.47/1.66 ($false),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7753, 19, 7750, 7748])).
% 1.47/1.66 tff(7755,plain,((~node4(s28)) | m_main_v_state(s29, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.66 tff(7756,plain,
% 1.47/1.66 (m_main_v_state(s29, c_busy)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7755, 7733])).
% 1.47/1.66 tff(7757,plain,
% 1.47/1.66 (~always3(s26)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[306, 7683])).
% 1.47/1.66 tff(7758,plain,
% 1.47/1.66 (~always3(s25)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[318, 7757])).
% 1.47/1.66 tff(7759,plain,
% 1.47/1.66 (~node4(s25)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1788, 595, 7758])).
% 1.47/1.66 tff(7760,plain,
% 1.47/1.66 (~node4(s26)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1770, 595, 7757])).
% 1.47/1.66 tff(7761,plain,
% 1.47/1.66 (~until5(s27)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7689, 6409, 7676])).
% 1.47/1.66 tff(7762,plain,
% 1.47/1.66 (~xuntil6(s26)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1765, 7761])).
% 1.47/1.66 tff(7763,plain,
% 1.47/1.66 (~until5(s26)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1777, 614, 7762, 7760])).
% 1.47/1.66 tff(7764,plain,
% 1.47/1.66 (~xuntil6(s25)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1783, 7763])).
% 1.47/1.66 tff(7765,plain,
% 1.47/1.66 (~until5(s25)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1795, 614, 7764, 7759])).
% 1.47/1.66 tff(7766,plain,
% 1.47/1.66 (~xuntil6(s24)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1801, 7765])).
% 1.47/1.66 tff(7767,plain,
% 1.47/1.66 (~always3(s24)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[330, 7758])).
% 1.47/1.66 tff(7768,plain,
% 1.47/1.66 (~node4(s24)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1806, 595, 7767])).
% 1.47/1.66 tff(7769,plain,
% 1.47/1.66 (xuntil6(s24) | (~until5(s24))),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1813, 614, 7768])).
% 1.47/1.66 tff(7770,plain,
% 1.47/1.66 (~until5(s24)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7769, 7766])).
% 1.47/1.66 tff(7771,plain,
% 1.47/1.66 (~xuntil6(s23)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1819, 7770])).
% 1.47/1.66 tff(7772,plain,
% 1.47/1.66 (~always3(s23)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[342, 7767])).
% 1.47/1.66 tff(7773,plain,
% 1.47/1.66 (~node4(s23)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1824, 595, 7772])).
% 1.47/1.66 tff(7774,plain,
% 1.47/1.66 (xuntil6(s23) | (~until5(s23))),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1831, 614, 7773])).
% 1.47/1.66 tff(7775,plain,
% 1.47/1.66 (~until5(s23)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7774, 7771])).
% 1.47/1.66 tff(7776,plain,
% 1.47/1.66 (~xuntil6(s22)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1837, 7775])).
% 1.47/1.66 tff(7777,plain,
% 1.47/1.66 (~always3(s22)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[354, 7772])).
% 1.47/1.66 tff(7778,plain,
% 1.47/1.66 (~node4(s22)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1842, 595, 7777])).
% 1.47/1.66 tff(7779,plain,
% 1.47/1.66 (xuntil6(s22) | (~until5(s22))),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1849, 614, 7778])).
% 1.47/1.66 tff(7780,plain,
% 1.47/1.66 (~until5(s22)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7779, 7776])).
% 1.47/1.66 tff(7781,plain,
% 1.47/1.66 (~xuntil6(s21)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1855, 7780])).
% 1.47/1.66 tff(7782,plain,
% 1.47/1.66 (~always3(s21)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[366, 7777])).
% 1.47/1.66 tff(7783,plain,
% 1.47/1.66 (~always3(s20)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[378, 7782])).
% 1.47/1.66 tff(7784,plain,
% 1.47/1.66 (~always3(s19)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[390, 7783])).
% 1.47/1.66 tff(7785,plain,
% 1.47/1.66 (~always3(s18)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[402, 7784])).
% 1.47/1.66 tff(7786,plain,
% 1.47/1.66 (~always3(s17)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[414, 7785])).
% 1.47/1.66 tff(7787,plain,
% 1.47/1.66 (~node4(s17)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[2405, 595, 7786])).
% 1.47/1.66 tff(7788,plain,
% 1.47/1.66 (~always3(s16)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[426, 7786])).
% 1.47/1.66 tff(7789,plain,
% 1.47/1.66 (~node4(s16)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[2388, 595, 7788])).
% 1.47/1.66 tff(7790,plain,
% 1.47/1.66 (~always3(s15)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[438, 7788])).
% 1.47/1.66 tff(7791,plain,
% 1.47/1.66 (xuntil6(s15)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7209, 7790])).
% 1.47/1.66 tff(7792,plain,
% 1.47/1.66 (until5(s16)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[2384, 7791])).
% 1.47/1.66 tff(7793,plain,
% 1.47/1.66 (xuntil6(s16) | node4(s16)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[2395, 614, 7792])).
% 1.47/1.66 tff(7794,plain,
% 1.47/1.66 (xuntil6(s16)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7793, 7789])).
% 1.47/1.66 tff(7795,plain,
% 1.47/1.66 (until5(s17)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[2401, 7794])).
% 1.47/1.66 tff(7796,plain,
% 1.47/1.66 (xuntil6(s17)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[2412, 614, 7795, 7787])).
% 1.47/1.66 tff(7797,plain,
% 1.47/1.66 (until5(s18)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1927, 7796])).
% 1.47/1.66 tff(7798,plain,
% 1.47/1.66 (~node4(s18)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1914, 595, 7785])).
% 1.47/1.66 tff(7799,plain,
% 1.47/1.66 (xuntil6(s18) | (~until5(s18))),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1921, 614, 7798])).
% 1.47/1.66 tff(7800,plain,
% 1.47/1.66 (xuntil6(s18)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7799, 7797])).
% 1.47/1.66 tff(7801,plain,
% 1.47/1.66 (until5(s19)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1909, 7800])).
% 1.47/1.66 tff(7802,plain,
% 1.47/1.66 (~node4(s19)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1896, 595, 7784])).
% 1.47/1.66 tff(7803,plain,
% 1.47/1.66 (xuntil6(s19) | (~until5(s19))),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1903, 614, 7802])).
% 1.47/1.66 tff(7804,plain,
% 1.47/1.66 (xuntil6(s19)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7803, 7801])).
% 1.47/1.66 tff(7805,plain,
% 1.47/1.66 (until5(s20)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1891, 7804])).
% 1.47/1.66 tff(7806,plain,
% 1.47/1.66 (~node4(s20)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1878, 595, 7783])).
% 1.47/1.66 tff(7807,plain,
% 1.47/1.66 (xuntil6(s20) | (~until5(s20))),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1885, 614, 7806])).
% 1.47/1.66 tff(7808,plain,
% 1.47/1.66 (xuntil6(s20)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7807, 7805])).
% 1.47/1.66 tff(7809,plain,
% 1.47/1.66 (until5(s21)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1873, 7808])).
% 1.47/1.66 tff(7810,plain,
% 1.47/1.66 (~node4(s21)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1860, 595, 7782])).
% 1.47/1.66 tff(7811,plain,
% 1.47/1.66 (xuntil6(s21) | (~until5(s21))),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1867, 614, 7810])).
% 1.47/1.66 tff(7812,plain,
% 1.47/1.66 ($false),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7811, 7809, 7781])).
% 1.47/1.66 tff(7813,plain,(always3(s29) | xuntil6(s29)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.66 tff(7814,plain,
% 1.47/1.66 (always3(s29)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7813, 7676])).
% 1.47/1.66 tff(7815,plain,
% 1.47/1.66 ($false),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7720, 3154, 7814, 7756])).
% 1.47/1.66 tff(7816,plain,(xuntil6(s29) | (~until5(s27))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.66 tff(7817,plain,
% 1.47/1.66 (xuntil6(s29)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7816, 7674])).
% 1.47/1.66 tff(7818,plain,
% 1.47/1.66 (until5(s30)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1711, 7817])).
% 1.47/1.66 tff(7819,assumption,(~xuntil6(s31)), introduced(assumption)).
% 1.47/1.66 tff(7820,plain,
% 1.47/1.66 (~node4(s31)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1680, 595, 6442])).
% 1.47/1.66 tff(7821,plain,
% 1.47/1.66 (node4(s31) | (~until5(s31))),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1687, 614, 7819])).
% 1.47/1.66 tff(7822,plain,
% 1.47/1.66 (~until5(s31)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7821, 7820])).
% 1.47/1.66 tff(7823,plain,
% 1.47/1.66 (~always3(s30)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[258, 6442])).
% 1.47/1.66 tff(7824,plain,
% 1.47/1.66 (~node4(s30)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1698, 595, 7823])).
% 1.47/1.66 tff(7825,plain,
% 1.47/1.66 (~always3(s29)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[270, 7823])).
% 1.47/1.66 tff(7826,plain,
% 1.47/1.66 (xuntil6(s29)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7813, 7825])).
% 1.47/1.66 tff(7827,plain,
% 1.47/1.66 (until5(s30)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1711, 7826])).
% 1.47/1.66 tff(7828,plain,
% 1.47/1.66 (xuntil6(s30) | node4(s30)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1705, 614, 7827])).
% 1.47/1.66 tff(7829,plain,
% 1.47/1.66 (xuntil6(s30)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7828, 7824])).
% 1.47/1.66 tff(7830,plain,
% 1.47/1.66 ($false),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1693, 7829, 7822])).
% 1.47/1.66 tff(7831,plain,(always3(s31) | xuntil6(s31)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.66 tff(7832,plain,
% 1.47/1.66 (always3(s31)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7831, 7819])).
% 1.47/1.66 tff(7833,plain,
% 1.47/1.66 (always3(s32)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[246, 7832])).
% 1.47/1.66 tff(7834,plain,
% 1.47/1.66 (~m_main_v_state(s32, c_busy)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[3984, 3154, 7833])).
% 1.47/1.66 tff(7835,assumption,(until5(s31)), introduced(assumption)).
% 1.47/1.66 tff(7836,plain,
% 1.47/1.66 (xuntil6(s31) | node4(s31)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1687, 614, 7835])).
% 1.47/1.66 tff(7837,plain,
% 1.47/1.66 (node4(s31)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7836, 7819])).
% 1.47/1.66 tff(7838,plain,
% 1.47/1.66 (((~![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)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7839,plain,
% 1.47/1.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s31) | (~node4(s31)))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7840,plain,
% 1.47/1.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s31) | (~node4(s31))),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7839, 7838])).
% 1.47/1.66 tff(7841,plain,
% 1.47/1.66 (m_main_v_request(s31)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7840, 3141, 7837])).
% 1.47/1.66 tff(7842,plain,
% 1.47/1.66 (((~![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))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7843,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s31, s32)) | node2(s31, s32))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7844,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s31, s32)) | node2(s31, s32)),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7843, 7842])).
% 1.47/1.66 tff(7845,plain,
% 1.47/1.66 (node2(s31, s32)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7844, 7, 242])).
% 1.47/1.66 tff(7846,plain,
% 1.47/1.66 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7847,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7848,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7847, 7846])).
% 1.47/1.66 tff(7849,plain,
% 1.47/1.66 ((~m_main_v_state(s31, c_ready)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31))),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7848, 3175, 7845])).
% 1.47/1.66 tff(7850,plain,
% 1.47/1.66 (~m_main_v_state(s31, c_ready)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7849, 7841, 7834])).
% 1.47/1.66 tff(7851,plain,
% 1.47/1.66 (((~![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))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7852,plain,
% 1.47/1.66 ((~![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))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7853,plain,
% 1.47/1.66 ((~![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)),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7852, 7851])).
% 1.47/1.66 tff(7854,plain,
% 1.47/1.66 (m_main_v_state(s31, c_busy)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7853, 19, 7850])).
% 1.47/1.66 tff(7855,plain,
% 1.47/1.66 (((~![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)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7856,plain,
% 1.47/1.66 (((~m_main_v_state(s31, c_busy)) | (~always3(s31))) <=> ((~always3(s31)) | (~m_main_v_state(s31, c_busy)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7857,plain,
% 1.47/1.66 (((~![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))))),
% 1.47/1.66 inference(monotonicity,[status(thm)],[7856])).
% 1.47/1.66 tff(7858,plain,
% 1.47/1.66 (((~![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)))),
% 1.47/1.66 inference(transitivity,[status(thm)],[7857, 7855])).
% 1.47/1.66 tff(7859,plain,
% 1.47/1.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s31, c_busy)) | (~always3(s31)))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7860,plain,
% 1.47/1.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s31)) | (~m_main_v_state(s31, c_busy))),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7859, 7858])).
% 1.47/1.66 tff(7861,plain,
% 1.47/1.66 ($false),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7860, 3154, 7832, 7854])).
% 1.47/1.66 tff(7862,plain,(xuntil6(s31) | (~until5(s31))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.66 tff(7863,plain,
% 1.47/1.66 (~until5(s31)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7862, 7819])).
% 1.47/1.66 tff(7864,plain,
% 1.47/1.66 (~xuntil6(s30)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1693, 7863])).
% 1.47/1.66 tff(7865,assumption,(until5(s30)), introduced(assumption)).
% 1.47/1.66 tff(7866,plain,
% 1.47/1.66 (xuntil6(s30) | node4(s30)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1705, 614, 7865])).
% 1.47/1.66 tff(7867,plain,
% 1.47/1.66 (node4(s30)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7866, 7864])).
% 1.47/1.66 tff(7868,assumption,(~m_main_v_state(s31, c_busy)), introduced(assumption)).
% 1.47/1.66 tff(7869,assumption,(node4(s30)), introduced(assumption)).
% 1.47/1.66 tff(7870,plain,
% 1.47/1.66 (((~![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)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7871,plain,
% 1.47/1.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s30) | (~node4(s30)))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7872,plain,
% 1.47/1.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s30) | (~node4(s30))),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7871, 7870])).
% 1.47/1.66 tff(7873,plain,
% 1.47/1.66 (m_main_v_request(s30)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7872, 3141, 7869])).
% 1.47/1.66 tff(7874,plain,
% 1.47/1.66 (((~![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))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7875,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s30, s31)) | node2(s30, s31))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7876,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s30, s31)) | node2(s30, s31)),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7875, 7874])).
% 1.47/1.66 tff(7877,plain,
% 1.47/1.66 (node2(s30, s31)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7876, 7, 254])).
% 1.47/1.66 tff(7878,plain,
% 1.47/1.66 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7879,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7880,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7879, 7878])).
% 1.47/1.66 tff(7881,plain,
% 1.47/1.66 ((~m_main_v_state(s30, c_ready)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30))),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7880, 3175, 7877])).
% 1.47/1.66 tff(7882,plain,
% 1.47/1.66 (~m_main_v_state(s30, c_ready)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7881, 7873, 7868])).
% 1.47/1.66 tff(7883,plain,
% 1.47/1.66 (always3(s30)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1698, 595, 7869])).
% 1.47/1.66 tff(7884,plain,
% 1.47/1.66 (~m_main_v_state(s30, c_busy)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7697, 3154, 7883])).
% 1.47/1.66 tff(7885,plain,
% 1.47/1.66 (((~![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))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7886,plain,
% 1.47/1.66 ((~![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))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7887,plain,
% 1.47/1.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s30, c_busy) | m_main_v_state(s30, c_ready)),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7886, 7885])).
% 1.47/1.66 tff(7888,plain,
% 1.47/1.66 ($false),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7887, 19, 7884, 7882])).
% 1.47/1.66 tff(7889,plain,((~node4(s30)) | m_main_v_state(s31, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.66 tff(7890,plain,
% 1.47/1.66 (m_main_v_state(s31, c_busy)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7889, 7867])).
% 1.47/1.66 tff(7891,plain,
% 1.47/1.66 ($false),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7860, 3154, 7832, 7890])).
% 1.47/1.66 tff(7892,plain,(xuntil6(s31) | (~until5(s30))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.66 tff(7893,plain,
% 1.47/1.66 (xuntil6(s31)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7892, 7818])).
% 1.47/1.66 tff(7894,plain,
% 1.47/1.66 (until5(s32)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1675, 7893])).
% 1.47/1.66 tff(7895,plain,
% 1.47/1.66 (xuntil6(s32) | (~until5(s32))),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1669, 614, 3990])).
% 1.47/1.66 tff(7896,plain,
% 1.47/1.66 (xuntil6(s32)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7895, 7894])).
% 1.47/1.66 tff(7897,plain,
% 1.47/1.66 (until5(s33)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1657, 7896])).
% 1.47/1.66 tff(7898,plain,
% 1.47/1.66 (always3(s34)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[2415, 1633])).
% 1.47/1.66 tff(7899,plain,
% 1.47/1.66 (always3(s35)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[210, 7898])).
% 1.47/1.66 tff(7900,plain,
% 1.47/1.66 (((~![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)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7901,plain,
% 1.47/1.66 (((~m_main_v_state(s35, c_busy)) | (~always3(s35))) <=> ((~always3(s35)) | (~m_main_v_state(s35, c_busy)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7902,plain,
% 1.47/1.66 (((~![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))))),
% 1.47/1.66 inference(monotonicity,[status(thm)],[7901])).
% 1.47/1.66 tff(7903,plain,
% 1.47/1.66 (((~![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)))),
% 1.47/1.66 inference(transitivity,[status(thm)],[7902, 7900])).
% 1.47/1.66 tff(7904,plain,
% 1.47/1.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s35, c_busy)) | (~always3(s35)))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7905,plain,
% 1.47/1.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s35)) | (~m_main_v_state(s35, c_busy))),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7904, 7903])).
% 1.47/1.66 tff(7906,plain,
% 1.47/1.66 (~m_main_v_state(s35, c_busy)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7905, 3154, 7899])).
% 1.47/1.66 tff(7907,assumption,(until5(s34)), introduced(assumption)).
% 1.47/1.66 tff(7908,plain,
% 1.47/1.66 (xuntil6(s34) | node4(s34)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1639, 614, 7907])).
% 1.47/1.66 tff(7909,plain,
% 1.47/1.66 (node4(s34)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7908, 1633])).
% 1.47/1.66 tff(7910,plain,
% 1.47/1.66 (((~![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)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7911,plain,
% 1.47/1.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s34) | (~node4(s34)))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7912,plain,
% 1.47/1.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s34) | (~node4(s34))),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7911, 7910])).
% 1.47/1.66 tff(7913,plain,
% 1.47/1.66 (m_main_v_request(s34)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7912, 3141, 7909])).
% 1.47/1.66 tff(7914,plain,
% 1.47/1.66 (((~![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))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7915,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s34, s35)) | node2(s34, s35))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7916,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s34, s35)) | node2(s34, s35)),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7915, 7914])).
% 1.47/1.66 tff(7917,plain,
% 1.47/1.66 (node2(s34, s35)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7916, 7, 206])).
% 1.47/1.66 tff(7918,plain,
% 1.47/1.66 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7919,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7920,plain,
% 1.47/1.66 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7919, 7918])).
% 1.47/1.66 tff(7921,plain,
% 1.47/1.66 ((~m_main_v_state(s34, c_ready)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34))),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7920, 3175, 7917])).
% 1.47/1.66 tff(7922,plain,
% 1.47/1.66 (~m_main_v_state(s34, c_ready)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7921, 7913, 7906])).
% 1.47/1.66 tff(7923,plain,
% 1.47/1.66 (((~![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)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7924,plain,
% 1.47/1.66 (((~m_main_v_state(s34, c_busy)) | (~always3(s34))) <=> ((~always3(s34)) | (~m_main_v_state(s34, c_busy)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7925,plain,
% 1.47/1.66 (((~![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))))),
% 1.47/1.66 inference(monotonicity,[status(thm)],[7924])).
% 1.47/1.66 tff(7926,plain,
% 1.47/1.66 (((~![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)))),
% 1.47/1.66 inference(transitivity,[status(thm)],[7925, 7923])).
% 1.47/1.66 tff(7927,plain,
% 1.47/1.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s34, c_busy)) | (~always3(s34)))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7928,plain,
% 1.47/1.66 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s34)) | (~m_main_v_state(s34, c_busy))),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7927, 7926])).
% 1.47/1.66 tff(7929,plain,
% 1.47/1.66 (~m_main_v_state(s34, c_busy)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7928, 3154, 7898])).
% 1.47/1.66 tff(7930,plain,
% 1.47/1.66 (((~![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))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7931,plain,
% 1.47/1.66 ((~![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))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7932,plain,
% 1.47/1.66 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s34, c_busy) | m_main_v_state(s34, c_ready)),
% 1.47/1.66 inference(modus_ponens,[status(thm)],[7931, 7930])).
% 1.47/1.66 tff(7933,plain,
% 1.47/1.66 ($false),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7932, 19, 7929, 7922])).
% 1.47/1.66 tff(7934,plain,(xuntil6(s34) | (~until5(s34))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.66 tff(7935,plain,
% 1.47/1.66 (~until5(s34)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7934, 1633])).
% 1.47/1.66 tff(7936,plain,
% 1.47/1.66 (~xuntil6(s33)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1645, 7935])).
% 1.47/1.66 tff(7937,assumption,(until5(s33)), introduced(assumption)).
% 1.47/1.66 tff(7938,plain,
% 1.47/1.66 (xuntil6(s33) | node4(s33)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[1652, 614, 7937])).
% 1.47/1.66 tff(7939,plain,
% 1.47/1.66 (node4(s33)),
% 1.47/1.66 inference(unit_resolution,[status(thm)],[7938, 7936])).
% 1.47/1.66 tff(7940,assumption,(~m_main_v_state(s34, c_busy)), introduced(assumption)).
% 1.47/1.66 tff(7941,assumption,(node4(s33)), introduced(assumption)).
% 1.47/1.66 tff(7942,plain,
% 1.47/1.66 (((~![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)))),
% 1.47/1.66 inference(rewrite,[status(thm)],[])).
% 1.47/1.66 tff(7943,plain,
% 1.47/1.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s33) | (~node4(s33)))),
% 1.47/1.66 inference(quant_inst,[status(thm)],[])).
% 1.47/1.66 tff(7944,plain,
% 1.47/1.66 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s33) | (~node4(s33))),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[7943, 7942])).
% 1.47/1.67 tff(7945,plain,
% 1.47/1.67 (m_main_v_request(s33)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7944, 3141, 7941])).
% 1.47/1.67 tff(7946,plain,
% 1.47/1.67 (((~![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))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(7947,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s33, s34)) | node2(s33, s34))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(7948,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s33, s34)) | node2(s33, s34)),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[7947, 7946])).
% 1.47/1.67 tff(7949,plain,
% 1.47/1.67 (node2(s33, s34)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7948, 7, 218])).
% 1.47/1.67 tff(7950,plain,
% 1.47/1.67 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(7951,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(7952,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[7951, 7950])).
% 1.47/1.67 tff(7953,plain,
% 1.47/1.67 ((~m_main_v_state(s33, c_ready)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7952, 3175, 7949])).
% 1.47/1.67 tff(7954,plain,
% 1.47/1.67 (~m_main_v_state(s33, c_ready)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7953, 7945, 7940])).
% 1.47/1.67 tff(7955,plain,
% 1.47/1.67 (always3(s33)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1627, 595, 7941])).
% 1.47/1.67 tff(7956,plain,
% 1.47/1.67 (~m_main_v_state(s33, c_busy)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[3968, 3154, 7955])).
% 1.47/1.67 tff(7957,plain,
% 1.47/1.67 (((~![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))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(7958,plain,
% 1.47/1.67 ((~![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))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(7959,plain,
% 1.47/1.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s33, c_busy) | m_main_v_state(s33, c_ready)),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[7958, 7957])).
% 1.47/1.67 tff(7960,plain,
% 1.47/1.67 ($false),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7959, 19, 7956, 7954])).
% 1.47/1.67 tff(7961,plain,((~node4(s33)) | m_main_v_state(s34, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.67 tff(7962,plain,
% 1.47/1.67 (m_main_v_state(s34, c_busy)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7961, 7939])).
% 1.47/1.67 tff(7963,plain,
% 1.47/1.67 ($false),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7928, 3154, 7898, 7962])).
% 1.47/1.67 tff(7964,plain,(xuntil6(s34) | (~until5(s33))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.67 tff(7965,plain,
% 1.47/1.67 (xuntil6(s34)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7964, 7897])).
% 1.47/1.67 tff(7966,plain,
% 1.47/1.67 (until5(s35)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2420, 7965])).
% 1.47/1.67 tff(7967,assumption,(~xuntil6(s35)), introduced(assumption)).
% 1.47/1.67 tff(7968,plain,
% 1.47/1.67 (~always3(s34)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[210, 6275])).
% 1.47/1.67 tff(7969,plain,
% 1.47/1.67 (xuntil6(s34)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2415, 7968])).
% 1.47/1.67 tff(7970,plain,
% 1.47/1.67 (until5(s35)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2420, 7969])).
% 1.47/1.67 tff(7971,plain,
% 1.47/1.67 (node4(s35) | (~until5(s35))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2427, 614, 7967])).
% 1.47/1.67 tff(7972,plain,
% 1.47/1.67 (node4(s35)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7971, 7970])).
% 1.47/1.67 tff(7973,plain,
% 1.47/1.67 ($false),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1620, 595, 6275, 7972])).
% 1.47/1.67 tff(7974,plain,(always3(s35) | xuntil6(s35)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.67 tff(7975,plain,
% 1.47/1.67 (always3(s35)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7974, 7967])).
% 1.47/1.67 tff(7976,plain,
% 1.47/1.67 (always3(s36)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[198, 7975])).
% 1.47/1.67 tff(7977,plain,
% 1.47/1.67 (~m_main_v_state(s36, c_busy)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[3902, 3154, 7976])).
% 1.47/1.67 tff(7978,assumption,(until5(s35)), introduced(assumption)).
% 1.47/1.67 tff(7979,plain,
% 1.47/1.67 (xuntil6(s35) | node4(s35)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2427, 614, 7978])).
% 1.47/1.67 tff(7980,plain,
% 1.47/1.67 (node4(s35)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7979, 7967])).
% 1.47/1.67 tff(7981,plain,
% 1.47/1.67 (((~![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)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(7982,plain,
% 1.47/1.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s35) | (~node4(s35)))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(7983,plain,
% 1.47/1.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s35) | (~node4(s35))),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[7982, 7981])).
% 1.47/1.67 tff(7984,plain,
% 1.47/1.67 (m_main_v_request(s35)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7983, 3141, 7980])).
% 1.47/1.67 tff(7985,plain,
% 1.47/1.67 (((~![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))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(7986,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s35, s36)) | node2(s35, s36))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(7987,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s35, s36)) | node2(s35, s36)),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[7986, 7985])).
% 1.47/1.67 tff(7988,plain,
% 1.47/1.67 (node2(s35, s36)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7987, 7, 194])).
% 1.47/1.67 tff(7989,plain,
% 1.47/1.67 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(7990,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(7991,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[7990, 7989])).
% 1.47/1.67 tff(7992,plain,
% 1.47/1.67 ((~m_main_v_state(s35, c_ready)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7991, 3175, 7988])).
% 1.47/1.67 tff(7993,plain,
% 1.47/1.67 (~m_main_v_state(s35, c_ready)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7992, 7984, 7977])).
% 1.47/1.67 tff(7994,plain,
% 1.47/1.67 (~m_main_v_state(s35, c_busy)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7905, 3154, 7975])).
% 1.47/1.67 tff(7995,plain,
% 1.47/1.67 (((~![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))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(7996,plain,
% 1.47/1.67 ((~![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))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(7997,plain,
% 1.47/1.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s35, c_busy) | m_main_v_state(s35, c_ready)),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[7996, 7995])).
% 1.47/1.67 tff(7998,plain,
% 1.47/1.67 ($false),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7997, 19, 7994, 7993])).
% 1.47/1.67 tff(7999,plain,(xuntil6(s35) | (~until5(s35))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.67 tff(8000,plain,
% 1.47/1.67 (xuntil6(s35)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[7999, 7966])).
% 1.47/1.67 tff(8001,plain,
% 1.47/1.67 (until5(s36)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2433, 8000])).
% 1.47/1.67 tff(8002,assumption,(until5(s36)), introduced(assumption)).
% 1.47/1.67 tff(8003,assumption,(~xuntil6(s37)), introduced(assumption)).
% 1.47/1.67 tff(8004,plain,
% 1.47/1.67 (~node4(s37)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2449, 595, 6045])).
% 1.47/1.67 tff(8005,plain,
% 1.47/1.67 (node4(s37) | (~until5(s37))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2456, 614, 8003])).
% 1.47/1.67 tff(8006,plain,
% 1.47/1.67 (~until5(s37)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8005, 8004])).
% 1.47/1.67 tff(8007,plain,
% 1.47/1.67 (~always3(s36)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[186, 6045])).
% 1.47/1.67 tff(8008,plain,
% 1.47/1.67 (~node4(s36)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1615, 595, 8007])).
% 1.47/1.67 tff(8009,plain,
% 1.47/1.67 (xuntil6(s36) | node4(s36)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2440, 614, 8002])).
% 1.47/1.67 tff(8010,plain,
% 1.47/1.67 (xuntil6(s36)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8009, 8008])).
% 1.47/1.67 tff(8011,plain,
% 1.47/1.67 ($false),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2445, 8010, 8006])).
% 1.47/1.67 tff(8012,plain,(always3(s37) | (~until5(s36)) | xuntil6(s37)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.67 tff(8013,plain,
% 1.47/1.67 (always3(s37)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8012, 8003, 8002])).
% 1.47/1.67 tff(8014,plain,
% 1.47/1.67 (~m_main_v_state(s37, c_busy)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[3886, 3154, 8013])).
% 1.47/1.67 tff(8015,plain,
% 1.47/1.67 (always3(s38)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[174, 8013])).
% 1.47/1.67 tff(8016,plain,
% 1.47/1.67 (((~![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)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8017,plain,
% 1.47/1.67 (((~m_main_v_state(s38, c_busy)) | (~always3(s38))) <=> ((~always3(s38)) | (~m_main_v_state(s38, c_busy)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8018,plain,
% 1.47/1.67 (((~![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))))),
% 1.47/1.67 inference(monotonicity,[status(thm)],[8017])).
% 1.47/1.67 tff(8019,plain,
% 1.47/1.67 (((~![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)))),
% 1.47/1.67 inference(transitivity,[status(thm)],[8018, 8016])).
% 1.47/1.67 tff(8020,plain,
% 1.47/1.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s38, c_busy)) | (~always3(s38)))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(8021,plain,
% 1.47/1.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s38)) | (~m_main_v_state(s38, c_busy))),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[8020, 8019])).
% 1.47/1.67 tff(8022,plain,
% 1.47/1.67 (~m_main_v_state(s38, c_busy)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8021, 3154, 8015])).
% 1.47/1.67 tff(8023,plain,
% 1.47/1.67 (((~![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))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8024,plain,
% 1.47/1.67 ((~![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))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(8025,plain,
% 1.47/1.67 ((~![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)),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[8024, 8023])).
% 1.47/1.67 tff(8026,plain,
% 1.47/1.67 (m_main_v_state(s37, c_ready)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8025, 19, 8014])).
% 1.47/1.67 tff(8027,plain,
% 1.47/1.67 (((~![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))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8028,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s37, s38)) | node2(s37, s38))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(8029,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s37, s38)) | node2(s37, s38)),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[8028, 8027])).
% 1.47/1.67 tff(8030,plain,
% 1.47/1.67 (node2(s37, s38)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8029, 7, 170])).
% 1.47/1.67 tff(8031,plain,
% 1.47/1.67 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8032,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(8033,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[8032, 8031])).
% 1.47/1.67 tff(8034,plain,
% 1.47/1.67 ((~m_main_v_state(s37, c_ready)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8033, 3175, 8030])).
% 1.47/1.67 tff(8035,plain,
% 1.47/1.67 (~m_main_v_request(s37)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8034, 8026, 8022])).
% 1.47/1.67 tff(8036,plain,
% 1.47/1.67 (((~![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)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8037,plain,
% 1.47/1.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s37) | (~node4(s37)))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(8038,plain,
% 1.47/1.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s37) | (~node4(s37))),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[8037, 8036])).
% 1.47/1.67 tff(8039,plain,
% 1.47/1.67 (~node4(s37)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8038, 3141, 8035])).
% 1.47/1.67 tff(8040,plain,
% 1.47/1.67 (~until5(s37)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8005, 8039])).
% 1.47/1.67 tff(8041,plain,
% 1.47/1.67 (~xuntil6(s36)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2445, 8040])).
% 1.47/1.67 tff(8042,plain,
% 1.47/1.67 (node4(s36)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8009, 8041])).
% 1.47/1.67 tff(8043,plain,
% 1.47/1.67 (m_main_v_request(s36)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[3877, 3141, 8042])).
% 1.47/1.67 tff(8044,plain,
% 1.47/1.67 (~m_main_v_state(s36, c_ready)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[3895, 8043, 8014])).
% 1.47/1.67 tff(8045,plain,
% 1.47/1.67 (always3(s36)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1615, 595, 8042])).
% 1.47/1.67 tff(8046,plain,
% 1.47/1.67 (~m_main_v_state(s36, c_busy)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[3902, 3154, 8045])).
% 1.47/1.67 tff(8047,plain,
% 1.47/1.67 ($false),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[3906, 19, 8046, 8044])).
% 1.47/1.67 tff(8048,plain,(xuntil6(s37) | (~until5(s36))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.67 tff(8049,plain,
% 1.47/1.67 (xuntil6(s37)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8048, 8001])).
% 1.47/1.67 tff(8050,plain,
% 1.47/1.67 (until5(s38)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2462, 8049])).
% 1.47/1.67 tff(8051,assumption,(~xuntil6(s38)), introduced(assumption)).
% 1.47/1.67 tff(8052,plain,
% 1.47/1.67 (~always3(s37)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[174, 5999])).
% 1.47/1.67 tff(8053,plain,
% 1.47/1.67 (~node4(s38)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2466, 595, 5999])).
% 1.47/1.67 tff(8054,plain,
% 1.47/1.67 (node4(s38) | (~until5(s38))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2473, 614, 8051])).
% 1.47/1.67 tff(8055,plain,
% 1.47/1.67 (~until5(s38)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8054, 8053])).
% 1.47/1.67 tff(8056,plain,
% 1.47/1.67 (~xuntil6(s37)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2462, 8055])).
% 1.47/1.67 tff(8057,plain,
% 1.47/1.67 (~always3(s36)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[186, 8052])).
% 1.47/1.67 tff(8058,plain,
% 1.47/1.67 (~always3(s35)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[198, 8057])).
% 1.47/1.67 tff(8059,plain,
% 1.47/1.67 (~node4(s35)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1620, 595, 8058])).
% 1.47/1.67 tff(8060,plain,
% 1.47/1.67 (~always3(s34)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[210, 8058])).
% 1.47/1.67 tff(8061,plain,
% 1.47/1.67 (xuntil6(s34)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2415, 8060])).
% 1.47/1.67 tff(8062,plain,
% 1.47/1.67 (until5(s35)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2420, 8061])).
% 1.47/1.67 tff(8063,plain,
% 1.47/1.67 (xuntil6(s35) | node4(s35)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2427, 614, 8062])).
% 1.47/1.67 tff(8064,plain,
% 1.47/1.67 (xuntil6(s35)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8063, 8059])).
% 1.47/1.67 tff(8065,plain,
% 1.47/1.67 (until5(s36)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2433, 8064])).
% 1.47/1.67 tff(8066,plain,
% 1.47/1.67 ($false),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8012, 8065, 8056, 8052])).
% 1.47/1.67 tff(8067,plain,(always3(s38) | xuntil6(s38)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.67 tff(8068,plain,
% 1.47/1.67 (always3(s38)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8067, 8051])).
% 1.47/1.67 tff(8069,plain,
% 1.47/1.67 (always3(s39)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[162, 8068])).
% 1.47/1.67 tff(8070,plain,
% 1.47/1.67 (((~![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)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8071,plain,
% 1.47/1.67 (((~m_main_v_state(s39, c_busy)) | (~always3(s39))) <=> ((~always3(s39)) | (~m_main_v_state(s39, c_busy)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8072,plain,
% 1.47/1.67 (((~![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))))),
% 1.47/1.67 inference(monotonicity,[status(thm)],[8071])).
% 1.47/1.67 tff(8073,plain,
% 1.47/1.67 (((~![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)))),
% 1.47/1.67 inference(transitivity,[status(thm)],[8072, 8070])).
% 1.47/1.67 tff(8074,plain,
% 1.47/1.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s39, c_busy)) | (~always3(s39)))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(8075,plain,
% 1.47/1.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s39)) | (~m_main_v_state(s39, c_busy))),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[8074, 8073])).
% 1.47/1.67 tff(8076,plain,
% 1.47/1.67 (~m_main_v_state(s39, c_busy)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8075, 3154, 8069])).
% 1.47/1.67 tff(8077,assumption,(until5(s38)), introduced(assumption)).
% 1.47/1.67 tff(8078,plain,
% 1.47/1.67 (xuntil6(s38) | node4(s38)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2473, 614, 8077])).
% 1.47/1.67 tff(8079,plain,
% 1.47/1.67 (node4(s38)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8078, 8051])).
% 1.47/1.67 tff(8080,plain,
% 1.47/1.67 (((~![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)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8081,plain,
% 1.47/1.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s38) | (~node4(s38)))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(8082,plain,
% 1.47/1.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s38) | (~node4(s38))),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[8081, 8080])).
% 1.47/1.67 tff(8083,plain,
% 1.47/1.67 (m_main_v_request(s38)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8082, 3141, 8079])).
% 1.47/1.67 tff(8084,plain,
% 1.47/1.67 (((~![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))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8085,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s38, s39)) | node2(s38, s39))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(8086,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s38, s39)) | node2(s38, s39)),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[8085, 8084])).
% 1.47/1.67 tff(8087,plain,
% 1.47/1.67 (node2(s38, s39)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8086, 7, 158])).
% 1.47/1.67 tff(8088,plain,
% 1.47/1.67 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8089,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(8090,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[8089, 8088])).
% 1.47/1.67 tff(8091,plain,
% 1.47/1.67 ((~m_main_v_state(s38, c_ready)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8090, 3175, 8087])).
% 1.47/1.67 tff(8092,plain,
% 1.47/1.67 (~m_main_v_state(s38, c_ready)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8091, 8083, 8076])).
% 1.47/1.67 tff(8093,plain,
% 1.47/1.67 (~m_main_v_state(s38, c_busy)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8021, 3154, 8068])).
% 1.47/1.67 tff(8094,plain,
% 1.47/1.67 (((~![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))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8095,plain,
% 1.47/1.67 ((~![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))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(8096,plain,
% 1.47/1.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s38, c_busy) | m_main_v_state(s38, c_ready)),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[8095, 8094])).
% 1.47/1.67 tff(8097,plain,
% 1.47/1.67 ($false),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8096, 19, 8093, 8092])).
% 1.47/1.67 tff(8098,plain,(xuntil6(s38) | (~until5(s38))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.67 tff(8099,plain,
% 1.47/1.67 (xuntil6(s38)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8098, 8050])).
% 1.47/1.67 tff(8100,plain,
% 1.47/1.67 (until5(s39)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2479, 8099])).
% 1.47/1.67 tff(8101,assumption,(~always3(s62)), introduced(assumption)).
% 1.47/1.67 tff(8102,plain,
% 1.47/1.67 (~always3(s61)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1443, 8101])).
% 1.47/1.67 tff(8103,plain,
% 1.47/1.67 (~always3(s60)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1455, 8102])).
% 1.47/1.67 tff(8104,plain,
% 1.47/1.67 (~always3(s59)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1467, 8103])).
% 1.47/1.67 tff(8105,plain,
% 1.47/1.67 (~always3(s58)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1479, 8104])).
% 1.47/1.67 tff(8106,plain,
% 1.47/1.67 (~always3(s57)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1491, 8105])).
% 1.47/1.67 tff(8107,plain,
% 1.47/1.67 (~always3(s56)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1503, 8106])).
% 1.47/1.67 tff(8108,plain,
% 1.47/1.67 (~always3(s55)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1515, 8107])).
% 1.47/1.67 tff(8109,plain,
% 1.47/1.67 (~always3(s54)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1527, 8108])).
% 1.47/1.67 tff(8110,plain,
% 1.47/1.67 (~always3(s53)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1539, 8109])).
% 1.47/1.67 tff(8111,plain,
% 1.47/1.67 (~always3(s52)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1551, 8110])).
% 1.47/1.67 tff(8112,plain,
% 1.47/1.67 (~always3(s51)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1563, 8111])).
% 1.47/1.67 tff(8113,plain,
% 1.47/1.67 (~always3(s50)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1575, 8112])).
% 1.47/1.67 tff(8114,plain,
% 1.47/1.67 (~always3(s49)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1587, 8113])).
% 1.47/1.67 tff(8115,plain,
% 1.47/1.67 (~always3(s48)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1599, 8114])).
% 1.47/1.67 tff(8116,plain,
% 1.47/1.67 (~always3(s47)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[54, 8115])).
% 1.47/1.67 tff(8117,plain,
% 1.47/1.67 (~always3(s46)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[66, 8116])).
% 1.47/1.67 tff(8118,plain,
% 1.47/1.67 (~always3(s45)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[78, 8117])).
% 1.47/1.67 tff(8119,plain,
% 1.47/1.67 (~node4(s45)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2585, 595, 8118])).
% 1.47/1.67 tff(8120,plain,
% 1.47/1.67 (~always3(s44)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[90, 8118])).
% 1.47/1.67 tff(8121,plain,
% 1.47/1.67 (~node4(s44)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2568, 595, 8120])).
% 1.47/1.67 tff(8122,assumption,(until5(s39)), introduced(assumption)).
% 1.47/1.67 tff(8123,plain,
% 1.47/1.67 (~always3(s43)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[102, 8120])).
% 1.47/1.67 tff(8124,plain,
% 1.47/1.67 (~always3(s42)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[114, 6187])).
% 1.47/1.67 tff(8125,plain,
% 1.47/1.67 (~always3(s41)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[126, 8124])).
% 1.47/1.67 tff(8126,plain,
% 1.47/1.67 (~always3(s40)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[138, 8125])).
% 1.47/1.67 tff(8127,plain,
% 1.47/1.67 (~node4(s40)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2500, 595, 8126])).
% 1.47/1.67 tff(8128,plain,
% 1.47/1.67 (~always3(s39)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[150, 8126])).
% 1.47/1.67 tff(8129,plain,
% 1.47/1.67 (~node4(s39)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2483, 595, 8128])).
% 1.47/1.67 tff(8130,plain,
% 1.47/1.67 (xuntil6(s39) | node4(s39)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2490, 614, 8122])).
% 1.47/1.67 tff(8131,plain,
% 1.47/1.67 (xuntil6(s39)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8130, 8129])).
% 1.47/1.67 tff(8132,plain,
% 1.47/1.67 (until5(s40)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2496, 8131])).
% 1.47/1.67 tff(8133,plain,
% 1.47/1.67 (xuntil6(s40)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2507, 614, 8132, 8127])).
% 1.47/1.67 tff(8134,plain,
% 1.47/1.67 (until5(s41)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2513, 8133])).
% 1.47/1.67 tff(8135,plain,
% 1.47/1.67 (~node4(s41)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2517, 595, 8125])).
% 1.47/1.67 tff(8136,plain,
% 1.47/1.67 (xuntil6(s41) | (~until5(s41))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2524, 614, 8135])).
% 1.47/1.67 tff(8137,plain,
% 1.47/1.67 (xuntil6(s41)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8136, 8134])).
% 1.47/1.67 tff(8138,plain,
% 1.47/1.67 (until5(s42)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2530, 8137])).
% 1.47/1.67 tff(8139,plain,
% 1.47/1.67 (~node4(s42)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2534, 595, 8124])).
% 1.47/1.67 tff(8140,plain,
% 1.47/1.67 (xuntil6(s42) | (~until5(s42))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2541, 614, 8139])).
% 1.47/1.67 tff(8141,plain,
% 1.47/1.67 (xuntil6(s42)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8140, 8138])).
% 1.47/1.67 tff(8142,plain,
% 1.47/1.67 (until5(s43)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2547, 8141])).
% 1.47/1.67 tff(8143,assumption,(~xuntil6(s43)), introduced(assumption)).
% 1.47/1.67 tff(8144,plain,
% 1.47/1.67 (node4(s43) | (~until5(s43))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2558, 614, 8143])).
% 1.47/1.67 tff(8145,plain,
% 1.47/1.67 (node4(s43)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8144, 8142])).
% 1.47/1.67 tff(8146,plain,
% 1.47/1.67 ($false),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2551, 595, 6187, 8145])).
% 1.47/1.67 tff(8147,plain,(always3(s43) | xuntil6(s43) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.67 tff(8148,plain,
% 1.47/1.67 (xuntil6(s43)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8147, 8123, 8122])).
% 1.47/1.67 tff(8149,plain,
% 1.47/1.67 (until5(s44)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2564, 8148])).
% 1.47/1.67 tff(8150,plain,
% 1.47/1.67 (xuntil6(s44) | node4(s44)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2575, 614, 8149])).
% 1.47/1.67 tff(8151,plain,
% 1.47/1.67 (xuntil6(s44)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8150, 8121])).
% 1.47/1.67 tff(8152,plain,
% 1.47/1.67 (until5(s45)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2581, 8151])).
% 1.47/1.67 tff(8153,plain,
% 1.47/1.67 (xuntil6(s45)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2592, 614, 8152, 8119])).
% 1.47/1.67 tff(8154,plain,
% 1.47/1.67 (until5(s46)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2598, 8153])).
% 1.47/1.67 tff(8155,plain,
% 1.47/1.67 (~node4(s46)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2602, 595, 8117])).
% 1.47/1.67 tff(8156,plain,
% 1.47/1.67 (xuntil6(s46) | (~until5(s46))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2609, 614, 8155])).
% 1.47/1.67 tff(8157,plain,
% 1.47/1.67 (xuntil6(s46)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8156, 8154])).
% 1.47/1.67 tff(8158,plain,
% 1.47/1.67 (until5(s47)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2615, 8157])).
% 1.47/1.67 tff(8159,plain,
% 1.47/1.67 (~node4(s47)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2619, 595, 8116])).
% 1.47/1.67 tff(8160,plain,
% 1.47/1.67 (xuntil6(s47) | (~until5(s47))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2626, 614, 8159])).
% 1.47/1.67 tff(8161,plain,
% 1.47/1.67 (xuntil6(s47)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8160, 8158])).
% 1.47/1.67 tff(8162,plain,
% 1.47/1.67 (until5(s48)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2632, 8161])).
% 1.47/1.67 tff(8163,plain,
% 1.47/1.67 (~node4(s48)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2636, 595, 8115])).
% 1.47/1.67 tff(8164,plain,
% 1.47/1.67 (xuntil6(s48) | (~until5(s48))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2643, 614, 8163])).
% 1.47/1.67 tff(8165,plain,
% 1.47/1.67 (xuntil6(s48)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8164, 8162])).
% 1.47/1.67 tff(8166,plain,
% 1.47/1.67 (until5(s49)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2649, 8165])).
% 1.47/1.67 tff(8167,plain,
% 1.47/1.67 (~node4(s49)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2653, 595, 8114])).
% 1.47/1.67 tff(8168,plain,
% 1.47/1.67 (xuntil6(s49) | (~until5(s49))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2660, 614, 8167])).
% 1.47/1.67 tff(8169,plain,
% 1.47/1.67 (xuntil6(s49)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8168, 8166])).
% 1.47/1.67 tff(8170,plain,
% 1.47/1.67 (until5(s50)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2666, 8169])).
% 1.47/1.67 tff(8171,plain,
% 1.47/1.67 (~node4(s50)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2670, 595, 8113])).
% 1.47/1.67 tff(8172,plain,
% 1.47/1.67 (xuntil6(s50) | (~until5(s50))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2677, 614, 8171])).
% 1.47/1.67 tff(8173,plain,
% 1.47/1.67 (xuntil6(s50)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8172, 8170])).
% 1.47/1.67 tff(8174,plain,
% 1.47/1.67 (until5(s51)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2683, 8173])).
% 1.47/1.67 tff(8175,plain,
% 1.47/1.67 (~node4(s51)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2687, 595, 8112])).
% 1.47/1.67 tff(8176,plain,
% 1.47/1.67 (xuntil6(s51) | (~until5(s51))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2694, 614, 8175])).
% 1.47/1.67 tff(8177,plain,
% 1.47/1.67 (xuntil6(s51)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8176, 8174])).
% 1.47/1.67 tff(8178,plain,
% 1.47/1.67 (until5(s52)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2700, 8177])).
% 1.47/1.67 tff(8179,plain,
% 1.47/1.67 (~node4(s52)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2704, 595, 8111])).
% 1.47/1.67 tff(8180,plain,
% 1.47/1.67 (xuntil6(s52) | (~until5(s52))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2711, 614, 8179])).
% 1.47/1.67 tff(8181,plain,
% 1.47/1.67 (xuntil6(s52)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8180, 8178])).
% 1.47/1.67 tff(8182,plain,
% 1.47/1.67 (until5(s53)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2717, 8181])).
% 1.47/1.67 tff(8183,plain,
% 1.47/1.67 (~node4(s53)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2721, 595, 8110])).
% 1.47/1.67 tff(8184,plain,
% 1.47/1.67 (xuntil6(s53) | (~until5(s53))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2728, 614, 8183])).
% 1.47/1.67 tff(8185,plain,
% 1.47/1.67 (xuntil6(s53)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8184, 8182])).
% 1.47/1.67 tff(8186,plain,
% 1.47/1.67 (until5(s54)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2734, 8185])).
% 1.47/1.67 tff(8187,plain,
% 1.47/1.67 (~node4(s54)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2738, 595, 8109])).
% 1.47/1.67 tff(8188,plain,
% 1.47/1.67 (xuntil6(s54) | (~until5(s54))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2745, 614, 8187])).
% 1.47/1.67 tff(8189,plain,
% 1.47/1.67 (xuntil6(s54)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8188, 8186])).
% 1.47/1.67 tff(8190,plain,
% 1.47/1.67 (until5(s55)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2751, 8189])).
% 1.47/1.67 tff(8191,plain,
% 1.47/1.67 (~node4(s55)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2755, 595, 8108])).
% 1.47/1.67 tff(8192,plain,
% 1.47/1.67 (xuntil6(s55) | (~until5(s55))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2762, 614, 8191])).
% 1.47/1.67 tff(8193,plain,
% 1.47/1.67 (xuntil6(s55)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8192, 8190])).
% 1.47/1.67 tff(8194,plain,
% 1.47/1.67 (until5(s56)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2768, 8193])).
% 1.47/1.67 tff(8195,plain,
% 1.47/1.67 (~node4(s56)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2772, 595, 8107])).
% 1.47/1.67 tff(8196,plain,
% 1.47/1.67 (xuntil6(s56) | (~until5(s56))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2779, 614, 8195])).
% 1.47/1.67 tff(8197,plain,
% 1.47/1.67 (xuntil6(s56)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8196, 8194])).
% 1.47/1.67 tff(8198,plain,
% 1.47/1.67 (until5(s57)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2785, 8197])).
% 1.47/1.67 tff(8199,plain,
% 1.47/1.67 (~node4(s57)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2789, 595, 8106])).
% 1.47/1.67 tff(8200,plain,
% 1.47/1.67 (xuntil6(s57) | (~until5(s57))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2796, 614, 8199])).
% 1.47/1.67 tff(8201,plain,
% 1.47/1.67 (xuntil6(s57)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8200, 8198])).
% 1.47/1.67 tff(8202,plain,
% 1.47/1.67 (until5(s58)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2802, 8201])).
% 1.47/1.67 tff(8203,plain,
% 1.47/1.67 (~node4(s58)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2806, 595, 8105])).
% 1.47/1.67 tff(8204,plain,
% 1.47/1.67 (xuntil6(s58) | (~until5(s58))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2813, 614, 8203])).
% 1.47/1.67 tff(8205,plain,
% 1.47/1.67 (xuntil6(s58)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8204, 8202])).
% 1.47/1.67 tff(8206,plain,
% 1.47/1.67 (until5(s59)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2819, 8205])).
% 1.47/1.67 tff(8207,plain,
% 1.47/1.67 (~node4(s59)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2823, 595, 8104])).
% 1.47/1.67 tff(8208,plain,
% 1.47/1.67 (xuntil6(s59) | (~until5(s59))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2830, 614, 8207])).
% 1.47/1.67 tff(8209,plain,
% 1.47/1.67 (xuntil6(s59)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8208, 8206])).
% 1.47/1.67 tff(8210,plain,
% 1.47/1.67 (until5(s60)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2836, 8209])).
% 1.47/1.67 tff(8211,plain,
% 1.47/1.67 (~node4(s60)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2840, 595, 8103])).
% 1.47/1.67 tff(8212,plain,
% 1.47/1.67 (xuntil6(s60) | (~until5(s60))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2847, 614, 8211])).
% 1.47/1.67 tff(8213,plain,
% 1.47/1.67 (xuntil6(s60)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8212, 8210])).
% 1.47/1.67 tff(8214,plain,
% 1.47/1.67 (until5(s61)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2853, 8213])).
% 1.47/1.67 tff(8215,plain,
% 1.47/1.67 (~node4(s61)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2857, 595, 8102])).
% 1.47/1.67 tff(8216,plain,
% 1.47/1.67 (xuntil6(s61) | (~until5(s61))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2864, 614, 8215])).
% 1.47/1.67 tff(8217,plain,
% 1.47/1.67 (xuntil6(s61)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8216, 8214])).
% 1.47/1.67 tff(8218,plain,
% 1.47/1.67 (until5(s62)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2870, 8217])).
% 1.47/1.67 tff(8219,assumption,(~xuntil6(s62)), introduced(assumption)).
% 1.47/1.67 tff(8220,plain,
% 1.47/1.67 (node4(s62) | (~until5(s62))),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2881, 614, 8219])).
% 1.47/1.67 tff(8221,plain,
% 1.47/1.67 (node4(s62)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8220, 8218])).
% 1.47/1.67 tff(8222,plain,
% 1.47/1.67 ($false),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2874, 595, 8101, 8221])).
% 1.47/1.67 tff(8223,plain,(always3(s62) | xuntil6(s62) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.47/1.67 tff(8224,plain,
% 1.47/1.67 (always3(s62) | xuntil6(s62)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8223, 8100])).
% 1.47/1.67 tff(8225,plain,
% 1.47/1.67 (xuntil6(s62)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8224, 6489])).
% 1.47/1.67 tff(8226,plain,
% 1.47/1.67 (until5(s63)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[2887, 8225])).
% 1.47/1.67 tff(8227,assumption,(~trans(s99, s15)), introduced(assumption)).
% 1.47/1.67 tff(8228,assumption,(~trans(s99, s48)), introduced(assumption)).
% 1.47/1.67 tff(8229,assumption,(~trans(s99, s39)), introduced(assumption)).
% 1.47/1.67 tff(8230,plain,
% 1.47/1.67 (~always3(s61)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1443, 6489])).
% 1.47/1.67 tff(8231,plain,
% 1.47/1.67 (~always3(s60)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1455, 8230])).
% 1.47/1.67 tff(8232,plain,
% 1.47/1.67 (~always3(s59)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1467, 8231])).
% 1.47/1.67 tff(8233,plain,
% 1.47/1.67 (~always3(s58)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1479, 8232])).
% 1.47/1.67 tff(8234,assumption,(~always3(s58)), introduced(assumption)).
% 1.47/1.67 tff(8235,plain,
% 1.47/1.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s58) | (~trans(s99, s58)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s58) | (~trans(s99, s58)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8236,plain,
% 1.47/1.67 (((~trans(s99, s58)) | (~always3(s99)) | always3(s58)) <=> ((~always3(s99)) | always3(s58) | (~trans(s99, s58)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8237,plain,
% 1.47/1.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s58)) | (~always3(s99)) | always3(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s58) | (~trans(s99, s58))))),
% 1.47/1.67 inference(monotonicity,[status(thm)],[8236])).
% 1.47/1.67 tff(8238,plain,
% 1.47/1.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s58)) | (~always3(s99)) | always3(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s58) | (~trans(s99, s58)))),
% 1.47/1.67 inference(transitivity,[status(thm)],[8237, 8235])).
% 1.47/1.67 tff(8239,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s58)) | (~always3(s99)) | always3(s58))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(8240,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s58) | (~trans(s99, s58))),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[8239, 8238])).
% 1.47/1.67 tff(8241,plain,
% 1.47/1.67 ($false),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8240, 4349, 50, 5934, 8234])).
% 1.47/1.67 tff(8242,plain,((~trans(s99, s58)) | (~always3(s99)) | always3(s58)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.67 tff(8243,plain,
% 1.47/1.67 ((~trans(s99, s58)) | always3(s58)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8242, 5932])).
% 1.47/1.67 tff(8244,plain,
% 1.47/1.67 (~trans(s99, s58)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8243, 8233])).
% 1.47/1.67 tff(8245,plain,
% 1.47/1.67 (~always3(s57)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1491, 8233])).
% 1.47/1.67 tff(8246,plain,
% 1.47/1.67 (~always3(s56)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1503, 8245])).
% 1.47/1.67 tff(8247,plain,
% 1.47/1.67 (~always3(s55)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1515, 8246])).
% 1.47/1.67 tff(8248,plain,
% 1.47/1.67 (~always3(s54)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[1527, 8247])).
% 1.47/1.67 tff(8249,assumption,(~always3(s54)), introduced(assumption)).
% 1.47/1.67 tff(8250,plain,
% 1.47/1.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s54) | (~trans(s99, s54)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s54) | (~trans(s99, s54)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8251,plain,
% 1.47/1.67 (((~trans(s99, s54)) | (~always3(s99)) | always3(s54)) <=> ((~always3(s99)) | always3(s54) | (~trans(s99, s54)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8252,plain,
% 1.47/1.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s54)) | (~always3(s99)) | always3(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s54) | (~trans(s99, s54))))),
% 1.47/1.67 inference(monotonicity,[status(thm)],[8251])).
% 1.47/1.67 tff(8253,plain,
% 1.47/1.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s54)) | (~always3(s99)) | always3(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s54) | (~trans(s99, s54)))),
% 1.47/1.67 inference(transitivity,[status(thm)],[8252, 8250])).
% 1.47/1.67 tff(8254,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s54)) | (~always3(s99)) | always3(s54))),
% 1.47/1.67 inference(quant_inst,[status(thm)],[])).
% 1.47/1.67 tff(8255,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s54) | (~trans(s99, s54))),
% 1.47/1.67 inference(modus_ponens,[status(thm)],[8254, 8253])).
% 1.47/1.67 tff(8256,plain,
% 1.47/1.67 ($false),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8255, 4393, 50, 5934, 8249])).
% 1.47/1.67 tff(8257,plain,((~trans(s99, s54)) | (~always3(s99)) | always3(s54)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.67 tff(8258,plain,
% 1.47/1.67 ((~trans(s99, s54)) | always3(s54)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8257, 5932])).
% 1.47/1.67 tff(8259,plain,
% 1.47/1.67 (~trans(s99, s54)),
% 1.47/1.67 inference(unit_resolution,[status(thm)],[8258, 8248])).
% 1.47/1.67 tff(8260,assumption,(~trans(s99, s41)), introduced(assumption)).
% 1.47/1.67 tff(8261,assumption,(~always3(s61)), introduced(assumption)).
% 1.47/1.67 tff(8262,plain,
% 1.47/1.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s61) | (~trans(s99, s61)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s61) | (~trans(s99, s61)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8263,plain,
% 1.47/1.67 (((~trans(s99, s61)) | (~always3(s99)) | always3(s61)) <=> ((~always3(s99)) | always3(s61) | (~trans(s99, s61)))),
% 1.47/1.67 inference(rewrite,[status(thm)],[])).
% 1.47/1.67 tff(8264,plain,
% 1.47/1.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s61)) | (~always3(s99)) | always3(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s61) | (~trans(s99, s61))))),
% 1.47/1.67 inference(monotonicity,[status(thm)],[8263])).
% 1.47/1.67 tff(8265,plain,
% 1.47/1.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s61)) | (~always3(s99)) | always3(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s61) | (~trans(s99, s61)))),
% 1.47/1.67 inference(transitivity,[status(thm)],[8264, 8262])).
% 1.47/1.67 tff(8266,plain,
% 1.47/1.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s61)) | (~always3(s99)) | always3(s61))),
% 1.47/1.68 inference(quant_inst,[status(thm)],[])).
% 1.47/1.68 tff(8267,plain,
% 1.47/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s61) | (~trans(s99, s61))),
% 1.47/1.68 inference(modus_ponens,[status(thm)],[8266, 8265])).
% 1.47/1.68 tff(8268,plain,
% 1.47/1.68 ($false),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8267, 4437, 50, 5934, 8261])).
% 1.47/1.68 tff(8269,plain,((~trans(s99, s61)) | (~always3(s99)) | always3(s61)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.68 tff(8270,plain,
% 1.47/1.68 ((~trans(s99, s61)) | always3(s61)),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8269, 5932])).
% 1.47/1.68 tff(8271,plain,
% 1.47/1.68 (~trans(s99, s61)),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8270, 8230])).
% 1.47/1.68 tff(8272,assumption,(~trans(s99, s19)), introduced(assumption)).
% 1.47/1.68 tff(8273,assumption,(~trans(s99, s44)), introduced(assumption)).
% 1.47/1.68 tff(8274,assumption,(~trans(s99, s38)), introduced(assumption)).
% 1.47/1.68 tff(8275,assumption,(~trans(s99, s2)), introduced(assumption)).
% 1.47/1.68 tff(8276,assumption,(~trans(s99, s4)), introduced(assumption)).
% 1.47/1.68 tff(8277,assumption,(~trans(s99, s37)), introduced(assumption)).
% 1.47/1.68 tff(8278,assumption,(~trans(s99, s13)), introduced(assumption)).
% 1.47/1.68 tff(8279,assumption,(~trans(s99, s42)), introduced(assumption)).
% 1.47/1.68 tff(8280,assumption,(~trans(s99, s47)), introduced(assumption)).
% 1.47/1.68 tff(8281,assumption,(~trans(s99, s25)), introduced(assumption)).
% 1.47/1.68 tff(8282,plain,
% 1.47/1.68 (~always3(s53)),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[1539, 8248])).
% 1.47/1.68 tff(8283,assumption,(~always3(s53)), introduced(assumption)).
% 1.47/1.68 tff(8284,plain,
% 1.47/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s53) | (~trans(s99, s53)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s53) | (~trans(s99, s53)))),
% 1.47/1.68 inference(rewrite,[status(thm)],[])).
% 1.47/1.68 tff(8285,plain,
% 1.47/1.68 (((~trans(s99, s53)) | (~always3(s99)) | always3(s53)) <=> ((~always3(s99)) | always3(s53) | (~trans(s99, s53)))),
% 1.47/1.68 inference(rewrite,[status(thm)],[])).
% 1.47/1.68 tff(8286,plain,
% 1.47/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s53)) | (~always3(s99)) | always3(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s53) | (~trans(s99, s53))))),
% 1.47/1.68 inference(monotonicity,[status(thm)],[8285])).
% 1.47/1.68 tff(8287,plain,
% 1.47/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s53)) | (~always3(s99)) | always3(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s53) | (~trans(s99, s53)))),
% 1.47/1.68 inference(transitivity,[status(thm)],[8286, 8284])).
% 1.47/1.68 tff(8288,plain,
% 1.47/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s53)) | (~always3(s99)) | always3(s53))),
% 1.47/1.68 inference(quant_inst,[status(thm)],[])).
% 1.47/1.68 tff(8289,plain,
% 1.47/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s53) | (~trans(s99, s53))),
% 1.47/1.68 inference(modus_ponens,[status(thm)],[8288, 8287])).
% 1.47/1.68 tff(8290,plain,
% 1.47/1.68 ($false),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8289, 4781, 50, 5934, 8283])).
% 1.47/1.68 tff(8291,plain,((~trans(s99, s53)) | (~always3(s99)) | always3(s53)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.68 tff(8292,plain,
% 1.47/1.68 ((~trans(s99, s53)) | always3(s53)),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8291, 5932])).
% 1.47/1.68 tff(8293,plain,
% 1.47/1.68 (~trans(s99, s53)),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8292, 8282])).
% 1.47/1.68 tff(8294,assumption,(~trans(s99, s22)), introduced(assumption)).
% 1.47/1.68 tff(8295,assumption,(~trans(s99, s28)), introduced(assumption)).
% 1.47/1.68 tff(8296,assumption,(~trans(s99, s34)), introduced(assumption)).
% 1.47/1.68 tff(8297,assumption,(~trans(s99, s11)), introduced(assumption)).
% 1.47/1.68 tff(8298,assumption,(~trans(s99, s5)), introduced(assumption)).
% 1.47/1.68 tff(8299,assumption,(~trans(s99, s20)), introduced(assumption)).
% 1.47/1.68 tff(8300,assumption,(~trans(s99, s36)), introduced(assumption)).
% 1.47/1.68 tff(8301,assumption,(~trans(s99, s43)), introduced(assumption)).
% 1.47/1.68 tff(8302,assumption,(~trans(s99, s10)), introduced(assumption)).
% 1.47/1.68 tff(8303,plain,
% 1.47/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s62) | (~trans(s99, s62)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s62) | (~trans(s99, s62)))),
% 1.47/1.68 inference(rewrite,[status(thm)],[])).
% 1.47/1.68 tff(8304,plain,
% 1.47/1.68 (((~trans(s99, s62)) | (~always3(s99)) | always3(s62)) <=> ((~always3(s99)) | always3(s62) | (~trans(s99, s62)))),
% 1.47/1.68 inference(rewrite,[status(thm)],[])).
% 1.47/1.68 tff(8305,plain,
% 1.47/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s62)) | (~always3(s99)) | always3(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s62) | (~trans(s99, s62))))),
% 1.47/1.68 inference(monotonicity,[status(thm)],[8304])).
% 1.47/1.68 tff(8306,plain,
% 1.47/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s62)) | (~always3(s99)) | always3(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s62) | (~trans(s99, s62)))),
% 1.47/1.68 inference(transitivity,[status(thm)],[8305, 8303])).
% 1.47/1.68 tff(8307,plain,
% 1.47/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s62)) | (~always3(s99)) | always3(s62))),
% 1.47/1.68 inference(quant_inst,[status(thm)],[])).
% 1.47/1.68 tff(8308,plain,
% 1.47/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s62) | (~trans(s99, s62))),
% 1.47/1.68 inference(modus_ponens,[status(thm)],[8307, 8306])).
% 1.47/1.68 tff(8309,plain,
% 1.47/1.68 ($false),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8308, 4968, 50, 5934, 8101])).
% 1.47/1.68 tff(8310,plain,((~trans(s99, s62)) | (~always3(s99)) | always3(s62)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.68 tff(8311,plain,
% 1.47/1.68 ((~trans(s99, s62)) | always3(s62)),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8310, 5932])).
% 1.47/1.68 tff(8312,plain,
% 1.47/1.68 (~trans(s99, s62)),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8311, 6489])).
% 1.47/1.68 tff(8313,assumption,(~always3(s56)), introduced(assumption)).
% 1.47/1.68 tff(8314,plain,
% 1.47/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s56) | (~trans(s99, s56)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s56) | (~trans(s99, s56)))),
% 1.47/1.68 inference(rewrite,[status(thm)],[])).
% 1.47/1.68 tff(8315,plain,
% 1.47/1.68 (((~trans(s99, s56)) | (~always3(s99)) | always3(s56)) <=> ((~always3(s99)) | always3(s56) | (~trans(s99, s56)))),
% 1.47/1.68 inference(rewrite,[status(thm)],[])).
% 1.47/1.68 tff(8316,plain,
% 1.47/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s56)) | (~always3(s99)) | always3(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s56) | (~trans(s99, s56))))),
% 1.47/1.68 inference(monotonicity,[status(thm)],[8315])).
% 1.47/1.68 tff(8317,plain,
% 1.47/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s56)) | (~always3(s99)) | always3(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s56) | (~trans(s99, s56)))),
% 1.47/1.68 inference(transitivity,[status(thm)],[8316, 8314])).
% 1.47/1.68 tff(8318,plain,
% 1.47/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s56)) | (~always3(s99)) | always3(s56))),
% 1.47/1.68 inference(quant_inst,[status(thm)],[])).
% 1.47/1.68 tff(8319,plain,
% 1.47/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s56) | (~trans(s99, s56))),
% 1.47/1.68 inference(modus_ponens,[status(thm)],[8318, 8317])).
% 1.47/1.68 tff(8320,plain,
% 1.47/1.68 ($false),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8319, 4979, 50, 5934, 8313])).
% 1.47/1.68 tff(8321,plain,((~trans(s99, s56)) | (~always3(s99)) | always3(s56)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.68 tff(8322,plain,
% 1.47/1.68 ((~trans(s99, s56)) | always3(s56)),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8321, 5932])).
% 1.47/1.68 tff(8323,plain,
% 1.47/1.68 (~trans(s99, s56)),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8322, 8246])).
% 1.47/1.68 tff(8324,plain,
% 1.47/1.68 (~always3(s52)),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[1551, 8282])).
% 1.47/1.68 tff(8325,plain,
% 1.47/1.68 (~always3(s51)),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[1563, 8324])).
% 1.47/1.68 tff(8326,plain,
% 1.47/1.68 (~always3(s50)),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[1575, 8325])).
% 1.47/1.68 tff(8327,assumption,(~always3(s50)), introduced(assumption)).
% 1.47/1.68 tff(8328,plain,
% 1.47/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s50) | (~trans(s99, s50)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s50) | (~trans(s99, s50)))),
% 1.47/1.68 inference(rewrite,[status(thm)],[])).
% 1.47/1.68 tff(8329,plain,
% 1.47/1.68 (((~trans(s99, s50)) | (~always3(s99)) | always3(s50)) <=> ((~always3(s99)) | always3(s50) | (~trans(s99, s50)))),
% 1.47/1.68 inference(rewrite,[status(thm)],[])).
% 1.47/1.68 tff(8330,plain,
% 1.47/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s50)) | (~always3(s99)) | always3(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s50) | (~trans(s99, s50))))),
% 1.47/1.68 inference(monotonicity,[status(thm)],[8329])).
% 1.47/1.68 tff(8331,plain,
% 1.47/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s50)) | (~always3(s99)) | always3(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s50) | (~trans(s99, s50)))),
% 1.47/1.68 inference(transitivity,[status(thm)],[8330, 8328])).
% 1.47/1.68 tff(8332,plain,
% 1.47/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s50)) | (~always3(s99)) | always3(s50))),
% 1.47/1.68 inference(quant_inst,[status(thm)],[])).
% 1.47/1.68 tff(8333,plain,
% 1.47/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s50) | (~trans(s99, s50))),
% 1.47/1.68 inference(modus_ponens,[status(thm)],[8332, 8331])).
% 1.47/1.68 tff(8334,plain,
% 1.47/1.68 ($false),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8333, 4990, 50, 5934, 8327])).
% 1.47/1.68 tff(8335,plain,((~trans(s99, s50)) | (~always3(s99)) | always3(s50)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.68 tff(8336,plain,
% 1.47/1.68 ((~trans(s99, s50)) | always3(s50)),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8335, 5932])).
% 1.47/1.68 tff(8337,plain,
% 1.47/1.68 (~trans(s99, s50)),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8336, 8326])).
% 1.47/1.68 tff(8338,assumption,(~trans(s99, s12)), introduced(assumption)).
% 1.47/1.68 tff(8339,assumption,(~always3(s51)), introduced(assumption)).
% 1.47/1.68 tff(8340,plain,
% 1.47/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s51) | (~trans(s99, s51)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s51) | (~trans(s99, s51)))),
% 1.47/1.68 inference(rewrite,[status(thm)],[])).
% 1.47/1.68 tff(8341,plain,
% 1.47/1.68 (((~trans(s99, s51)) | (~always3(s99)) | always3(s51)) <=> ((~always3(s99)) | always3(s51) | (~trans(s99, s51)))),
% 1.47/1.68 inference(rewrite,[status(thm)],[])).
% 1.47/1.68 tff(8342,plain,
% 1.47/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s51)) | (~always3(s99)) | always3(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s51) | (~trans(s99, s51))))),
% 1.47/1.68 inference(monotonicity,[status(thm)],[8341])).
% 1.47/1.68 tff(8343,plain,
% 1.47/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s51)) | (~always3(s99)) | always3(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s51) | (~trans(s99, s51)))),
% 1.47/1.68 inference(transitivity,[status(thm)],[8342, 8340])).
% 1.47/1.68 tff(8344,plain,
% 1.47/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s51)) | (~always3(s99)) | always3(s51))),
% 1.47/1.68 inference(quant_inst,[status(thm)],[])).
% 1.47/1.68 tff(8345,plain,
% 1.47/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s51) | (~trans(s99, s51))),
% 1.47/1.68 inference(modus_ponens,[status(thm)],[8344, 8343])).
% 1.47/1.68 tff(8346,plain,
% 1.47/1.68 ($false),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8345, 5034, 50, 5934, 8339])).
% 1.47/1.68 tff(8347,plain,((~trans(s99, s51)) | (~always3(s99)) | always3(s51)), inference(lemma,lemma(discharge,[]))).
% 1.47/1.68 tff(8348,plain,
% 1.47/1.68 ((~trans(s99, s51)) | always3(s51)),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8347, 5932])).
% 1.47/1.68 tff(8349,plain,
% 1.47/1.68 (~trans(s99, s51)),
% 1.47/1.68 inference(unit_resolution,[status(thm)],[8348, 8325])).
% 1.47/1.68 tff(8350,assumption,(~trans(s99, s18)), introduced(assumption)).
% 1.47/1.68 tff(8351,assumption,(~trans(s99, s45)), introduced(assumption)).
% 1.47/1.68 tff(8352,assumption,(~trans(s99, s26)), introduced(assumption)).
% 1.47/1.68 tff(8353,assumption,(~trans(s99, s8)), introduced(assumption)).
% 1.47/1.68 tff(8354,assumption,(~trans(s99, s35)), introduced(assumption)).
% 1.47/1.68 tff(8355,assumption,(~trans(s99, s30)), introduced(assumption)).
% 1.47/1.68 tff(8356,assumption,(~trans(s99, s0)), introduced(assumption)).
% 1.47/1.68 tff(8357,assumption,(~trans(s99, s3)), introduced(assumption)).
% 1.47/1.68 tff(8358,assumption,(~trans(s99, s23)), introduced(assumption)).
% 1.47/1.68 tff(8359,assumption,(~trans(s99, s27)), introduced(assumption)).
% 1.47/1.68 tff(8360,assumption,(~trans(s99, s24)), introduced(assumption)).
% 1.47/1.68 tff(8361,assumption,(~always3(s52)), introduced(assumption)).
% 1.47/1.68 tff(8362,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s52) | (~trans(s99, s52)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s52) | (~trans(s99, s52)))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(8363,plain,
% 1.52/1.68 (((~trans(s99, s52)) | (~always3(s99)) | always3(s52)) <=> ((~always3(s99)) | always3(s52) | (~trans(s99, s52)))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(8364,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s52)) | (~always3(s99)) | always3(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s52) | (~trans(s99, s52))))),
% 1.52/1.68 inference(monotonicity,[status(thm)],[8363])).
% 1.52/1.68 tff(8365,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s52)) | (~always3(s99)) | always3(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s52) | (~trans(s99, s52)))),
% 1.52/1.68 inference(transitivity,[status(thm)],[8364, 8362])).
% 1.52/1.68 tff(8366,plain,
% 1.52/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s52)) | (~always3(s99)) | always3(s52))),
% 1.52/1.68 inference(quant_inst,[status(thm)],[])).
% 1.52/1.68 tff(8367,plain,
% 1.52/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s52) | (~trans(s99, s52))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[8366, 8365])).
% 1.52/1.68 tff(8368,plain,
% 1.52/1.68 ($false),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8367, 5520, 50, 5934, 8361])).
% 1.52/1.68 tff(8369,plain,((~trans(s99, s52)) | (~always3(s99)) | always3(s52)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.68 tff(8370,plain,
% 1.52/1.68 ((~trans(s99, s52)) | always3(s52)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8369, 5932])).
% 1.52/1.68 tff(8371,plain,
% 1.52/1.68 (~trans(s99, s52)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8370, 8324])).
% 1.52/1.68 tff(8372,assumption,(~always3(s55)), introduced(assumption)).
% 1.52/1.68 tff(8373,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s55) | (~trans(s99, s55)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s55) | (~trans(s99, s55)))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(8374,plain,
% 1.52/1.68 (((~trans(s99, s55)) | (~always3(s99)) | always3(s55)) <=> ((~always3(s99)) | always3(s55) | (~trans(s99, s55)))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(8375,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s55)) | (~always3(s99)) | always3(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s55) | (~trans(s99, s55))))),
% 1.52/1.68 inference(monotonicity,[status(thm)],[8374])).
% 1.52/1.68 tff(8376,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s55)) | (~always3(s99)) | always3(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s55) | (~trans(s99, s55)))),
% 1.52/1.68 inference(transitivity,[status(thm)],[8375, 8373])).
% 1.52/1.68 tff(8377,plain,
% 1.52/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s55)) | (~always3(s99)) | always3(s55))),
% 1.52/1.68 inference(quant_inst,[status(thm)],[])).
% 1.52/1.68 tff(8378,plain,
% 1.52/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s55) | (~trans(s99, s55))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[8377, 8376])).
% 1.52/1.68 tff(8379,plain,
% 1.52/1.68 ($false),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8378, 5267, 50, 5934, 8372])).
% 1.52/1.68 tff(8380,plain,((~trans(s99, s55)) | (~always3(s99)) | always3(s55)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.68 tff(8381,plain,
% 1.52/1.68 ((~trans(s99, s55)) | always3(s55)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8380, 5932])).
% 1.52/1.68 tff(8382,plain,
% 1.52/1.68 (~trans(s99, s55)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8381, 8247])).
% 1.52/1.68 tff(8383,assumption,(~trans(s99, s32)), introduced(assumption)).
% 1.52/1.68 tff(8384,assumption,(~trans(s99, s14)), introduced(assumption)).
% 1.52/1.68 tff(8385,assumption,(~always3(s57)), introduced(assumption)).
% 1.52/1.68 tff(8386,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s57) | (~trans(s99, s57)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s57) | (~trans(s99, s57)))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(8387,plain,
% 1.52/1.68 (((~trans(s99, s57)) | (~always3(s99)) | always3(s57)) <=> ((~always3(s99)) | always3(s57) | (~trans(s99, s57)))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(8388,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s57)) | (~always3(s99)) | always3(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s57) | (~trans(s99, s57))))),
% 1.52/1.68 inference(monotonicity,[status(thm)],[8387])).
% 1.52/1.68 tff(8389,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s57)) | (~always3(s99)) | always3(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s57) | (~trans(s99, s57)))),
% 1.52/1.68 inference(transitivity,[status(thm)],[8388, 8386])).
% 1.52/1.68 tff(8390,plain,
% 1.52/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s57)) | (~always3(s99)) | always3(s57))),
% 1.52/1.68 inference(quant_inst,[status(thm)],[])).
% 1.52/1.68 tff(8391,plain,
% 1.52/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s57) | (~trans(s99, s57))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[8390, 8389])).
% 1.52/1.68 tff(8392,plain,
% 1.52/1.68 ($false),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8391, 5300, 50, 5934, 8385])).
% 1.52/1.68 tff(8393,plain,((~trans(s99, s57)) | (~always3(s99)) | always3(s57)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.68 tff(8394,plain,
% 1.52/1.68 ((~trans(s99, s57)) | always3(s57)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8393, 5932])).
% 1.52/1.68 tff(8395,plain,
% 1.52/1.68 (~trans(s99, s57)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8394, 8245])).
% 1.52/1.68 tff(8396,assumption,(~trans(s99, s17)), introduced(assumption)).
% 1.52/1.68 tff(8397,assumption,(~always3(s60)), introduced(assumption)).
% 1.52/1.68 tff(8398,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s60) | (~trans(s99, s60)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s60) | (~trans(s99, s60)))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(8399,plain,
% 1.52/1.68 (((~trans(s99, s60)) | (~always3(s99)) | always3(s60)) <=> ((~always3(s99)) | always3(s60) | (~trans(s99, s60)))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(8400,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s60)) | (~always3(s99)) | always3(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s60) | (~trans(s99, s60))))),
% 1.52/1.68 inference(monotonicity,[status(thm)],[8399])).
% 1.52/1.68 tff(8401,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s60)) | (~always3(s99)) | always3(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s60) | (~trans(s99, s60)))),
% 1.52/1.68 inference(transitivity,[status(thm)],[8400, 8398])).
% 1.52/1.68 tff(8402,plain,
% 1.52/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s60)) | (~always3(s99)) | always3(s60))),
% 1.52/1.68 inference(quant_inst,[status(thm)],[])).
% 1.52/1.68 tff(8403,plain,
% 1.52/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s60) | (~trans(s99, s60))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[8402, 8401])).
% 1.52/1.68 tff(8404,plain,
% 1.52/1.68 ($false),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8403, 5322, 50, 5934, 8397])).
% 1.52/1.68 tff(8405,plain,((~trans(s99, s60)) | (~always3(s99)) | always3(s60)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.68 tff(8406,plain,
% 1.52/1.68 ((~trans(s99, s60)) | always3(s60)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8405, 5932])).
% 1.52/1.68 tff(8407,plain,
% 1.52/1.68 (~trans(s99, s60)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8406, 8231])).
% 1.52/1.68 tff(8408,assumption,(~trans(s99, s7)), introduced(assumption)).
% 1.52/1.68 tff(8409,assumption,(~always3(s59)), introduced(assumption)).
% 1.52/1.68 tff(8410,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s59) | (~trans(s99, s59)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s59) | (~trans(s99, s59)))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(8411,plain,
% 1.52/1.68 (((~trans(s99, s59)) | (~always3(s99)) | always3(s59)) <=> ((~always3(s99)) | always3(s59) | (~trans(s99, s59)))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(8412,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s59)) | (~always3(s99)) | always3(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s59) | (~trans(s99, s59))))),
% 1.52/1.68 inference(monotonicity,[status(thm)],[8411])).
% 1.52/1.68 tff(8413,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s59)) | (~always3(s99)) | always3(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s59) | (~trans(s99, s59)))),
% 1.52/1.68 inference(transitivity,[status(thm)],[8412, 8410])).
% 1.52/1.68 tff(8414,plain,
% 1.52/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s59)) | (~always3(s99)) | always3(s59))),
% 1.52/1.68 inference(quant_inst,[status(thm)],[])).
% 1.52/1.68 tff(8415,plain,
% 1.52/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s59) | (~trans(s99, s59))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[8414, 8413])).
% 1.52/1.68 tff(8416,plain,
% 1.52/1.68 ($false),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8415, 5344, 50, 5934, 8409])).
% 1.52/1.68 tff(8417,plain,((~trans(s99, s59)) | (~always3(s99)) | always3(s59)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.68 tff(8418,plain,
% 1.52/1.68 ((~trans(s99, s59)) | always3(s59)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8417, 5932])).
% 1.52/1.68 tff(8419,plain,
% 1.52/1.68 (~trans(s99, s59)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8418, 8232])).
% 1.52/1.68 tff(8420,assumption,(~trans(s99, s1)), introduced(assumption)).
% 1.52/1.68 tff(8421,assumption,(~trans(s99, s29)), introduced(assumption)).
% 1.52/1.68 tff(8422,assumption,(~trans(s99, s40)), introduced(assumption)).
% 1.52/1.68 tff(8423,assumption,(~trans(s99, s16)), introduced(assumption)).
% 1.52/1.68 tff(8424,assumption,(~trans(s99, s6)), introduced(assumption)).
% 1.52/1.68 tff(8425,assumption,(~trans(s99, s33)), introduced(assumption)).
% 1.52/1.68 tff(8426,assumption,(~trans(s99, s21)), introduced(assumption)).
% 1.52/1.68 tff(8427,assumption,(~trans(s99, s31)), introduced(assumption)).
% 1.52/1.68 tff(8428,assumption,(~trans(s99, s9)), introduced(assumption)).
% 1.52/1.68 tff(8429,assumption,(~trans(s99, s46)), introduced(assumption)).
% 1.52/1.68 tff(8430,plain,
% 1.52/1.68 (~always3(s49)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1587, 8326])).
% 1.52/1.68 tff(8431,assumption,(~always3(s49)), introduced(assumption)).
% 1.52/1.68 tff(8432,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s49) | (~trans(s99, s49)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s49) | (~trans(s99, s49)))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(8433,plain,
% 1.52/1.68 (((~trans(s99, s49)) | (~always3(s99)) | always3(s49)) <=> ((~always3(s99)) | always3(s49) | (~trans(s99, s49)))),
% 1.52/1.68 inference(rewrite,[status(thm)],[])).
% 1.52/1.68 tff(8434,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s49)) | (~always3(s99)) | always3(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s49) | (~trans(s99, s49))))),
% 1.52/1.68 inference(monotonicity,[status(thm)],[8433])).
% 1.52/1.68 tff(8435,plain,
% 1.52/1.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s49)) | (~always3(s99)) | always3(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s49) | (~trans(s99, s49)))),
% 1.52/1.68 inference(transitivity,[status(thm)],[8434, 8432])).
% 1.52/1.68 tff(8436,plain,
% 1.52/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s49)) | (~always3(s99)) | always3(s49))),
% 1.52/1.68 inference(quant_inst,[status(thm)],[])).
% 1.52/1.68 tff(8437,plain,
% 1.52/1.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s49) | (~trans(s99, s49))),
% 1.52/1.68 inference(modus_ponens,[status(thm)],[8436, 8435])).
% 1.52/1.68 tff(8438,plain,
% 1.52/1.68 ($false),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8437, 5421, 50, 5934, 8431])).
% 1.52/1.68 tff(8439,plain,((~trans(s99, s49)) | (~always3(s99)) | always3(s49)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.68 tff(8440,plain,
% 1.52/1.68 ((~trans(s99, s49)) | always3(s49)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8439, 5932])).
% 1.52/1.68 tff(8441,plain,
% 1.52/1.68 (~trans(s99, s49)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8440, 8430])).
% 1.52/1.68 tff(8442,plain,
% 1.52/1.68 (~until2p7(s99)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[3055, 3009])).
% 1.52/1.68 tff(8443,plain,
% 1.52/1.68 (~xuntil2p8(s98)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[3070, 8442])).
% 1.52/1.68 tff(8444,assumption,(~always3(s76)), introduced(assumption)).
% 1.52/1.68 tff(8445,plain,
% 1.52/1.68 (~always3(s75)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1059, 8444])).
% 1.52/1.68 tff(8446,plain,
% 1.52/1.68 (~always3(s74)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1088, 8445])).
% 1.52/1.68 tff(8447,plain,
% 1.52/1.68 (~always3(s73)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1117, 8446])).
% 1.52/1.68 tff(8448,plain,
% 1.52/1.68 (~always3(s72)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1146, 8447])).
% 1.52/1.68 tff(8449,plain,
% 1.52/1.68 (~always3(s71)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1175, 8448])).
% 1.52/1.68 tff(8450,plain,
% 1.52/1.68 (~always3(s70)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1204, 8449])).
% 1.52/1.68 tff(8451,plain,
% 1.52/1.68 (~always3(s69)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1233, 8450])).
% 1.52/1.68 tff(8452,plain,
% 1.52/1.68 (~always3(s68)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1262, 8451])).
% 1.52/1.68 tff(8453,plain,
% 1.52/1.68 (~always3(s67)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1291, 8452])).
% 1.52/1.68 tff(8454,plain,
% 1.52/1.68 (~always3(s66)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1320, 8453])).
% 1.52/1.68 tff(8455,plain,
% 1.52/1.68 (~always3(s65)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1349, 8454])).
% 1.52/1.68 tff(8456,plain,
% 1.52/1.68 (~always3(s64)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1378, 8455])).
% 1.52/1.68 tff(8457,plain,
% 1.52/1.68 (~always3(s63)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1407, 8456])).
% 1.52/1.68 tff(8458,plain,
% 1.52/1.68 (~always3(s62)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1431, 8457])).
% 1.52/1.68 tff(8459,plain,
% 1.52/1.68 (~always3(s61)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1443, 8458])).
% 1.52/1.68 tff(8460,plain,
% 1.52/1.68 (~always3(s60)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1455, 8459])).
% 1.52/1.68 tff(8461,plain,
% 1.52/1.68 (~always3(s59)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1467, 8460])).
% 1.52/1.68 tff(8462,plain,
% 1.52/1.68 (~always3(s58)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1479, 8461])).
% 1.52/1.68 tff(8463,plain,
% 1.52/1.68 (~always3(s57)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1491, 8462])).
% 1.52/1.68 tff(8464,plain,
% 1.52/1.68 (~always3(s56)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1503, 8463])).
% 1.52/1.68 tff(8465,plain,
% 1.52/1.68 (~always3(s55)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1515, 8464])).
% 1.52/1.68 tff(8466,plain,
% 1.52/1.68 (~always3(s54)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1527, 8465])).
% 1.52/1.68 tff(8467,plain,
% 1.52/1.68 (~always3(s53)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1539, 8466])).
% 1.52/1.68 tff(8468,plain,
% 1.52/1.68 (~always3(s52)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1551, 8467])).
% 1.52/1.68 tff(8469,plain,
% 1.52/1.68 (~always3(s51)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1563, 8468])).
% 1.52/1.68 tff(8470,plain,
% 1.52/1.68 (~always3(s50)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1575, 8469])).
% 1.52/1.68 tff(8471,plain,
% 1.52/1.68 (~always3(s49)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1587, 8470])).
% 1.52/1.68 tff(8472,plain,
% 1.52/1.68 (~always3(s48)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1599, 8471])).
% 1.52/1.68 tff(8473,plain,
% 1.52/1.68 (~always3(s47)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[54, 8472])).
% 1.52/1.68 tff(8474,plain,
% 1.52/1.68 (~always3(s46)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[66, 8473])).
% 1.52/1.68 tff(8475,plain,
% 1.52/1.68 (~always3(s45)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[78, 8474])).
% 1.52/1.68 tff(8476,plain,
% 1.52/1.68 (~always3(s44)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[90, 8475])).
% 1.52/1.68 tff(8477,plain,
% 1.52/1.68 (~always3(s43)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[102, 8476])).
% 1.52/1.68 tff(8478,plain,
% 1.52/1.68 (~always3(s42)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[114, 8477])).
% 1.52/1.68 tff(8479,plain,
% 1.52/1.68 (~always3(s41)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[126, 8478])).
% 1.52/1.68 tff(8480,plain,
% 1.52/1.68 (~always3(s40)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[138, 8479])).
% 1.52/1.68 tff(8481,plain,
% 1.52/1.68 (~always3(s39)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[150, 8480])).
% 1.52/1.68 tff(8482,plain,
% 1.52/1.68 (~always3(s38)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[162, 8481])).
% 1.52/1.68 tff(8483,plain,
% 1.52/1.68 (~node4(s38)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2466, 595, 8482])).
% 1.52/1.68 tff(8484,plain,
% 1.52/1.68 (~always3(s37)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[174, 8482])).
% 1.52/1.68 tff(8485,plain,
% 1.52/1.68 (~always3(s36)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[186, 8484])).
% 1.52/1.68 tff(8486,plain,
% 1.52/1.68 (~always3(s35)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[198, 8485])).
% 1.52/1.68 tff(8487,plain,
% 1.52/1.68 (~node4(s35)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[1620, 595, 8486])).
% 1.52/1.68 tff(8488,plain,
% 1.52/1.68 (~always3(s34)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[210, 8486])).
% 1.52/1.68 tff(8489,plain,
% 1.52/1.68 (xuntil6(s34)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2415, 8488])).
% 1.52/1.68 tff(8490,plain,
% 1.52/1.68 (until5(s35)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2420, 8489])).
% 1.52/1.68 tff(8491,plain,
% 1.52/1.68 (xuntil6(s35) | node4(s35)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2427, 614, 8490])).
% 1.52/1.68 tff(8492,plain,
% 1.52/1.68 (xuntil6(s35)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8491, 8487])).
% 1.52/1.68 tff(8493,plain,
% 1.52/1.68 (until5(s36)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2433, 8492])).
% 1.52/1.68 tff(8494,plain,
% 1.52/1.68 (xuntil6(s37)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8048, 8493])).
% 1.52/1.68 tff(8495,plain,
% 1.52/1.68 (until5(s38)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2462, 8494])).
% 1.52/1.68 tff(8496,plain,
% 1.52/1.68 (xuntil6(s38)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2473, 614, 8495, 8483])).
% 1.52/1.68 tff(8497,plain,
% 1.52/1.68 (until5(s39)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2479, 8496])).
% 1.52/1.68 tff(8498,plain,
% 1.52/1.68 (xuntil6(s43)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8147, 8497, 8477])).
% 1.52/1.68 tff(8499,plain,
% 1.52/1.68 (until5(s44)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2564, 8498])).
% 1.52/1.68 tff(8500,plain,
% 1.52/1.68 (~node4(s44)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2568, 595, 8476])).
% 1.52/1.68 tff(8501,plain,
% 1.52/1.68 (xuntil6(s44) | (~until5(s44))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2575, 614, 8500])).
% 1.52/1.68 tff(8502,plain,
% 1.52/1.68 (xuntil6(s44)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8501, 8499])).
% 1.52/1.68 tff(8503,plain,
% 1.52/1.68 (until5(s45)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2581, 8502])).
% 1.52/1.68 tff(8504,plain,
% 1.52/1.68 (~node4(s45)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2585, 595, 8475])).
% 1.52/1.68 tff(8505,plain,
% 1.52/1.68 (xuntil6(s45) | (~until5(s45))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2592, 614, 8504])).
% 1.52/1.68 tff(8506,plain,
% 1.52/1.68 (xuntil6(s45)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8505, 8503])).
% 1.52/1.68 tff(8507,plain,
% 1.52/1.68 (until5(s46)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2598, 8506])).
% 1.52/1.68 tff(8508,plain,
% 1.52/1.68 (~node4(s46)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2602, 595, 8474])).
% 1.52/1.68 tff(8509,plain,
% 1.52/1.68 (xuntil6(s46) | (~until5(s46))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2609, 614, 8508])).
% 1.52/1.68 tff(8510,plain,
% 1.52/1.68 (xuntil6(s46)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8509, 8507])).
% 1.52/1.68 tff(8511,plain,
% 1.52/1.68 (until5(s47)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2615, 8510])).
% 1.52/1.68 tff(8512,plain,
% 1.52/1.68 (~node4(s47)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2619, 595, 8473])).
% 1.52/1.68 tff(8513,plain,
% 1.52/1.68 (xuntil6(s47) | (~until5(s47))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2626, 614, 8512])).
% 1.52/1.68 tff(8514,plain,
% 1.52/1.68 (xuntil6(s47)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8513, 8511])).
% 1.52/1.68 tff(8515,plain,
% 1.52/1.68 (until5(s48)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2632, 8514])).
% 1.52/1.68 tff(8516,plain,
% 1.52/1.68 (~node4(s48)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2636, 595, 8472])).
% 1.52/1.68 tff(8517,plain,
% 1.52/1.68 (xuntil6(s48) | (~until5(s48))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2643, 614, 8516])).
% 1.52/1.68 tff(8518,plain,
% 1.52/1.68 (xuntil6(s48)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8517, 8515])).
% 1.52/1.68 tff(8519,plain,
% 1.52/1.68 (until5(s49)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2649, 8518])).
% 1.52/1.68 tff(8520,plain,
% 1.52/1.68 (~node4(s49)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2653, 595, 8471])).
% 1.52/1.68 tff(8521,plain,
% 1.52/1.68 (xuntil6(s49) | (~until5(s49))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2660, 614, 8520])).
% 1.52/1.68 tff(8522,plain,
% 1.52/1.68 (xuntil6(s49)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8521, 8519])).
% 1.52/1.68 tff(8523,plain,
% 1.52/1.68 (until5(s50)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2666, 8522])).
% 1.52/1.68 tff(8524,plain,
% 1.52/1.68 (~node4(s50)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2670, 595, 8470])).
% 1.52/1.68 tff(8525,plain,
% 1.52/1.68 (xuntil6(s50) | (~until5(s50))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2677, 614, 8524])).
% 1.52/1.68 tff(8526,plain,
% 1.52/1.68 (xuntil6(s50)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8525, 8523])).
% 1.52/1.68 tff(8527,plain,
% 1.52/1.68 (until5(s51)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2683, 8526])).
% 1.52/1.68 tff(8528,plain,
% 1.52/1.68 (~node4(s51)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2687, 595, 8469])).
% 1.52/1.68 tff(8529,plain,
% 1.52/1.68 (xuntil6(s51) | (~until5(s51))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2694, 614, 8528])).
% 1.52/1.68 tff(8530,plain,
% 1.52/1.68 (xuntil6(s51)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8529, 8527])).
% 1.52/1.68 tff(8531,plain,
% 1.52/1.68 (until5(s52)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2700, 8530])).
% 1.52/1.68 tff(8532,plain,
% 1.52/1.68 (~node4(s52)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2704, 595, 8468])).
% 1.52/1.68 tff(8533,plain,
% 1.52/1.68 (xuntil6(s52) | (~until5(s52))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2711, 614, 8532])).
% 1.52/1.68 tff(8534,plain,
% 1.52/1.68 (xuntil6(s52)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8533, 8531])).
% 1.52/1.68 tff(8535,plain,
% 1.52/1.68 (until5(s53)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2717, 8534])).
% 1.52/1.68 tff(8536,plain,
% 1.52/1.68 (~node4(s53)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2721, 595, 8467])).
% 1.52/1.68 tff(8537,plain,
% 1.52/1.68 (xuntil6(s53) | (~until5(s53))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2728, 614, 8536])).
% 1.52/1.68 tff(8538,plain,
% 1.52/1.68 (xuntil6(s53)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8537, 8535])).
% 1.52/1.68 tff(8539,plain,
% 1.52/1.68 (until5(s54)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2734, 8538])).
% 1.52/1.68 tff(8540,plain,
% 1.52/1.68 (~node4(s54)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2738, 595, 8466])).
% 1.52/1.68 tff(8541,plain,
% 1.52/1.68 (xuntil6(s54) | (~until5(s54))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2745, 614, 8540])).
% 1.52/1.68 tff(8542,plain,
% 1.52/1.68 (xuntil6(s54)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8541, 8539])).
% 1.52/1.68 tff(8543,plain,
% 1.52/1.68 (until5(s55)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2751, 8542])).
% 1.52/1.68 tff(8544,plain,
% 1.52/1.68 (~node4(s55)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2755, 595, 8465])).
% 1.52/1.68 tff(8545,plain,
% 1.52/1.68 (xuntil6(s55) | (~until5(s55))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2762, 614, 8544])).
% 1.52/1.68 tff(8546,plain,
% 1.52/1.68 (xuntil6(s55)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8545, 8543])).
% 1.52/1.68 tff(8547,plain,
% 1.52/1.68 (until5(s56)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2768, 8546])).
% 1.52/1.68 tff(8548,plain,
% 1.52/1.68 (~node4(s56)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2772, 595, 8464])).
% 1.52/1.68 tff(8549,plain,
% 1.52/1.68 (xuntil6(s56) | (~until5(s56))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2779, 614, 8548])).
% 1.52/1.68 tff(8550,plain,
% 1.52/1.68 (xuntil6(s56)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8549, 8547])).
% 1.52/1.68 tff(8551,plain,
% 1.52/1.68 (until5(s57)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2785, 8550])).
% 1.52/1.68 tff(8552,plain,
% 1.52/1.68 (~node4(s57)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2789, 595, 8463])).
% 1.52/1.68 tff(8553,plain,
% 1.52/1.68 (xuntil6(s57) | (~until5(s57))),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2796, 614, 8552])).
% 1.52/1.68 tff(8554,plain,
% 1.52/1.68 (xuntil6(s57)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[8553, 8551])).
% 1.52/1.68 tff(8555,plain,
% 1.52/1.68 (until5(s58)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2802, 8554])).
% 1.52/1.68 tff(8556,plain,
% 1.52/1.68 (~node4(s58)),
% 1.52/1.68 inference(unit_resolution,[status(thm)],[2806, 595, 8462])).
% 1.52/1.69 tff(8557,plain,
% 1.52/1.69 (xuntil6(s58) | (~until5(s58))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2813, 614, 8556])).
% 1.52/1.69 tff(8558,plain,
% 1.52/1.69 (xuntil6(s58)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8557, 8555])).
% 1.52/1.69 tff(8559,plain,
% 1.52/1.69 (until5(s59)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2819, 8558])).
% 1.52/1.69 tff(8560,plain,
% 1.52/1.69 (~node4(s59)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2823, 595, 8461])).
% 1.52/1.69 tff(8561,plain,
% 1.52/1.69 (xuntil6(s59) | (~until5(s59))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2830, 614, 8560])).
% 1.52/1.69 tff(8562,plain,
% 1.52/1.69 (xuntil6(s59)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8561, 8559])).
% 1.52/1.69 tff(8563,plain,
% 1.52/1.69 (until5(s60)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2836, 8562])).
% 1.52/1.69 tff(8564,plain,
% 1.52/1.69 (~node4(s60)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2840, 595, 8460])).
% 1.52/1.69 tff(8565,plain,
% 1.52/1.69 (xuntil6(s60) | (~until5(s60))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2847, 614, 8564])).
% 1.52/1.69 tff(8566,plain,
% 1.52/1.69 (xuntil6(s60)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8565, 8563])).
% 1.52/1.69 tff(8567,plain,
% 1.52/1.69 (until5(s61)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2853, 8566])).
% 1.52/1.69 tff(8568,plain,
% 1.52/1.69 (~node4(s61)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2857, 595, 8459])).
% 1.52/1.69 tff(8569,plain,
% 1.52/1.69 (xuntil6(s61) | (~until5(s61))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2864, 614, 8568])).
% 1.52/1.69 tff(8570,plain,
% 1.52/1.69 (xuntil6(s61)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8569, 8567])).
% 1.52/1.69 tff(8571,plain,
% 1.52/1.69 (until5(s62)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2870, 8570])).
% 1.52/1.69 tff(8572,plain,
% 1.52/1.69 (~node4(s62)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2874, 595, 8458])).
% 1.52/1.69 tff(8573,plain,
% 1.52/1.69 (xuntil6(s62) | (~until5(s62))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2881, 614, 8572])).
% 1.52/1.69 tff(8574,plain,
% 1.52/1.69 (xuntil6(s62)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8573, 8571])).
% 1.52/1.69 tff(8575,plain,
% 1.52/1.69 (until5(s63)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2887, 8574])).
% 1.52/1.69 tff(8576,plain,
% 1.52/1.69 (~node4(s63)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1411, 595, 8457])).
% 1.52/1.69 tff(8577,plain,
% 1.52/1.69 (xuntil6(s63) | (~until5(s63))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1418, 614, 8576])).
% 1.52/1.69 tff(8578,plain,
% 1.52/1.69 (xuntil6(s63)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8577, 8575])).
% 1.52/1.69 tff(8579,plain,
% 1.52/1.69 (until5(s64)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1398, 8578])).
% 1.52/1.69 tff(8580,plain,
% 1.52/1.69 (~node4(s64)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1382, 595, 8456])).
% 1.52/1.69 tff(8581,plain,
% 1.52/1.69 (xuntil6(s64) | (~until5(s64))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1389, 614, 8580])).
% 1.52/1.69 tff(8582,plain,
% 1.52/1.69 (xuntil6(s64)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8581, 8579])).
% 1.52/1.69 tff(8583,plain,
% 1.52/1.69 (until5(s65)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1369, 8582])).
% 1.52/1.69 tff(8584,plain,
% 1.52/1.69 (~node4(s65)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1353, 595, 8455])).
% 1.52/1.69 tff(8585,plain,
% 1.52/1.69 (xuntil6(s65) | (~until5(s65))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1360, 614, 8584])).
% 1.52/1.69 tff(8586,plain,
% 1.52/1.69 (xuntil6(s65)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8585, 8583])).
% 1.52/1.69 tff(8587,plain,
% 1.52/1.69 (until5(s66)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1340, 8586])).
% 1.52/1.69 tff(8588,plain,
% 1.52/1.69 (~node4(s66)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1324, 595, 8454])).
% 1.52/1.69 tff(8589,plain,
% 1.52/1.69 (xuntil6(s66) | (~until5(s66))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1331, 614, 8588])).
% 1.52/1.69 tff(8590,plain,
% 1.52/1.69 (xuntil6(s66)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8589, 8587])).
% 1.52/1.69 tff(8591,plain,
% 1.52/1.69 (until5(s67)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1311, 8590])).
% 1.52/1.69 tff(8592,plain,
% 1.52/1.69 (~node4(s67)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1295, 595, 8453])).
% 1.52/1.69 tff(8593,plain,
% 1.52/1.69 (xuntil6(s67) | (~until5(s67))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1302, 614, 8592])).
% 1.52/1.69 tff(8594,plain,
% 1.52/1.69 (xuntil6(s67)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8593, 8591])).
% 1.52/1.69 tff(8595,plain,
% 1.52/1.69 (until5(s68)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1282, 8594])).
% 1.52/1.69 tff(8596,plain,
% 1.52/1.69 (~node4(s68)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1266, 595, 8452])).
% 1.52/1.69 tff(8597,plain,
% 1.52/1.69 (xuntil6(s68) | (~until5(s68))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1273, 614, 8596])).
% 1.52/1.69 tff(8598,plain,
% 1.52/1.69 (xuntil6(s68)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8597, 8595])).
% 1.52/1.69 tff(8599,plain,
% 1.52/1.69 (until5(s69)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1253, 8598])).
% 1.52/1.69 tff(8600,plain,
% 1.52/1.69 (~node4(s69)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1237, 595, 8451])).
% 1.52/1.69 tff(8601,plain,
% 1.52/1.69 (xuntil6(s69) | (~until5(s69))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1244, 614, 8600])).
% 1.52/1.69 tff(8602,plain,
% 1.52/1.69 (xuntil6(s69)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8601, 8599])).
% 1.52/1.69 tff(8603,plain,
% 1.52/1.69 (until5(s70)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1224, 8602])).
% 1.52/1.69 tff(8604,plain,
% 1.52/1.69 (~node4(s70)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1208, 595, 8450])).
% 1.52/1.69 tff(8605,plain,
% 1.52/1.69 (xuntil6(s70) | (~until5(s70))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1215, 614, 8604])).
% 1.52/1.69 tff(8606,plain,
% 1.52/1.69 (xuntil6(s70)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8605, 8603])).
% 1.52/1.69 tff(8607,plain,
% 1.52/1.69 (until5(s71)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1195, 8606])).
% 1.52/1.69 tff(8608,plain,
% 1.52/1.69 (~node4(s71)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1179, 595, 8449])).
% 1.52/1.69 tff(8609,plain,
% 1.52/1.69 (xuntil6(s71) | (~until5(s71))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1186, 614, 8608])).
% 1.52/1.69 tff(8610,plain,
% 1.52/1.69 (xuntil6(s71)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8609, 8607])).
% 1.52/1.69 tff(8611,plain,
% 1.52/1.69 (until5(s72)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1166, 8610])).
% 1.52/1.69 tff(8612,plain,
% 1.52/1.69 (~node4(s72)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1150, 595, 8448])).
% 1.52/1.69 tff(8613,plain,
% 1.52/1.69 (xuntil6(s72) | (~until5(s72))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1157, 614, 8612])).
% 1.52/1.69 tff(8614,plain,
% 1.52/1.69 (xuntil6(s72)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8613, 8611])).
% 1.52/1.69 tff(8615,plain,
% 1.52/1.69 (until5(s73)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1137, 8614])).
% 1.52/1.69 tff(8616,plain,
% 1.52/1.69 (~node4(s73)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1121, 595, 8447])).
% 1.52/1.69 tff(8617,plain,
% 1.52/1.69 (xuntil6(s73) | (~until5(s73))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1128, 614, 8616])).
% 1.52/1.69 tff(8618,plain,
% 1.52/1.69 (xuntil6(s73)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8617, 8615])).
% 1.52/1.69 tff(8619,plain,
% 1.52/1.69 (until5(s74)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1108, 8618])).
% 1.52/1.69 tff(8620,plain,
% 1.52/1.69 (~node4(s74)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1092, 595, 8446])).
% 1.52/1.69 tff(8621,plain,
% 1.52/1.69 (xuntil6(s74) | (~until5(s74))),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1099, 614, 8620])).
% 1.52/1.69 tff(8622,plain,
% 1.52/1.69 (xuntil6(s74)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8621, 8619])).
% 1.52/1.69 tff(8623,plain,
% 1.52/1.69 (until5(s75)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1079, 8622])).
% 1.52/1.69 tff(8624,plain,
% 1.52/1.69 (~always3(s33)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[222, 8488])).
% 1.52/1.69 tff(8625,plain,
% 1.52/1.69 (~always3(s32)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[234, 8624])).
% 1.52/1.69 tff(8626,plain,
% 1.52/1.69 (~always3(s31)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[246, 8625])).
% 1.52/1.69 tff(8627,plain,
% 1.52/1.69 (~always3(s30)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[258, 8626])).
% 1.52/1.69 tff(8628,plain,
% 1.52/1.69 (~always3(s29)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[270, 8627])).
% 1.52/1.69 tff(8629,plain,
% 1.52/1.69 (~always3(s28)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[282, 8628])).
% 1.52/1.69 tff(8630,plain,
% 1.52/1.69 (~always3(s27)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[294, 8629])).
% 1.52/1.69 tff(8631,plain,
% 1.52/1.69 (~always3(s26)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[306, 8630])).
% 1.52/1.69 tff(8632,plain,
% 1.52/1.69 (~always3(s25)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[318, 8631])).
% 1.52/1.69 tff(8633,plain,
% 1.52/1.69 (~always3(s24)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[330, 8632])).
% 1.52/1.69 tff(8634,plain,
% 1.52/1.69 (~always3(s23)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[342, 8633])).
% 1.52/1.69 tff(8635,plain,
% 1.52/1.69 (~always3(s22)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[354, 8634])).
% 1.52/1.69 tff(8636,plain,
% 1.52/1.69 (~always3(s21)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[366, 8635])).
% 1.52/1.69 tff(8637,plain,
% 1.52/1.69 (~always3(s20)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[378, 8636])).
% 1.52/1.69 tff(8638,plain,
% 1.52/1.69 (~always3(s19)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[390, 8637])).
% 1.52/1.69 tff(8639,plain,
% 1.52/1.69 (~always3(s18)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[402, 8638])).
% 1.52/1.69 tff(8640,plain,
% 1.52/1.69 (~always3(s17)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[414, 8639])).
% 1.52/1.69 tff(8641,plain,
% 1.52/1.69 (~always3(s16)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[426, 8640])).
% 1.52/1.69 tff(8642,plain,
% 1.52/1.69 (~always3(s15)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[438, 8641])).
% 1.52/1.69 tff(8643,plain,
% 1.52/1.69 (~trans(s99, s15)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[5943, 8642])).
% 1.52/1.69 tff(8644,plain,
% 1.52/1.69 (~trans(s99, s48)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[5953, 8472])).
% 1.52/1.69 tff(8645,plain,
% 1.52/1.69 (~trans(s99, s39)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[5964, 8481])).
% 1.52/1.69 tff(8646,plain,
% 1.52/1.69 (~trans(s99, s58)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8243, 8462])).
% 1.52/1.69 tff(8647,plain,
% 1.52/1.69 (~trans(s99, s54)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8258, 8466])).
% 1.52/1.69 tff(8648,plain,
% 1.52/1.69 (~trans(s99, s41)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[5975, 8479])).
% 1.52/1.69 tff(8649,plain,
% 1.52/1.69 (~trans(s99, s61)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8270, 8459])).
% 1.52/1.69 tff(8650,plain,
% 1.52/1.69 (~trans(s99, s19)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[5986, 8638])).
% 1.52/1.69 tff(8651,assumption,(~always3(s67)), introduced(assumption)).
% 1.52/1.69 tff(8652,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s67) | (~trans(s99, s67)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s67) | (~trans(s99, s67)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8653,plain,
% 1.52/1.69 (((~trans(s99, s67)) | (~always3(s99)) | always3(s67)) <=> ((~always3(s99)) | always3(s67) | (~trans(s99, s67)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8654,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s67)) | (~always3(s99)) | always3(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s67) | (~trans(s99, s67))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[8653])).
% 1.52/1.69 tff(8655,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s67)) | (~always3(s99)) | always3(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s67) | (~trans(s99, s67)))),
% 1.52/1.69 inference(transitivity,[status(thm)],[8654, 8652])).
% 1.52/1.69 tff(8656,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s67)) | (~always3(s99)) | always3(s67))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(8657,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s67) | (~trans(s99, s67))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[8656, 8655])).
% 1.52/1.69 tff(8658,plain,
% 1.52/1.69 ($false),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8657, 4415, 50, 5934, 8651])).
% 1.52/1.69 tff(8659,plain,((~trans(s99, s67)) | (~always3(s99)) | always3(s67)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.69 tff(8660,plain,
% 1.52/1.69 ((~trans(s99, s67)) | always3(s67)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8659, 5932])).
% 1.52/1.69 tff(8661,plain,
% 1.52/1.69 (~trans(s99, s67)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8660, 8453])).
% 1.52/1.69 tff(8662,plain,
% 1.52/1.69 (~trans(s99, s44)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[5997, 8476])).
% 1.52/1.69 tff(8663,assumption,(~always3(s74)), introduced(assumption)).
% 1.52/1.69 tff(8664,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s74) | (~trans(s99, s74)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s74) | (~trans(s99, s74)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8665,plain,
% 1.52/1.69 (((~trans(s99, s74)) | (~always3(s99)) | always3(s74)) <=> ((~always3(s99)) | always3(s74) | (~trans(s99, s74)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8666,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s74)) | (~always3(s99)) | always3(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s74) | (~trans(s99, s74))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[8665])).
% 1.52/1.69 tff(8667,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s74)) | (~always3(s99)) | always3(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s74) | (~trans(s99, s74)))),
% 1.52/1.69 inference(transitivity,[status(thm)],[8666, 8664])).
% 1.52/1.69 tff(8668,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s74)) | (~always3(s99)) | always3(s74))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(8669,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s74) | (~trans(s99, s74))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[8668, 8667])).
% 1.52/1.69 tff(8670,plain,
% 1.52/1.69 ($false),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8669, 5553, 50, 5934, 8663])).
% 1.52/1.69 tff(8671,plain,((~trans(s99, s74)) | (~always3(s99)) | always3(s74)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.69 tff(8672,plain,
% 1.52/1.69 ((~trans(s99, s74)) | always3(s74)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8671, 5932])).
% 1.52/1.69 tff(8673,plain,
% 1.52/1.69 (~trans(s99, s74)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8672, 8446])).
% 1.52/1.69 tff(8674,plain,
% 1.52/1.69 (~trans(s99, s38)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6008, 8482])).
% 1.52/1.69 tff(8675,plain,
% 1.52/1.69 (~always3(s14)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1942, 8642])).
% 1.52/1.69 tff(8676,plain,
% 1.52/1.69 (~always3(s13)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1954, 8675])).
% 1.52/1.69 tff(8677,plain,
% 1.52/1.69 (~always3(s12)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1966, 8676])).
% 1.52/1.69 tff(8678,plain,
% 1.52/1.69 (~always3(s11)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1978, 8677])).
% 1.52/1.69 tff(8679,plain,
% 1.52/1.69 (~always3(s10)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[1990, 8678])).
% 1.52/1.69 tff(8680,plain,
% 1.52/1.69 (~always3(s9)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2002, 8679])).
% 1.52/1.69 tff(8681,plain,
% 1.52/1.69 (~always3(s8)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2014, 8680])).
% 1.52/1.69 tff(8682,plain,
% 1.52/1.69 (~always3(s7)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2026, 8681])).
% 1.52/1.69 tff(8683,plain,
% 1.52/1.69 (~always3(s6)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2038, 8682])).
% 1.52/1.69 tff(8684,plain,
% 1.52/1.69 (~always3(s5)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2050, 8683])).
% 1.52/1.69 tff(8685,plain,
% 1.52/1.69 (~always3(s4)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2062, 8684])).
% 1.52/1.69 tff(8686,plain,
% 1.52/1.69 (~always3(s3)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2074, 8685])).
% 1.52/1.69 tff(8687,plain,
% 1.52/1.69 (~always3(s2)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2086, 8686])).
% 1.52/1.69 tff(8688,plain,
% 1.52/1.69 (~trans(s99, s2)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6032, 8687])).
% 1.52/1.69 tff(8689,plain,
% 1.52/1.69 (~trans(s99, s4)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6043, 8685])).
% 1.52/1.69 tff(8690,plain,
% 1.52/1.69 (~trans(s99, s37)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6054, 8484])).
% 1.52/1.69 tff(8691,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s76) | (~trans(s99, s76)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s76) | (~trans(s99, s76)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8692,plain,
% 1.52/1.69 (((~trans(s99, s76)) | (~always3(s99)) | always3(s76)) <=> ((~always3(s99)) | always3(s76) | (~trans(s99, s76)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8693,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s76)) | (~always3(s99)) | always3(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s76) | (~trans(s99, s76))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[8692])).
% 1.52/1.69 tff(8694,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s76)) | (~always3(s99)) | always3(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s76) | (~trans(s99, s76)))),
% 1.52/1.69 inference(transitivity,[status(thm)],[8693, 8691])).
% 1.52/1.69 tff(8695,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s76)) | (~always3(s99)) | always3(s76))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(8696,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s76) | (~trans(s99, s76))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[8695, 8694])).
% 1.52/1.69 tff(8697,plain,
% 1.52/1.69 ($false),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8696, 4704, 50, 5934, 8444])).
% 1.52/1.69 tff(8698,plain,((~trans(s99, s76)) | (~always3(s99)) | always3(s76)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.69 tff(8699,plain,
% 1.52/1.69 ((~trans(s99, s76)) | always3(s76)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8698, 5932])).
% 1.52/1.69 tff(8700,plain,
% 1.52/1.69 (~trans(s99, s76)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8699, 8444])).
% 1.52/1.69 tff(8701,plain,
% 1.52/1.69 (~trans(s99, s13)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6065, 8676])).
% 1.52/1.69 tff(8702,plain,
% 1.52/1.69 (~trans(s99, s42)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6076, 8478])).
% 1.52/1.69 tff(8703,plain,
% 1.52/1.69 (~trans(s99, s47)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6087, 8473])).
% 1.52/1.69 tff(8704,plain,
% 1.52/1.69 (~trans(s99, s25)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6098, 8632])).
% 1.52/1.69 tff(8705,assumption,(~always3(s73)), introduced(assumption)).
% 1.52/1.69 tff(8706,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s73) | (~trans(s99, s73)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s73) | (~trans(s99, s73)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8707,plain,
% 1.52/1.69 (((~trans(s99, s73)) | (~always3(s99)) | always3(s73)) <=> ((~always3(s99)) | always3(s73) | (~trans(s99, s73)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8708,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s73)) | (~always3(s99)) | always3(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s73) | (~trans(s99, s73))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[8707])).
% 1.52/1.69 tff(8709,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s73)) | (~always3(s99)) | always3(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s73) | (~trans(s99, s73)))),
% 1.52/1.69 inference(transitivity,[status(thm)],[8708, 8706])).
% 1.52/1.69 tff(8710,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s73)) | (~always3(s99)) | always3(s73))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(8711,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s73) | (~trans(s99, s73))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[8710, 8709])).
% 1.52/1.69 tff(8712,plain,
% 1.52/1.69 ($false),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8711, 4770, 50, 5934, 8705])).
% 1.52/1.69 tff(8713,plain,((~trans(s99, s73)) | (~always3(s99)) | always3(s73)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.69 tff(8714,plain,
% 1.52/1.69 ((~trans(s99, s73)) | always3(s73)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8713, 5932])).
% 1.52/1.69 tff(8715,plain,
% 1.52/1.69 (~trans(s99, s73)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8714, 8447])).
% 1.52/1.69 tff(8716,plain,
% 1.52/1.69 (~trans(s99, s53)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8292, 8467])).
% 1.52/1.69 tff(8717,plain,
% 1.52/1.69 (~trans(s99, s22)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6109, 8635])).
% 1.52/1.69 tff(8718,plain,
% 1.52/1.69 (~trans(s99, s28)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6120, 8629])).
% 1.52/1.69 tff(8719,plain,
% 1.52/1.69 (~trans(s99, s34)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6141, 8488])).
% 1.52/1.69 tff(8720,plain,
% 1.52/1.69 (~trans(s99, s11)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6152, 8678])).
% 1.52/1.69 tff(8721,plain,
% 1.52/1.69 (~trans(s99, s5)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6163, 8684])).
% 1.52/1.69 tff(8722,plain,
% 1.52/1.69 (~trans(s99, s20)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6174, 8637])).
% 1.52/1.69 tff(8723,plain,
% 1.52/1.69 (~trans(s99, s36)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6185, 8485])).
% 1.52/1.69 tff(8724,assumption,(~always3(s69)), introduced(assumption)).
% 1.52/1.69 tff(8725,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s69) | (~trans(s99, s69)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s69) | (~trans(s99, s69)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8726,plain,
% 1.52/1.69 (((~trans(s99, s69)) | (~always3(s99)) | always3(s69)) <=> ((~always3(s99)) | always3(s69) | (~trans(s99, s69)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8727,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s69)) | (~always3(s99)) | always3(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s69) | (~trans(s99, s69))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[8726])).
% 1.52/1.69 tff(8728,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s69)) | (~always3(s99)) | always3(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s69) | (~trans(s99, s69)))),
% 1.52/1.69 inference(transitivity,[status(thm)],[8727, 8725])).
% 1.52/1.69 tff(8729,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s69)) | (~always3(s99)) | always3(s69))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(8730,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s69) | (~trans(s99, s69))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[8729, 8728])).
% 1.52/1.69 tff(8731,plain,
% 1.52/1.69 ($false),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8730, 4935, 50, 5934, 8724])).
% 1.52/1.69 tff(8732,plain,((~trans(s99, s69)) | (~always3(s99)) | always3(s69)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.69 tff(8733,plain,
% 1.52/1.69 ((~trans(s99, s69)) | always3(s69)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8732, 5932])).
% 1.52/1.69 tff(8734,plain,
% 1.52/1.69 (~trans(s99, s69)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8733, 8451])).
% 1.52/1.69 tff(8735,plain,
% 1.52/1.69 (~trans(s99, s43)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6196, 8477])).
% 1.52/1.69 tff(8736,plain,
% 1.52/1.69 (~trans(s99, s10)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6207, 8679])).
% 1.52/1.69 tff(8737,plain,
% 1.52/1.69 (~trans(s99, s62)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8311, 8458])).
% 1.52/1.69 tff(8738,plain,
% 1.52/1.69 (~trans(s99, s56)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8322, 8464])).
% 1.52/1.69 tff(8739,plain,
% 1.52/1.69 (~trans(s99, s50)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8336, 8470])).
% 1.52/1.69 tff(8740,plain,
% 1.52/1.69 (~trans(s99, s12)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6218, 8677])).
% 1.52/1.69 tff(8741,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s65) | (~trans(s99, s65)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s65) | (~trans(s99, s65)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8742,plain,
% 1.52/1.69 (((~trans(s99, s65)) | (~always3(s99)) | always3(s65)) <=> ((~always3(s99)) | always3(s65) | (~trans(s99, s65)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8743,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s65)) | (~always3(s99)) | always3(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s65) | (~trans(s99, s65))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[8742])).
% 1.52/1.69 tff(8744,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s65)) | (~always3(s99)) | always3(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s65) | (~trans(s99, s65)))),
% 1.52/1.69 inference(transitivity,[status(thm)],[8743, 8741])).
% 1.52/1.69 tff(8745,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s65)) | (~always3(s99)) | always3(s65))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(8746,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s65) | (~trans(s99, s65))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[8745, 8744])).
% 1.52/1.69 tff(8747,plain,
% 1.52/1.69 ($false),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8746, 5023, 50, 5934, 6486])).
% 1.52/1.69 tff(8748,plain,((~trans(s99, s65)) | (~always3(s99)) | always3(s65)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.69 tff(8749,plain,
% 1.52/1.69 ((~trans(s99, s65)) | always3(s65)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8748, 5932])).
% 1.52/1.69 tff(8750,plain,
% 1.52/1.69 (~trans(s99, s65)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8749, 8455])).
% 1.52/1.69 tff(8751,plain,
% 1.52/1.69 (~trans(s99, s51)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8348, 8469])).
% 1.52/1.69 tff(8752,plain,
% 1.52/1.69 (~trans(s99, s18)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6229, 8639])).
% 1.52/1.69 tff(8753,plain,
% 1.52/1.69 (~trans(s99, s45)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6240, 8475])).
% 1.52/1.69 tff(8754,assumption,(~always3(s68)), introduced(assumption)).
% 1.52/1.69 tff(8755,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s68) | (~trans(s99, s68)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s68) | (~trans(s99, s68)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8756,plain,
% 1.52/1.69 (((~trans(s99, s68)) | (~always3(s99)) | always3(s68)) <=> ((~always3(s99)) | always3(s68) | (~trans(s99, s68)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8757,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s68)) | (~always3(s99)) | always3(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s68) | (~trans(s99, s68))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[8756])).
% 1.52/1.69 tff(8758,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s68)) | (~always3(s99)) | always3(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s68) | (~trans(s99, s68)))),
% 1.52/1.69 inference(transitivity,[status(thm)],[8757, 8755])).
% 1.52/1.69 tff(8759,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s68)) | (~always3(s99)) | always3(s68))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(8760,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s68) | (~trans(s99, s68))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[8759, 8758])).
% 1.52/1.69 tff(8761,plain,
% 1.52/1.69 ($false),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8760, 5067, 50, 5934, 8754])).
% 1.52/1.69 tff(8762,plain,((~trans(s99, s68)) | (~always3(s99)) | always3(s68)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.69 tff(8763,plain,
% 1.52/1.69 ((~trans(s99, s68)) | always3(s68)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8762, 5932])).
% 1.52/1.69 tff(8764,plain,
% 1.52/1.69 (~trans(s99, s68)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8763, 8452])).
% 1.52/1.69 tff(8765,plain,
% 1.52/1.69 (~trans(s99, s26)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6251, 8631])).
% 1.52/1.69 tff(8766,assumption,(~always3(s75)), introduced(assumption)).
% 1.52/1.69 tff(8767,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s75) | (~trans(s99, s75)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s75) | (~trans(s99, s75)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8768,plain,
% 1.52/1.69 (((~trans(s99, s75)) | (~always3(s99)) | always3(s75)) <=> ((~always3(s99)) | always3(s75) | (~trans(s99, s75)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8769,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s75)) | (~always3(s99)) | always3(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s75) | (~trans(s99, s75))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[8768])).
% 1.52/1.69 tff(8770,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s75)) | (~always3(s99)) | always3(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s75) | (~trans(s99, s75)))),
% 1.52/1.69 inference(transitivity,[status(thm)],[8769, 8767])).
% 1.52/1.69 tff(8771,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s75)) | (~always3(s99)) | always3(s75))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(8772,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s75) | (~trans(s99, s75))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[8771, 8770])).
% 1.52/1.69 tff(8773,plain,
% 1.52/1.69 ($false),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8772, 5089, 50, 5934, 8766])).
% 1.52/1.69 tff(8774,plain,((~trans(s99, s75)) | (~always3(s99)) | always3(s75)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.69 tff(8775,plain,
% 1.52/1.69 ((~trans(s99, s75)) | always3(s75)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8774, 5932])).
% 1.52/1.69 tff(8776,plain,
% 1.52/1.69 (~trans(s99, s75)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8775, 8445])).
% 1.52/1.69 tff(8777,plain,
% 1.52/1.69 (~trans(s99, s8)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6273, 8681])).
% 1.52/1.69 tff(8778,assumption,(~always3(s72)), introduced(assumption)).
% 1.52/1.69 tff(8779,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s72) | (~trans(s99, s72)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s72) | (~trans(s99, s72)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8780,plain,
% 1.52/1.69 (((~trans(s99, s72)) | (~always3(s99)) | always3(s72)) <=> ((~always3(s99)) | always3(s72) | (~trans(s99, s72)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8781,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s72)) | (~always3(s99)) | always3(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s72) | (~trans(s99, s72))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[8780])).
% 1.52/1.69 tff(8782,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s72)) | (~always3(s99)) | always3(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s72) | (~trans(s99, s72)))),
% 1.52/1.69 inference(transitivity,[status(thm)],[8781, 8779])).
% 1.52/1.69 tff(8783,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s72)) | (~always3(s99)) | always3(s72))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(8784,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s72) | (~trans(s99, s72))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[8783, 8782])).
% 1.52/1.69 tff(8785,plain,
% 1.52/1.69 ($false),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8784, 5111, 50, 5934, 8778])).
% 1.52/1.69 tff(8786,plain,((~trans(s99, s72)) | (~always3(s99)) | always3(s72)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.69 tff(8787,plain,
% 1.52/1.69 ((~trans(s99, s72)) | always3(s72)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8786, 5932])).
% 1.52/1.69 tff(8788,plain,
% 1.52/1.69 (~trans(s99, s72)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8787, 8448])).
% 1.52/1.69 tff(8789,plain,
% 1.52/1.69 (~trans(s99, s35)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6284, 8486])).
% 1.52/1.69 tff(8790,plain,
% 1.52/1.69 (~trans(s99, s30)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6295, 8627])).
% 1.52/1.69 tff(8791,plain,
% 1.52/1.69 (~always3(s1)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2098, 8687])).
% 1.52/1.69 tff(8792,plain,
% 1.52/1.69 (~always3(s0)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[2114, 8791])).
% 1.52/1.69 tff(8793,plain,
% 1.52/1.69 (~trans(s99, s0)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6308, 8792])).
% 1.52/1.69 tff(8794,plain,
% 1.52/1.69 (~trans(s99, s3)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6319, 8686])).
% 1.52/1.69 tff(8795,plain,
% 1.52/1.69 (~trans(s99, s23)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6330, 8634])).
% 1.52/1.69 tff(8796,assumption,(~always3(s71)), introduced(assumption)).
% 1.52/1.69 tff(8797,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s71) | (~trans(s99, s71)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s71) | (~trans(s99, s71)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8798,plain,
% 1.52/1.69 (((~trans(s99, s71)) | (~always3(s99)) | always3(s71)) <=> ((~always3(s99)) | always3(s71) | (~trans(s99, s71)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8799,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s71)) | (~always3(s99)) | always3(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s71) | (~trans(s99, s71))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[8798])).
% 1.52/1.69 tff(8800,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s71)) | (~always3(s99)) | always3(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s71) | (~trans(s99, s71)))),
% 1.52/1.69 inference(transitivity,[status(thm)],[8799, 8797])).
% 1.52/1.69 tff(8801,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s71)) | (~always3(s99)) | always3(s71))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(8802,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s71) | (~trans(s99, s71))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[8801, 8800])).
% 1.52/1.69 tff(8803,plain,
% 1.52/1.69 ($false),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8802, 5212, 50, 5934, 8796])).
% 1.52/1.69 tff(8804,plain,((~trans(s99, s71)) | (~always3(s99)) | always3(s71)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.69 tff(8805,plain,
% 1.52/1.69 ((~trans(s99, s71)) | always3(s71)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8804, 5932])).
% 1.52/1.69 tff(8806,plain,
% 1.52/1.69 (~trans(s99, s71)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8805, 8449])).
% 1.52/1.69 tff(8807,assumption,(~always3(s66)), introduced(assumption)).
% 1.52/1.69 tff(8808,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s66) | (~trans(s99, s66)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s66) | (~trans(s99, s66)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8809,plain,
% 1.52/1.69 (((~trans(s99, s66)) | (~always3(s99)) | always3(s66)) <=> ((~always3(s99)) | always3(s66) | (~trans(s99, s66)))),
% 1.52/1.69 inference(rewrite,[status(thm)],[])).
% 1.52/1.69 tff(8810,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s66)) | (~always3(s99)) | always3(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s66) | (~trans(s99, s66))))),
% 1.52/1.69 inference(monotonicity,[status(thm)],[8809])).
% 1.52/1.69 tff(8811,plain,
% 1.52/1.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s66)) | (~always3(s99)) | always3(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s66) | (~trans(s99, s66)))),
% 1.52/1.69 inference(transitivity,[status(thm)],[8810, 8808])).
% 1.52/1.69 tff(8812,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s66)) | (~always3(s99)) | always3(s66))),
% 1.52/1.69 inference(quant_inst,[status(thm)],[])).
% 1.52/1.69 tff(8813,plain,
% 1.52/1.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s66) | (~trans(s99, s66))),
% 1.52/1.69 inference(modus_ponens,[status(thm)],[8812, 8811])).
% 1.52/1.69 tff(8814,plain,
% 1.52/1.69 ($false),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8813, 5223, 50, 5934, 8807])).
% 1.52/1.69 tff(8815,plain,((~trans(s99, s66)) | (~always3(s99)) | always3(s66)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.69 tff(8816,plain,
% 1.52/1.69 ((~trans(s99, s66)) | always3(s66)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8815, 5932])).
% 1.52/1.69 tff(8817,plain,
% 1.52/1.69 (~trans(s99, s66)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8816, 8454])).
% 1.52/1.69 tff(8818,plain,
% 1.52/1.69 (~trans(s99, s27)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6341, 8630])).
% 1.52/1.69 tff(8819,plain,
% 1.52/1.69 (~trans(s99, s24)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[6352, 8633])).
% 1.52/1.69 tff(8820,plain,
% 1.52/1.69 (~trans(s99, s52)),
% 1.52/1.69 inference(unit_resolution,[status(thm)],[8370, 8468])).
% 1.52/1.69 tff(8821,plain,
% 1.52/1.70 (~trans(s99, s55)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8381, 8465])).
% 1.52/1.70 tff(8822,plain,
% 1.52/1.70 (~trans(s99, s32)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[6363, 8625])).
% 1.52/1.70 tff(8823,plain,
% 1.52/1.70 (~trans(s99, s14)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[6262, 8675])).
% 1.52/1.70 tff(8824,plain,
% 1.52/1.70 (~trans(s99, s57)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8394, 8463])).
% 1.52/1.70 tff(8825,plain,
% 1.52/1.70 (~trans(s99, s17)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[6385, 8640])).
% 1.52/1.70 tff(8826,plain,
% 1.52/1.70 (~trans(s99, s60)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8406, 8460])).
% 1.52/1.70 tff(8827,plain,
% 1.52/1.70 (~trans(s99, s7)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[6396, 8682])).
% 1.52/1.70 tff(8828,plain,
% 1.52/1.70 (~trans(s99, s59)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8418, 8461])).
% 1.52/1.70 tff(8829,plain,
% 1.52/1.70 (~trans(s99, s1)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[6407, 8791])).
% 1.52/1.70 tff(8830,plain,
% 1.52/1.70 (~trans(s99, s29)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[6418, 8628])).
% 1.52/1.70 tff(8831,plain,
% 1.52/1.70 (~trans(s99, s40)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[6429, 8480])).
% 1.52/1.70 tff(8832,plain,
% 1.52/1.70 (~trans(s99, s16)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[6374, 8641])).
% 1.52/1.70 tff(8833,assumption,(~always3(s70)), introduced(assumption)).
% 1.52/1.70 tff(8834,plain,
% 1.52/1.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s70) | (~trans(s99, s70)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s70) | (~trans(s99, s70)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8835,plain,
% 1.52/1.70 (((~trans(s99, s70)) | (~always3(s99)) | always3(s70)) <=> ((~always3(s99)) | always3(s70) | (~trans(s99, s70)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8836,plain,
% 1.52/1.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s70)) | (~always3(s99)) | always3(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s70) | (~trans(s99, s70))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[8835])).
% 1.52/1.70 tff(8837,plain,
% 1.52/1.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s70)) | (~always3(s99)) | always3(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s70) | (~trans(s99, s70)))),
% 1.52/1.70 inference(transitivity,[status(thm)],[8836, 8834])).
% 1.52/1.70 tff(8838,plain,
% 1.52/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s70)) | (~always3(s99)) | always3(s70))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(8839,plain,
% 1.52/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s70) | (~trans(s99, s70))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[8838, 8837])).
% 1.52/1.70 tff(8840,plain,
% 1.52/1.70 ($false),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8839, 5410, 50, 5934, 8833])).
% 1.52/1.70 tff(8841,plain,((~trans(s99, s70)) | (~always3(s99)) | always3(s70)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.70 tff(8842,plain,
% 1.52/1.70 ((~trans(s99, s70)) | always3(s70)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8841, 5932])).
% 1.52/1.70 tff(8843,plain,
% 1.52/1.70 (~trans(s99, s70)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8842, 8450])).
% 1.52/1.70 tff(8844,plain,
% 1.52/1.70 (~trans(s99, s49)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8440, 8471])).
% 1.52/1.70 tff(8845,plain,
% 1.52/1.70 (~trans(s99, s21)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[6440, 8636])).
% 1.52/1.70 tff(8846,assumption,(~always3(s63)), introduced(assumption)).
% 1.52/1.70 tff(8847,plain,
% 1.52/1.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s63) | (~trans(s99, s63)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s63) | (~trans(s99, s63)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8848,plain,
% 1.52/1.70 (((~trans(s99, s63)) | (~always3(s99)) | always3(s63)) <=> ((~always3(s99)) | always3(s63) | (~trans(s99, s63)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8849,plain,
% 1.52/1.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s63)) | (~always3(s99)) | always3(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s63) | (~trans(s99, s63))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[8848])).
% 1.52/1.70 tff(8850,plain,
% 1.52/1.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s63)) | (~always3(s99)) | always3(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s63) | (~trans(s99, s63)))),
% 1.52/1.70 inference(transitivity,[status(thm)],[8849, 8847])).
% 1.52/1.70 tff(8851,plain,
% 1.52/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s63)) | (~always3(s99)) | always3(s63))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(8852,plain,
% 1.52/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s63) | (~trans(s99, s63))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[8851, 8850])).
% 1.52/1.70 tff(8853,plain,
% 1.52/1.70 ($false),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8852, 5443, 50, 5934, 8846])).
% 1.52/1.70 tff(8854,plain,((~trans(s99, s63)) | (~always3(s99)) | always3(s63)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.70 tff(8855,plain,
% 1.52/1.70 ((~trans(s99, s63)) | always3(s63)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8854, 5932])).
% 1.52/1.70 tff(8856,plain,
% 1.52/1.70 (~trans(s99, s63)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8855, 8457])).
% 1.52/1.70 tff(8857,assumption,(~always3(s64)), introduced(assumption)).
% 1.52/1.70 tff(8858,plain,
% 1.52/1.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s64) | (~trans(s99, s64)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s64) | (~trans(s99, s64)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8859,plain,
% 1.52/1.70 (((~trans(s99, s64)) | (~always3(s99)) | always3(s64)) <=> ((~always3(s99)) | always3(s64) | (~trans(s99, s64)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8860,plain,
% 1.52/1.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s64)) | (~always3(s99)) | always3(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s64) | (~trans(s99, s64))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[8859])).
% 1.52/1.70 tff(8861,plain,
% 1.52/1.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s64)) | (~always3(s99)) | always3(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s64) | (~trans(s99, s64)))),
% 1.52/1.70 inference(transitivity,[status(thm)],[8860, 8858])).
% 1.52/1.70 tff(8862,plain,
% 1.52/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s64)) | (~always3(s99)) | always3(s64))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(8863,plain,
% 1.52/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s64) | (~trans(s99, s64))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[8862, 8861])).
% 1.52/1.70 tff(8864,plain,
% 1.52/1.70 ($false),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8863, 5454, 50, 5934, 8857])).
% 1.52/1.70 tff(8865,plain,((~trans(s99, s64)) | (~always3(s99)) | always3(s64)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.70 tff(8866,plain,
% 1.52/1.70 ((~trans(s99, s64)) | always3(s64)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8865, 5932])).
% 1.52/1.70 tff(8867,plain,
% 1.52/1.70 (~trans(s99, s64)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8866, 8456])).
% 1.52/1.70 tff(8868,plain,
% 1.52/1.70 (~trans(s99, s31)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[6451, 8626])).
% 1.52/1.70 tff(8869,plain,
% 1.52/1.70 (~trans(s99, s6)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[6473, 8683])).
% 1.52/1.70 tff(8870,plain,
% 1.52/1.70 (~trans(s99, s46)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[6484, 8474])).
% 1.52/1.70 tff(8871,plain,
% 1.52/1.70 (~trans(s99, s33)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[6462, 8624])).
% 1.52/1.70 tff(8872,plain,
% 1.52/1.70 (~trans(s99, s9)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[6131, 8680])).
% 1.52/1.70 tff(8873,assumption,(node4(s75)), introduced(assumption)).
% 1.52/1.70 tff(8874,plain,
% 1.52/1.70 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s75) | (~node4(s75)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s75) | (~node4(s75)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8875,plain,
% 1.52/1.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s75) | (~node4(s75)))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(8876,plain,
% 1.52/1.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s75) | (~node4(s75))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[8875, 8874])).
% 1.52/1.70 tff(8877,plain,
% 1.52/1.70 (m_main_v_request(s75)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8876, 3141, 8873])).
% 1.52/1.70 tff(8878,plain,
% 1.52/1.70 (always3(s75)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1063, 595, 8873])).
% 1.52/1.70 tff(8879,plain,
% 1.52/1.70 (always3(s76)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1059, 8878])).
% 1.52/1.70 tff(8880,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s76)) | (~m_main_v_state(s76, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s76)) | (~m_main_v_state(s76, c_busy)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8881,plain,
% 1.52/1.70 (((~m_main_v_state(s76, c_busy)) | (~always3(s76))) <=> ((~always3(s76)) | (~m_main_v_state(s76, c_busy)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8882,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s76, c_busy)) | (~always3(s76)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s76)) | (~m_main_v_state(s76, c_busy))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[8881])).
% 1.52/1.70 tff(8883,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s76, c_busy)) | (~always3(s76)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s76)) | (~m_main_v_state(s76, c_busy)))),
% 1.52/1.70 inference(transitivity,[status(thm)],[8882, 8880])).
% 1.52/1.70 tff(8884,plain,
% 1.52/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s76, c_busy)) | (~always3(s76)))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(8885,plain,
% 1.52/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s76)) | (~m_main_v_state(s76, c_busy))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[8884, 8883])).
% 1.52/1.70 tff(8886,plain,
% 1.52/1.70 (~m_main_v_state(s76, c_busy)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8885, 3154, 8879])).
% 1.52/1.70 tff(8887,plain,
% 1.52/1.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s75, s76)) | node2(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s75, s76)) | node2(s75, s76))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8888,plain,
% 1.52/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s75, s76)) | node2(s75, s76))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(8889,plain,
% 1.52/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s75, s76)) | node2(s75, s76)),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[8888, 8887])).
% 1.52/1.70 tff(8890,plain,
% 1.52/1.70 (node2(s75, s76)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8889, 7, 1055])).
% 1.52/1.70 tff(8891,plain,
% 1.52/1.70 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s75, c_ready)) | (~node2(s75, s76)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s75, c_ready)) | (~node2(s75, s76)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8892,plain,
% 1.52/1.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s75, c_ready)) | (~node2(s75, s76)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75)))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(8893,plain,
% 1.52/1.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s75, c_ready)) | (~node2(s75, s76)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[8892, 8891])).
% 1.52/1.70 tff(8894,plain,
% 1.52/1.70 ((~m_main_v_state(s75, c_ready)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s75))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8893, 3175, 8890])).
% 1.52/1.70 tff(8895,plain,
% 1.52/1.70 (~m_main_v_state(s75, c_ready)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8894, 8886, 8877])).
% 1.52/1.70 tff(8896,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s75)) | (~m_main_v_state(s75, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s75)) | (~m_main_v_state(s75, c_busy)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8897,plain,
% 1.52/1.70 (((~m_main_v_state(s75, c_busy)) | (~always3(s75))) <=> ((~always3(s75)) | (~m_main_v_state(s75, c_busy)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8898,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s75, c_busy)) | (~always3(s75)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s75)) | (~m_main_v_state(s75, c_busy))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[8897])).
% 1.52/1.70 tff(8899,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s75, c_busy)) | (~always3(s75)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s75)) | (~m_main_v_state(s75, c_busy)))),
% 1.52/1.70 inference(transitivity,[status(thm)],[8898, 8896])).
% 1.52/1.70 tff(8900,plain,
% 1.52/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s75, c_busy)) | (~always3(s75)))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(8901,plain,
% 1.52/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s75)) | (~m_main_v_state(s75, c_busy))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[8900, 8899])).
% 1.52/1.70 tff(8902,plain,
% 1.52/1.70 (~m_main_v_state(s75, c_busy)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8901, 3154, 8878])).
% 1.52/1.70 tff(8903,plain,
% 1.52/1.70 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s75, c_busy) | m_main_v_state(s75, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s75, c_busy) | m_main_v_state(s75, c_ready))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8904,plain,
% 1.52/1.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s75, c_busy) | m_main_v_state(s75, c_ready))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(8905,plain,
% 1.52/1.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s75, c_busy) | m_main_v_state(s75, c_ready)),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[8904, 8903])).
% 1.52/1.70 tff(8906,plain,
% 1.52/1.70 ($false),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8905, 19, 8902, 8895])).
% 1.52/1.70 tff(8907,plain,(~node4(s75)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.70 tff(8908,plain,
% 1.52/1.70 (xuntil6(s75) | (~until5(s75))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1070, 614, 8907])).
% 1.52/1.70 tff(8909,plain,
% 1.52/1.70 (xuntil6(s75)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8908, 8623])).
% 1.52/1.70 tff(8910,plain,
% 1.52/1.70 (until5(s76)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1050, 8909])).
% 1.52/1.70 tff(8911,plain,
% 1.52/1.70 (~node4(s76)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1034, 595, 8444])).
% 1.52/1.70 tff(8912,plain,
% 1.52/1.70 (xuntil6(s76) | (~until5(s76))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1041, 614, 8911])).
% 1.52/1.70 tff(8913,plain,
% 1.52/1.70 (xuntil6(s76)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8912, 8910])).
% 1.52/1.70 tff(8914,plain,
% 1.52/1.70 (until5(s77)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1021, 8913])).
% 1.52/1.70 tff(8915,assumption,(until5(s75)), introduced(assumption)).
% 1.52/1.70 tff(8916,assumption,(~xuntil6(s77)), introduced(assumption)).
% 1.52/1.70 tff(8917,assumption,(~always3(s77)), introduced(assumption)).
% 1.52/1.70 tff(8918,plain,
% 1.52/1.70 (~always3(s76)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1030, 8917])).
% 1.52/1.70 tff(8919,plain,
% 1.52/1.70 (~node4(s76)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1034, 595, 8918])).
% 1.52/1.70 tff(8920,plain,
% 1.52/1.70 (~node4(s77)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1005, 595, 8917])).
% 1.52/1.70 tff(8921,plain,
% 1.52/1.70 (node4(s77) | (~until5(s77))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1012, 614, 8916])).
% 1.52/1.70 tff(8922,plain,
% 1.52/1.70 (~until5(s77)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8921, 8920])).
% 1.52/1.70 tff(8923,plain,
% 1.52/1.70 (~xuntil6(s76)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1021, 8922])).
% 1.52/1.70 tff(8924,plain,
% 1.52/1.70 (~always3(s75)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1059, 8918])).
% 1.52/1.70 tff(8925,plain,
% 1.52/1.70 (~node4(s75)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1063, 595, 8924])).
% 1.52/1.70 tff(8926,plain,
% 1.52/1.70 (xuntil6(s75) | node4(s75)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1070, 614, 8915])).
% 1.52/1.70 tff(8927,plain,
% 1.52/1.70 (xuntil6(s75)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8926, 8925])).
% 1.52/1.70 tff(8928,plain,
% 1.52/1.70 (until5(s76)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1050, 8927])).
% 1.52/1.70 tff(8929,plain,
% 1.52/1.70 ($false),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1041, 614, 8928, 8923, 8919])).
% 1.52/1.70 tff(8930,plain,(always3(s77) | (~until5(s75)) | xuntil6(s77)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.70 tff(8931,plain,
% 1.52/1.70 (always3(s77)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8930, 8916, 8915])).
% 1.52/1.70 tff(8932,plain,
% 1.52/1.70 (always3(s78)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1001, 8931])).
% 1.52/1.70 tff(8933,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s78)) | (~m_main_v_state(s78, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s78)) | (~m_main_v_state(s78, c_busy)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8934,plain,
% 1.52/1.70 (((~m_main_v_state(s78, c_busy)) | (~always3(s78))) <=> ((~always3(s78)) | (~m_main_v_state(s78, c_busy)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8935,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s78, c_busy)) | (~always3(s78)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s78)) | (~m_main_v_state(s78, c_busy))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[8934])).
% 1.52/1.70 tff(8936,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s78, c_busy)) | (~always3(s78)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s78)) | (~m_main_v_state(s78, c_busy)))),
% 1.52/1.70 inference(transitivity,[status(thm)],[8935, 8933])).
% 1.52/1.70 tff(8937,plain,
% 1.52/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s78, c_busy)) | (~always3(s78)))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(8938,plain,
% 1.52/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s78)) | (~m_main_v_state(s78, c_busy))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[8937, 8936])).
% 1.52/1.70 tff(8939,plain,
% 1.52/1.70 (~m_main_v_state(s78, c_busy)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8938, 3154, 8932])).
% 1.52/1.70 tff(8940,assumption,(until5(s77)), introduced(assumption)).
% 1.52/1.70 tff(8941,plain,
% 1.52/1.70 (xuntil6(s77) | node4(s77)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1012, 614, 8940])).
% 1.52/1.70 tff(8942,plain,
% 1.52/1.70 (node4(s77)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8941, 8916])).
% 1.52/1.70 tff(8943,plain,
% 1.52/1.70 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s77) | (~node4(s77)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s77) | (~node4(s77)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8944,plain,
% 1.52/1.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s77) | (~node4(s77)))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(8945,plain,
% 1.52/1.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s77) | (~node4(s77))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[8944, 8943])).
% 1.52/1.70 tff(8946,plain,
% 1.52/1.70 (m_main_v_request(s77)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8945, 3141, 8942])).
% 1.52/1.70 tff(8947,plain,
% 1.52/1.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s77, s78)) | node2(s77, s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s77, s78)) | node2(s77, s78))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8948,plain,
% 1.52/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s77, s78)) | node2(s77, s78))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(8949,plain,
% 1.52/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s77, s78)) | node2(s77, s78)),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[8948, 8947])).
% 1.52/1.70 tff(8950,plain,
% 1.52/1.70 (node2(s77, s78)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8949, 7, 997])).
% 1.52/1.70 tff(8951,plain,
% 1.52/1.70 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s77, c_ready)) | (~node2(s77, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s77, c_ready)) | (~node2(s77, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8952,plain,
% 1.52/1.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s77, c_ready)) | (~node2(s77, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77)))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(8953,plain,
% 1.52/1.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s77, c_ready)) | (~node2(s77, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[8952, 8951])).
% 1.52/1.70 tff(8954,plain,
% 1.52/1.70 ((~m_main_v_state(s77, c_ready)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s77))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8953, 3175, 8950])).
% 1.52/1.70 tff(8955,plain,
% 1.52/1.70 (~m_main_v_state(s77, c_ready)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8954, 8946, 8939])).
% 1.52/1.70 tff(8956,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s77)) | (~m_main_v_state(s77, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s77)) | (~m_main_v_state(s77, c_busy)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8957,plain,
% 1.52/1.70 (((~m_main_v_state(s77, c_busy)) | (~always3(s77))) <=> ((~always3(s77)) | (~m_main_v_state(s77, c_busy)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8958,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s77, c_busy)) | (~always3(s77)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s77)) | (~m_main_v_state(s77, c_busy))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[8957])).
% 1.52/1.70 tff(8959,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s77, c_busy)) | (~always3(s77)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s77)) | (~m_main_v_state(s77, c_busy)))),
% 1.52/1.70 inference(transitivity,[status(thm)],[8958, 8956])).
% 1.52/1.70 tff(8960,plain,
% 1.52/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s77, c_busy)) | (~always3(s77)))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(8961,plain,
% 1.52/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s77)) | (~m_main_v_state(s77, c_busy))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[8960, 8959])).
% 1.52/1.70 tff(8962,plain,
% 1.52/1.70 (~m_main_v_state(s77, c_busy)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8961, 3154, 8931])).
% 1.52/1.70 tff(8963,plain,
% 1.52/1.70 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s77, c_busy) | m_main_v_state(s77, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s77, c_busy) | m_main_v_state(s77, c_ready))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(8964,plain,
% 1.52/1.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s77, c_busy) | m_main_v_state(s77, c_ready))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(8965,plain,
% 1.52/1.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s77, c_busy) | m_main_v_state(s77, c_ready)),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[8964, 8963])).
% 1.52/1.70 tff(8966,plain,
% 1.52/1.70 ($false),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8965, 19, 8962, 8955])).
% 1.52/1.70 tff(8967,plain,(xuntil6(s77) | (~until5(s77)) | (~until5(s75))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.70 tff(8968,plain,
% 1.52/1.70 (xuntil6(s77)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[8967, 8914, 8623])).
% 1.52/1.70 tff(8969,plain,
% 1.52/1.70 (until5(s78)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[992, 8968])).
% 1.52/1.70 tff(8970,assumption,(~always3(s88)), introduced(assumption)).
% 1.52/1.70 tff(8971,plain,
% 1.52/1.70 (~always3(s87)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[587, 8970])).
% 1.52/1.70 tff(8972,plain,
% 1.52/1.70 (~always3(s86)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[731, 8971])).
% 1.52/1.70 tff(8973,plain,
% 1.52/1.70 (~always3(s85)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[769, 8972])).
% 1.52/1.70 tff(8974,plain,
% 1.52/1.70 (~always3(s84)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[798, 8973])).
% 1.52/1.70 tff(8975,plain,
% 1.52/1.70 (~always3(s83)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[827, 8974])).
% 1.52/1.70 tff(8976,plain,
% 1.52/1.70 (~always3(s82)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[856, 8975])).
% 1.52/1.70 tff(8977,plain,
% 1.52/1.70 (~always3(s81)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[885, 8976])).
% 1.52/1.70 tff(8978,plain,
% 1.52/1.70 (~always3(s80)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[914, 8977])).
% 1.52/1.70 tff(8979,plain,
% 1.52/1.70 (~always3(s79)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[943, 8978])).
% 1.52/1.70 tff(8980,plain,
% 1.52/1.70 (~always3(s78)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[972, 8979])).
% 1.52/1.70 tff(8981,plain,
% 1.52/1.70 (~always3(s77)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1001, 8980])).
% 1.52/1.70 tff(8982,plain,
% 1.52/1.70 (~always3(s76)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1030, 8981])).
% 1.52/1.70 tff(8983,plain,
% 1.52/1.70 (~always3(s75)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1059, 8982])).
% 1.52/1.70 tff(8984,plain,
% 1.52/1.70 (~always3(s74)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1088, 8983])).
% 1.52/1.70 tff(8985,plain,
% 1.52/1.70 (~always3(s73)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1117, 8984])).
% 1.52/1.70 tff(8986,plain,
% 1.52/1.70 (~always3(s72)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1146, 8985])).
% 1.52/1.70 tff(8987,plain,
% 1.52/1.70 (~always3(s71)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1175, 8986])).
% 1.52/1.70 tff(8988,plain,
% 1.52/1.70 (~always3(s70)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1204, 8987])).
% 1.52/1.70 tff(8989,plain,
% 1.52/1.70 (~always3(s69)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1233, 8988])).
% 1.52/1.70 tff(8990,plain,
% 1.52/1.70 (~always3(s68)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1262, 8989])).
% 1.52/1.70 tff(8991,plain,
% 1.52/1.70 (~always3(s67)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1291, 8990])).
% 1.52/1.70 tff(8992,plain,
% 1.52/1.70 (~always3(s66)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1320, 8991])).
% 1.52/1.70 tff(8993,plain,
% 1.52/1.70 (~always3(s65)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1349, 8992])).
% 1.52/1.70 tff(8994,plain,
% 1.52/1.70 (~always3(s64)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1378, 8993])).
% 1.52/1.70 tff(8995,plain,
% 1.52/1.70 (~always3(s63)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1407, 8994])).
% 1.52/1.70 tff(8996,plain,
% 1.52/1.70 (~always3(s62)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1431, 8995])).
% 1.52/1.70 tff(8997,plain,
% 1.52/1.70 (~always3(s61)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1443, 8996])).
% 1.52/1.70 tff(8998,plain,
% 1.52/1.70 (~always3(s60)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1455, 8997])).
% 1.52/1.70 tff(8999,plain,
% 1.52/1.70 (~always3(s59)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1467, 8998])).
% 1.52/1.70 tff(9000,plain,
% 1.52/1.70 (~always3(s58)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1479, 8999])).
% 1.52/1.70 tff(9001,plain,
% 1.52/1.70 (~always3(s57)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1491, 9000])).
% 1.52/1.70 tff(9002,plain,
% 1.52/1.70 (~always3(s56)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1503, 9001])).
% 1.52/1.70 tff(9003,plain,
% 1.52/1.70 (~always3(s55)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1515, 9002])).
% 1.52/1.70 tff(9004,plain,
% 1.52/1.70 (~always3(s54)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1527, 9003])).
% 1.52/1.70 tff(9005,plain,
% 1.52/1.70 (~always3(s53)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1539, 9004])).
% 1.52/1.70 tff(9006,plain,
% 1.52/1.70 (~always3(s52)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1551, 9005])).
% 1.52/1.70 tff(9007,plain,
% 1.52/1.70 (~always3(s51)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1563, 9006])).
% 1.52/1.70 tff(9008,plain,
% 1.52/1.70 (~always3(s50)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1575, 9007])).
% 1.52/1.70 tff(9009,plain,
% 1.52/1.70 (~always3(s49)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1587, 9008])).
% 1.52/1.70 tff(9010,plain,
% 1.52/1.70 (~always3(s48)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[1599, 9009])).
% 1.52/1.70 tff(9011,plain,
% 1.52/1.70 (~always3(s47)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[54, 9010])).
% 1.52/1.70 tff(9012,plain,
% 1.52/1.70 (~always3(s46)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[66, 9011])).
% 1.52/1.70 tff(9013,plain,
% 1.52/1.70 (~always3(s45)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[78, 9012])).
% 1.52/1.70 tff(9014,plain,
% 1.52/1.70 (~always3(s44)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[90, 9013])).
% 1.52/1.70 tff(9015,plain,
% 1.52/1.70 (~always3(s43)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[102, 9014])).
% 1.52/1.70 tff(9016,plain,
% 1.52/1.70 (~always3(s42)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[114, 9015])).
% 1.52/1.70 tff(9017,plain,
% 1.52/1.70 (~always3(s41)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[126, 9016])).
% 1.52/1.70 tff(9018,plain,
% 1.52/1.70 (~always3(s40)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[138, 9017])).
% 1.52/1.70 tff(9019,plain,
% 1.52/1.70 (~always3(s39)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[150, 9018])).
% 1.52/1.70 tff(9020,plain,
% 1.52/1.70 (~always3(s38)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[162, 9019])).
% 1.52/1.70 tff(9021,plain,
% 1.52/1.70 (~always3(s37)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[174, 9020])).
% 1.52/1.70 tff(9022,plain,
% 1.52/1.70 (~always3(s36)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[186, 9021])).
% 1.52/1.70 tff(9023,plain,
% 1.52/1.70 (~always3(s35)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[198, 9022])).
% 1.52/1.70 tff(9024,plain,
% 1.52/1.70 (~always3(s34)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[210, 9023])).
% 1.52/1.70 tff(9025,plain,
% 1.52/1.70 (~always3(s33)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[222, 9024])).
% 1.52/1.70 tff(9026,plain,
% 1.52/1.70 (~always3(s32)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[234, 9025])).
% 1.52/1.70 tff(9027,plain,
% 1.52/1.70 (~always3(s31)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[246, 9026])).
% 1.52/1.70 tff(9028,plain,
% 1.52/1.70 (~always3(s30)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[258, 9027])).
% 1.52/1.70 tff(9029,plain,
% 1.52/1.70 (~always3(s29)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[270, 9028])).
% 1.52/1.70 tff(9030,plain,
% 1.52/1.70 (~always3(s28)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[282, 9029])).
% 1.52/1.70 tff(9031,plain,
% 1.52/1.70 (~always3(s27)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[294, 9030])).
% 1.52/1.70 tff(9032,plain,
% 1.52/1.70 (~always3(s26)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[306, 9031])).
% 1.52/1.70 tff(9033,plain,
% 1.52/1.70 (~always3(s25)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[318, 9032])).
% 1.52/1.70 tff(9034,plain,
% 1.52/1.70 (~always3(s24)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[330, 9033])).
% 1.52/1.70 tff(9035,plain,
% 1.52/1.70 (~always3(s23)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[342, 9034])).
% 1.52/1.70 tff(9036,plain,
% 1.52/1.70 (~always3(s22)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[354, 9035])).
% 1.52/1.70 tff(9037,plain,
% 1.52/1.70 (~always3(s21)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[366, 9036])).
% 1.52/1.70 tff(9038,plain,
% 1.52/1.70 (~always3(s20)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[378, 9037])).
% 1.52/1.70 tff(9039,plain,
% 1.52/1.70 (~always3(s19)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[390, 9038])).
% 1.52/1.70 tff(9040,plain,
% 1.52/1.70 (~always3(s18)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[402, 9039])).
% 1.52/1.70 tff(9041,plain,
% 1.52/1.70 (~always3(s17)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[414, 9040])).
% 1.52/1.70 tff(9042,plain,
% 1.52/1.70 (~always3(s16)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[426, 9041])).
% 1.52/1.70 tff(9043,plain,
% 1.52/1.70 (~always3(s15)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[438, 9042])).
% 1.52/1.70 tff(9044,plain,
% 1.52/1.70 (~trans(s99, s15)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[5943, 9043])).
% 1.52/1.70 tff(9045,plain,
% 1.52/1.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s88) | (~trans(s99, s88)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s88) | (~trans(s99, s88)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(9046,plain,
% 1.52/1.70 (((~trans(s99, s88)) | (~always3(s99)) | always3(s88)) <=> ((~always3(s99)) | always3(s88) | (~trans(s99, s88)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(9047,plain,
% 1.52/1.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s88)) | (~always3(s99)) | always3(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s88) | (~trans(s99, s88))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[9046])).
% 1.52/1.70 tff(9048,plain,
% 1.52/1.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s88)) | (~always3(s99)) | always3(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s88) | (~trans(s99, s88)))),
% 1.52/1.70 inference(transitivity,[status(thm)],[9047, 9045])).
% 1.52/1.70 tff(9049,plain,
% 1.52/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s88)) | (~always3(s99)) | always3(s88))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(9050,plain,
% 1.52/1.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s88) | (~trans(s99, s88))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[9049, 9048])).
% 1.52/1.70 tff(9051,plain,
% 1.52/1.70 ($false),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[9050, 4316, 50, 5934, 8970])).
% 1.52/1.70 tff(9052,plain,((~trans(s99, s88)) | (~always3(s99)) | always3(s88)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.70 tff(9053,plain,
% 1.52/1.70 ((~trans(s99, s88)) | always3(s88)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[9052, 5932])).
% 1.52/1.70 tff(9054,plain,
% 1.52/1.70 (~trans(s99, s88)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[9053, 8970])).
% 1.52/1.70 tff(9055,plain,
% 1.52/1.70 (xuntil6(s92)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[2889, 528])).
% 1.52/1.70 tff(9056,plain,
% 1.52/1.70 (until5(s93)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[2894, 9055])).
% 1.52/1.70 tff(9057,plain,
% 1.52/1.70 (always3(s99)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[3025, 9056, 3001])).
% 1.52/1.70 tff(9058,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s99)) | (~m_main_v_state(s99, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s99)) | (~m_main_v_state(s99, c_busy)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(9059,plain,
% 1.52/1.70 (((~m_main_v_state(s99, c_busy)) | (~always3(s99))) <=> ((~always3(s99)) | (~m_main_v_state(s99, c_busy)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(9060,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s99, c_busy)) | (~always3(s99)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s99)) | (~m_main_v_state(s99, c_busy))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[9059])).
% 1.52/1.70 tff(9061,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s99, c_busy)) | (~always3(s99)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s99)) | (~m_main_v_state(s99, c_busy)))),
% 1.52/1.70 inference(transitivity,[status(thm)],[9060, 9058])).
% 1.52/1.70 tff(9062,plain,
% 1.52/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s99, c_busy)) | (~always3(s99)))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(9063,plain,
% 1.52/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s99)) | (~m_main_v_state(s99, c_busy))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[9062, 9061])).
% 1.52/1.70 tff(9064,plain,
% 1.52/1.70 (~m_main_v_state(s99, c_busy)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[9063, 3154, 9057])).
% 1.52/1.70 tff(9065,plain,
% 1.52/1.70 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s99, c_busy) | m_main_v_state(s99, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s99, c_busy) | m_main_v_state(s99, c_ready))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(9066,plain,
% 1.52/1.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s99, c_busy) | m_main_v_state(s99, c_ready))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(9067,plain,
% 1.52/1.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s99, c_busy) | m_main_v_state(s99, c_ready)),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[9066, 9065])).
% 1.52/1.70 tff(9068,plain,
% 1.52/1.70 (m_main_v_state(s99, c_ready)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[9067, 19, 9064])).
% 1.52/1.70 tff(9069,assumption,(~xuntil6(s95)), introduced(assumption)).
% 1.52/1.70 tff(9070,assumption,(~always3(s95)), introduced(assumption)).
% 1.52/1.70 tff(9071,plain,
% 1.52/1.70 (~always3(s94)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[502, 9070])).
% 1.52/1.70 tff(9072,plain,
% 1.52/1.70 (~node4(s94)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[2950, 595, 9071])).
% 1.52/1.70 tff(9073,plain,
% 1.52/1.70 (~node4(s95)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[2984, 595, 9070])).
% 1.52/1.70 tff(9074,plain,
% 1.52/1.70 (node4(s95) | (~until5(s95))),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[2991, 614, 9069])).
% 1.52/1.70 tff(9075,plain,
% 1.52/1.70 (~until5(s95)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[9074, 9073])).
% 1.52/1.70 tff(9076,plain,
% 1.52/1.70 (~xuntil6(s94)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[2980, 9075])).
% 1.52/1.70 tff(9077,plain,
% 1.52/1.70 (~always3(s93)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[514, 9071])).
% 1.52/1.70 tff(9078,plain,
% 1.52/1.70 (~node4(s93)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[2955, 595, 9077])).
% 1.52/1.70 tff(9079,plain,
% 1.52/1.70 (xuntil6(s93)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[2963, 9078])).
% 1.52/1.70 tff(9080,plain,
% 1.52/1.70 (until5(s94)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[2968, 9079])).
% 1.52/1.70 tff(9081,plain,
% 1.52/1.70 ($false),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[2975, 614, 9080, 9076, 9072])).
% 1.52/1.70 tff(9082,plain,(always3(s95) | (~until5(s93)) | xuntil6(s95)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.70 tff(9083,plain,
% 1.52/1.70 (always3(s95)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[9082, 9069, 2896])).
% 1.52/1.70 tff(9084,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s95)) | (~m_main_v_state(s95, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s95)) | (~m_main_v_state(s95, c_busy)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(9085,plain,
% 1.52/1.70 (((~m_main_v_state(s95, c_busy)) | (~always3(s95))) <=> ((~always3(s95)) | (~m_main_v_state(s95, c_busy)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(9086,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s95, c_busy)) | (~always3(s95)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s95)) | (~m_main_v_state(s95, c_busy))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[9085])).
% 1.52/1.70 tff(9087,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s95, c_busy)) | (~always3(s95)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s95)) | (~m_main_v_state(s95, c_busy)))),
% 1.52/1.70 inference(transitivity,[status(thm)],[9086, 9084])).
% 1.52/1.70 tff(9088,plain,
% 1.52/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s95, c_busy)) | (~always3(s95)))),
% 1.52/1.70 inference(quant_inst,[status(thm)],[])).
% 1.52/1.70 tff(9089,plain,
% 1.52/1.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s95)) | (~m_main_v_state(s95, c_busy))),
% 1.52/1.70 inference(modus_ponens,[status(thm)],[9088, 9087])).
% 1.52/1.70 tff(9090,plain,
% 1.52/1.70 (~m_main_v_state(s95, c_busy)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[9089, 3154, 9083])).
% 1.52/1.70 tff(9091,plain,
% 1.52/1.70 (always3(s96)),
% 1.52/1.70 inference(unit_resolution,[status(thm)],[490, 9083])).
% 1.52/1.70 tff(9092,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s96)) | (~m_main_v_state(s96, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s96)) | (~m_main_v_state(s96, c_busy)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(9093,plain,
% 1.52/1.70 (((~m_main_v_state(s96, c_busy)) | (~always3(s96))) <=> ((~always3(s96)) | (~m_main_v_state(s96, c_busy)))),
% 1.52/1.70 inference(rewrite,[status(thm)],[])).
% 1.52/1.70 tff(9094,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s96, c_busy)) | (~always3(s96)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s96)) | (~m_main_v_state(s96, c_busy))))),
% 1.52/1.70 inference(monotonicity,[status(thm)],[9093])).
% 1.52/1.70 tff(9095,plain,
% 1.52/1.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s96, c_busy)) | (~always3(s96)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s96)) | (~m_main_v_state(s96, c_busy)))),
% 1.52/1.71 inference(transitivity,[status(thm)],[9094, 9092])).
% 1.52/1.71 tff(9096,plain,
% 1.52/1.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s96, c_busy)) | (~always3(s96)))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9097,plain,
% 1.52/1.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s96)) | (~m_main_v_state(s96, c_busy))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9096, 9095])).
% 1.52/1.71 tff(9098,plain,
% 1.52/1.71 (~m_main_v_state(s96, c_busy)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9097, 3154, 9091])).
% 1.52/1.71 tff(9099,assumption,(until5(s95)), introduced(assumption)).
% 1.52/1.71 tff(9100,plain,
% 1.52/1.71 (xuntil6(s95) | node4(s95)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2991, 614, 9099])).
% 1.52/1.71 tff(9101,plain,
% 1.52/1.71 (node4(s95)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9100, 9069])).
% 1.52/1.71 tff(9102,plain,
% 1.52/1.71 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s95) | (~node4(s95)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s95) | (~node4(s95)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9103,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s95) | (~node4(s95)))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9104,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s95) | (~node4(s95))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9103, 9102])).
% 1.52/1.71 tff(9105,plain,
% 1.52/1.71 (m_main_v_request(s95)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9104, 3141, 9101])).
% 1.52/1.71 tff(9106,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s95, s96)) | node2(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s95, s96)) | node2(s95, s96))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9107,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s95, s96)) | node2(s95, s96))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9108,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s95, s96)) | node2(s95, s96)),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9107, 9106])).
% 1.52/1.71 tff(9109,plain,
% 1.52/1.71 (node2(s95, s96)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9108, 7, 486])).
% 1.52/1.71 tff(9110,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s95, c_ready)) | (~node2(s95, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s95, c_ready)) | (~node2(s95, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9111,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s95, c_ready)) | (~node2(s95, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95)))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9112,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s95, c_ready)) | (~node2(s95, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9111, 9110])).
% 1.52/1.71 tff(9113,plain,
% 1.52/1.71 ((~m_main_v_state(s95, c_ready)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9112, 3175, 9109])).
% 1.52/1.71 tff(9114,plain,
% 1.52/1.71 (~m_main_v_state(s95, c_ready)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9113, 9105, 9098])).
% 1.52/1.71 tff(9115,plain,
% 1.52/1.71 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s95, c_busy) | m_main_v_state(s95, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s95, c_busy) | m_main_v_state(s95, c_ready))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9116,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s95, c_busy) | m_main_v_state(s95, c_ready))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9117,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s95, c_busy) | m_main_v_state(s95, c_ready)),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9116, 9115])).
% 1.52/1.71 tff(9118,plain,
% 1.52/1.71 ($false),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9117, 19, 9090, 9114])).
% 1.52/1.71 tff(9119,plain,(xuntil6(s95) | (~until5(s95)) | (~until5(s93))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.71 tff(9120,plain,
% 1.52/1.71 (~until5(s95)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9119, 9069, 2896])).
% 1.52/1.71 tff(9121,plain,
% 1.52/1.71 (~xuntil6(s94)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2980, 9120])).
% 1.52/1.71 tff(9122,plain,
% 1.52/1.71 (xuntil6(s93) | (~until5(s93))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2962, 614, 3192])).
% 1.52/1.71 tff(9123,plain,
% 1.52/1.71 (xuntil6(s93)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9122, 2896])).
% 1.52/1.71 tff(9124,plain,
% 1.52/1.71 (until5(s94)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2968, 9123])).
% 1.52/1.71 tff(9125,plain,
% 1.52/1.71 (xuntil6(s94) | node4(s94)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2975, 614, 9124])).
% 1.52/1.71 tff(9126,plain,
% 1.52/1.71 (node4(s94)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9125, 9121])).
% 1.52/1.71 tff(9127,plain,
% 1.52/1.71 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s94) | (~node4(s94)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s94) | (~node4(s94)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9128,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s94) | (~node4(s94)))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9129,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s94) | (~node4(s94))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9128, 9127])).
% 1.52/1.71 tff(9130,plain,
% 1.52/1.71 (m_main_v_request(s94)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9129, 3141, 9126])).
% 1.52/1.71 tff(9131,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s94, s95)) | node2(s94, s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s94, s95)) | node2(s94, s95))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9132,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s94, s95)) | node2(s94, s95))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9133,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s94, s95)) | node2(s94, s95)),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9132, 9131])).
% 1.52/1.71 tff(9134,plain,
% 1.52/1.71 (node2(s94, s95)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9133, 7, 498])).
% 1.52/1.71 tff(9135,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s94, c_ready)) | (~node2(s94, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s94, c_ready)) | (~node2(s94, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9136,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s94, c_ready)) | (~node2(s94, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94)))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9137,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s94, c_ready)) | (~node2(s94, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9136, 9135])).
% 1.52/1.71 tff(9138,plain,
% 1.52/1.71 ((~m_main_v_state(s94, c_ready)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9137, 3175, 9134])).
% 1.52/1.71 tff(9139,plain,
% 1.52/1.71 (~m_main_v_state(s94, c_ready)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9138, 9130, 9090])).
% 1.52/1.71 tff(9140,plain,
% 1.52/1.71 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s94, c_busy) | m_main_v_state(s94, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s94, c_busy) | m_main_v_state(s94, c_ready))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9141,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s94, c_busy) | m_main_v_state(s94, c_ready))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9142,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s94, c_busy) | m_main_v_state(s94, c_ready)),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9141, 9140])).
% 1.52/1.71 tff(9143,plain,
% 1.52/1.71 (m_main_v_state(s94, c_busy)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9142, 19, 9139])).
% 1.52/1.71 tff(9144,plain,
% 1.52/1.71 (always3(s94)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2950, 595, 9126])).
% 1.52/1.71 tff(9145,plain,
% 1.52/1.71 ($false),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[3160, 3154, 9144, 9143])).
% 1.52/1.71 tff(9146,plain,(xuntil6(s95) | (~until5(s93))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.71 tff(9147,plain,
% 1.52/1.71 (xuntil6(s95)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9146, 2896])).
% 1.52/1.71 tff(9148,plain,
% 1.52/1.71 (until5(s96)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2997, 9147])).
% 1.52/1.71 tff(9149,plain,
% 1.52/1.71 (always3(s98)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2999, 2907, 2896])).
% 1.52/1.71 tff(9150,plain,
% 1.52/1.71 (always3(s99)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[454, 9149])).
% 1.52/1.71 tff(9151,plain,
% 1.52/1.71 (~m_main_v_state(s99, c_busy)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9063, 3154, 9150])).
% 1.52/1.71 tff(9152,assumption,(until5(s98)), introduced(assumption)).
% 1.52/1.71 tff(9153,plain,
% 1.52/1.71 (xuntil6(s98) | node4(s98)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2913, 614, 9152])).
% 1.52/1.71 tff(9154,plain,
% 1.52/1.71 (node4(s98)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9153, 2907])).
% 1.52/1.71 tff(9155,plain,
% 1.52/1.71 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s98) | (~node4(s98)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s98) | (~node4(s98)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9156,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s98) | (~node4(s98)))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9157,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s98) | (~node4(s98))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9156, 9155])).
% 1.52/1.71 tff(9158,plain,
% 1.52/1.71 (m_main_v_request(s98)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9157, 3141, 9154])).
% 1.52/1.71 tff(9159,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s98, s99)) | node2(s98, s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s98, s99)) | node2(s98, s99))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9160,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s98, s99)) | node2(s98, s99))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9161,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s98, s99)) | node2(s98, s99)),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9160, 9159])).
% 1.52/1.71 tff(9162,plain,
% 1.52/1.71 (node2(s98, s99)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9161, 7, 447])).
% 1.52/1.71 tff(9163,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s98, c_ready)) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s98, c_ready)) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9164,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s98, c_ready)) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98)))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9165,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s98, c_ready)) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9164, 9163])).
% 1.52/1.71 tff(9166,plain,
% 1.52/1.71 ((~m_main_v_state(s98, c_ready)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s98))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9165, 3175, 9162])).
% 1.52/1.71 tff(9167,plain,
% 1.52/1.71 (~m_main_v_state(s98, c_ready)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9166, 9158, 9151])).
% 1.52/1.71 tff(9168,plain,
% 1.52/1.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s98)) | (~m_main_v_state(s98, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s98)) | (~m_main_v_state(s98, c_busy)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9169,plain,
% 1.52/1.71 (((~m_main_v_state(s98, c_busy)) | (~always3(s98))) <=> ((~always3(s98)) | (~m_main_v_state(s98, c_busy)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9170,plain,
% 1.52/1.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s98, c_busy)) | (~always3(s98)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s98)) | (~m_main_v_state(s98, c_busy))))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[9169])).
% 1.52/1.71 tff(9171,plain,
% 1.52/1.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s98, c_busy)) | (~always3(s98)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s98)) | (~m_main_v_state(s98, c_busy)))),
% 1.52/1.71 inference(transitivity,[status(thm)],[9170, 9168])).
% 1.52/1.71 tff(9172,plain,
% 1.52/1.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s98, c_busy)) | (~always3(s98)))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9173,plain,
% 1.52/1.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s98)) | (~m_main_v_state(s98, c_busy))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9172, 9171])).
% 1.52/1.71 tff(9174,plain,
% 1.52/1.71 (~m_main_v_state(s98, c_busy)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9173, 3154, 9149])).
% 1.52/1.71 tff(9175,plain,
% 1.52/1.71 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s98, c_busy) | m_main_v_state(s98, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s98, c_busy) | m_main_v_state(s98, c_ready))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9176,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s98, c_busy) | m_main_v_state(s98, c_ready))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9177,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s98, c_busy) | m_main_v_state(s98, c_ready)),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9176, 9175])).
% 1.52/1.71 tff(9178,plain,
% 1.52/1.71 ($false),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9177, 19, 9174, 9167])).
% 1.52/1.71 tff(9179,plain,(xuntil6(s98) | (~until5(s98)) | (~until5(s93))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.71 tff(9180,plain,
% 1.52/1.71 (~until5(s98)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9179, 2907, 2896])).
% 1.52/1.71 tff(9181,plain,
% 1.52/1.71 (~xuntil6(s97)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2919, 9180])).
% 1.52/1.71 tff(9182,assumption,(~xuntil6(s97)), introduced(assumption)).
% 1.52/1.71 tff(9183,assumption,(until5(s96)), introduced(assumption)).
% 1.52/1.71 tff(9184,assumption,(~always3(s97)), introduced(assumption)).
% 1.52/1.71 tff(9185,plain,
% 1.52/1.71 (~always3(s96)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[478, 9184])).
% 1.52/1.71 tff(9186,plain,
% 1.52/1.71 (~node4(s96)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2936, 595, 9185])).
% 1.52/1.71 tff(9187,plain,
% 1.52/1.71 (xuntil6(s96) | node4(s96)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2943, 614, 9183])).
% 1.52/1.71 tff(9188,plain,
% 1.52/1.71 (xuntil6(s96)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9187, 9186])).
% 1.52/1.71 tff(9189,plain,
% 1.52/1.71 (until5(s97)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2931, 9188])).
% 1.52/1.71 tff(9190,plain,
% 1.52/1.71 (node4(s97) | (~until5(s97))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2926, 614, 9182])).
% 1.52/1.71 tff(9191,plain,
% 1.52/1.71 (node4(s97)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9190, 9189])).
% 1.52/1.71 tff(9192,plain,
% 1.52/1.71 ($false),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2901, 595, 9184, 9191])).
% 1.52/1.71 tff(9193,plain,(always3(s97) | xuntil6(s97) | (~until5(s96))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.71 tff(9194,plain,
% 1.52/1.71 (always3(s97)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9193, 9183, 9182])).
% 1.52/1.71 tff(9195,plain,
% 1.52/1.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s97)) | (~m_main_v_state(s97, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s97)) | (~m_main_v_state(s97, c_busy)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9196,plain,
% 1.52/1.71 (((~m_main_v_state(s97, c_busy)) | (~always3(s97))) <=> ((~always3(s97)) | (~m_main_v_state(s97, c_busy)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9197,plain,
% 1.52/1.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s97, c_busy)) | (~always3(s97)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s97)) | (~m_main_v_state(s97, c_busy))))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[9196])).
% 1.52/1.71 tff(9198,plain,
% 1.52/1.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s97, c_busy)) | (~always3(s97)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s97)) | (~m_main_v_state(s97, c_busy)))),
% 1.52/1.71 inference(transitivity,[status(thm)],[9197, 9195])).
% 1.52/1.71 tff(9199,plain,
% 1.52/1.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s97, c_busy)) | (~always3(s97)))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9200,plain,
% 1.52/1.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s97)) | (~m_main_v_state(s97, c_busy))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9199, 9198])).
% 1.52/1.71 tff(9201,plain,
% 1.52/1.71 (~m_main_v_state(s97, c_busy)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9200, 3154, 9194])).
% 1.52/1.71 tff(9202,assumption,(~m_main_v_state(s98, c_busy)), introduced(assumption)).
% 1.52/1.71 tff(9203,plain,
% 1.52/1.71 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s97, c_busy) | m_main_v_state(s97, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s97, c_busy) | m_main_v_state(s97, c_ready))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9204,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s97, c_busy) | m_main_v_state(s97, c_ready))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9205,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s97, c_busy) | m_main_v_state(s97, c_ready)),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9204, 9203])).
% 1.52/1.71 tff(9206,plain,
% 1.52/1.71 (m_main_v_state(s97, c_ready)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9205, 19, 9201])).
% 1.52/1.71 tff(9207,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s97, s98)) | node2(s97, s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s97, s98)) | node2(s97, s98))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9208,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s97, s98)) | node2(s97, s98))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9209,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s97, s98)) | node2(s97, s98)),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9208, 9207])).
% 1.52/1.71 tff(9210,plain,
% 1.52/1.71 (node2(s97, s98)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9209, 7, 462])).
% 1.52/1.71 tff(9211,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s97, c_ready)) | (~node2(s97, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s97, c_ready)) | (~node2(s97, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9212,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s97, c_ready)) | (~node2(s97, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97)))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9213,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s97, c_ready)) | (~node2(s97, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9212, 9211])).
% 1.52/1.71 tff(9214,plain,
% 1.52/1.71 ((~m_main_v_state(s97, c_ready)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9213, 3175, 9210])).
% 1.52/1.71 tff(9215,plain,
% 1.52/1.71 (~m_main_v_request(s97)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9214, 9206, 9202])).
% 1.52/1.71 tff(9216,plain,
% 1.52/1.71 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s97) | (~node4(s97)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s97) | (~node4(s97)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9217,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s97) | (~node4(s97)))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9218,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s97) | (~node4(s97))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9217, 9216])).
% 1.52/1.71 tff(9219,plain,
% 1.52/1.71 (~node4(s97)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9218, 3141, 9215])).
% 1.52/1.71 tff(9220,plain,
% 1.52/1.71 (~until5(s97)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9190, 9219])).
% 1.52/1.71 tff(9221,plain,
% 1.52/1.71 (~xuntil6(s96)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2931, 9220])).
% 1.52/1.71 tff(9222,plain,
% 1.52/1.71 (node4(s96)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9187, 9221])).
% 1.52/1.71 tff(9223,plain,
% 1.52/1.71 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s96) | (~node4(s96)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s96) | (~node4(s96)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9224,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s96) | (~node4(s96)))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9225,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s96) | (~node4(s96))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9224, 9223])).
% 1.52/1.71 tff(9226,plain,
% 1.52/1.71 (m_main_v_request(s96)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9225, 3141, 9222])).
% 1.52/1.71 tff(9227,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s96, s97)) | node2(s96, s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s96, s97)) | node2(s96, s97))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9228,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s96, s97)) | node2(s96, s97))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9229,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s96, s97)) | node2(s96, s97)),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9228, 9227])).
% 1.52/1.71 tff(9230,plain,
% 1.52/1.71 (node2(s96, s97)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9229, 7, 474])).
% 1.52/1.71 tff(9231,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s96, c_ready)) | (~node2(s96, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s96, c_ready)) | (~node2(s96, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9232,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s96, c_ready)) | (~node2(s96, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96)))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9233,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s96, c_ready)) | (~node2(s96, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9232, 9231])).
% 1.52/1.71 tff(9234,plain,
% 1.52/1.71 ((~m_main_v_state(s96, c_ready)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s96))),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9233, 3175, 9230])).
% 1.52/1.71 tff(9235,plain,
% 1.52/1.71 (~m_main_v_state(s96, c_ready)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9234, 9226, 9201])).
% 1.52/1.71 tff(9236,plain,
% 1.52/1.71 (always3(s96)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2936, 595, 9222])).
% 1.52/1.71 tff(9237,plain,
% 1.52/1.71 (~m_main_v_state(s96, c_busy)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9097, 3154, 9236])).
% 1.52/1.71 tff(9238,plain,
% 1.52/1.71 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s96, c_busy) | m_main_v_state(s96, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s96, c_busy) | m_main_v_state(s96, c_ready))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9239,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s96, c_busy) | m_main_v_state(s96, c_ready))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9240,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s96, c_busy) | m_main_v_state(s96, c_ready)),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9239, 9238])).
% 1.52/1.71 tff(9241,plain,
% 1.52/1.71 ($false),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9240, 19, 9237, 9235])).
% 1.52/1.71 tff(9242,plain,((~until5(s96)) | xuntil6(s97) | m_main_v_state(s98, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.71 tff(9243,plain,
% 1.52/1.71 (m_main_v_state(s98, c_busy)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9242, 9181, 9148])).
% 1.52/1.71 tff(9244,plain,
% 1.52/1.71 ($false),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9173, 3154, 9149, 9243])).
% 1.52/1.71 tff(9245,plain,(xuntil6(s98) | (~until5(s93))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.71 tff(9246,plain,
% 1.52/1.71 (xuntil6(s98)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9245, 9056])).
% 1.52/1.71 tff(9247,plain,
% 1.52/1.71 (until5(s99)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[3023, 9246])).
% 1.52/1.71 tff(9248,plain,
% 1.52/1.71 (node4(s99)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[3018, 9247, 3001])).
% 1.52/1.71 tff(9249,plain,
% 1.52/1.71 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s99) | (~node4(s99)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s99) | (~node4(s99)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9250,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s99) | (~node4(s99)))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9251,plain,
% 1.52/1.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s99) | (~node4(s99))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9250, 9249])).
% 1.52/1.71 tff(9252,plain,
% 1.52/1.71 (m_main_v_request(s99)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9251, 3141, 9248])).
% 1.52/1.71 tff(9253,plain,
% 1.52/1.71 (xuntil6(s95)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9146, 9056])).
% 1.52/1.71 tff(9254,plain,
% 1.52/1.71 (until5(s96)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[2997, 9253])).
% 1.52/1.71 tff(9255,plain,
% 1.52/1.71 (~always3(s74)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[1088, 8766])).
% 1.52/1.71 tff(9256,assumption,(~always3(s85)), introduced(assumption)).
% 1.52/1.71 tff(9257,assumption,(~always3(s91)), introduced(assumption)).
% 1.52/1.71 tff(9258,plain,
% 1.52/1.71 (~trans(s99, s75)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[8774, 9057, 8766])).
% 1.52/1.71 tff(9259,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s92) | (~trans(s99, s92)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s92) | (~trans(s99, s92)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9260,plain,
% 1.52/1.71 (((~trans(s99, s92)) | (~always3(s99)) | always3(s92)) <=> ((~always3(s99)) | always3(s92) | (~trans(s99, s92)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9261,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s92)) | (~always3(s99)) | always3(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s92) | (~trans(s99, s92))))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[9260])).
% 1.52/1.71 tff(9262,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s92)) | (~always3(s99)) | always3(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s92) | (~trans(s99, s92)))),
% 1.52/1.71 inference(transitivity,[status(thm)],[9261, 9259])).
% 1.52/1.71 tff(9263,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s92)) | (~always3(s99)) | always3(s92))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9264,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s92) | (~trans(s99, s92))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9263, 9262])).
% 1.52/1.71 tff(9265,plain,
% 1.52/1.71 ($false),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9264, 4902, 50, 5934, 528])).
% 1.52/1.71 tff(9266,plain,((~trans(s99, s92)) | (~always3(s99)) | always3(s92)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.71 tff(9267,plain,
% 1.52/1.71 (~trans(s99, s92)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9266, 9057, 528])).
% 1.52/1.71 tff(9268,assumption,(~always3(s96)), introduced(assumption)).
% 1.52/1.71 tff(9269,plain,
% 1.52/1.71 (~always3(s95)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[490, 9268])).
% 1.52/1.71 tff(9270,plain,
% 1.52/1.71 (~always3(s94)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[502, 9269])).
% 1.52/1.71 tff(9271,plain,
% 1.52/1.71 (~always3(s93)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[514, 9270])).
% 1.52/1.71 tff(9272,plain,
% 1.52/1.71 (always3(s99)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[3025, 2896, 3001])).
% 1.52/1.71 tff(9273,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s96) | (~trans(s99, s96)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s96) | (~trans(s99, s96)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9274,plain,
% 1.52/1.71 (((~trans(s99, s96)) | (~always3(s99)) | always3(s96)) <=> ((~always3(s99)) | always3(s96) | (~trans(s99, s96)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9275,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s96)) | (~always3(s99)) | always3(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s96) | (~trans(s99, s96))))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[9274])).
% 1.52/1.71 tff(9276,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s96)) | (~always3(s99)) | always3(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s96) | (~trans(s99, s96)))),
% 1.52/1.71 inference(transitivity,[status(thm)],[9275, 9273])).
% 1.52/1.71 tff(9277,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s96)) | (~always3(s99)) | always3(s96))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9278,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s96) | (~trans(s99, s96))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9277, 9276])).
% 1.52/1.71 tff(9279,plain,
% 1.52/1.71 ($false),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9278, 5601, 50, 5934, 9268])).
% 1.52/1.71 tff(9280,plain,((~trans(s99, s96)) | (~always3(s99)) | always3(s96)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.71 tff(9281,plain,
% 1.52/1.71 (~trans(s99, s96)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9280, 9268, 9272])).
% 1.52/1.71 tff(9282,plain,
% 1.52/1.71 (xuntil6(s98)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9245, 2896])).
% 1.52/1.71 tff(9283,plain,
% 1.52/1.71 (until5(s99)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[3023, 9282])).
% 1.52/1.71 tff(9284,plain,
% 1.52/1.71 (node4(s99)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[3018, 9283, 3001])).
% 1.52/1.71 tff(9285,plain,
% 1.52/1.71 (m_main_v_request(s99)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9251, 3141, 9284])).
% 1.52/1.71 tff(9286,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s97)) | node2(s99, s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s97)) | node2(s99, s97))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9287,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s97)) | node2(s99, s97))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9288,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s97)) | node2(s99, s97)),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9287, 9286])).
% 1.52/1.71 tff(9289,plain,
% 1.52/1.71 (node2(s99, s97)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9288, 4880, 7])).
% 1.52/1.71 tff(9290,assumption,(m_main_v_request(s99)), introduced(assumption)).
% 1.52/1.71 tff(9291,plain,
% 1.52/1.71 (~m_main_v_state(s99, c_busy)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9063, 3154, 5934])).
% 1.52/1.71 tff(9292,plain,
% 1.52/1.71 (m_main_v_state(s99, c_ready)),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9067, 19, 9291])).
% 1.52/1.71 tff(9293,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s97) | (~trans(s99, s97)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s97) | (~trans(s99, s97)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9294,plain,
% 1.52/1.71 (((~trans(s99, s97)) | (~always3(s99)) | always3(s97)) <=> ((~always3(s99)) | always3(s97) | (~trans(s99, s97)))),
% 1.52/1.71 inference(rewrite,[status(thm)],[])).
% 1.52/1.71 tff(9295,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s97)) | (~always3(s99)) | always3(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s97) | (~trans(s99, s97))))),
% 1.52/1.71 inference(monotonicity,[status(thm)],[9294])).
% 1.52/1.71 tff(9296,plain,
% 1.52/1.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s97)) | (~always3(s99)) | always3(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s97) | (~trans(s99, s97)))),
% 1.52/1.71 inference(transitivity,[status(thm)],[9295, 9293])).
% 1.52/1.71 tff(9297,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s97)) | (~always3(s99)) | always3(s97))),
% 1.52/1.71 inference(quant_inst,[status(thm)],[])).
% 1.52/1.71 tff(9298,plain,
% 1.52/1.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s97) | (~trans(s99, s97))),
% 1.52/1.71 inference(modus_ponens,[status(thm)],[9297, 9296])).
% 1.52/1.71 tff(9299,plain,
% 1.52/1.71 ($false),
% 1.52/1.71 inference(unit_resolution,[status(thm)],[9298, 4880, 50, 5934, 9184])).
% 1.52/1.71 tff(9300,plain,((~trans(s99, s97)) | (~always3(s99)) | always3(s97)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.72 tff(9301,plain,
% 1.52/1.72 (always3(s97)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9300, 4880, 5934])).
% 1.52/1.72 tff(9302,plain,
% 1.52/1.72 (~m_main_v_state(s97, c_busy)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9200, 3154, 9301])).
% 1.52/1.72 tff(9303,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s97, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s97)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s97, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s97)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9304,plain,
% 1.52/1.72 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s97, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s97)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9305,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s97, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s97))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[9304])).
% 1.52/1.72 tff(9306,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s97, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s97)))),
% 1.52/1.72 inference(transitivity,[status(thm)],[9305, 9303])).
% 1.52/1.72 tff(9307,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s97)) | m_main_v_state(s97, c_busy) | (~m_main_v_request(s99)))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(9308,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s97, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s97))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[9307, 9306])).
% 1.52/1.72 tff(9309,plain,
% 1.52/1.72 ($false),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9308, 3175, 9302, 9292, 9290, 9289])).
% 1.52/1.72 tff(9310,plain,((~trans(s99, s97)) | (~m_main_v_request(s99)) | (~always3(s99))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.72 tff(9311,plain,
% 1.52/1.72 (~trans(s99, s97)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9310, 9285, 9272])).
% 1.52/1.72 tff(9312,plain,
% 1.52/1.72 (~always3(s35)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[198, 8007])).
% 1.52/1.72 tff(9313,plain,
% 1.52/1.72 (~always3(s34)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[210, 9312])).
% 1.52/1.72 tff(9314,plain,
% 1.52/1.72 (~always3(s33)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[222, 9313])).
% 1.52/1.72 tff(9315,plain,
% 1.52/1.72 (~always3(s32)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[234, 9314])).
% 1.52/1.72 tff(9316,plain,
% 1.52/1.72 (~always3(s31)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[246, 9315])).
% 1.52/1.72 tff(9317,plain,
% 1.52/1.72 (~always3(s30)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[258, 9316])).
% 1.52/1.72 tff(9318,plain,
% 1.52/1.72 (~always3(s29)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[270, 9317])).
% 1.52/1.72 tff(9319,plain,
% 1.52/1.72 (~always3(s28)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[282, 9318])).
% 1.52/1.72 tff(9320,plain,
% 1.52/1.72 (~always3(s27)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[294, 9319])).
% 1.52/1.72 tff(9321,plain,
% 1.52/1.72 (~always3(s26)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[306, 9320])).
% 1.52/1.72 tff(9322,plain,
% 1.52/1.72 (~always3(s25)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[318, 9321])).
% 1.52/1.72 tff(9323,plain,
% 1.52/1.72 (~always3(s24)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[330, 9322])).
% 1.52/1.72 tff(9324,plain,
% 1.52/1.72 (~always3(s23)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[342, 9323])).
% 1.52/1.72 tff(9325,plain,
% 1.52/1.72 (~always3(s22)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[354, 9324])).
% 1.52/1.72 tff(9326,plain,
% 1.52/1.72 (~always3(s21)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[366, 9325])).
% 1.52/1.72 tff(9327,plain,
% 1.52/1.72 (~always3(s20)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[378, 9326])).
% 1.52/1.72 tff(9328,plain,
% 1.52/1.72 (~trans(s99, s20)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6173, 9272, 9327])).
% 1.52/1.72 tff(9329,plain,
% 1.52/1.72 (~always3(s73)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1117, 8663])).
% 1.52/1.72 tff(9330,plain,
% 1.52/1.72 (~always3(s72)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1146, 9329])).
% 1.52/1.72 tff(9331,plain,
% 1.52/1.72 (~always3(s71)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1175, 9330])).
% 1.52/1.72 tff(9332,plain,
% 1.52/1.72 (~always3(s70)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1204, 9331])).
% 1.52/1.72 tff(9333,plain,
% 1.52/1.72 (~always3(s69)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1233, 9332])).
% 1.52/1.72 tff(9334,plain,
% 1.52/1.72 (~trans(s99, s69)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[8732, 9272, 9333])).
% 1.52/1.72 tff(9335,plain,
% 1.52/1.72 (~always3(s68)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1262, 9333])).
% 1.52/1.72 tff(9336,plain,
% 1.52/1.72 (~always3(s67)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1291, 9335])).
% 1.52/1.72 tff(9337,plain,
% 1.52/1.72 (~always3(s66)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1320, 9336])).
% 1.52/1.72 tff(9338,plain,
% 1.52/1.72 (~always3(s65)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1349, 9337])).
% 1.52/1.72 tff(9339,plain,
% 1.52/1.72 (~always3(s64)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1378, 9338])).
% 1.52/1.72 tff(9340,plain,
% 1.52/1.72 (~always3(s63)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1407, 9339])).
% 1.52/1.72 tff(9341,plain,
% 1.52/1.72 (~always3(s62)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1431, 9340])).
% 1.52/1.72 tff(9342,plain,
% 1.52/1.72 (~always3(s61)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1443, 9341])).
% 1.52/1.72 tff(9343,plain,
% 1.52/1.72 (~always3(s60)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1455, 9342])).
% 1.52/1.72 tff(9344,plain,
% 1.52/1.72 (~always3(s59)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1467, 9343])).
% 1.52/1.72 tff(9345,plain,
% 1.52/1.72 (~always3(s58)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1479, 9344])).
% 1.52/1.72 tff(9346,plain,
% 1.52/1.72 (~always3(s57)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1491, 9345])).
% 1.52/1.72 tff(9347,plain,
% 1.52/1.72 (~always3(s56)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1503, 9346])).
% 1.52/1.72 tff(9348,plain,
% 1.52/1.72 (~always3(s55)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1515, 9347])).
% 1.52/1.72 tff(9349,plain,
% 1.52/1.72 (~always3(s54)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1527, 9348])).
% 1.52/1.72 tff(9350,plain,
% 1.52/1.72 (~always3(s53)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1539, 9349])).
% 1.52/1.72 tff(9351,plain,
% 1.52/1.72 (~always3(s52)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1551, 9350])).
% 1.52/1.72 tff(9352,plain,
% 1.52/1.72 (~always3(s51)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1563, 9351])).
% 1.52/1.72 tff(9353,plain,
% 1.52/1.72 (~always3(s50)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1575, 9352])).
% 1.52/1.72 tff(9354,plain,
% 1.52/1.72 (~always3(s49)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1587, 9353])).
% 1.52/1.72 tff(9355,plain,
% 1.52/1.72 (~always3(s48)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1599, 9354])).
% 1.52/1.72 tff(9356,plain,
% 1.52/1.72 (~always3(s47)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[54, 9355])).
% 1.52/1.72 tff(9357,plain,
% 1.52/1.72 (~always3(s46)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[66, 9356])).
% 1.52/1.72 tff(9358,plain,
% 1.52/1.72 (~always3(s45)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[78, 9357])).
% 1.52/1.72 tff(9359,plain,
% 1.52/1.72 (~always3(s44)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[90, 9358])).
% 1.52/1.72 tff(9360,plain,
% 1.52/1.72 (~always3(s43)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[102, 9359])).
% 1.52/1.72 tff(9361,plain,
% 1.52/1.72 (~trans(s99, s43)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6195, 9272, 9360])).
% 1.52/1.72 tff(9362,plain,
% 1.52/1.72 (~always3(s19)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[390, 9327])).
% 1.52/1.72 tff(9363,plain,
% 1.52/1.72 (~always3(s18)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[402, 9362])).
% 1.52/1.72 tff(9364,plain,
% 1.52/1.72 (~always3(s17)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[414, 9363])).
% 1.52/1.72 tff(9365,plain,
% 1.52/1.72 (~always3(s16)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[426, 9364])).
% 1.52/1.72 tff(9366,plain,
% 1.52/1.72 (~always3(s15)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[438, 9365])).
% 1.52/1.72 tff(9367,plain,
% 1.52/1.72 (~always3(s14)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1942, 9366])).
% 1.52/1.72 tff(9368,plain,
% 1.52/1.72 (~always3(s13)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1954, 9367])).
% 1.52/1.72 tff(9369,plain,
% 1.52/1.72 (~always3(s12)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1966, 9368])).
% 1.52/1.72 tff(9370,plain,
% 1.52/1.72 (~always3(s11)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1978, 9369])).
% 1.52/1.72 tff(9371,plain,
% 1.52/1.72 (~always3(s10)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[1990, 9370])).
% 1.52/1.72 tff(9372,plain,
% 1.52/1.72 (~trans(s99, s10)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6206, 9272, 9371])).
% 1.52/1.72 tff(9373,plain,
% 1.52/1.72 (~trans(s99, s62)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[8310, 9272, 9341])).
% 1.52/1.72 tff(9374,plain,
% 1.52/1.72 (~trans(s99, s56)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[8321, 9272, 9347])).
% 1.52/1.72 tff(9375,plain,
% 1.52/1.72 (~trans(s99, s50)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[8335, 9272, 9353])).
% 1.52/1.72 tff(9376,plain,
% 1.52/1.72 (~always3(s84)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[798, 9256])).
% 1.52/1.72 tff(9377,plain,
% 1.52/1.72 (~always3(s83)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[827, 9376])).
% 1.52/1.72 tff(9378,plain,
% 1.52/1.72 (~always3(s82)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[856, 9377])).
% 1.52/1.72 tff(9379,plain,
% 1.52/1.72 (~always3(s81)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[885, 9378])).
% 1.52/1.72 tff(9380,plain,
% 1.52/1.72 (~always3(s80)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[914, 9379])).
% 1.52/1.72 tff(9381,assumption,(~always3(s80)), introduced(assumption)).
% 1.52/1.72 tff(9382,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s80) | (~trans(s99, s80)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s80) | (~trans(s99, s80)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9383,plain,
% 1.52/1.72 (((~trans(s99, s80)) | (~always3(s99)) | always3(s80)) <=> ((~always3(s99)) | always3(s80) | (~trans(s99, s80)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9384,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s80)) | (~always3(s99)) | always3(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s80) | (~trans(s99, s80))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[9383])).
% 1.52/1.72 tff(9385,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s80)) | (~always3(s99)) | always3(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s80) | (~trans(s99, s80)))),
% 1.52/1.72 inference(transitivity,[status(thm)],[9384, 9382])).
% 1.52/1.72 tff(9386,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s80)) | (~always3(s99)) | always3(s80))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(9387,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s80) | (~trans(s99, s80))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[9386, 9385])).
% 1.52/1.72 tff(9388,plain,
% 1.52/1.72 ($false),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9387, 5001, 50, 5934, 9381])).
% 1.52/1.72 tff(9389,plain,((~trans(s99, s80)) | (~always3(s99)) | always3(s80)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.72 tff(9390,plain,
% 1.52/1.72 (~trans(s99, s80)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9389, 9272, 9380])).
% 1.52/1.72 tff(9391,plain,
% 1.52/1.72 (~trans(s99, s12)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6217, 9272, 9369])).
% 1.52/1.72 tff(9392,plain,
% 1.52/1.72 (~trans(s99, s65)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[8748, 9272, 9338])).
% 1.52/1.72 tff(9393,plain,
% 1.52/1.72 (~trans(s99, s51)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[8347, 9272, 9352])).
% 1.52/1.72 tff(9394,plain,
% 1.52/1.72 (~trans(s99, s18)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6228, 9272, 9363])).
% 1.52/1.72 tff(9395,plain,
% 1.52/1.72 (~trans(s99, s45)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6239, 9272, 9358])).
% 1.52/1.72 tff(9396,plain,
% 1.52/1.72 (~trans(s99, s68)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[8762, 9272, 9335])).
% 1.52/1.72 tff(9397,plain,
% 1.52/1.72 (~trans(s99, s26)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6250, 9272, 9321])).
% 1.52/1.72 tff(9398,assumption,(~trans(s99, s75)), introduced(assumption)).
% 1.52/1.72 tff(9399,plain,
% 1.52/1.72 (~always3(s9)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[2002, 9371])).
% 1.52/1.72 tff(9400,plain,
% 1.52/1.72 (~always3(s8)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[2014, 9399])).
% 1.52/1.72 tff(9401,plain,
% 1.52/1.72 (~trans(s99, s8)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6272, 9272, 9400])).
% 1.52/1.72 tff(9402,assumption,(~trans(s99, s92)), introduced(assumption)).
% 1.52/1.72 tff(9403,assumption,(~always3(s81)), introduced(assumption)).
% 1.52/1.72 tff(9404,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s81) | (~trans(s99, s81)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s81) | (~trans(s99, s81)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9405,plain,
% 1.52/1.72 (((~trans(s99, s81)) | (~always3(s99)) | always3(s81)) <=> ((~always3(s99)) | always3(s81) | (~trans(s99, s81)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9406,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s81)) | (~always3(s99)) | always3(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s81) | (~trans(s99, s81))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[9405])).
% 1.52/1.72 tff(9407,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s81)) | (~always3(s99)) | always3(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s81) | (~trans(s99, s81)))),
% 1.52/1.72 inference(transitivity,[status(thm)],[9406, 9404])).
% 1.52/1.72 tff(9408,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s81)) | (~always3(s99)) | always3(s81))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(9409,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s81) | (~trans(s99, s81))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[9408, 9407])).
% 1.52/1.72 tff(9410,plain,
% 1.52/1.72 ($false),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9409, 5122, 50, 5934, 9403])).
% 1.52/1.72 tff(9411,plain,((~trans(s99, s81)) | (~always3(s99)) | always3(s81)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.72 tff(9412,plain,
% 1.52/1.72 (~trans(s99, s81)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9411, 9272, 9379])).
% 1.52/1.72 tff(9413,plain,
% 1.52/1.72 (~trans(s99, s35)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6283, 9272, 9312])).
% 1.52/1.72 tff(9414,plain,
% 1.52/1.72 (~trans(s99, s30)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6294, 9272, 9317])).
% 1.52/1.72 tff(9415,plain,
% 1.52/1.72 (~always3(s7)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[2026, 9400])).
% 1.52/1.72 tff(9416,plain,
% 1.52/1.72 (~always3(s6)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[2038, 9415])).
% 1.52/1.72 tff(9417,plain,
% 1.52/1.72 (~always3(s5)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[2050, 9416])).
% 1.52/1.72 tff(9418,plain,
% 1.52/1.72 (~always3(s4)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[2062, 9417])).
% 1.52/1.72 tff(9419,plain,
% 1.52/1.72 (~always3(s3)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[2074, 9418])).
% 1.52/1.72 tff(9420,plain,
% 1.52/1.72 (~always3(s2)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[2086, 9419])).
% 1.52/1.72 tff(9421,plain,
% 1.52/1.72 (~always3(s1)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[2098, 9420])).
% 1.52/1.72 tff(9422,plain,
% 1.52/1.72 (~always3(s0)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[2114, 9421])).
% 1.52/1.72 tff(9423,plain,
% 1.52/1.72 (~trans(s99, s0)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6307, 9272, 9422])).
% 1.52/1.72 tff(9424,plain,
% 1.52/1.72 (~trans(s99, s3)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6318, 9272, 9419])).
% 1.52/1.72 tff(9425,plain,
% 1.52/1.72 (~trans(s99, s23)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6329, 9272, 9324])).
% 1.52/1.72 tff(9426,plain,
% 1.52/1.72 (~trans(s99, s71)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[8804, 9272, 9331])).
% 1.52/1.72 tff(9427,plain,
% 1.52/1.72 (~trans(s99, s66)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[8815, 9272, 9337])).
% 1.52/1.72 tff(9428,plain,
% 1.52/1.72 (~trans(s99, s27)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6340, 9272, 9320])).
% 1.52/1.72 tff(9429,plain,
% 1.52/1.72 (~trans(s99, s24)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6351, 9272, 9323])).
% 1.52/1.72 tff(9430,plain,
% 1.52/1.72 (~always3(s90)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[551, 9257])).
% 1.52/1.72 tff(9431,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s90) | (~trans(s99, s90)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s90) | (~trans(s99, s90)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9432,plain,
% 1.52/1.72 (((~trans(s99, s90)) | (~always3(s99)) | always3(s90)) <=> ((~always3(s99)) | always3(s90) | (~trans(s99, s90)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9433,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s90)) | (~always3(s99)) | always3(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s90) | (~trans(s99, s90))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[9432])).
% 1.52/1.72 tff(9434,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s90)) | (~always3(s99)) | always3(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s90) | (~trans(s99, s90)))),
% 1.52/1.72 inference(transitivity,[status(thm)],[9433, 9431])).
% 1.52/1.72 tff(9435,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s90)) | (~always3(s99)) | always3(s90))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(9436,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s90) | (~trans(s99, s90))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[9435, 9434])).
% 1.52/1.72 tff(9437,plain,
% 1.52/1.72 ($false),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9436, 5256, 50, 5934, 650])).
% 1.52/1.72 tff(9438,plain,((~trans(s99, s90)) | (~always3(s99)) | always3(s90)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.72 tff(9439,plain,
% 1.52/1.72 (~trans(s99, s90)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9438, 9272, 9430])).
% 1.52/1.72 tff(9440,plain,
% 1.52/1.72 (~trans(s99, s55)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[8380, 9272, 9348])).
% 1.52/1.72 tff(9441,plain,
% 1.52/1.72 (~trans(s99, s32)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6362, 9272, 9315])).
% 1.52/1.72 tff(9442,plain,
% 1.52/1.72 (~trans(s99, s14)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6261, 9272, 9367])).
% 1.52/1.72 tff(9443,plain,
% 1.52/1.72 (~trans(s99, s57)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[8393, 9272, 9346])).
% 1.52/1.72 tff(9444,plain,
% 1.52/1.72 (~trans(s99, s17)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6384, 9272, 9364])).
% 1.52/1.72 tff(9445,plain,
% 1.52/1.72 (~trans(s99, s60)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[8405, 9272, 9343])).
% 1.52/1.72 tff(9446,plain,
% 1.52/1.72 (~trans(s99, s7)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6395, 9272, 9415])).
% 1.52/1.72 tff(9447,plain,
% 1.52/1.72 (~trans(s99, s59)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[8417, 9272, 9344])).
% 1.52/1.72 tff(9448,plain,
% 1.52/1.72 (~trans(s99, s1)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6406, 9272, 9421])).
% 1.52/1.72 tff(9449,plain,
% 1.52/1.72 (~always3(s79)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[943, 9380])).
% 1.52/1.72 tff(9450,plain,
% 1.52/1.72 (~always3(s78)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[972, 9449])).
% 1.52/1.72 tff(9451,assumption,(~always3(s78)), introduced(assumption)).
% 1.52/1.72 tff(9452,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s78) | (~trans(s99, s78)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s78) | (~trans(s99, s78)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9453,plain,
% 1.52/1.72 (((~trans(s99, s78)) | (~always3(s99)) | always3(s78)) <=> ((~always3(s99)) | always3(s78) | (~trans(s99, s78)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9454,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s78)) | (~always3(s99)) | always3(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s78) | (~trans(s99, s78))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[9453])).
% 1.52/1.72 tff(9455,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s78)) | (~always3(s99)) | always3(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s78) | (~trans(s99, s78)))),
% 1.52/1.72 inference(transitivity,[status(thm)],[9454, 9452])).
% 1.52/1.72 tff(9456,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s78)) | (~always3(s99)) | always3(s78))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(9457,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s78) | (~trans(s99, s78))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[9456, 9455])).
% 1.52/1.72 tff(9458,plain,
% 1.52/1.72 ($false),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9457, 5366, 50, 5934, 9451])).
% 1.52/1.72 tff(9459,plain,((~trans(s99, s78)) | (~always3(s99)) | always3(s78)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.72 tff(9460,plain,
% 1.52/1.72 (~trans(s99, s78)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9459, 9272, 9450])).
% 1.52/1.72 tff(9461,plain,
% 1.52/1.72 (~trans(s99, s29)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6417, 9272, 9318])).
% 1.52/1.72 tff(9462,plain,
% 1.52/1.72 (~always3(s42)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[114, 9360])).
% 1.52/1.72 tff(9463,plain,
% 1.52/1.72 (~always3(s41)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[126, 9462])).
% 1.52/1.72 tff(9464,plain,
% 1.52/1.72 (~always3(s40)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[138, 9463])).
% 1.52/1.72 tff(9465,plain,
% 1.52/1.72 (~trans(s99, s40)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6428, 9272, 9464])).
% 1.52/1.72 tff(9466,plain,
% 1.52/1.72 (~trans(s99, s16)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[6373, 9272, 9365])).
% 1.52/1.72 tff(9467,plain,
% 1.52/1.72 (~trans(s99, s70)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[8841, 9272, 9332])).
% 1.52/1.72 tff(9468,plain,
% 1.52/1.72 (~trans(s99, s52)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[8369, 9272, 9351])).
% 1.52/1.72 tff(9469,assumption,(~always3(s83)), introduced(assumption)).
% 1.52/1.72 tff(9470,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s83) | (~trans(s99, s83)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s83) | (~trans(s99, s83)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9471,plain,
% 1.52/1.72 (((~trans(s99, s83)) | (~always3(s99)) | always3(s83)) <=> ((~always3(s99)) | always3(s83) | (~trans(s99, s83)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9472,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s83)) | (~always3(s99)) | always3(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s83) | (~trans(s99, s83))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[9471])).
% 1.52/1.72 tff(9473,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s83)) | (~always3(s99)) | always3(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s83) | (~trans(s99, s83)))),
% 1.52/1.72 inference(transitivity,[status(thm)],[9472, 9470])).
% 1.52/1.72 tff(9474,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s83)) | (~always3(s99)) | always3(s83))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(9475,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s83) | (~trans(s99, s83))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[9474, 9473])).
% 1.52/1.72 tff(9476,plain,
% 1.52/1.72 ($false),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9475, 5564, 50, 5934, 9469])).
% 1.52/1.72 tff(9477,plain,((~trans(s99, s83)) | (~always3(s99)) | always3(s83)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.72 tff(9478,plain,
% 1.52/1.72 (~trans(s99, s83)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9477, 9272, 9377])).
% 1.52/1.72 tff(9479,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s95) | (~trans(s99, s95)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s95) | (~trans(s99, s95)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9480,plain,
% 1.52/1.72 (((~trans(s99, s95)) | (~always3(s99)) | always3(s95)) <=> ((~always3(s99)) | always3(s95) | (~trans(s99, s95)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9481,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s95)) | (~always3(s99)) | always3(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s95) | (~trans(s99, s95))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[9480])).
% 1.52/1.72 tff(9482,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s95)) | (~always3(s99)) | always3(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s95) | (~trans(s99, s95)))),
% 1.52/1.72 inference(transitivity,[status(thm)],[9481, 9479])).
% 1.52/1.72 tff(9483,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s95)) | (~always3(s99)) | always3(s95))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(9484,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s95) | (~trans(s99, s95))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[9483, 9482])).
% 1.52/1.72 tff(9485,plain,
% 1.52/1.72 ($false),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9484, 4891, 50, 5934, 9070])).
% 1.52/1.72 tff(9486,plain,((~trans(s99, s95)) | (~always3(s99)) | always3(s95)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.72 tff(9487,plain,
% 1.52/1.72 (~trans(s99, s95)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9486, 9269, 9272])).
% 1.52/1.72 tff(9488,assumption,(~always3(s94)), introduced(assumption)).
% 1.52/1.72 tff(9489,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s94) | (~trans(s99, s94)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s94) | (~trans(s99, s94)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9490,plain,
% 1.52/1.72 (((~trans(s99, s94)) | (~always3(s99)) | always3(s94)) <=> ((~always3(s99)) | always3(s94) | (~trans(s99, s94)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9491,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s94)) | (~always3(s99)) | always3(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s94) | (~trans(s99, s94))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[9490])).
% 1.52/1.72 tff(9492,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s94)) | (~always3(s99)) | always3(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s94) | (~trans(s99, s94)))),
% 1.52/1.72 inference(transitivity,[status(thm)],[9491, 9489])).
% 1.52/1.72 tff(9493,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s94)) | (~always3(s99)) | always3(s94))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(9494,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s94) | (~trans(s99, s94))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[9493, 9492])).
% 1.52/1.72 tff(9495,plain,
% 1.52/1.72 ($false),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9494, 5590, 50, 5934, 9488])).
% 1.52/1.72 tff(9496,plain,((~trans(s99, s94)) | (~always3(s99)) | always3(s94)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.72 tff(9497,plain,
% 1.52/1.72 (~trans(s99, s94)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9496, 9270, 9272])).
% 1.52/1.72 tff(9498,assumption,(~always3(s93)), introduced(assumption)).
% 1.52/1.72 tff(9499,assumption,(~trans(s99, s69)), introduced(assumption)).
% 1.52/1.72 tff(9500,assumption,(~trans(s99, s94)), introduced(assumption)).
% 1.52/1.72 tff(9501,assumption,(~trans(s99, s62)), introduced(assumption)).
% 1.52/1.72 tff(9502,assumption,(~trans(s99, s56)), introduced(assumption)).
% 1.52/1.72 tff(9503,assumption,(~trans(s99, s50)), introduced(assumption)).
% 1.52/1.72 tff(9504,assumption,(~trans(s99, s80)), introduced(assumption)).
% 1.52/1.72 tff(9505,assumption,(~trans(s99, s96)), introduced(assumption)).
% 1.52/1.72 tff(9506,assumption,(~trans(s99, s65)), introduced(assumption)).
% 1.52/1.72 tff(9507,assumption,(~trans(s99, s51)), introduced(assumption)).
% 1.52/1.72 tff(9508,assumption,(~trans(s99, s68)), introduced(assumption)).
% 1.52/1.72 tff(9509,assumption,(~trans(s99, s81)), introduced(assumption)).
% 1.52/1.72 tff(9510,assumption,(~trans(s99, s71)), introduced(assumption)).
% 1.52/1.72 tff(9511,assumption,(~trans(s99, s66)), introduced(assumption)).
% 1.52/1.72 tff(9512,assumption,(~trans(s99, s90)), introduced(assumption)).
% 1.52/1.72 tff(9513,assumption,(~trans(s99, s55)), introduced(assumption)).
% 1.52/1.72 tff(9514,assumption,(~trans(s99, s97)), introduced(assumption)).
% 1.52/1.72 tff(9515,assumption,(~trans(s99, s57)), introduced(assumption)).
% 1.52/1.72 tff(9516,assumption,(~trans(s99, s60)), introduced(assumption)).
% 1.52/1.72 tff(9517,assumption,(~trans(s99, s59)), introduced(assumption)).
% 1.52/1.72 tff(9518,assumption,(~trans(s99, s78)), introduced(assumption)).
% 1.52/1.72 tff(9519,assumption,(~trans(s99, s70)), introduced(assumption)).
% 1.52/1.72 tff(9520,assumption,(~trans(s99, s52)), introduced(assumption)).
% 1.52/1.72 tff(9521,assumption,(~trans(s99, s83)), introduced(assumption)).
% 1.52/1.72 tff(9522,assumption,(~trans(s99, s95)), introduced(assumption)).
% 1.52/1.72 tff(9523,plain,
% 1.52/1.72 (xuntil6(s97)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9242, 9202, 9183])).
% 1.52/1.72 tff(9524,plain,
% 1.52/1.72 (until5(s98)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[2919, 9523])).
% 1.52/1.72 tff(9525,plain,
% 1.52/1.72 (xuntil6(s98)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9179, 9524, 2896])).
% 1.52/1.72 tff(9526,plain,
% 1.52/1.72 (until5(s99)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[3023, 9525])).
% 1.52/1.72 tff(9527,plain,
% 1.52/1.72 (node4(s99)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[3018, 9526, 3001])).
% 1.52/1.72 tff(9528,plain,
% 1.52/1.72 (always3(s99)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[3007, 9527])).
% 1.52/1.72 tff(9529,plain,
% 1.52/1.72 (~trans(s99, s15)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[5942, 9528, 9366])).
% 1.52/1.72 tff(9530,plain,
% 1.52/1.72 (~trans(s99, s88)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9052, 9528, 8970])).
% 1.52/1.72 tff(9531,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s91) | (~trans(s99, s91)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s91) | (~trans(s99, s91)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9532,plain,
% 1.52/1.72 (((~trans(s99, s91)) | (~always3(s99)) | always3(s91)) <=> ((~always3(s99)) | always3(s91) | (~trans(s99, s91)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9533,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s91)) | (~always3(s99)) | always3(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s91) | (~trans(s99, s91))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[9532])).
% 1.52/1.72 tff(9534,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s91)) | (~always3(s99)) | always3(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s91) | (~trans(s99, s91)))),
% 1.52/1.72 inference(transitivity,[status(thm)],[9533, 9531])).
% 1.52/1.72 tff(9535,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s91)) | (~always3(s99)) | always3(s91))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(9536,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s91) | (~trans(s99, s91))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[9535, 9534])).
% 1.52/1.72 tff(9537,plain,
% 1.52/1.72 ($false),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9536, 4327, 50, 5934, 9257])).
% 1.52/1.72 tff(9538,plain,((~trans(s99, s91)) | (~always3(s99)) | always3(s91)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.72 tff(9539,plain,
% 1.52/1.72 (~trans(s99, s91)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9538, 9528, 9257])).
% 1.52/1.72 tff(9540,plain,
% 1.52/1.72 (~always3(s39)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[150, 9464])).
% 1.52/1.72 tff(9541,plain,
% 1.52/1.72 (~trans(s99, s39)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[5963, 9528, 9540])).
% 1.52/1.72 tff(9542,plain,
% 1.52/1.72 (m_main_v_request(s99)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9251, 3141, 9527])).
% 1.52/1.72 tff(9543,plain,
% 1.52/1.72 (~m_main_v_state(s99, c_busy)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9063, 3154, 9528])).
% 1.52/1.72 tff(9544,assumption,(node2(s99, s99)), introduced(assumption)).
% 1.52/1.72 tff(9545,assumption,(~m_main_v_state(s99, c_busy)), introduced(assumption)).
% 1.52/1.72 tff(9546,plain,
% 1.52/1.72 (m_main_v_state(s99, c_ready)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9067, 19, 9545])).
% 1.52/1.72 tff(9547,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s99, c_busy) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s99)) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s99, c_busy) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s99)) | (~m_main_v_request(s99)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9548,plain,
% 1.52/1.72 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s99, c_busy) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s99)) | (~m_main_v_request(s99)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9549,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s99, c_busy) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s99)) | (~m_main_v_request(s99))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[9548])).
% 1.52/1.72 tff(9550,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s99, c_busy) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s99)) | (~m_main_v_request(s99)))),
% 1.52/1.72 inference(transitivity,[status(thm)],[9549, 9547])).
% 1.52/1.72 tff(9551,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s99)))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(9552,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s99, c_busy) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s99)) | (~m_main_v_request(s99))),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[9551, 9550])).
% 1.52/1.72 tff(9553,plain,
% 1.52/1.72 ($false),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9552, 3175, 9545, 9546, 9290, 9544])).
% 1.52/1.72 tff(9554,plain,((~node2(s99, s99)) | m_main_v_state(s99, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.72 tff(9555,plain,
% 1.52/1.72 (~node2(s99, s99)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9554, 9543, 9542])).
% 1.52/1.72 tff(9556,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s99)) | node2(s99, s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s99)) | node2(s99, s99))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9557,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s99)) | node2(s99, s99))),
% 1.52/1.72 inference(quant_inst,[status(thm)],[])).
% 1.52/1.72 tff(9558,plain,
% 1.52/1.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s99)) | node2(s99, s99)),
% 1.52/1.72 inference(modus_ponens,[status(thm)],[9557, 9556])).
% 1.52/1.72 tff(9559,plain,
% 1.52/1.72 (~trans(s99, s99)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[9558, 7, 9555])).
% 1.52/1.72 tff(9560,plain,
% 1.52/1.72 (~trans(s99, s48)),
% 1.52/1.72 inference(unit_resolution,[status(thm)],[5952, 9528, 9355])).
% 1.52/1.72 tff(9561,assumption,(~always3(s84)), introduced(assumption)).
% 1.52/1.72 tff(9562,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s84) | (~trans(s99, s84)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s84) | (~trans(s99, s84)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9563,plain,
% 1.52/1.72 (((~trans(s99, s84)) | (~always3(s99)) | always3(s84)) <=> ((~always3(s99)) | always3(s84) | (~trans(s99, s84)))),
% 1.52/1.72 inference(rewrite,[status(thm)],[])).
% 1.52/1.72 tff(9564,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s84)) | (~always3(s99)) | always3(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s84) | (~trans(s99, s84))))),
% 1.52/1.72 inference(monotonicity,[status(thm)],[9563])).
% 1.52/1.72 tff(9565,plain,
% 1.52/1.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s84)) | (~always3(s99)) | always3(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s84) | (~trans(s99, s84)))),
% 1.52/1.73 inference(transitivity,[status(thm)],[9564, 9562])).
% 1.52/1.73 tff(9566,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s84)) | (~always3(s99)) | always3(s84))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(9567,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s84) | (~trans(s99, s84))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[9566, 9565])).
% 1.52/1.73 tff(9568,plain,
% 1.52/1.73 ($false),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9567, 4371, 50, 5934, 9561])).
% 1.52/1.73 tff(9569,plain,((~trans(s99, s84)) | (~always3(s99)) | always3(s84)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.73 tff(9570,plain,
% 1.52/1.73 (~trans(s99, s84)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9569, 9528, 9376])).
% 1.52/1.73 tff(9571,plain,
% 1.52/1.73 (~trans(s99, s41)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[5974, 9528, 9463])).
% 1.52/1.73 tff(9572,plain,
% 1.52/1.73 (~trans(s99, s54)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[8257, 9528, 9349])).
% 1.52/1.73 tff(9573,plain,
% 1.52/1.73 (~trans(s99, s19)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[5985, 9528, 9362])).
% 1.52/1.73 tff(9574,plain,
% 1.52/1.73 (~trans(s99, s67)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[8659, 9528, 9336])).
% 1.52/1.73 tff(9575,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s85) | (~trans(s99, s85)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s85) | (~trans(s99, s85)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9576,plain,
% 1.52/1.73 (((~trans(s99, s85)) | (~always3(s99)) | always3(s85)) <=> ((~always3(s99)) | always3(s85) | (~trans(s99, s85)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9577,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s85)) | (~always3(s99)) | always3(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s85) | (~trans(s99, s85))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[9576])).
% 1.52/1.73 tff(9578,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s85)) | (~always3(s99)) | always3(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s85) | (~trans(s99, s85)))),
% 1.52/1.73 inference(transitivity,[status(thm)],[9577, 9575])).
% 1.52/1.73 tff(9579,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s85)) | (~always3(s99)) | always3(s85))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(9580,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s85) | (~trans(s99, s85))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[9579, 9578])).
% 1.52/1.73 tff(9581,plain,
% 1.52/1.73 ($false),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9580, 4426, 50, 5934, 9256])).
% 1.52/1.73 tff(9582,plain,((~trans(s99, s85)) | (~always3(s99)) | always3(s85)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.73 tff(9583,plain,
% 1.52/1.73 (~trans(s99, s85)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9582, 9528, 9256])).
% 1.52/1.73 tff(9584,plain,
% 1.52/1.73 (~trans(s99, s61)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[8269, 9528, 9342])).
% 1.52/1.73 tff(9585,plain,
% 1.52/1.73 (~trans(s99, s9)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6130, 9528, 9399])).
% 1.52/1.73 tff(9586,plain,
% 1.52/1.73 (~trans(s99, s44)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[5996, 9528, 9359])).
% 1.52/1.73 tff(9587,plain,
% 1.52/1.73 (~trans(s99, s38)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6007, 9528, 5999])).
% 1.52/1.73 tff(9588,plain,
% 1.52/1.73 (~trans(s99, s2)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6031, 9528, 9420])).
% 1.52/1.73 tff(9589,plain,
% 1.52/1.73 (~trans(s99, s4)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6042, 9528, 9418])).
% 1.52/1.73 tff(9590,plain,
% 1.52/1.73 (~trans(s99, s37)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6053, 9528, 6045])).
% 1.52/1.73 tff(9591,plain,
% 1.52/1.73 (~always3(s77)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1001, 9450])).
% 1.52/1.73 tff(9592,plain,
% 1.52/1.73 (~always3(s76)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1030, 9591])).
% 1.52/1.73 tff(9593,plain,
% 1.52/1.73 (~trans(s99, s76)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[8698, 9528, 9592])).
% 1.52/1.73 tff(9594,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s77) | (~trans(s99, s77)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s77) | (~trans(s99, s77)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9595,plain,
% 1.52/1.73 (((~trans(s99, s77)) | (~always3(s99)) | always3(s77)) <=> ((~always3(s99)) | always3(s77) | (~trans(s99, s77)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9596,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s77)) | (~always3(s99)) | always3(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s77) | (~trans(s99, s77))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[9595])).
% 1.52/1.73 tff(9597,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s77)) | (~always3(s99)) | always3(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s77) | (~trans(s99, s77)))),
% 1.52/1.73 inference(transitivity,[status(thm)],[9596, 9594])).
% 1.52/1.73 tff(9598,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s77)) | (~always3(s99)) | always3(s77))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(9599,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s77) | (~trans(s99, s77))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[9598, 9597])).
% 1.52/1.73 tff(9600,plain,
% 1.52/1.73 ($false),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9599, 4715, 50, 5934, 8917])).
% 1.52/1.73 tff(9601,plain,((~trans(s99, s77)) | (~always3(s99)) | always3(s77)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.73 tff(9602,plain,
% 1.52/1.73 (~trans(s99, s77)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9601, 9528, 9591])).
% 1.52/1.73 tff(9603,plain,
% 1.52/1.73 (~trans(s99, s13)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6064, 9528, 9368])).
% 1.52/1.73 tff(9604,plain,
% 1.52/1.73 (~trans(s99, s42)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6075, 9528, 9462])).
% 1.52/1.73 tff(9605,plain,
% 1.52/1.73 (~trans(s99, s47)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6086, 9528, 9356])).
% 1.52/1.73 tff(9606,plain,
% 1.52/1.73 (~trans(s99, s25)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6097, 9528, 9322])).
% 1.52/1.73 tff(9607,plain,
% 1.52/1.73 (~trans(s99, s73)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[8713, 9528, 9329])).
% 1.52/1.73 tff(9608,plain,
% 1.52/1.73 (~trans(s99, s53)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[8291, 9528, 9350])).
% 1.52/1.73 tff(9609,plain,
% 1.52/1.73 (~trans(s99, s22)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6108, 9528, 9325])).
% 1.52/1.73 tff(9610,plain,
% 1.52/1.73 (~trans(s99, s28)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6119, 9528, 9319])).
% 1.52/1.73 tff(9611,assumption,(~always3(s82)), introduced(assumption)).
% 1.52/1.73 tff(9612,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s82) | (~trans(s99, s82)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s82) | (~trans(s99, s82)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9613,plain,
% 1.52/1.73 (((~trans(s99, s82)) | (~always3(s99)) | always3(s82)) <=> ((~always3(s99)) | always3(s82) | (~trans(s99, s82)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9614,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s82)) | (~always3(s99)) | always3(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s82) | (~trans(s99, s82))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[9613])).
% 1.52/1.73 tff(9615,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s82)) | (~always3(s99)) | always3(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s82) | (~trans(s99, s82)))),
% 1.52/1.73 inference(transitivity,[status(thm)],[9614, 9612])).
% 1.52/1.73 tff(9616,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s82)) | (~always3(s99)) | always3(s82))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(9617,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s82) | (~trans(s99, s82))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[9616, 9615])).
% 1.52/1.73 tff(9618,plain,
% 1.52/1.73 ($false),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9617, 4814, 50, 5934, 9611])).
% 1.52/1.73 tff(9619,plain,((~trans(s99, s82)) | (~always3(s99)) | always3(s82)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.73 tff(9620,plain,
% 1.52/1.73 (~trans(s99, s82)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9619, 9528, 9378])).
% 1.52/1.73 tff(9621,plain,
% 1.52/1.73 (~trans(s99, s34)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6140, 9528, 9313])).
% 1.52/1.73 tff(9622,plain,
% 1.52/1.73 (~always3(s89)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[563, 9430])).
% 1.52/1.73 tff(9623,assumption,(~always3(s89)), introduced(assumption)).
% 1.52/1.73 tff(9624,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s89) | (~trans(s99, s89)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s89) | (~trans(s99, s89)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9625,plain,
% 1.52/1.73 (((~trans(s99, s89)) | (~always3(s99)) | always3(s89)) <=> ((~always3(s99)) | always3(s89) | (~trans(s99, s89)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9626,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s89)) | (~always3(s99)) | always3(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s89) | (~trans(s99, s89))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[9625])).
% 1.52/1.73 tff(9627,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s89)) | (~always3(s99)) | always3(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s89) | (~trans(s99, s89)))),
% 1.52/1.73 inference(transitivity,[status(thm)],[9626, 9624])).
% 1.52/1.73 tff(9628,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s89)) | (~always3(s99)) | always3(s89))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(9629,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s89) | (~trans(s99, s89))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[9628, 9627])).
% 1.52/1.73 tff(9630,plain,
% 1.52/1.73 ($false),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9629, 4836, 50, 5934, 9623])).
% 1.52/1.73 tff(9631,plain,((~trans(s99, s89)) | (~always3(s99)) | always3(s89)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.73 tff(9632,plain,
% 1.52/1.73 (~trans(s99, s89)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9631, 9528, 9622])).
% 1.52/1.73 tff(9633,plain,
% 1.52/1.73 (~trans(s99, s11)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6151, 9528, 9370])).
% 1.52/1.73 tff(9634,plain,
% 1.52/1.73 (~trans(s99, s5)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6162, 9528, 9417])).
% 1.52/1.73 tff(9635,plain,
% 1.52/1.73 (~trans(s99, s36)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6184, 9528, 8007])).
% 1.52/1.73 tff(9636,plain,
% 1.52/1.73 (~trans(s99, s72)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[8786, 9528, 9330])).
% 1.52/1.73 tff(9637,plain,
% 1.52/1.73 (~trans(s99, s49)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[8439, 9528, 9354])).
% 1.52/1.73 tff(9638,plain,
% 1.52/1.73 (~trans(s99, s21)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6439, 9528, 9326])).
% 1.52/1.73 tff(9639,plain,
% 1.52/1.73 (~trans(s99, s63)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[8854, 9528, 9340])).
% 1.52/1.73 tff(9640,plain,
% 1.52/1.73 (~trans(s99, s64)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[8865, 9528, 9339])).
% 1.52/1.73 tff(9641,plain,
% 1.52/1.73 (~trans(s99, s31)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6450, 9528, 9316])).
% 1.52/1.73 tff(9642,assumption,(~always3(s79)), introduced(assumption)).
% 1.52/1.73 tff(9643,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s79) | (~trans(s99, s79)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s79) | (~trans(s99, s79)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9644,plain,
% 1.52/1.73 (((~trans(s99, s79)) | (~always3(s99)) | always3(s79)) <=> ((~always3(s99)) | always3(s79) | (~trans(s99, s79)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9645,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s79)) | (~always3(s99)) | always3(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s79) | (~trans(s99, s79))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[9644])).
% 1.52/1.73 tff(9646,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s79)) | (~always3(s99)) | always3(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s79) | (~trans(s99, s79)))),
% 1.52/1.73 inference(transitivity,[status(thm)],[9645, 9643])).
% 1.52/1.73 tff(9647,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s79)) | (~always3(s99)) | always3(s79))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(9648,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s79) | (~trans(s99, s79))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[9647, 9646])).
% 1.52/1.73 tff(9649,plain,
% 1.52/1.73 ($false),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9648, 5476, 50, 5934, 9642])).
% 1.52/1.73 tff(9650,plain,((~trans(s99, s79)) | (~always3(s99)) | always3(s79)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.73 tff(9651,plain,
% 1.52/1.73 (~trans(s99, s79)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9650, 9528, 9449])).
% 1.52/1.73 tff(9652,plain,
% 1.52/1.73 (~trans(s99, s6)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6472, 9528, 9416])).
% 1.52/1.73 tff(9653,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s93) | (~trans(s99, s93)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s93) | (~trans(s99, s93)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9654,plain,
% 1.52/1.73 (((~trans(s99, s93)) | (~always3(s99)) | always3(s93)) <=> ((~always3(s99)) | always3(s93) | (~trans(s99, s93)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9655,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s93)) | (~always3(s99)) | always3(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s93) | (~trans(s99, s93))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[9654])).
% 1.52/1.73 tff(9656,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s93)) | (~always3(s99)) | always3(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s93) | (~trans(s99, s93)))),
% 1.52/1.73 inference(transitivity,[status(thm)],[9655, 9653])).
% 1.52/1.73 tff(9657,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s93)) | (~always3(s99)) | always3(s93))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(9658,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s93) | (~trans(s99, s93))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[9657, 9656])).
% 1.52/1.73 tff(9659,plain,
% 1.52/1.73 ($false),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9658, 5612, 50, 5934, 9498])).
% 1.52/1.73 tff(9660,plain,((~trans(s99, s93)) | (~always3(s99)) | always3(s93)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.73 tff(9661,plain,
% 1.52/1.73 (~trans(s99, s93)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9660, 9528, 9498])).
% 1.52/1.73 tff(9662,assumption,(~always3(s86)), introduced(assumption)).
% 1.52/1.73 tff(9663,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s86) | (~trans(s99, s86)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s86) | (~trans(s99, s86)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9664,plain,
% 1.52/1.73 (((~trans(s99, s86)) | (~always3(s99)) | always3(s86)) <=> ((~always3(s99)) | always3(s86) | (~trans(s99, s86)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9665,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s86)) | (~always3(s99)) | always3(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s86) | (~trans(s99, s86))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[9664])).
% 1.52/1.73 tff(9666,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s86)) | (~always3(s99)) | always3(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s86) | (~trans(s99, s86)))),
% 1.52/1.73 inference(transitivity,[status(thm)],[9665, 9663])).
% 1.52/1.73 tff(9667,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s86)) | (~always3(s99)) | always3(s86))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(9668,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s86) | (~trans(s99, s86))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[9667, 9666])).
% 1.52/1.73 tff(9669,plain,
% 1.52/1.73 ($false),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9668, 5498, 50, 5934, 9662])).
% 1.52/1.73 tff(9670,plain,((~trans(s99, s86)) | (~always3(s99)) | always3(s86)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.73 tff(9671,plain,
% 1.52/1.73 (~trans(s99, s86)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9670, 9528, 732])).
% 1.52/1.73 tff(9672,plain,
% 1.52/1.73 (~trans(s99, s46)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6483, 9528, 9357])).
% 1.52/1.73 tff(9673,plain,
% 1.52/1.73 (~trans(s99, s33)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[6461, 9528, 9314])).
% 1.52/1.73 tff(9674,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s87) | (~trans(s99, s87)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s87) | (~trans(s99, s87)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9675,plain,
% 1.52/1.73 (((~trans(s99, s87)) | (~always3(s99)) | always3(s87)) <=> ((~always3(s99)) | always3(s87) | (~trans(s99, s87)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9676,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s87)) | (~always3(s99)) | always3(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s87) | (~trans(s99, s87))))),
% 1.52/1.73 inference(monotonicity,[status(thm)],[9675])).
% 1.52/1.73 tff(9677,plain,
% 1.52/1.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s87)) | (~always3(s99)) | always3(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s87) | (~trans(s99, s87)))),
% 1.52/1.73 inference(transitivity,[status(thm)],[9676, 9674])).
% 1.52/1.73 tff(9678,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s87)) | (~always3(s99)) | always3(s87))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(9679,plain,
% 1.52/1.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s87) | (~trans(s99, s87))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[9678, 9677])).
% 1.52/1.73 tff(9680,plain,
% 1.52/1.73 ($false),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9679, 5542, 50, 5934, 707])).
% 1.52/1.73 tff(9681,plain,((~trans(s99, s87)) | (~always3(s99)) | always3(s87)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.73 tff(9682,plain,
% 1.52/1.73 (~trans(s99, s87)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9681, 9528, 707])).
% 1.52/1.73 tff(9683,plain,
% 1.52/1.73 (~node4(s84)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[802, 595, 9376])).
% 1.52/1.73 tff(9684,plain,
% 1.52/1.73 (~node4(s85)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[773, 595, 9256])).
% 1.52/1.73 tff(9685,assumption,(~xuntil6(s85)), introduced(assumption)).
% 1.52/1.73 tff(9686,plain,
% 1.52/1.73 (node4(s85) | (~until5(s85))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[780, 614, 9685])).
% 1.52/1.73 tff(9687,plain,
% 1.52/1.73 (~until5(s85)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9686, 9684])).
% 1.52/1.73 tff(9688,plain,
% 1.52/1.73 (~xuntil6(s84)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[789, 9687])).
% 1.52/1.73 tff(9689,plain,
% 1.52/1.73 (~until5(s84)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[809, 614, 9688, 9683])).
% 1.52/1.73 tff(9690,plain,
% 1.52/1.73 (~xuntil6(s83)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[818, 9689])).
% 1.52/1.73 tff(9691,plain,
% 1.52/1.73 (~node4(s83)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[831, 595, 9377])).
% 1.52/1.73 tff(9692,plain,
% 1.52/1.73 (xuntil6(s83) | (~until5(s83))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[838, 614, 9691])).
% 1.52/1.73 tff(9693,plain,
% 1.52/1.73 (~until5(s83)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9692, 9690])).
% 1.52/1.73 tff(9694,plain,
% 1.52/1.73 (~xuntil6(s82)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[847, 9693])).
% 1.52/1.73 tff(9695,plain,
% 1.52/1.73 (~node4(s82)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[860, 595, 9378])).
% 1.52/1.73 tff(9696,plain,
% 1.52/1.73 (xuntil6(s82) | (~until5(s82))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[867, 614, 9695])).
% 1.52/1.73 tff(9697,plain,
% 1.52/1.73 (~until5(s82)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9696, 9694])).
% 1.52/1.73 tff(9698,plain,
% 1.52/1.73 (~xuntil6(s81)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[876, 9697])).
% 1.52/1.73 tff(9699,plain,
% 1.52/1.73 (~node4(s81)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[889, 595, 9379])).
% 1.52/1.73 tff(9700,plain,
% 1.52/1.73 (xuntil6(s81) | (~until5(s81))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[896, 614, 9699])).
% 1.52/1.73 tff(9701,plain,
% 1.52/1.73 (~until5(s81)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9700, 9698])).
% 1.52/1.73 tff(9702,plain,
% 1.52/1.73 (~xuntil6(s80)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[905, 9701])).
% 1.52/1.73 tff(9703,plain,
% 1.52/1.73 (~node4(s80)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[918, 595, 9380])).
% 1.52/1.73 tff(9704,plain,
% 1.52/1.73 (xuntil6(s80) | (~until5(s80))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[925, 614, 9703])).
% 1.52/1.73 tff(9705,plain,
% 1.52/1.73 (~until5(s80)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9704, 9702])).
% 1.52/1.73 tff(9706,plain,
% 1.52/1.73 (~xuntil6(s79)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[934, 9705])).
% 1.52/1.73 tff(9707,plain,
% 1.52/1.73 (~node4(s79)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[947, 595, 9449])).
% 1.52/1.73 tff(9708,plain,
% 1.52/1.73 (xuntil6(s79) | (~until5(s79))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[954, 614, 9707])).
% 1.52/1.73 tff(9709,plain,
% 1.52/1.73 (~until5(s79)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9708, 9706])).
% 1.52/1.73 tff(9710,plain,
% 1.52/1.73 (~xuntil6(s78)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[963, 9709])).
% 1.52/1.73 tff(9711,plain,
% 1.52/1.73 (~node4(s78)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[976, 595, 9450])).
% 1.52/1.73 tff(9712,plain,
% 1.52/1.73 (xuntil6(s78) | (~until5(s78))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[983, 614, 9711])).
% 1.52/1.73 tff(9713,plain,
% 1.52/1.73 (~until5(s78)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9712, 9710])).
% 1.52/1.73 tff(9714,plain,
% 1.52/1.73 (~xuntil6(s77)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[992, 9713])).
% 1.52/1.73 tff(9715,plain,
% 1.52/1.73 (~node4(s77)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1005, 595, 9591])).
% 1.52/1.73 tff(9716,plain,
% 1.52/1.73 (xuntil6(s77) | (~until5(s77))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1012, 614, 9715])).
% 1.52/1.73 tff(9717,plain,
% 1.52/1.73 (~until5(s77)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9716, 9714])).
% 1.52/1.73 tff(9718,plain,
% 1.52/1.73 (~xuntil6(s76)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1021, 9717])).
% 1.52/1.73 tff(9719,plain,
% 1.52/1.73 (~node4(s76)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1034, 595, 9592])).
% 1.52/1.73 tff(9720,plain,
% 1.52/1.73 (xuntil6(s76) | (~until5(s76))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1041, 614, 9719])).
% 1.52/1.73 tff(9721,plain,
% 1.52/1.73 (~until5(s76)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9720, 9718])).
% 1.52/1.73 tff(9722,plain,
% 1.52/1.73 (~xuntil6(s75)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1050, 9721])).
% 1.52/1.73 tff(9723,plain,
% 1.52/1.73 (~always3(s75)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1059, 9592])).
% 1.52/1.73 tff(9724,plain,
% 1.52/1.73 (~node4(s75)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1063, 595, 9723])).
% 1.52/1.73 tff(9725,plain,
% 1.52/1.73 (xuntil6(s75) | (~until5(s75))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1070, 614, 9724])).
% 1.52/1.73 tff(9726,plain,
% 1.52/1.73 (~until5(s75)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9725, 9722])).
% 1.52/1.73 tff(9727,plain,
% 1.52/1.73 (~xuntil6(s74)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1079, 9726])).
% 1.52/1.73 tff(9728,plain,
% 1.52/1.73 (~always3(s74)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1088, 9723])).
% 1.52/1.73 tff(9729,plain,
% 1.52/1.73 (~node4(s74)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1092, 595, 9728])).
% 1.52/1.73 tff(9730,plain,
% 1.52/1.73 (xuntil6(s74) | (~until5(s74))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1099, 614, 9729])).
% 1.52/1.73 tff(9731,plain,
% 1.52/1.73 (~until5(s74)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9730, 9727])).
% 1.52/1.73 tff(9732,plain,
% 1.52/1.73 (~xuntil6(s73)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1108, 9731])).
% 1.52/1.73 tff(9733,plain,
% 1.52/1.73 (~always3(s73)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1117, 9728])).
% 1.52/1.73 tff(9734,plain,
% 1.52/1.73 (~node4(s73)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1121, 595, 9733])).
% 1.52/1.73 tff(9735,plain,
% 1.52/1.73 (xuntil6(s73) | (~until5(s73))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1128, 614, 9734])).
% 1.52/1.73 tff(9736,plain,
% 1.52/1.73 (~until5(s73)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9735, 9732])).
% 1.52/1.73 tff(9737,plain,
% 1.52/1.73 (~xuntil6(s72)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1137, 9736])).
% 1.52/1.73 tff(9738,plain,
% 1.52/1.73 (~always3(s72)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1146, 9733])).
% 1.52/1.73 tff(9739,plain,
% 1.52/1.73 (~node4(s72)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1150, 595, 9738])).
% 1.52/1.73 tff(9740,plain,
% 1.52/1.73 (xuntil6(s72) | (~until5(s72))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1157, 614, 9739])).
% 1.52/1.73 tff(9741,plain,
% 1.52/1.73 (~until5(s72)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9740, 9737])).
% 1.52/1.73 tff(9742,plain,
% 1.52/1.73 (~xuntil6(s71)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1166, 9741])).
% 1.52/1.73 tff(9743,plain,
% 1.52/1.73 (~always3(s71)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1175, 9738])).
% 1.52/1.73 tff(9744,plain,
% 1.52/1.73 (~node4(s71)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1179, 595, 9743])).
% 1.52/1.73 tff(9745,plain,
% 1.52/1.73 (xuntil6(s71) | (~until5(s71))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1186, 614, 9744])).
% 1.52/1.73 tff(9746,plain,
% 1.52/1.73 (~until5(s71)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9745, 9742])).
% 1.52/1.73 tff(9747,plain,
% 1.52/1.73 (~xuntil6(s70)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1195, 9746])).
% 1.52/1.73 tff(9748,plain,
% 1.52/1.73 (~always3(s70)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1204, 9743])).
% 1.52/1.73 tff(9749,plain,
% 1.52/1.73 (~node4(s70)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1208, 595, 9748])).
% 1.52/1.73 tff(9750,plain,
% 1.52/1.73 (xuntil6(s70) | (~until5(s70))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1215, 614, 9749])).
% 1.52/1.73 tff(9751,plain,
% 1.52/1.73 (~until5(s70)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9750, 9747])).
% 1.52/1.73 tff(9752,plain,
% 1.52/1.73 (~xuntil6(s69)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1224, 9751])).
% 1.52/1.73 tff(9753,plain,
% 1.52/1.73 (~always3(s69)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1233, 9748])).
% 1.52/1.73 tff(9754,plain,
% 1.52/1.73 (~node4(s69)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1237, 595, 9753])).
% 1.52/1.73 tff(9755,plain,
% 1.52/1.73 (xuntil6(s69) | (~until5(s69))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1244, 614, 9754])).
% 1.52/1.73 tff(9756,plain,
% 1.52/1.73 (~until5(s69)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9755, 9752])).
% 1.52/1.73 tff(9757,plain,
% 1.52/1.73 (~xuntil6(s68)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1253, 9756])).
% 1.52/1.73 tff(9758,plain,
% 1.52/1.73 (~always3(s68)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1262, 9753])).
% 1.52/1.73 tff(9759,plain,
% 1.52/1.73 (~node4(s68)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1266, 595, 9758])).
% 1.52/1.73 tff(9760,plain,
% 1.52/1.73 (xuntil6(s68) | (~until5(s68))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1273, 614, 9759])).
% 1.52/1.73 tff(9761,plain,
% 1.52/1.73 (~until5(s68)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9760, 9757])).
% 1.52/1.73 tff(9762,plain,
% 1.52/1.73 (~xuntil6(s67)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1282, 9761])).
% 1.52/1.73 tff(9763,plain,
% 1.52/1.73 (~always3(s67)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1291, 9758])).
% 1.52/1.73 tff(9764,plain,
% 1.52/1.73 (~node4(s67)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1295, 595, 9763])).
% 1.52/1.73 tff(9765,plain,
% 1.52/1.73 (xuntil6(s67) | (~until5(s67))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1302, 614, 9764])).
% 1.52/1.73 tff(9766,plain,
% 1.52/1.73 (~until5(s67)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9765, 9762])).
% 1.52/1.73 tff(9767,plain,
% 1.52/1.73 (~xuntil6(s66)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1311, 9766])).
% 1.52/1.73 tff(9768,plain,
% 1.52/1.73 (~always3(s66)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1320, 9763])).
% 1.52/1.73 tff(9769,plain,
% 1.52/1.73 (~node4(s66)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1324, 595, 9768])).
% 1.52/1.73 tff(9770,plain,
% 1.52/1.73 (xuntil6(s66) | (~until5(s66))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1331, 614, 9769])).
% 1.52/1.73 tff(9771,plain,
% 1.52/1.73 (~until5(s66)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9770, 9767])).
% 1.52/1.73 tff(9772,plain,
% 1.52/1.73 (~xuntil6(s65)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1340, 9771])).
% 1.52/1.73 tff(9773,plain,
% 1.52/1.73 (~always3(s65)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1349, 9768])).
% 1.52/1.73 tff(9774,plain,
% 1.52/1.73 (~node4(s65)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1353, 595, 9773])).
% 1.52/1.73 tff(9775,plain,
% 1.52/1.73 (xuntil6(s65) | (~until5(s65))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1360, 614, 9774])).
% 1.52/1.73 tff(9776,plain,
% 1.52/1.73 (~until5(s65)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9775, 9772])).
% 1.52/1.73 tff(9777,plain,
% 1.52/1.73 (~xuntil6(s64)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1369, 9776])).
% 1.52/1.73 tff(9778,plain,
% 1.52/1.73 (~always3(s64)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1378, 9773])).
% 1.52/1.73 tff(9779,plain,
% 1.52/1.73 (~node4(s64)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1382, 595, 9778])).
% 1.52/1.73 tff(9780,plain,
% 1.52/1.73 (xuntil6(s64) | (~until5(s64))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1389, 614, 9779])).
% 1.52/1.73 tff(9781,plain,
% 1.52/1.73 (~until5(s64)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9780, 9777])).
% 1.52/1.73 tff(9782,plain,
% 1.52/1.73 (~xuntil6(s63)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1398, 9781])).
% 1.52/1.73 tff(9783,plain,
% 1.52/1.73 (~always3(s63)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1407, 9778])).
% 1.52/1.73 tff(9784,plain,
% 1.52/1.73 (~node4(s63)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1411, 595, 9783])).
% 1.52/1.73 tff(9785,plain,
% 1.52/1.73 (xuntil6(s63) | (~until5(s63))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1418, 614, 9784])).
% 1.52/1.73 tff(9786,plain,
% 1.52/1.73 (~until5(s63)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9785, 9782])).
% 1.52/1.73 tff(9787,plain,
% 1.52/1.73 (~xuntil6(s62)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2887, 9786])).
% 1.52/1.73 tff(9788,plain,
% 1.52/1.73 (~always3(s62)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1431, 9783])).
% 1.52/1.73 tff(9789,plain,
% 1.52/1.73 (~node4(s62)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2874, 595, 9788])).
% 1.52/1.73 tff(9790,plain,
% 1.52/1.73 (xuntil6(s62) | (~until5(s62))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2881, 614, 9789])).
% 1.52/1.73 tff(9791,plain,
% 1.52/1.73 (~until5(s62)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9790, 9787])).
% 1.52/1.73 tff(9792,plain,
% 1.52/1.73 (~xuntil6(s61)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2870, 9791])).
% 1.52/1.73 tff(9793,plain,
% 1.52/1.73 (~always3(s61)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1443, 9788])).
% 1.52/1.73 tff(9794,plain,
% 1.52/1.73 (~node4(s61)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2857, 595, 9793])).
% 1.52/1.73 tff(9795,plain,
% 1.52/1.73 (xuntil6(s61) | (~until5(s61))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2864, 614, 9794])).
% 1.52/1.73 tff(9796,plain,
% 1.52/1.73 (~until5(s61)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9795, 9792])).
% 1.52/1.73 tff(9797,plain,
% 1.52/1.73 (~xuntil6(s60)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2853, 9796])).
% 1.52/1.73 tff(9798,plain,
% 1.52/1.73 (~always3(s60)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1455, 9793])).
% 1.52/1.73 tff(9799,plain,
% 1.52/1.73 (~always3(s59)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1467, 9798])).
% 1.52/1.73 tff(9800,plain,
% 1.52/1.73 (~always3(s58)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1479, 9799])).
% 1.52/1.73 tff(9801,plain,
% 1.52/1.73 (~always3(s57)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1491, 9800])).
% 1.52/1.73 tff(9802,plain,
% 1.52/1.73 (~always3(s56)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1503, 9801])).
% 1.52/1.73 tff(9803,plain,
% 1.52/1.73 (~always3(s55)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1515, 9802])).
% 1.52/1.73 tff(9804,plain,
% 1.52/1.73 (~always3(s54)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1527, 9803])).
% 1.52/1.73 tff(9805,plain,
% 1.52/1.73 (~always3(s53)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1539, 9804])).
% 1.52/1.73 tff(9806,plain,
% 1.52/1.73 (~always3(s52)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1551, 9805])).
% 1.52/1.73 tff(9807,plain,
% 1.52/1.73 (~always3(s51)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1563, 9806])).
% 1.52/1.73 tff(9808,plain,
% 1.52/1.73 (~always3(s50)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1575, 9807])).
% 1.52/1.73 tff(9809,plain,
% 1.52/1.73 (~always3(s49)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1587, 9808])).
% 1.52/1.73 tff(9810,plain,
% 1.52/1.73 (~always3(s48)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1599, 9809])).
% 1.52/1.73 tff(9811,plain,
% 1.52/1.73 (~always3(s47)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[54, 9810])).
% 1.52/1.73 tff(9812,plain,
% 1.52/1.73 (~always3(s46)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[66, 9811])).
% 1.52/1.73 tff(9813,plain,
% 1.52/1.73 (~always3(s45)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[78, 9812])).
% 1.52/1.73 tff(9814,plain,
% 1.52/1.73 (~always3(s44)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[90, 9813])).
% 1.52/1.73 tff(9815,plain,
% 1.52/1.73 (~always3(s43)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[102, 9814])).
% 1.52/1.73 tff(9816,plain,
% 1.52/1.73 (~always3(s42)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[114, 9815])).
% 1.52/1.73 tff(9817,plain,
% 1.52/1.73 (~always3(s41)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[126, 9816])).
% 1.52/1.73 tff(9818,plain,
% 1.52/1.73 (~always3(s40)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[138, 9817])).
% 1.52/1.73 tff(9819,plain,
% 1.52/1.73 (~always3(s39)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[150, 9818])).
% 1.52/1.73 tff(9820,plain,
% 1.52/1.73 (~always3(s38)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[162, 9819])).
% 1.52/1.73 tff(9821,plain,
% 1.52/1.73 (~always3(s37)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[174, 9820])).
% 1.52/1.73 tff(9822,plain,
% 1.52/1.73 (~always3(s36)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[186, 9821])).
% 1.52/1.73 tff(9823,plain,
% 1.52/1.73 (~node4(s36)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1615, 595, 9822])).
% 1.52/1.73 tff(9824,plain,
% 1.52/1.73 (~always3(s35)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[198, 9822])).
% 1.52/1.73 tff(9825,plain,
% 1.52/1.73 (~node4(s35)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[1620, 595, 9824])).
% 1.52/1.73 tff(9826,plain,
% 1.52/1.73 (~always3(s34)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[210, 9824])).
% 1.52/1.73 tff(9827,plain,
% 1.52/1.73 (xuntil6(s34)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2415, 9826])).
% 1.52/1.73 tff(9828,plain,
% 1.52/1.73 (until5(s35)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2420, 9827])).
% 1.52/1.73 tff(9829,plain,
% 1.52/1.73 (xuntil6(s35) | node4(s35)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2427, 614, 9828])).
% 1.52/1.73 tff(9830,plain,
% 1.52/1.73 (xuntil6(s35)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9829, 9825])).
% 1.52/1.73 tff(9831,plain,
% 1.52/1.73 (until5(s36)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2433, 9830])).
% 1.52/1.73 tff(9832,plain,
% 1.52/1.73 (xuntil6(s36)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2440, 614, 9831, 9823])).
% 1.52/1.73 tff(9833,plain,
% 1.52/1.73 (until5(s37)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2445, 9832])).
% 1.52/1.73 tff(9834,plain,
% 1.52/1.73 (~node4(s37)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2449, 595, 9821])).
% 1.52/1.73 tff(9835,plain,
% 1.52/1.73 (xuntil6(s37) | (~until5(s37))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2456, 614, 9834])).
% 1.52/1.73 tff(9836,plain,
% 1.52/1.73 (xuntil6(s37)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9835, 9833])).
% 1.52/1.73 tff(9837,plain,
% 1.52/1.73 (until5(s38)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2462, 9836])).
% 1.52/1.73 tff(9838,plain,
% 1.52/1.73 (~node4(s38)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2466, 595, 9820])).
% 1.52/1.73 tff(9839,plain,
% 1.52/1.73 (xuntil6(s38) | (~until5(s38))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2473, 614, 9838])).
% 1.52/1.73 tff(9840,plain,
% 1.52/1.73 (xuntil6(s38)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9839, 9837])).
% 1.52/1.73 tff(9841,plain,
% 1.52/1.73 (until5(s39)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2479, 9840])).
% 1.52/1.73 tff(9842,plain,
% 1.52/1.73 (~node4(s39)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2483, 595, 9819])).
% 1.52/1.73 tff(9843,plain,
% 1.52/1.73 (xuntil6(s39) | (~until5(s39))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2490, 614, 9842])).
% 1.52/1.73 tff(9844,plain,
% 1.52/1.73 (xuntil6(s39)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9843, 9841])).
% 1.52/1.73 tff(9845,plain,
% 1.52/1.73 (until5(s40)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2496, 9844])).
% 1.52/1.73 tff(9846,plain,
% 1.52/1.73 (~node4(s40)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2500, 595, 9818])).
% 1.52/1.73 tff(9847,plain,
% 1.52/1.73 (xuntil6(s40) | (~until5(s40))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2507, 614, 9846])).
% 1.52/1.73 tff(9848,plain,
% 1.52/1.73 (xuntil6(s40)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9847, 9845])).
% 1.52/1.73 tff(9849,plain,
% 1.52/1.73 (until5(s41)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2513, 9848])).
% 1.52/1.73 tff(9850,plain,
% 1.52/1.73 (~node4(s41)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2517, 595, 9817])).
% 1.52/1.73 tff(9851,plain,
% 1.52/1.73 (xuntil6(s41) | (~until5(s41))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2524, 614, 9850])).
% 1.52/1.73 tff(9852,plain,
% 1.52/1.73 (xuntil6(s41)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9851, 9849])).
% 1.52/1.73 tff(9853,plain,
% 1.52/1.73 (until5(s42)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2530, 9852])).
% 1.52/1.73 tff(9854,plain,
% 1.52/1.73 (~node4(s42)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2534, 595, 9816])).
% 1.52/1.73 tff(9855,plain,
% 1.52/1.73 (xuntil6(s42) | (~until5(s42))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2541, 614, 9854])).
% 1.52/1.73 tff(9856,plain,
% 1.52/1.73 (xuntil6(s42)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9855, 9853])).
% 1.52/1.73 tff(9857,plain,
% 1.52/1.73 (until5(s43)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2547, 9856])).
% 1.52/1.73 tff(9858,plain,
% 1.52/1.73 (~node4(s43)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2551, 595, 9815])).
% 1.52/1.73 tff(9859,plain,
% 1.52/1.73 (xuntil6(s43) | (~until5(s43))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2558, 614, 9858])).
% 1.52/1.73 tff(9860,plain,
% 1.52/1.73 (xuntil6(s43)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9859, 9857])).
% 1.52/1.73 tff(9861,plain,
% 1.52/1.73 (until5(s44)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2564, 9860])).
% 1.52/1.73 tff(9862,plain,
% 1.52/1.73 (~node4(s44)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2568, 595, 9814])).
% 1.52/1.73 tff(9863,plain,
% 1.52/1.73 (xuntil6(s44) | (~until5(s44))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2575, 614, 9862])).
% 1.52/1.73 tff(9864,plain,
% 1.52/1.73 (xuntil6(s44)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9863, 9861])).
% 1.52/1.73 tff(9865,plain,
% 1.52/1.73 (until5(s45)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2581, 9864])).
% 1.52/1.73 tff(9866,plain,
% 1.52/1.73 (~node4(s45)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2585, 595, 9813])).
% 1.52/1.73 tff(9867,plain,
% 1.52/1.73 (xuntil6(s45) | (~until5(s45))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2592, 614, 9866])).
% 1.52/1.73 tff(9868,plain,
% 1.52/1.73 (xuntil6(s45)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9867, 9865])).
% 1.52/1.73 tff(9869,plain,
% 1.52/1.73 (until5(s46)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2598, 9868])).
% 1.52/1.73 tff(9870,plain,
% 1.52/1.73 (~node4(s46)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2602, 595, 9812])).
% 1.52/1.73 tff(9871,plain,
% 1.52/1.73 (xuntil6(s46) | (~until5(s46))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2609, 614, 9870])).
% 1.52/1.73 tff(9872,plain,
% 1.52/1.73 (xuntil6(s46)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9871, 9869])).
% 1.52/1.73 tff(9873,plain,
% 1.52/1.73 (until5(s47)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2615, 9872])).
% 1.52/1.73 tff(9874,plain,
% 1.52/1.73 (~node4(s47)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2619, 595, 9811])).
% 1.52/1.73 tff(9875,plain,
% 1.52/1.73 (xuntil6(s47) | (~until5(s47))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2626, 614, 9874])).
% 1.52/1.73 tff(9876,plain,
% 1.52/1.73 (xuntil6(s47)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9875, 9873])).
% 1.52/1.73 tff(9877,plain,
% 1.52/1.73 (until5(s48)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2632, 9876])).
% 1.52/1.73 tff(9878,plain,
% 1.52/1.73 (~node4(s48)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2636, 595, 9810])).
% 1.52/1.73 tff(9879,plain,
% 1.52/1.73 (xuntil6(s48) | (~until5(s48))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2643, 614, 9878])).
% 1.52/1.73 tff(9880,plain,
% 1.52/1.73 (xuntil6(s48)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9879, 9877])).
% 1.52/1.73 tff(9881,plain,
% 1.52/1.73 (until5(s49)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2649, 9880])).
% 1.52/1.73 tff(9882,plain,
% 1.52/1.73 (~node4(s49)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2653, 595, 9809])).
% 1.52/1.73 tff(9883,plain,
% 1.52/1.73 (xuntil6(s49) | (~until5(s49))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2660, 614, 9882])).
% 1.52/1.73 tff(9884,plain,
% 1.52/1.73 (xuntil6(s49)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9883, 9881])).
% 1.52/1.73 tff(9885,plain,
% 1.52/1.73 (until5(s50)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2666, 9884])).
% 1.52/1.73 tff(9886,plain,
% 1.52/1.73 (~node4(s50)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2670, 595, 9808])).
% 1.52/1.73 tff(9887,plain,
% 1.52/1.73 (xuntil6(s50) | (~until5(s50))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2677, 614, 9886])).
% 1.52/1.73 tff(9888,plain,
% 1.52/1.73 (xuntil6(s50)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9887, 9885])).
% 1.52/1.73 tff(9889,plain,
% 1.52/1.73 (until5(s51)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2683, 9888])).
% 1.52/1.73 tff(9890,plain,
% 1.52/1.73 (~node4(s51)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2687, 595, 9807])).
% 1.52/1.73 tff(9891,plain,
% 1.52/1.73 (xuntil6(s51) | (~until5(s51))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2694, 614, 9890])).
% 1.52/1.73 tff(9892,plain,
% 1.52/1.73 (xuntil6(s51)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9891, 9889])).
% 1.52/1.73 tff(9893,plain,
% 1.52/1.73 (until5(s52)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2700, 9892])).
% 1.52/1.73 tff(9894,plain,
% 1.52/1.73 (~node4(s52)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2704, 595, 9806])).
% 1.52/1.73 tff(9895,plain,
% 1.52/1.73 (xuntil6(s52) | (~until5(s52))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2711, 614, 9894])).
% 1.52/1.73 tff(9896,plain,
% 1.52/1.73 (xuntil6(s52)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9895, 9893])).
% 1.52/1.73 tff(9897,plain,
% 1.52/1.73 (until5(s53)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2717, 9896])).
% 1.52/1.73 tff(9898,plain,
% 1.52/1.73 (~node4(s53)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2721, 595, 9805])).
% 1.52/1.73 tff(9899,plain,
% 1.52/1.73 (xuntil6(s53) | (~until5(s53))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2728, 614, 9898])).
% 1.52/1.73 tff(9900,plain,
% 1.52/1.73 (xuntil6(s53)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9899, 9897])).
% 1.52/1.73 tff(9901,plain,
% 1.52/1.73 (until5(s54)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2734, 9900])).
% 1.52/1.73 tff(9902,plain,
% 1.52/1.73 (~node4(s54)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2738, 595, 9804])).
% 1.52/1.73 tff(9903,plain,
% 1.52/1.73 (xuntil6(s54) | (~until5(s54))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2745, 614, 9902])).
% 1.52/1.73 tff(9904,plain,
% 1.52/1.73 (xuntil6(s54)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9903, 9901])).
% 1.52/1.73 tff(9905,plain,
% 1.52/1.73 (until5(s55)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2751, 9904])).
% 1.52/1.73 tff(9906,plain,
% 1.52/1.73 (~node4(s55)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2755, 595, 9803])).
% 1.52/1.73 tff(9907,plain,
% 1.52/1.73 (xuntil6(s55) | (~until5(s55))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2762, 614, 9906])).
% 1.52/1.73 tff(9908,plain,
% 1.52/1.73 (xuntil6(s55)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9907, 9905])).
% 1.52/1.73 tff(9909,plain,
% 1.52/1.73 (until5(s56)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2768, 9908])).
% 1.52/1.73 tff(9910,plain,
% 1.52/1.73 (~node4(s56)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2772, 595, 9802])).
% 1.52/1.73 tff(9911,plain,
% 1.52/1.73 (xuntil6(s56) | (~until5(s56))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2779, 614, 9910])).
% 1.52/1.73 tff(9912,plain,
% 1.52/1.73 (xuntil6(s56)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9911, 9909])).
% 1.52/1.73 tff(9913,plain,
% 1.52/1.73 (until5(s57)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2785, 9912])).
% 1.52/1.73 tff(9914,plain,
% 1.52/1.73 (~node4(s57)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2789, 595, 9801])).
% 1.52/1.73 tff(9915,plain,
% 1.52/1.73 (xuntil6(s57) | (~until5(s57))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2796, 614, 9914])).
% 1.52/1.73 tff(9916,plain,
% 1.52/1.73 (xuntil6(s57)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9915, 9913])).
% 1.52/1.73 tff(9917,plain,
% 1.52/1.73 (until5(s58)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2802, 9916])).
% 1.52/1.73 tff(9918,plain,
% 1.52/1.73 (~node4(s58)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2806, 595, 9800])).
% 1.52/1.73 tff(9919,plain,
% 1.52/1.73 (xuntil6(s58) | (~until5(s58))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2813, 614, 9918])).
% 1.52/1.73 tff(9920,plain,
% 1.52/1.73 (xuntil6(s58)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9919, 9917])).
% 1.52/1.73 tff(9921,plain,
% 1.52/1.73 (until5(s59)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2819, 9920])).
% 1.52/1.73 tff(9922,plain,
% 1.52/1.73 (~node4(s59)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2823, 595, 9799])).
% 1.52/1.73 tff(9923,plain,
% 1.52/1.73 (xuntil6(s59) | (~until5(s59))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2830, 614, 9922])).
% 1.52/1.73 tff(9924,plain,
% 1.52/1.73 (xuntil6(s59)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9923, 9921])).
% 1.52/1.73 tff(9925,plain,
% 1.52/1.73 (until5(s60)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2836, 9924])).
% 1.52/1.73 tff(9926,plain,
% 1.52/1.73 (~node4(s60)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2840, 595, 9798])).
% 1.52/1.73 tff(9927,plain,
% 1.52/1.73 (xuntil6(s60) | (~until5(s60))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2847, 614, 9926])).
% 1.52/1.73 tff(9928,plain,
% 1.52/1.73 ($false),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9927, 9925, 9797])).
% 1.52/1.73 tff(9929,plain,(always3(s85) | xuntil6(s85)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.73 tff(9930,plain,
% 1.52/1.73 (xuntil6(s85)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9929, 9256])).
% 1.52/1.73 tff(9931,plain,
% 1.52/1.73 (until5(s86)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[759, 9930])).
% 1.52/1.73 tff(9932,assumption,(~loop), introduced(assumption)).
% 1.52/1.73 tff(9933,plain,
% 1.52/1.73 (^[X: $i] : refl((loop | (~always3(X)) | (~last(X))) <=> (loop | (~always3(X)) | (~last(X))))),
% 1.52/1.73 inference(bind,[status(th)],[])).
% 1.52/1.73 tff(9934,plain,
% 1.52/1.73 (![X: $i] : (loop | (~always3(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 1.52/1.73 inference(quant_intro,[status(thm)],[9933])).
% 1.52/1.73 tff(9935,plain,
% 1.52/1.73 (![X: $i] : (loop | (~always3(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9936,plain,
% 1.52/1.73 (^[X: $i] : rewrite(((loop | (~always3(X))) | (~last(X))) <=> (loop | (~always3(X)) | (~last(X))))),
% 1.52/1.73 inference(bind,[status(th)],[])).
% 1.52/1.73 tff(9937,plain,
% 1.52/1.73 (![X: $i] : ((loop | (~always3(X))) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 1.52/1.73 inference(quant_intro,[status(thm)],[9936])).
% 1.52/1.73 tff(9938,axiom,(![X: $i] : ((loop | (~always3(X))) | (~last(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty3')).
% 1.52/1.73 tff(9939,plain,
% 1.52/1.73 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[9938, 9937])).
% 1.52/1.73 tff(9940,plain,
% 1.52/1.73 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[9939, 9935])).
% 1.52/1.73 tff(9941,plain,(
% 1.52/1.73 ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 1.52/1.73 inference(skolemize,[status(sab)],[9940])).
% 1.52/1.73 tff(9942,plain,
% 1.52/1.73 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[9941, 9934])).
% 1.52/1.73 tff(9943,plain,
% 1.52/1.73 (((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | (loop | (~always3(s99)) | (~last(s99)))) <=> ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | loop | (~always3(s99)) | (~last(s99)))),
% 1.52/1.73 inference(rewrite,[status(thm)],[])).
% 1.52/1.73 tff(9944,plain,
% 1.52/1.73 ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | (loop | (~always3(s99)) | (~last(s99)))),
% 1.52/1.73 inference(quant_inst,[status(thm)],[])).
% 1.52/1.73 tff(9945,plain,
% 1.52/1.73 ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | loop | (~always3(s99)) | (~last(s99))),
% 1.52/1.73 inference(modus_ponens,[status(thm)],[9944, 9943])).
% 1.52/1.73 tff(9946,plain,
% 1.52/1.73 (loop | (~always3(s99))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9945, 3037, 9942])).
% 1.52/1.73 tff(9947,plain,
% 1.52/1.73 (~always3(s99)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9946, 9932])).
% 1.52/1.73 tff(9948,plain,
% 1.52/1.73 (~always3(s98)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[454, 9947])).
% 1.52/1.73 tff(9949,plain,
% 1.52/1.73 (~node4(s98)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2905, 595, 9948])).
% 1.52/1.73 tff(9950,plain,
% 1.52/1.73 (~node4(s99)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[3005, 595, 9947])).
% 1.52/1.73 tff(9951,plain,
% 1.52/1.73 (~xuntil6(s99)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[5587, 9932])).
% 1.52/1.73 tff(9952,plain,
% 1.52/1.73 (~until5(s99)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[3016, 614, 9951, 9950])).
% 1.52/1.73 tff(9953,plain,
% 1.52/1.73 (~xuntil6(s98)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[3023, 9952])).
% 1.52/1.73 tff(9954,plain,
% 1.52/1.73 (~until5(s98)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2913, 614, 9953, 9949])).
% 1.52/1.73 tff(9955,plain,
% 1.52/1.73 (~xuntil6(s97)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2919, 9954])).
% 1.52/1.73 tff(9956,plain,
% 1.52/1.73 (~always3(s97)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[466, 9948])).
% 1.52/1.73 tff(9957,plain,
% 1.52/1.73 (~node4(s97)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2901, 595, 9956])).
% 1.52/1.73 tff(9958,plain,
% 1.52/1.73 (xuntil6(s97) | (~until5(s97))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2926, 614, 9957])).
% 1.52/1.73 tff(9959,plain,
% 1.52/1.73 (~until5(s97)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9958, 9955])).
% 1.52/1.73 tff(9960,plain,
% 1.52/1.73 (~xuntil6(s96)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2931, 9959])).
% 1.52/1.73 tff(9961,plain,
% 1.52/1.73 (~always3(s96)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[478, 9956])).
% 1.52/1.73 tff(9962,plain,
% 1.52/1.73 (~node4(s96)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2936, 595, 9961])).
% 1.52/1.73 tff(9963,plain,
% 1.52/1.73 (xuntil6(s96) | (~until5(s96))),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[2943, 614, 9962])).
% 1.52/1.73 tff(9964,plain,
% 1.52/1.73 (~until5(s96)),
% 1.52/1.73 inference(unit_resolution,[status(thm)],[9963, 9960])).
% 1.52/1.73 tff(9965,plain,
% 1.52/1.74 (~xuntil6(s95)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[2997, 9964])).
% 1.52/1.74 tff(9966,plain,
% 1.52/1.74 (~always3(s95)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[490, 9961])).
% 1.52/1.74 tff(9967,plain,
% 1.52/1.74 (~node4(s95)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[2984, 595, 9966])).
% 1.52/1.74 tff(9968,plain,
% 1.52/1.74 (xuntil6(s95) | (~until5(s95))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[2991, 614, 9967])).
% 1.52/1.74 tff(9969,plain,
% 1.52/1.74 (~until5(s95)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9968, 9965])).
% 1.52/1.74 tff(9970,plain,
% 1.52/1.74 (~xuntil6(s94)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[2980, 9969])).
% 1.52/1.74 tff(9971,plain,
% 1.52/1.74 (~always3(s94)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[502, 9966])).
% 1.52/1.74 tff(9972,plain,
% 1.52/1.74 (~node4(s94)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[2950, 595, 9971])).
% 1.52/1.74 tff(9973,plain,
% 1.52/1.74 (xuntil6(s94) | (~until5(s94))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[2975, 614, 9972])).
% 1.52/1.74 tff(9974,plain,
% 1.52/1.74 (~until5(s94)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9973, 9970])).
% 1.52/1.74 tff(9975,plain,
% 1.52/1.74 (~xuntil6(s93)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[2968, 9974])).
% 1.52/1.74 tff(9976,plain,
% 1.52/1.74 (~always3(s93)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[514, 9971])).
% 1.52/1.74 tff(9977,plain,
% 1.52/1.74 (~node4(s93)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[2955, 595, 9976])).
% 1.52/1.74 tff(9978,plain,
% 1.52/1.74 (xuntil6(s93) | (~until5(s93))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[2962, 614, 9977])).
% 1.52/1.74 tff(9979,plain,
% 1.52/1.74 (~until5(s93)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9978, 9975])).
% 1.52/1.74 tff(9980,plain,
% 1.52/1.74 (~always3(s92)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[526, 9976])).
% 1.52/1.74 tff(9981,plain,
% 1.52/1.74 (~always3(s91)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[539, 9980])).
% 1.52/1.74 tff(9982,plain,
% 1.52/1.74 (~always3(s90)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[551, 9981])).
% 1.52/1.74 tff(9983,plain,
% 1.52/1.74 (~always3(s89)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[563, 9982])).
% 1.52/1.74 tff(9984,plain,
% 1.52/1.74 (~always3(s88)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[575, 9983])).
% 1.52/1.74 tff(9985,plain,
% 1.52/1.74 (~always3(s87)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[587, 9984])).
% 1.52/1.74 tff(9986,plain,
% 1.52/1.74 (~node4(s87)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[710, 595, 9985])).
% 1.52/1.74 tff(9987,plain,
% 1.52/1.74 (~always3(s86)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[731, 9985])).
% 1.52/1.74 tff(9988,plain,
% 1.52/1.74 (~node4(s86)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[735, 595, 9987])).
% 1.52/1.74 tff(9989,plain,
% 1.52/1.74 (xuntil6(s86)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[744, 9988])).
% 1.52/1.74 tff(9990,plain,
% 1.52/1.74 (until5(s87)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[749, 9989])).
% 1.52/1.74 tff(9991,plain,
% 1.52/1.74 (xuntil6(s87)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[718, 614, 9990, 9986])).
% 1.52/1.74 tff(9992,plain,
% 1.52/1.74 (until5(s88)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[705, 9991])).
% 1.52/1.74 tff(9993,plain,
% 1.52/1.74 (~node4(s88)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[692, 595, 9984])).
% 1.52/1.74 tff(9994,plain,
% 1.52/1.74 (xuntil6(s88) | (~until5(s88))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[699, 614, 9993])).
% 1.52/1.74 tff(9995,plain,
% 1.52/1.74 (xuntil6(s88)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9994, 9992])).
% 1.52/1.74 tff(9996,plain,
% 1.52/1.74 (until5(s89)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[688, 9995])).
% 1.52/1.74 tff(9997,plain,
% 1.52/1.74 (~node4(s89)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[667, 595, 9983])).
% 1.52/1.74 tff(9998,plain,
% 1.52/1.74 (xuntil6(s89) | (~until5(s89))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[675, 614, 9997])).
% 1.52/1.74 tff(9999,plain,
% 1.52/1.74 (xuntil6(s89)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9998, 9996])).
% 1.52/1.74 tff(10000,plain,
% 1.52/1.74 (until5(s90)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[681, 9999])).
% 1.52/1.74 tff(10001,plain,
% 1.52/1.74 (~node4(s90)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[653, 595, 9982])).
% 1.52/1.74 tff(10002,plain,
% 1.52/1.74 (xuntil6(s90) | (~until5(s90))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[661, 614, 10001])).
% 1.52/1.74 tff(10003,plain,
% 1.52/1.74 (xuntil6(s90)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10002, 10000])).
% 1.52/1.74 tff(10004,plain,
% 1.52/1.74 (until5(s91)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[648, 10003])).
% 1.52/1.74 tff(10005,plain,
% 1.52/1.74 (~node4(s91)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[598, 595, 9981])).
% 1.52/1.74 tff(10006,plain,
% 1.52/1.74 (xuntil6(s91) | (~until5(s91))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[643, 614, 10005])).
% 1.52/1.74 tff(10007,plain,
% 1.52/1.74 (xuntil6(s91)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10006, 10004])).
% 1.52/1.74 tff(10008,plain,
% 1.52/1.74 (until5(s92)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[636, 10007])).
% 1.52/1.74 tff(10009,plain,
% 1.52/1.74 (~node4(s92)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[602, 595, 9980])).
% 1.52/1.74 tff(10010,plain,
% 1.52/1.74 (xuntil6(s92) | (~until5(s92))),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[620, 614, 10009])).
% 1.52/1.74 tff(10011,plain,
% 1.52/1.74 (xuntil6(s92)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10010, 10008])).
% 1.52/1.74 tff(10012,plain,
% 1.52/1.74 ($false),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[2894, 10011, 9979])).
% 1.52/1.74 tff(10013,plain,(loop | (~until5(s86))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.74 tff(10014,plain,
% 1.52/1.74 (loop),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10013, 9931])).
% 1.52/1.74 tff(10015,plain,
% 1.52/1.74 (~trans(s99, s74)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8671, 9528, 8663])).
% 1.52/1.74 tff(10016,plain,
% 1.52/1.74 (~trans(s99, s58)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8242, 9528, 9345])).
% 1.52/1.74 tff(10017,plain,
% 1.52/1.74 (trans(s99, s98)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[5923, 10016, 8299, 10015, 10014, 9682, 9673, 9672, 9671, 9661, 9652, 9651, 9641, 9640, 9639, 9638, 9637, 9636, 9635, 9522, 9521, 9520, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9514, 9513, 9512, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 9509, 9402, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 9505, 8338, 9504, 9503, 9502, 9501, 8302, 9500, 8301, 9499, 9634, 9633, 9632, 9621, 9620, 9610, 9609, 9608, 9607, 9606, 9605, 9604, 9603, 9602, 9593, 9590, 9589, 9588, 9587, 9586, 9585, 9584, 9583, 9574, 9573, 9572, 9571, 9570, 9560, 9559, 9541, 9539, 9530, 9529])).
% 1.52/1.74 tff(10018,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s98)) | node2(s99, s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s98)) | node2(s99, s98))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(10019,plain,
% 1.52/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s98)) | node2(s99, s98))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(10020,plain,
% 1.52/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s98)) | node2(s99, s98)),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[10019, 10018])).
% 1.52/1.74 tff(10021,plain,
% 1.52/1.74 (node2(s99, s98)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10020, 10017, 7])).
% 1.52/1.74 tff(10022,plain,
% 1.52/1.74 (m_main_v_state(s99, c_ready)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9067, 19, 9543])).
% 1.52/1.74 tff(10023,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s98, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s98)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s98, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s98)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(10024,plain,
% 1.52/1.74 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s98, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s98)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(10025,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s98, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s98))))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[10024])).
% 1.52/1.74 tff(10026,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s98, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s98)))),
% 1.52/1.74 inference(transitivity,[status(thm)],[10025, 10023])).
% 1.52/1.74 tff(10027,plain,
% 1.52/1.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s99)))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(10028,plain,
% 1.52/1.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s98, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s98))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[10027, 10026])).
% 1.52/1.74 tff(10029,plain,
% 1.52/1.74 ($false),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10028, 3175, 9202, 10022, 9542, 10021])).
% 1.52/1.74 tff(10030,plain,(m_main_v_state(s98, c_busy) | trans(s99, s20) | trans(s99, s95) | trans(s99, s83) | trans(s99, s52) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s97) | trans(s99, s55) | trans(s99, s90) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s81) | trans(s99, s92) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s96) | trans(s99, s12) | trans(s99, s80) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s94) | trans(s99, s43) | trans(s99, s69) | always3(s88) | always3(s91) | always3(s85) | always3(s38) | always3(s37) | always3(s93) | always3(s87) | always3(s74) | xuntil6(s99) | (~until5(s93)) | (~until5(s96))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.74 tff(10031,plain,
% 1.52/1.74 (m_main_v_state(s98, c_busy)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10030, 9522, 8299, 9521, 9520, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9514, 9513, 9512, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 9509, 9402, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 9505, 8338, 9504, 9503, 9502, 9501, 8302, 9500, 8301, 9499, 8970, 9257, 9256, 5999, 6045, 9498, 707, 8663, 3001, 2896, 9183])).
% 1.52/1.74 tff(10032,plain,
% 1.52/1.74 (~always3(s98)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9173, 3154, 10031])).
% 1.52/1.74 tff(10033,plain,
% 1.52/1.74 (xuntil6(s98)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[2999, 10032, 2896])).
% 1.52/1.74 tff(10034,plain,
% 1.52/1.74 (until5(s99)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[3023, 10033])).
% 1.52/1.74 tff(10035,plain,
% 1.52/1.74 (node4(s99)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[3018, 10034, 3001])).
% 1.52/1.74 tff(10036,plain,
% 1.52/1.74 (m_main_v_request(s99)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9251, 3141, 10035])).
% 1.52/1.74 tff(10037,plain,
% 1.52/1.74 (always3(s99)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[3007, 10035])).
% 1.52/1.74 tff(10038,plain,
% 1.52/1.74 (~trans(s99, s15)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[5942, 10037, 9366])).
% 1.52/1.74 tff(10039,plain,
% 1.52/1.74 (~trans(s99, s88)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9052, 10037, 8970])).
% 1.52/1.74 tff(10040,plain,
% 1.52/1.74 (~trans(s99, s91)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9538, 10037, 9257])).
% 1.52/1.74 tff(10041,plain,
% 1.52/1.74 (~trans(s99, s39)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[5963, 10037, 9540])).
% 1.52/1.74 tff(10042,plain,
% 1.52/1.74 (~trans(s99, s58)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8242, 10037, 9345])).
% 1.52/1.74 tff(10043,plain,
% 1.52/1.74 (~trans(s99, s48)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[5952, 10037, 9355])).
% 1.52/1.74 tff(10044,plain,
% 1.52/1.74 (~trans(s99, s84)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9569, 10037, 9376])).
% 1.52/1.74 tff(10045,plain,
% 1.52/1.74 (~trans(s99, s41)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[5974, 10037, 9463])).
% 1.52/1.74 tff(10046,plain,
% 1.52/1.74 (~trans(s99, s54)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8257, 10037, 9349])).
% 1.52/1.74 tff(10047,plain,
% 1.52/1.74 (~trans(s99, s19)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[5985, 10037, 9362])).
% 1.52/1.74 tff(10048,plain,
% 1.52/1.74 (~trans(s99, s67)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8659, 10037, 9336])).
% 1.52/1.74 tff(10049,plain,
% 1.52/1.74 (~trans(s99, s85)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9582, 10037, 9256])).
% 1.52/1.74 tff(10050,plain,
% 1.52/1.74 (~trans(s99, s61)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8269, 10037, 9342])).
% 1.52/1.74 tff(10051,plain,
% 1.52/1.74 (~trans(s99, s9)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6130, 10037, 9399])).
% 1.52/1.74 tff(10052,plain,
% 1.52/1.74 (~trans(s99, s44)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[5996, 10037, 9359])).
% 1.52/1.74 tff(10053,plain,
% 1.52/1.74 (~trans(s99, s38)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6007, 10037, 5999])).
% 1.52/1.74 tff(10054,plain,
% 1.52/1.74 (~trans(s99, s2)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6031, 10037, 9420])).
% 1.52/1.74 tff(10055,plain,
% 1.52/1.74 (~trans(s99, s4)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6042, 10037, 9418])).
% 1.52/1.74 tff(10056,plain,
% 1.52/1.74 (~trans(s99, s37)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6053, 10037, 6045])).
% 1.52/1.74 tff(10057,plain,
% 1.52/1.74 (~trans(s99, s76)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8698, 10037, 9592])).
% 1.52/1.74 tff(10058,plain,
% 1.52/1.74 (~trans(s99, s77)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9601, 10037, 9591])).
% 1.52/1.74 tff(10059,plain,
% 1.52/1.74 (~trans(s99, s13)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6064, 10037, 9368])).
% 1.52/1.74 tff(10060,plain,
% 1.52/1.74 (~trans(s99, s42)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6075, 10037, 9462])).
% 1.52/1.74 tff(10061,plain,
% 1.52/1.74 (~trans(s99, s47)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6086, 10037, 9356])).
% 1.52/1.74 tff(10062,plain,
% 1.52/1.74 (~trans(s99, s25)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6097, 10037, 9322])).
% 1.52/1.74 tff(10063,plain,
% 1.52/1.74 (~trans(s99, s73)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8713, 10037, 9329])).
% 1.52/1.74 tff(10064,plain,
% 1.52/1.74 (~trans(s99, s53)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8291, 10037, 9350])).
% 1.52/1.74 tff(10065,plain,
% 1.52/1.74 (~trans(s99, s22)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6108, 10037, 9325])).
% 1.52/1.74 tff(10066,plain,
% 1.52/1.74 (~trans(s99, s28)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6119, 10037, 9319])).
% 1.52/1.74 tff(10067,plain,
% 1.52/1.74 (~trans(s99, s82)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9619, 10037, 9378])).
% 1.52/1.74 tff(10068,plain,
% 1.52/1.74 (~trans(s99, s34)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6140, 10037, 9313])).
% 1.52/1.74 tff(10069,plain,
% 1.52/1.74 (~trans(s99, s89)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9631, 10037, 9622])).
% 1.52/1.74 tff(10070,plain,
% 1.52/1.74 (~trans(s99, s11)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6151, 10037, 9370])).
% 1.52/1.74 tff(10071,plain,
% 1.52/1.74 (~trans(s99, s5)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6162, 10037, 9417])).
% 1.52/1.74 tff(10072,plain,
% 1.52/1.74 (~trans(s99, s36)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6184, 10037, 8007])).
% 1.52/1.74 tff(10073,plain,
% 1.52/1.74 (~trans(s99, s72)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8786, 10037, 9330])).
% 1.52/1.74 tff(10074,plain,
% 1.52/1.74 (~trans(s99, s49)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8439, 10037, 9354])).
% 1.52/1.74 tff(10075,plain,
% 1.52/1.74 (~trans(s99, s21)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6439, 10037, 9326])).
% 1.52/1.74 tff(10076,plain,
% 1.52/1.74 (~trans(s99, s63)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8854, 10037, 9340])).
% 1.52/1.74 tff(10077,plain,
% 1.52/1.74 (~trans(s99, s64)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8865, 10037, 9339])).
% 1.52/1.74 tff(10078,plain,
% 1.52/1.74 (~trans(s99, s31)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6450, 10037, 9316])).
% 1.52/1.74 tff(10079,plain,
% 1.52/1.74 (~trans(s99, s79)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9650, 10037, 9449])).
% 1.52/1.74 tff(10080,plain,
% 1.52/1.74 (~trans(s99, s6)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6472, 10037, 9416])).
% 1.52/1.74 tff(10081,plain,
% 1.52/1.74 (~trans(s99, s93)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9660, 10037, 9498])).
% 1.52/1.74 tff(10082,plain,
% 1.52/1.74 (~trans(s99, s86)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9670, 10037, 732])).
% 1.52/1.74 tff(10083,plain,
% 1.52/1.74 (~trans(s99, s46)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6483, 10037, 9357])).
% 1.52/1.74 tff(10084,plain,
% 1.52/1.74 (~trans(s99, s33)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6461, 10037, 9314])).
% 1.52/1.74 tff(10085,plain,
% 1.52/1.74 (~trans(s99, s87)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9681, 10037, 707])).
% 1.52/1.74 tff(10086,plain,
% 1.52/1.74 (~trans(s99, s74)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8671, 10037, 8663])).
% 1.52/1.74 tff(10087,assumption,(trans(s99, s98)), introduced(assumption)).
% 1.52/1.74 tff(10088,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s98) | (~trans(s99, s98)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s98) | (~trans(s99, s98)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(10089,plain,
% 1.52/1.74 (((~trans(s99, s98)) | (~always3(s99)) | always3(s98)) <=> ((~always3(s99)) | always3(s98) | (~trans(s99, s98)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(10090,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s98)) | (~always3(s99)) | always3(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~always3(s99)) | always3(s98) | (~trans(s99, s98))))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[10089])).
% 1.52/1.74 tff(10091,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s98)) | (~always3(s99)) | always3(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s98) | (~trans(s99, s98)))),
% 1.52/1.74 inference(transitivity,[status(thm)],[10090, 10088])).
% 1.52/1.74 tff(10092,plain,
% 1.52/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s98)) | (~always3(s99)) | always3(s98))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(10093,plain,
% 1.52/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~always3(s99)) | always3(s98) | (~trans(s99, s98))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[10092, 10091])).
% 1.52/1.74 tff(10094,plain,
% 1.52/1.74 ($false),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10093, 10087, 50, 5934, 2897])).
% 1.52/1.74 tff(10095,plain,((~trans(s99, s98)) | (~always3(s99)) | always3(s98)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.74 tff(10096,plain,
% 1.52/1.74 (~trans(s99, s98)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10095, 10037, 10032])).
% 1.52/1.74 tff(10097,plain,
% 1.52/1.74 (trans(s99, s99)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[5923, 10096, 8299, 10086, 10014, 10085, 10084, 10083, 10082, 10081, 10080, 10079, 10078, 10077, 10076, 10075, 10074, 10073, 10072, 9522, 9521, 9520, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9514, 9513, 9512, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 9509, 9402, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 9505, 8338, 9504, 9503, 9502, 9501, 8302, 9500, 8301, 9499, 10071, 10070, 10069, 10068, 10067, 10066, 10065, 10064, 10063, 10062, 10061, 10060, 10059, 10058, 10057, 10056, 10055, 10054, 10053, 10052, 10051, 10050, 10049, 10048, 10047, 10046, 10045, 10044, 10043, 10042, 10041, 10040, 10039, 10038])).
% 1.52/1.74 tff(10098,plain,
% 1.52/1.74 (node2(s99, s99)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9558, 10097, 7])).
% 1.52/1.74 tff(10099,plain,
% 1.52/1.74 (m_main_v_state(s99, c_busy)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9554, 10098, 10036])).
% 1.52/1.74 tff(10100,plain,
% 1.52/1.74 ($false),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9063, 3154, 10037, 10099])).
% 1.52/1.74 tff(10101,plain,(trans(s99, s95) | trans(s99, s20) | trans(s99, s83) | trans(s99, s52) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s97) | trans(s99, s55) | trans(s99, s90) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s81) | trans(s99, s92) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s96) | trans(s99, s12) | trans(s99, s80) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s94) | trans(s99, s43) | trans(s99, s69) | always3(s88) | always3(s91) | always3(s85) | always3(s38) | always3(s37) | always3(s93) | always3(s87) | always3(s74) | xuntil6(s99) | (~until5(s93)) | (~until5(s96))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.74 tff(10102,plain,
% 1.52/1.74 ($false),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10101, 9497, 9487, 9478, 9468, 9467, 9466, 9465, 9461, 9460, 9448, 9447, 9446, 9445, 9444, 9443, 9442, 9441, 9440, 9439, 9429, 9428, 9427, 9426, 9425, 9424, 9423, 9414, 9413, 9412, 9402, 9401, 9398, 9397, 9396, 9395, 9394, 9393, 9392, 9391, 9390, 9375, 9374, 9373, 9372, 9361, 9334, 9328, 9311, 9281, 8970, 9257, 9256, 5999, 6045, 9271, 707, 8663, 3001, 2896, 9148])).
% 1.52/1.74 tff(10103,plain,(always3(s96) | trans(s99, s92) | trans(s99, s75) | always3(s88) | always3(s91) | always3(s85) | always3(s38) | always3(s37) | always3(s87) | always3(s74) | xuntil6(s99) | (~until5(s93))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.74 tff(10104,plain,
% 1.52/1.74 (always3(s96)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10103, 9267, 9258, 8970, 9257, 9256, 5999, 6045, 707, 9255, 3001, 9056])).
% 1.52/1.74 tff(10105,plain,
% 1.52/1.74 (~m_main_v_state(s96, c_busy)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9097, 3154, 10104])).
% 1.52/1.74 tff(10106,assumption,(node2(s99, s96)), introduced(assumption)).
% 1.52/1.74 tff(10107,assumption,(m_main_v_state(s99, c_ready)), introduced(assumption)).
% 1.52/1.74 tff(10108,assumption,(~m_main_v_state(s96, c_busy)), introduced(assumption)).
% 1.52/1.74 tff(10109,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s96, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s96)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s96, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s96)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(10110,plain,
% 1.52/1.74 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s96, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s96)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(10111,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s96, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s96))))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[10110])).
% 1.52/1.74 tff(10112,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s96, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s96)))),
% 1.52/1.74 inference(transitivity,[status(thm)],[10111, 10109])).
% 1.52/1.74 tff(10113,plain,
% 1.52/1.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s99)))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(10114,plain,
% 1.52/1.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s96, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s96))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[10113, 10112])).
% 1.52/1.74 tff(10115,plain,
% 1.52/1.74 ($false),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10114, 3175, 10108, 10107, 9290, 10106])).
% 1.52/1.74 tff(10116,plain,((~node2(s99, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.74 tff(10117,plain,
% 1.52/1.74 (~node2(s99, s96)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10116, 10105, 9068, 9252])).
% 1.52/1.74 tff(10118,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s96)) | node2(s99, s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s96)) | node2(s99, s96))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(10119,plain,
% 1.52/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s96)) | node2(s99, s96))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(10120,plain,
% 1.52/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s96)) | node2(s99, s96)),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[10119, 10118])).
% 1.52/1.74 tff(10121,plain,
% 1.52/1.74 (~trans(s99, s96)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10120, 7, 10117])).
% 1.52/1.74 tff(10122,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s95)) | node2(s99, s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s95)) | node2(s99, s95))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(10123,plain,
% 1.52/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s95)) | node2(s99, s95))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(10124,plain,
% 1.52/1.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s95)) | node2(s99, s95)),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[10123, 10122])).
% 1.52/1.74 tff(10125,plain,
% 1.52/1.74 (node2(s99, s95)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10124, 4891, 7])).
% 1.52/1.74 tff(10126,plain,
% 1.52/1.74 (always3(s95)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9486, 4891, 5934])).
% 1.52/1.74 tff(10127,plain,
% 1.52/1.74 (~m_main_v_state(s95, c_busy)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9089, 3154, 10126])).
% 1.52/1.74 tff(10128,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s95, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s95)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s95, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s95)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(10129,plain,
% 1.52/1.74 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s95, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s95)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(10130,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s95, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s95))))),
% 1.52/1.74 inference(monotonicity,[status(thm)],[10129])).
% 1.52/1.74 tff(10131,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s95, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s95)))),
% 1.52/1.74 inference(transitivity,[status(thm)],[10130, 10128])).
% 1.52/1.74 tff(10132,plain,
% 1.52/1.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s99)))),
% 1.52/1.74 inference(quant_inst,[status(thm)],[])).
% 1.52/1.74 tff(10133,plain,
% 1.52/1.74 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s95, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s95))),
% 1.52/1.74 inference(modus_ponens,[status(thm)],[10132, 10131])).
% 1.52/1.74 tff(10134,plain,
% 1.52/1.74 ($false),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10133, 3175, 10127, 9292, 9290, 10125])).
% 1.52/1.74 tff(10135,plain,((~trans(s99, s95)) | (~m_main_v_request(s99)) | (~always3(s99))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.74 tff(10136,plain,
% 1.52/1.74 (~trans(s99, s95)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10135, 9252, 9057])).
% 1.52/1.74 tff(10137,plain,
% 1.52/1.74 (~trans(s99, s97)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9310, 9252, 9057])).
% 1.52/1.74 tff(10138,plain,
% 1.52/1.74 (~trans(s99, s20)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6173, 9057, 9327])).
% 1.52/1.74 tff(10139,plain,
% 1.52/1.74 (~always3(s73)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1117, 9255])).
% 1.52/1.74 tff(10140,plain,
% 1.52/1.74 (~always3(s72)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1146, 10139])).
% 1.52/1.74 tff(10141,plain,
% 1.52/1.74 (~always3(s71)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1175, 10140])).
% 1.52/1.74 tff(10142,plain,
% 1.52/1.74 (~always3(s70)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1204, 10141])).
% 1.52/1.74 tff(10143,plain,
% 1.52/1.74 (~always3(s69)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1233, 10142])).
% 1.52/1.74 tff(10144,plain,
% 1.52/1.74 (~trans(s99, s69)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8732, 9057, 10143])).
% 1.52/1.74 tff(10145,plain,
% 1.52/1.74 (~always3(s68)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1262, 10143])).
% 1.52/1.74 tff(10146,plain,
% 1.52/1.74 (~always3(s67)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1291, 10145])).
% 1.52/1.74 tff(10147,plain,
% 1.52/1.74 (~always3(s66)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1320, 10146])).
% 1.52/1.74 tff(10148,plain,
% 1.52/1.74 (~always3(s65)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1349, 10147])).
% 1.52/1.74 tff(10149,plain,
% 1.52/1.74 (~always3(s64)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1378, 10148])).
% 1.52/1.74 tff(10150,plain,
% 1.52/1.74 (~always3(s63)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1407, 10149])).
% 1.52/1.74 tff(10151,plain,
% 1.52/1.74 (~always3(s62)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1431, 10150])).
% 1.52/1.74 tff(10152,plain,
% 1.52/1.74 (~always3(s61)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1443, 10151])).
% 1.52/1.74 tff(10153,plain,
% 1.52/1.74 (~always3(s60)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1455, 10152])).
% 1.52/1.74 tff(10154,plain,
% 1.52/1.74 (~always3(s59)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1467, 10153])).
% 1.52/1.74 tff(10155,plain,
% 1.52/1.74 (~always3(s58)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1479, 10154])).
% 1.52/1.74 tff(10156,plain,
% 1.52/1.74 (~always3(s57)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1491, 10155])).
% 1.52/1.74 tff(10157,plain,
% 1.52/1.74 (~always3(s56)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1503, 10156])).
% 1.52/1.74 tff(10158,plain,
% 1.52/1.74 (~always3(s55)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1515, 10157])).
% 1.52/1.74 tff(10159,plain,
% 1.52/1.74 (~always3(s54)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1527, 10158])).
% 1.52/1.74 tff(10160,plain,
% 1.52/1.74 (~always3(s53)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1539, 10159])).
% 1.52/1.74 tff(10161,plain,
% 1.52/1.74 (~always3(s52)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1551, 10160])).
% 1.52/1.74 tff(10162,plain,
% 1.52/1.74 (~always3(s51)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1563, 10161])).
% 1.52/1.74 tff(10163,plain,
% 1.52/1.74 (~always3(s50)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1575, 10162])).
% 1.52/1.74 tff(10164,plain,
% 1.52/1.74 (~always3(s49)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1587, 10163])).
% 1.52/1.74 tff(10165,plain,
% 1.52/1.74 (~always3(s48)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[1599, 10164])).
% 1.52/1.74 tff(10166,plain,
% 1.52/1.74 (~always3(s47)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[54, 10165])).
% 1.52/1.74 tff(10167,plain,
% 1.52/1.74 (~always3(s46)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[66, 10166])).
% 1.52/1.74 tff(10168,plain,
% 1.52/1.74 (~always3(s45)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[78, 10167])).
% 1.52/1.74 tff(10169,plain,
% 1.52/1.74 (~always3(s44)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[90, 10168])).
% 1.52/1.74 tff(10170,plain,
% 1.52/1.74 (~always3(s43)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[102, 10169])).
% 1.52/1.74 tff(10171,plain,
% 1.52/1.74 (~trans(s99, s43)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6195, 9057, 10170])).
% 1.52/1.74 tff(10172,plain,
% 1.52/1.74 (~trans(s99, s10)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6206, 9057, 9371])).
% 1.52/1.74 tff(10173,plain,
% 1.52/1.74 (~trans(s99, s62)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8310, 9057, 10151])).
% 1.52/1.74 tff(10174,plain,
% 1.52/1.74 (~trans(s99, s56)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8321, 9057, 10157])).
% 1.52/1.74 tff(10175,plain,
% 1.52/1.74 (~trans(s99, s50)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8335, 9057, 10163])).
% 1.52/1.74 tff(10176,plain,
% 1.52/1.74 (~trans(s99, s80)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9389, 9057, 9380])).
% 1.52/1.74 tff(10177,plain,
% 1.52/1.74 (~trans(s99, s12)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6217, 9057, 9369])).
% 1.52/1.74 tff(10178,plain,
% 1.52/1.74 (~trans(s99, s65)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8748, 9057, 10148])).
% 1.52/1.74 tff(10179,plain,
% 1.52/1.74 (~trans(s99, s51)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8347, 9057, 10162])).
% 1.52/1.74 tff(10180,plain,
% 1.52/1.74 (~trans(s99, s18)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6228, 9057, 9363])).
% 1.52/1.74 tff(10181,plain,
% 1.52/1.74 (~trans(s99, s45)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6239, 9057, 10168])).
% 1.52/1.74 tff(10182,plain,
% 1.52/1.74 (~trans(s99, s68)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8762, 9057, 10145])).
% 1.52/1.74 tff(10183,plain,
% 1.52/1.74 (~trans(s99, s26)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6250, 9057, 9321])).
% 1.52/1.74 tff(10184,plain,
% 1.52/1.74 (~trans(s99, s8)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6272, 9057, 9400])).
% 1.52/1.74 tff(10185,plain,
% 1.52/1.74 (~trans(s99, s81)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9411, 9057, 9379])).
% 1.52/1.74 tff(10186,plain,
% 1.52/1.74 (~trans(s99, s35)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6283, 9057, 9312])).
% 1.52/1.74 tff(10187,plain,
% 1.52/1.74 (~trans(s99, s30)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6294, 9057, 9317])).
% 1.52/1.74 tff(10188,plain,
% 1.52/1.74 (~trans(s99, s0)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6307, 9057, 9422])).
% 1.52/1.74 tff(10189,plain,
% 1.52/1.74 (~trans(s99, s3)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6318, 9057, 9419])).
% 1.52/1.74 tff(10190,plain,
% 1.52/1.74 (~trans(s99, s23)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6329, 9057, 9324])).
% 1.52/1.74 tff(10191,plain,
% 1.52/1.74 (~trans(s99, s71)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8804, 9057, 10141])).
% 1.52/1.74 tff(10192,plain,
% 1.52/1.74 (~trans(s99, s66)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8815, 9057, 10147])).
% 1.52/1.74 tff(10193,plain,
% 1.52/1.74 (~trans(s99, s27)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6340, 9057, 9320])).
% 1.52/1.74 tff(10194,plain,
% 1.52/1.74 (~trans(s99, s24)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6351, 9057, 9323])).
% 1.52/1.74 tff(10195,plain,
% 1.52/1.74 (~trans(s99, s90)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9438, 9057, 9430])).
% 1.52/1.74 tff(10196,plain,
% 1.52/1.74 (~trans(s99, s55)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8380, 9057, 10158])).
% 1.52/1.74 tff(10197,plain,
% 1.52/1.74 (~trans(s99, s32)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6362, 9057, 9315])).
% 1.52/1.74 tff(10198,plain,
% 1.52/1.74 (~trans(s99, s14)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6261, 9057, 9367])).
% 1.52/1.74 tff(10199,plain,
% 1.52/1.74 (~trans(s99, s57)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8393, 9057, 10156])).
% 1.52/1.74 tff(10200,plain,
% 1.52/1.74 (~trans(s99, s17)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6384, 9057, 9364])).
% 1.52/1.74 tff(10201,plain,
% 1.52/1.74 (~trans(s99, s60)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8405, 9057, 10153])).
% 1.52/1.74 tff(10202,plain,
% 1.52/1.74 (~trans(s99, s7)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6395, 9057, 9415])).
% 1.52/1.74 tff(10203,plain,
% 1.52/1.74 (~trans(s99, s59)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8417, 9057, 10154])).
% 1.52/1.74 tff(10204,plain,
% 1.52/1.74 (~trans(s99, s1)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6406, 9057, 9421])).
% 1.52/1.74 tff(10205,plain,
% 1.52/1.74 (~trans(s99, s78)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9459, 9057, 9450])).
% 1.52/1.74 tff(10206,plain,
% 1.52/1.74 (~trans(s99, s29)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6417, 9057, 9318])).
% 1.52/1.74 tff(10207,plain,
% 1.52/1.74 (~always3(s42)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[114, 10170])).
% 1.52/1.74 tff(10208,plain,
% 1.52/1.74 (~always3(s41)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[126, 10207])).
% 1.52/1.74 tff(10209,plain,
% 1.52/1.74 (~always3(s40)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[138, 10208])).
% 1.52/1.74 tff(10210,plain,
% 1.52/1.74 (~trans(s99, s40)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6428, 9057, 10209])).
% 1.52/1.74 tff(10211,plain,
% 1.52/1.74 (~trans(s99, s16)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[6373, 9057, 9365])).
% 1.52/1.74 tff(10212,plain,
% 1.52/1.74 (~trans(s99, s70)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8841, 9057, 10142])).
% 1.52/1.74 tff(10213,plain,
% 1.52/1.74 (~trans(s99, s52)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[8369, 9057, 10161])).
% 1.52/1.74 tff(10214,plain,
% 1.52/1.74 (~trans(s99, s83)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9477, 9057, 9377])).
% 1.52/1.74 tff(10215,plain,
% 1.52/1.74 (~m_main_v_state(s99, c_busy)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9063, 3154, 9272])).
% 1.52/1.74 tff(10216,plain,
% 1.52/1.74 (m_main_v_state(s99, c_ready)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9067, 19, 10215])).
% 1.52/1.74 tff(10217,plain,
% 1.52/1.74 (always3(s96)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10103, 9402, 9398, 8970, 9257, 9256, 5999, 6045, 707, 8663, 3001, 2896])).
% 1.52/1.74 tff(10218,plain,
% 1.52/1.74 (~m_main_v_state(s96, c_busy)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9097, 3154, 10217])).
% 1.52/1.74 tff(10219,plain,
% 1.52/1.74 (~node2(s99, s96)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10116, 10218, 10216, 9285])).
% 1.52/1.74 tff(10220,plain,
% 1.52/1.74 (~trans(s99, s96)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10120, 7, 10219])).
% 1.52/1.74 tff(10221,plain,
% 1.52/1.74 (~trans(s99, s95)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10135, 9285, 9272])).
% 1.52/1.74 tff(10222,plain,
% 1.52/1.74 (~always3(s93)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[514, 9488])).
% 1.52/1.74 tff(10223,plain,
% 1.52/1.74 (~trans(s99, s94)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[9496, 9488, 9272])).
% 1.52/1.74 tff(10224,plain,
% 1.52/1.74 ($false),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10101, 10223, 10222, 9478, 9468, 9467, 9466, 9465, 9461, 9460, 9448, 9447, 9446, 9445, 9444, 9443, 9442, 9441, 9440, 9439, 9429, 9428, 9427, 9426, 9425, 9424, 9423, 9414, 9413, 9412, 9402, 9401, 9398, 9397, 9396, 9395, 9394, 9393, 9392, 9391, 9390, 9375, 9374, 9373, 9372, 9361, 9334, 9328, 9311, 10221, 8970, 9257, 9256, 5999, 6045, 10220, 707, 8663, 3001, 2896, 9148])).
% 1.52/1.74 tff(10225,plain,(always3(s94) | trans(s99, s92) | trans(s99, s75) | always3(s88) | always3(s91) | always3(s85) | always3(s38) | always3(s37) | always3(s87) | always3(s74) | xuntil6(s99) | (~until5(s93))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.74 tff(10226,plain,
% 1.52/1.74 (always3(s94)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[10225, 9267, 9258, 8970, 9257, 9256, 5999, 6045, 707, 9255, 3001, 9056])).
% 1.52/1.74 tff(10227,plain,
% 1.52/1.74 (~m_main_v_state(s94, c_busy)),
% 1.52/1.74 inference(unit_resolution,[status(thm)],[3160, 3154, 10226])).
% 1.52/1.74 tff(10228,assumption,(node2(s99, s94)), introduced(assumption)).
% 1.52/1.74 tff(10229,assumption,(~m_main_v_state(s94, c_busy)), introduced(assumption)).
% 1.52/1.74 tff(10230,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s94, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s94)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s94, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s94)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(10231,plain,
% 1.52/1.74 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s94, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s94)))),
% 1.52/1.74 inference(rewrite,[status(thm)],[])).
% 1.52/1.74 tff(10232,plain,
% 1.52/1.74 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s94, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s94))))),
% 1.52/1.75 inference(monotonicity,[status(thm)],[10231])).
% 1.52/1.75 tff(10233,plain,
% 1.52/1.75 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s94, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s94)))),
% 1.52/1.75 inference(transitivity,[status(thm)],[10232, 10230])).
% 1.52/1.75 tff(10234,plain,
% 1.52/1.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s99)))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(10235,plain,
% 1.52/1.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s94, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s94))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[10234, 10233])).
% 1.52/1.75 tff(10236,plain,
% 1.52/1.75 ($false),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10235, 3175, 10229, 10107, 9290, 10228])).
% 1.52/1.75 tff(10237,plain,((~node2(s99, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.75 tff(10238,plain,
% 1.52/1.75 (~node2(s99, s94)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10237, 10227, 9068, 9252])).
% 1.52/1.75 tff(10239,plain,
% 1.52/1.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s94)) | node2(s99, s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s94)) | node2(s99, s94))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10240,plain,
% 1.52/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s94)) | node2(s99, s94))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(10241,plain,
% 1.52/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s94)) | node2(s99, s94)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[10240, 10239])).
% 1.52/1.75 tff(10242,plain,
% 1.52/1.75 (~trans(s99, s94)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10241, 7, 10238])).
% 1.52/1.75 tff(10243,plain,
% 1.52/1.75 (always3(s93)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10101, 10242, 10214, 10213, 10212, 10211, 10210, 10206, 10205, 10204, 10203, 10202, 10201, 10200, 10199, 10198, 10197, 10196, 10195, 10194, 10193, 10192, 10191, 10190, 10189, 10188, 10187, 10186, 10185, 9267, 10184, 9258, 10183, 10182, 10181, 10180, 10179, 10178, 10177, 10176, 10175, 10174, 10173, 10172, 10171, 10144, 10138, 10137, 10136, 8970, 9257, 9256, 5999, 6045, 10121, 707, 9255, 3001, 9056, 9254])).
% 1.52/1.75 tff(10244,assumption,(node2(s99, s93)), introduced(assumption)).
% 1.52/1.75 tff(10245,assumption,(always3(s93)), introduced(assumption)).
% 1.52/1.75 tff(10246,plain,
% 1.52/1.75 (~m_main_v_state(s93, c_busy)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[3186, 3154, 10245])).
% 1.52/1.75 tff(10247,plain,
% 1.52/1.75 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s93, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s93)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s93, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s93)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10248,plain,
% 1.52/1.75 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s93, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s93)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10249,plain,
% 1.52/1.75 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s93, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s93))))),
% 1.52/1.75 inference(monotonicity,[status(thm)],[10248])).
% 1.52/1.75 tff(10250,plain,
% 1.52/1.75 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s93, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s93)))),
% 1.52/1.75 inference(transitivity,[status(thm)],[10249, 10247])).
% 1.52/1.75 tff(10251,plain,
% 1.52/1.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s99)))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(10252,plain,
% 1.52/1.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s93, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s93))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[10251, 10250])).
% 1.52/1.75 tff(10253,plain,
% 1.52/1.75 ($false),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10252, 3175, 10246, 10107, 9290, 10244])).
% 1.52/1.75 tff(10254,plain,((~node2(s99, s93)) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~always3(s93))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.75 tff(10255,plain,
% 1.52/1.75 (~node2(s99, s93)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10254, 10243, 9252, 9068])).
% 1.52/1.75 tff(10256,plain,
% 1.52/1.75 (~trans(s99, s15)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[5942, 9057, 9366])).
% 1.52/1.75 tff(10257,plain,
% 1.52/1.75 (~trans(s99, s88)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[9052, 9057, 8970])).
% 1.52/1.75 tff(10258,plain,
% 1.52/1.75 (~trans(s99, s91)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[9538, 9057, 9257])).
% 1.52/1.75 tff(10259,plain,
% 1.52/1.75 (~always3(s39)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[150, 10209])).
% 1.52/1.75 tff(10260,plain,
% 1.52/1.75 (~trans(s99, s39)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[5963, 9057, 10259])).
% 1.52/1.75 tff(10261,plain,
% 1.52/1.75 (~trans(s99, s58)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[8242, 9057, 10155])).
% 1.52/1.75 tff(10262,plain,
% 1.52/1.75 (~trans(s99, s48)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[5952, 9057, 10165])).
% 1.52/1.75 tff(10263,plain,
% 1.52/1.75 (~trans(s99, s84)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[9569, 9057, 9376])).
% 1.52/1.75 tff(10264,plain,
% 1.52/1.75 (~trans(s99, s41)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[5974, 9057, 10208])).
% 1.52/1.75 tff(10265,plain,
% 1.52/1.75 (~trans(s99, s54)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[8257, 9057, 10159])).
% 1.52/1.75 tff(10266,plain,
% 1.52/1.75 (~trans(s99, s19)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[5985, 9057, 9362])).
% 1.52/1.75 tff(10267,plain,
% 1.52/1.75 (~trans(s99, s67)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[8659, 9057, 10146])).
% 1.52/1.75 tff(10268,plain,
% 1.52/1.75 (~trans(s99, s85)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[9582, 9057, 9256])).
% 1.52/1.75 tff(10269,plain,
% 1.52/1.75 (~trans(s99, s61)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[8269, 9057, 10152])).
% 1.52/1.75 tff(10270,plain,
% 1.52/1.75 (~trans(s99, s9)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6130, 9057, 9399])).
% 1.52/1.75 tff(10271,plain,
% 1.52/1.75 (~trans(s99, s44)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[5996, 9057, 10169])).
% 1.52/1.75 tff(10272,plain,
% 1.52/1.75 (~trans(s99, s38)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6007, 9057, 5999])).
% 1.52/1.75 tff(10273,plain,
% 1.52/1.75 (~trans(s99, s2)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6031, 9057, 9420])).
% 1.52/1.75 tff(10274,plain,
% 1.52/1.75 (~trans(s99, s4)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6042, 9057, 9418])).
% 1.52/1.75 tff(10275,plain,
% 1.52/1.75 (~trans(s99, s37)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6053, 9057, 6045])).
% 1.52/1.75 tff(10276,plain,
% 1.52/1.75 (~trans(s99, s76)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[8698, 9057, 9592])).
% 1.52/1.75 tff(10277,plain,
% 1.52/1.75 (~trans(s99, s77)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[9601, 9057, 9591])).
% 1.52/1.75 tff(10278,plain,
% 1.52/1.75 (~trans(s99, s13)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6064, 9057, 9368])).
% 1.52/1.75 tff(10279,plain,
% 1.52/1.75 (~trans(s99, s42)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6075, 9057, 10207])).
% 1.52/1.75 tff(10280,plain,
% 1.52/1.75 (~trans(s99, s47)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6086, 9057, 10166])).
% 1.52/1.75 tff(10281,plain,
% 1.52/1.75 (~trans(s99, s25)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6097, 9057, 9322])).
% 1.52/1.75 tff(10282,plain,
% 1.52/1.75 (~trans(s99, s73)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[8713, 9057, 10139])).
% 1.52/1.75 tff(10283,plain,
% 1.52/1.75 (~trans(s99, s53)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[8291, 9057, 10160])).
% 1.52/1.75 tff(10284,plain,
% 1.52/1.75 (~trans(s99, s22)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6108, 9057, 9325])).
% 1.52/1.75 tff(10285,plain,
% 1.52/1.75 (~trans(s99, s28)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6119, 9057, 9319])).
% 1.52/1.75 tff(10286,plain,
% 1.52/1.75 (~trans(s99, s82)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[9619, 9057, 9378])).
% 1.52/1.75 tff(10287,plain,
% 1.52/1.75 (~trans(s99, s34)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6140, 9057, 9313])).
% 1.52/1.75 tff(10288,plain,
% 1.52/1.75 (~trans(s99, s89)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[9631, 9057, 9622])).
% 1.52/1.75 tff(10289,plain,
% 1.52/1.75 (~trans(s99, s11)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6151, 9057, 9370])).
% 1.52/1.75 tff(10290,plain,
% 1.52/1.75 (~trans(s99, s5)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6162, 9057, 9417])).
% 1.52/1.75 tff(10291,plain,
% 1.52/1.75 (always3(s97)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[478, 10104])).
% 1.52/1.75 tff(10292,plain,
% 1.52/1.75 (always3(s98)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[466, 10291])).
% 1.52/1.75 tff(10293,plain,
% 1.52/1.75 (~m_main_v_state(s98, c_busy)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[9173, 3154, 10292])).
% 1.52/1.75 tff(10294,assumption,(node2(s99, s98)), introduced(assumption)).
% 1.52/1.75 tff(10295,plain,
% 1.52/1.75 ($false),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10028, 3175, 9202, 10107, 9290, 10294])).
% 1.52/1.75 tff(10296,plain,((~node2(s99, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.75 tff(10297,plain,
% 1.52/1.75 (~node2(s99, s98)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10296, 10293, 9068, 9252])).
% 1.52/1.75 tff(10298,plain,
% 1.52/1.75 (~trans(s99, s98)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10020, 7, 10297])).
% 1.52/1.75 tff(10299,plain,
% 1.52/1.75 (~node2(s99, s99)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[9554, 9252, 9064])).
% 1.52/1.75 tff(10300,assumption,(~node2(s99, s99)), introduced(assumption)).
% 1.52/1.75 tff(10301,plain,
% 1.52/1.75 ($false),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[9558, 4924, 7, 10300])).
% 1.52/1.75 tff(10302,plain,((~trans(s99, s99)) | node2(s99, s99)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.75 tff(10303,plain,
% 1.52/1.75 (~trans(s99, s99)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10302, 10299])).
% 1.52/1.75 tff(10304,plain,
% 1.52/1.75 (~trans(s99, s36)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6184, 9057, 8007])).
% 1.52/1.75 tff(10305,plain,
% 1.52/1.75 (~trans(s99, s72)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[8786, 9057, 10140])).
% 1.52/1.75 tff(10306,plain,
% 1.52/1.75 (~trans(s99, s49)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[8439, 9057, 10164])).
% 1.52/1.75 tff(10307,plain,
% 1.52/1.75 (~trans(s99, s21)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6439, 9057, 9326])).
% 1.52/1.75 tff(10308,plain,
% 1.52/1.75 (~trans(s99, s63)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[8854, 9057, 10150])).
% 1.52/1.75 tff(10309,plain,
% 1.52/1.75 (~trans(s99, s64)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[8865, 9057, 10149])).
% 1.52/1.75 tff(10310,plain,
% 1.52/1.75 (~trans(s99, s31)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6450, 9057, 9316])).
% 1.52/1.75 tff(10311,plain,
% 1.52/1.75 (~trans(s99, s79)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[9650, 9057, 9449])).
% 1.52/1.75 tff(10312,plain,
% 1.52/1.75 (~trans(s99, s6)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6472, 9057, 9416])).
% 1.52/1.75 tff(10313,plain,
% 1.52/1.75 (~trans(s99, s86)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[9670, 9057, 732])).
% 1.52/1.75 tff(10314,plain,
% 1.52/1.75 (~trans(s99, s46)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6483, 9057, 10167])).
% 1.52/1.75 tff(10315,plain,
% 1.52/1.75 (~trans(s99, s33)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[6461, 9057, 9314])).
% 1.52/1.75 tff(10316,plain,
% 1.52/1.75 (~trans(s99, s87)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[9681, 9057, 707])).
% 1.52/1.75 tff(10317,plain,
% 1.52/1.75 (~trans(s99, s74)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[8671, 9057, 9255])).
% 1.52/1.75 tff(10318,plain,
% 1.52/1.75 (trans(s99, s93)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[5923, 10242, 10214, 10317, 10014, 10316, 10315, 10314, 10313, 10213, 10312, 10311, 10310, 10309, 10308, 10307, 10306, 10305, 10304, 10212, 10211, 10210, 10206, 10205, 10204, 10203, 10202, 10201, 10200, 10199, 10198, 10197, 10196, 10195, 10194, 10193, 10192, 10191, 10190, 10189, 10188, 10187, 10186, 10185, 9267, 10184, 9258, 10183, 10182, 10181, 10180, 10179, 10178, 10177, 10176, 10175, 10174, 10173, 10172, 10171, 10144, 10303, 10298, 10121, 10136, 10137, 10138, 10290, 10289, 10288, 10287, 10286, 10285, 10284, 10283, 10282, 10281, 10280, 10279, 10278, 10277, 10276, 10275, 10274, 10273, 10272, 10271, 10270, 10269, 10268, 10267, 10266, 10265, 10264, 10263, 10262, 10261, 10260, 10258, 10257, 10256])).
% 1.52/1.75 tff(10319,plain,
% 1.52/1.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s93)) | node2(s99, s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s93)) | node2(s99, s93))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10320,plain,
% 1.52/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s93)) | node2(s99, s93))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(10321,plain,
% 1.52/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s93)) | node2(s99, s93)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[10320, 10319])).
% 1.52/1.75 tff(10322,plain,
% 1.52/1.75 ($false),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10321, 10318, 7, 10255])).
% 1.52/1.75 tff(10323,plain,(always3(s92) | always3(s88) | always3(s91) | always3(s85) | always3(s38) | always3(s37) | always3(s87) | xuntil6(s99) | always3(s75)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.75 tff(10324,plain,
% 1.52/1.75 ($false),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10323, 1611, 1610, 3001, 540, 528, 576, 588, 770, 1060])).
% 1.52/1.75 tff(10325,plain,(always3(s92) | xuntil6(s99)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.75 tff(10326,plain,
% 1.52/1.75 (always3(s92)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10325, 3001])).
% 1.52/1.75 tff(10327,plain,
% 1.52/1.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s92)) | (~m_main_v_state(s92, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s92)) | (~m_main_v_state(s92, c_busy)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10328,plain,
% 1.52/1.75 (((~m_main_v_state(s92, c_busy)) | (~always3(s92))) <=> ((~always3(s92)) | (~m_main_v_state(s92, c_busy)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10329,plain,
% 1.52/1.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s92, c_busy)) | (~always3(s92)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s92)) | (~m_main_v_state(s92, c_busy))))),
% 1.52/1.75 inference(monotonicity,[status(thm)],[10328])).
% 1.52/1.75 tff(10330,plain,
% 1.52/1.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s92, c_busy)) | (~always3(s92)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s92)) | (~m_main_v_state(s92, c_busy)))),
% 1.52/1.75 inference(transitivity,[status(thm)],[10329, 10327])).
% 1.52/1.75 tff(10331,plain,
% 1.52/1.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s92, c_busy)) | (~always3(s92)))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(10332,plain,
% 1.52/1.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s92)) | (~m_main_v_state(s92, c_busy))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[10331, 10330])).
% 1.52/1.75 tff(10333,plain,
% 1.52/1.75 (~m_main_v_state(s92, c_busy)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10332, 3154, 10326])).
% 1.52/1.75 tff(10334,assumption,(~m_main_v_state(s92, c_busy)), introduced(assumption)).
% 1.52/1.75 tff(10335,assumption,(node4(s91)), introduced(assumption)).
% 1.52/1.75 tff(10336,plain,
% 1.52/1.75 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s91) | (~node4(s91)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s91) | (~node4(s91)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10337,plain,
% 1.52/1.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s91) | (~node4(s91)))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(10338,plain,
% 1.52/1.75 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s91) | (~node4(s91))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[10337, 10336])).
% 1.52/1.75 tff(10339,plain,
% 1.52/1.75 (m_main_v_request(s91)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10338, 3141, 10335])).
% 1.52/1.75 tff(10340,plain,
% 1.52/1.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s91, s92)) | node2(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s91, s92)) | node2(s91, s92))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10341,plain,
% 1.52/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s91, s92)) | node2(s91, s92))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(10342,plain,
% 1.52/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s91, s92)) | node2(s91, s92)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[10341, 10340])).
% 1.52/1.75 tff(10343,plain,
% 1.52/1.75 (node2(s91, s92)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10342, 7, 535])).
% 1.52/1.75 tff(10344,plain,
% 1.52/1.75 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s91, c_ready)) | (~node2(s91, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s91, c_ready)) | (~node2(s91, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10345,plain,
% 1.52/1.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s91, c_ready)) | (~node2(s91, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91)))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(10346,plain,
% 1.52/1.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s91, c_ready)) | (~node2(s91, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[10345, 10344])).
% 1.52/1.75 tff(10347,plain,
% 1.52/1.75 ((~m_main_v_state(s91, c_ready)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10346, 3175, 10343])).
% 1.52/1.75 tff(10348,plain,
% 1.52/1.75 (~m_main_v_state(s91, c_ready)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10347, 10339, 10334])).
% 1.52/1.75 tff(10349,plain,
% 1.52/1.75 (always3(s91)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[598, 595, 10335])).
% 1.52/1.75 tff(10350,plain,
% 1.52/1.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s91)) | (~m_main_v_state(s91, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s91)) | (~m_main_v_state(s91, c_busy)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10351,plain,
% 1.52/1.75 (((~m_main_v_state(s91, c_busy)) | (~always3(s91))) <=> ((~always3(s91)) | (~m_main_v_state(s91, c_busy)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10352,plain,
% 1.52/1.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s91, c_busy)) | (~always3(s91)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s91)) | (~m_main_v_state(s91, c_busy))))),
% 1.52/1.75 inference(monotonicity,[status(thm)],[10351])).
% 1.52/1.75 tff(10353,plain,
% 1.52/1.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s91, c_busy)) | (~always3(s91)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s91)) | (~m_main_v_state(s91, c_busy)))),
% 1.52/1.75 inference(transitivity,[status(thm)],[10352, 10350])).
% 1.52/1.75 tff(10354,plain,
% 1.52/1.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s91, c_busy)) | (~always3(s91)))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(10355,plain,
% 1.52/1.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s91)) | (~m_main_v_state(s91, c_busy))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[10354, 10353])).
% 1.52/1.75 tff(10356,plain,
% 1.52/1.75 (~m_main_v_state(s91, c_busy)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10355, 3154, 10349])).
% 1.52/1.75 tff(10357,plain,
% 1.52/1.75 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s91, c_busy) | m_main_v_state(s91, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s91, c_busy) | m_main_v_state(s91, c_ready))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10358,plain,
% 1.52/1.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s91, c_busy) | m_main_v_state(s91, c_ready))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(10359,plain,
% 1.52/1.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s91, c_busy) | m_main_v_state(s91, c_ready)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[10358, 10357])).
% 1.52/1.75 tff(10360,plain,
% 1.52/1.75 ($false),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10359, 19, 10356, 10348])).
% 1.52/1.75 tff(10361,plain,((~node4(s91)) | m_main_v_state(s92, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.75 tff(10362,plain,
% 1.52/1.75 (~node4(s91)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10361, 10333])).
% 1.52/1.75 tff(10363,plain,
% 1.52/1.75 (~node4(s85)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[773, 595, 8973])).
% 1.52/1.75 tff(10364,plain,
% 1.52/1.75 (~node4(s88)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[692, 595, 8970])).
% 1.52/1.75 tff(10365,assumption,(~xuntil6(s88)), introduced(assumption)).
% 1.52/1.75 tff(10366,plain,
% 1.52/1.75 (node4(s88) | (~until5(s88))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[699, 614, 10365])).
% 1.52/1.75 tff(10367,plain,
% 1.52/1.75 (~until5(s88)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10366, 10364])).
% 1.52/1.75 tff(10368,plain,
% 1.52/1.75 (~xuntil6(s87)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[705, 10367])).
% 1.52/1.75 tff(10369,plain,
% 1.52/1.75 (~until5(s86)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[751, 10368, 8971])).
% 1.52/1.75 tff(10370,plain,
% 1.52/1.75 (~xuntil6(s85)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[759, 10369])).
% 1.52/1.75 tff(10371,plain,
% 1.52/1.75 (~until5(s85)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[780, 614, 10370, 10363])).
% 1.52/1.75 tff(10372,plain,
% 1.52/1.75 (~xuntil6(s84)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[789, 10371])).
% 1.52/1.75 tff(10373,plain,
% 1.52/1.75 (~node4(s84)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[802, 595, 8974])).
% 1.52/1.75 tff(10374,plain,
% 1.52/1.75 (xuntil6(s84) | (~until5(s84))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[809, 614, 10373])).
% 1.52/1.75 tff(10375,plain,
% 1.52/1.75 (~until5(s84)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10374, 10372])).
% 1.52/1.75 tff(10376,plain,
% 1.52/1.75 (~xuntil6(s83)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[818, 10375])).
% 1.52/1.75 tff(10377,plain,
% 1.52/1.75 (~node4(s83)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[831, 595, 8975])).
% 1.52/1.75 tff(10378,plain,
% 1.52/1.75 (xuntil6(s83) | (~until5(s83))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[838, 614, 10377])).
% 1.52/1.75 tff(10379,plain,
% 1.52/1.75 (~until5(s83)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10378, 10376])).
% 1.52/1.75 tff(10380,plain,
% 1.52/1.75 (~xuntil6(s82)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[847, 10379])).
% 1.52/1.75 tff(10381,plain,
% 1.52/1.75 (~node4(s82)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[860, 595, 8976])).
% 1.52/1.75 tff(10382,plain,
% 1.52/1.75 (xuntil6(s82) | (~until5(s82))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[867, 614, 10381])).
% 1.52/1.75 tff(10383,plain,
% 1.52/1.75 (~until5(s82)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10382, 10380])).
% 1.52/1.75 tff(10384,plain,
% 1.52/1.75 (~xuntil6(s81)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[876, 10383])).
% 1.52/1.75 tff(10385,plain,
% 1.52/1.75 (~node4(s81)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[889, 595, 8977])).
% 1.52/1.75 tff(10386,plain,
% 1.52/1.75 (xuntil6(s81) | (~until5(s81))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[896, 614, 10385])).
% 1.52/1.75 tff(10387,plain,
% 1.52/1.75 (~until5(s81)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10386, 10384])).
% 1.52/1.75 tff(10388,plain,
% 1.52/1.75 (~xuntil6(s80)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[905, 10387])).
% 1.52/1.75 tff(10389,plain,
% 1.52/1.75 (~node4(s80)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[918, 595, 8978])).
% 1.52/1.75 tff(10390,plain,
% 1.52/1.75 (xuntil6(s80) | (~until5(s80))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[925, 614, 10389])).
% 1.52/1.75 tff(10391,plain,
% 1.52/1.75 (~until5(s80)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10390, 10388])).
% 1.52/1.75 tff(10392,plain,
% 1.52/1.75 (~xuntil6(s79)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[934, 10391])).
% 1.52/1.75 tff(10393,plain,
% 1.52/1.75 (~node4(s79)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[947, 595, 8979])).
% 1.52/1.75 tff(10394,plain,
% 1.52/1.75 (xuntil6(s79) | (~until5(s79))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[954, 614, 10393])).
% 1.52/1.75 tff(10395,plain,
% 1.52/1.75 (~until5(s79)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10394, 10392])).
% 1.52/1.75 tff(10396,plain,
% 1.52/1.75 (~xuntil6(s78)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[963, 10395])).
% 1.52/1.75 tff(10397,plain,
% 1.52/1.75 (~node4(s78)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[976, 595, 8980])).
% 1.52/1.75 tff(10398,plain,
% 1.52/1.75 (xuntil6(s78) | (~until5(s78))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[983, 614, 10397])).
% 1.52/1.75 tff(10399,plain,
% 1.52/1.75 (~until5(s78)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10398, 10396])).
% 1.52/1.75 tff(10400,plain,
% 1.52/1.75 (~xuntil6(s77)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[992, 10399])).
% 1.52/1.75 tff(10401,plain,
% 1.52/1.75 (~node4(s77)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1005, 595, 8981])).
% 1.52/1.75 tff(10402,plain,
% 1.52/1.75 (xuntil6(s77) | (~until5(s77))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1012, 614, 10401])).
% 1.52/1.75 tff(10403,plain,
% 1.52/1.75 (~until5(s77)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10402, 10400])).
% 1.52/1.75 tff(10404,plain,
% 1.52/1.75 (~xuntil6(s76)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1021, 10403])).
% 1.52/1.75 tff(10405,plain,
% 1.52/1.75 (~node4(s76)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1034, 595, 8982])).
% 1.52/1.75 tff(10406,plain,
% 1.52/1.75 (xuntil6(s76) | (~until5(s76))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1041, 614, 10405])).
% 1.52/1.75 tff(10407,plain,
% 1.52/1.75 (~until5(s76)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10406, 10404])).
% 1.52/1.75 tff(10408,plain,
% 1.52/1.75 (~xuntil6(s75)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1050, 10407])).
% 1.52/1.75 tff(10409,plain,
% 1.52/1.75 (~node4(s75)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1063, 595, 8983])).
% 1.52/1.75 tff(10410,plain,
% 1.52/1.75 (xuntil6(s75) | (~until5(s75))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1070, 614, 10409])).
% 1.52/1.75 tff(10411,plain,
% 1.52/1.75 (~until5(s75)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10410, 10408])).
% 1.52/1.75 tff(10412,plain,
% 1.52/1.75 (~xuntil6(s74)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1079, 10411])).
% 1.52/1.75 tff(10413,plain,
% 1.52/1.75 (~node4(s74)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1092, 595, 8984])).
% 1.52/1.75 tff(10414,plain,
% 1.52/1.75 (xuntil6(s74) | (~until5(s74))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1099, 614, 10413])).
% 1.52/1.75 tff(10415,plain,
% 1.52/1.75 (~until5(s74)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10414, 10412])).
% 1.52/1.75 tff(10416,plain,
% 1.52/1.75 (~xuntil6(s73)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1108, 10415])).
% 1.52/1.75 tff(10417,plain,
% 1.52/1.75 (~node4(s73)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1121, 595, 8985])).
% 1.52/1.75 tff(10418,plain,
% 1.52/1.75 (xuntil6(s73) | (~until5(s73))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1128, 614, 10417])).
% 1.52/1.75 tff(10419,plain,
% 1.52/1.75 (~until5(s73)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10418, 10416])).
% 1.52/1.75 tff(10420,plain,
% 1.52/1.75 (~xuntil6(s72)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1137, 10419])).
% 1.52/1.75 tff(10421,plain,
% 1.52/1.75 (~node4(s72)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1150, 595, 8986])).
% 1.52/1.75 tff(10422,plain,
% 1.52/1.75 (xuntil6(s72) | (~until5(s72))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1157, 614, 10421])).
% 1.52/1.75 tff(10423,plain,
% 1.52/1.75 (~until5(s72)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10422, 10420])).
% 1.52/1.75 tff(10424,plain,
% 1.52/1.75 (~xuntil6(s71)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1166, 10423])).
% 1.52/1.75 tff(10425,plain,
% 1.52/1.75 (~node4(s71)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1179, 595, 8987])).
% 1.52/1.75 tff(10426,plain,
% 1.52/1.75 (xuntil6(s71) | (~until5(s71))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1186, 614, 10425])).
% 1.52/1.75 tff(10427,plain,
% 1.52/1.75 (~until5(s71)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10426, 10424])).
% 1.52/1.75 tff(10428,plain,
% 1.52/1.75 (~xuntil6(s70)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1195, 10427])).
% 1.52/1.75 tff(10429,plain,
% 1.52/1.75 (~node4(s70)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1208, 595, 8988])).
% 1.52/1.75 tff(10430,plain,
% 1.52/1.75 (xuntil6(s70) | (~until5(s70))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1215, 614, 10429])).
% 1.52/1.75 tff(10431,plain,
% 1.52/1.75 (~until5(s70)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10430, 10428])).
% 1.52/1.75 tff(10432,plain,
% 1.52/1.75 (~xuntil6(s69)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1224, 10431])).
% 1.52/1.75 tff(10433,plain,
% 1.52/1.75 (~node4(s69)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1237, 595, 8989])).
% 1.52/1.75 tff(10434,plain,
% 1.52/1.75 (xuntil6(s69) | (~until5(s69))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1244, 614, 10433])).
% 1.52/1.75 tff(10435,plain,
% 1.52/1.75 (~until5(s69)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10434, 10432])).
% 1.52/1.75 tff(10436,plain,
% 1.52/1.75 (~xuntil6(s68)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1253, 10435])).
% 1.52/1.75 tff(10437,plain,
% 1.52/1.75 (~node4(s68)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1266, 595, 8990])).
% 1.52/1.75 tff(10438,plain,
% 1.52/1.75 (xuntil6(s68) | (~until5(s68))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1273, 614, 10437])).
% 1.52/1.75 tff(10439,plain,
% 1.52/1.75 (~until5(s68)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10438, 10436])).
% 1.52/1.75 tff(10440,plain,
% 1.52/1.75 (~xuntil6(s67)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1282, 10439])).
% 1.52/1.75 tff(10441,plain,
% 1.52/1.75 (~node4(s67)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1295, 595, 8991])).
% 1.52/1.75 tff(10442,plain,
% 1.52/1.75 (xuntil6(s67) | (~until5(s67))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1302, 614, 10441])).
% 1.52/1.75 tff(10443,plain,
% 1.52/1.75 (~until5(s67)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10442, 10440])).
% 1.52/1.75 tff(10444,plain,
% 1.52/1.75 (~xuntil6(s66)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1311, 10443])).
% 1.52/1.75 tff(10445,plain,
% 1.52/1.75 (~node4(s66)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1324, 595, 8992])).
% 1.52/1.75 tff(10446,plain,
% 1.52/1.75 (xuntil6(s66) | (~until5(s66))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1331, 614, 10445])).
% 1.52/1.75 tff(10447,plain,
% 1.52/1.75 (~until5(s66)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10446, 10444])).
% 1.52/1.75 tff(10448,plain,
% 1.52/1.75 (~xuntil6(s65)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1340, 10447])).
% 1.52/1.75 tff(10449,plain,
% 1.52/1.75 (~node4(s65)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1353, 595, 8993])).
% 1.52/1.75 tff(10450,plain,
% 1.52/1.75 (xuntil6(s65) | (~until5(s65))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1360, 614, 10449])).
% 1.52/1.75 tff(10451,plain,
% 1.52/1.75 (~until5(s65)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10450, 10448])).
% 1.52/1.75 tff(10452,plain,
% 1.52/1.75 (~xuntil6(s64)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1369, 10451])).
% 1.52/1.75 tff(10453,plain,
% 1.52/1.75 (~node4(s64)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1382, 595, 8994])).
% 1.52/1.75 tff(10454,plain,
% 1.52/1.75 (xuntil6(s64) | (~until5(s64))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1389, 614, 10453])).
% 1.52/1.75 tff(10455,plain,
% 1.52/1.75 (~until5(s64)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10454, 10452])).
% 1.52/1.75 tff(10456,plain,
% 1.52/1.75 (~xuntil6(s63)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1398, 10455])).
% 1.52/1.75 tff(10457,plain,
% 1.52/1.75 (~node4(s63)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1411, 595, 8995])).
% 1.52/1.75 tff(10458,plain,
% 1.52/1.75 (xuntil6(s63) | (~until5(s63))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1418, 614, 10457])).
% 1.52/1.75 tff(10459,plain,
% 1.52/1.75 (~until5(s63)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10458, 10456])).
% 1.52/1.75 tff(10460,plain,
% 1.52/1.75 (~xuntil6(s62)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2887, 10459])).
% 1.52/1.75 tff(10461,plain,
% 1.52/1.75 (~node4(s62)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2874, 595, 8996])).
% 1.52/1.75 tff(10462,plain,
% 1.52/1.75 (xuntil6(s62) | (~until5(s62))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2881, 614, 10461])).
% 1.52/1.75 tff(10463,plain,
% 1.52/1.75 (~until5(s62)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10462, 10460])).
% 1.52/1.75 tff(10464,plain,
% 1.52/1.75 (~xuntil6(s61)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2870, 10463])).
% 1.52/1.75 tff(10465,plain,
% 1.52/1.75 (~node4(s61)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2857, 595, 8997])).
% 1.52/1.75 tff(10466,plain,
% 1.52/1.75 (xuntil6(s61) | (~until5(s61))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2864, 614, 10465])).
% 1.52/1.75 tff(10467,plain,
% 1.52/1.75 (~until5(s61)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10466, 10464])).
% 1.52/1.75 tff(10468,plain,
% 1.52/1.75 (~node4(s36)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1615, 595, 9022])).
% 1.52/1.75 tff(10469,plain,
% 1.52/1.75 (~node4(s35)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[1620, 595, 9023])).
% 1.52/1.75 tff(10470,plain,
% 1.52/1.75 (xuntil6(s34)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2415, 9024])).
% 1.52/1.75 tff(10471,plain,
% 1.52/1.75 (until5(s35)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2420, 10470])).
% 1.52/1.75 tff(10472,plain,
% 1.52/1.75 (xuntil6(s35) | node4(s35)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2427, 614, 10471])).
% 1.52/1.75 tff(10473,plain,
% 1.52/1.75 (xuntil6(s35)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10472, 10469])).
% 1.52/1.75 tff(10474,plain,
% 1.52/1.75 (until5(s36)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2433, 10473])).
% 1.52/1.75 tff(10475,plain,
% 1.52/1.75 (xuntil6(s36)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2440, 614, 10474, 10468])).
% 1.52/1.75 tff(10476,plain,
% 1.52/1.75 (until5(s37)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2445, 10475])).
% 1.52/1.75 tff(10477,plain,
% 1.52/1.75 (~node4(s37)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2449, 595, 9021])).
% 1.52/1.75 tff(10478,plain,
% 1.52/1.75 (xuntil6(s37) | (~until5(s37))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2456, 614, 10477])).
% 1.52/1.75 tff(10479,plain,
% 1.52/1.75 (xuntil6(s37)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10478, 10476])).
% 1.52/1.75 tff(10480,plain,
% 1.52/1.75 (until5(s38)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2462, 10479])).
% 1.52/1.75 tff(10481,plain,
% 1.52/1.75 (~node4(s38)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2466, 595, 9020])).
% 1.52/1.75 tff(10482,plain,
% 1.52/1.75 (xuntil6(s38) | (~until5(s38))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2473, 614, 10481])).
% 1.52/1.75 tff(10483,plain,
% 1.52/1.75 (xuntil6(s38)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10482, 10480])).
% 1.52/1.75 tff(10484,plain,
% 1.52/1.75 (until5(s39)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2479, 10483])).
% 1.52/1.75 tff(10485,plain,
% 1.52/1.75 (~node4(s39)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2483, 595, 9019])).
% 1.52/1.75 tff(10486,plain,
% 1.52/1.75 (xuntil6(s39) | (~until5(s39))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2490, 614, 10485])).
% 1.52/1.75 tff(10487,plain,
% 1.52/1.75 (xuntil6(s39)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10486, 10484])).
% 1.52/1.75 tff(10488,plain,
% 1.52/1.75 (until5(s40)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2496, 10487])).
% 1.52/1.75 tff(10489,plain,
% 1.52/1.75 (~node4(s40)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2500, 595, 9018])).
% 1.52/1.75 tff(10490,plain,
% 1.52/1.75 (xuntil6(s40) | (~until5(s40))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2507, 614, 10489])).
% 1.52/1.75 tff(10491,plain,
% 1.52/1.75 (xuntil6(s40)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10490, 10488])).
% 1.52/1.75 tff(10492,plain,
% 1.52/1.75 (until5(s41)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2513, 10491])).
% 1.52/1.75 tff(10493,plain,
% 1.52/1.75 (~node4(s41)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2517, 595, 9017])).
% 1.52/1.75 tff(10494,plain,
% 1.52/1.75 (xuntil6(s41) | (~until5(s41))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2524, 614, 10493])).
% 1.52/1.75 tff(10495,plain,
% 1.52/1.75 (xuntil6(s41)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10494, 10492])).
% 1.52/1.75 tff(10496,plain,
% 1.52/1.75 (until5(s42)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2530, 10495])).
% 1.52/1.75 tff(10497,plain,
% 1.52/1.75 (~node4(s42)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2534, 595, 9016])).
% 1.52/1.75 tff(10498,plain,
% 1.52/1.75 (xuntil6(s42) | (~until5(s42))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2541, 614, 10497])).
% 1.52/1.75 tff(10499,plain,
% 1.52/1.75 (xuntil6(s42)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10498, 10496])).
% 1.52/1.75 tff(10500,plain,
% 1.52/1.75 (until5(s43)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2547, 10499])).
% 1.52/1.75 tff(10501,plain,
% 1.52/1.75 (~node4(s43)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2551, 595, 9015])).
% 1.52/1.75 tff(10502,plain,
% 1.52/1.75 (xuntil6(s43) | (~until5(s43))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2558, 614, 10501])).
% 1.52/1.75 tff(10503,plain,
% 1.52/1.75 (xuntil6(s43)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10502, 10500])).
% 1.52/1.75 tff(10504,plain,
% 1.52/1.75 (until5(s44)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2564, 10503])).
% 1.52/1.75 tff(10505,plain,
% 1.52/1.75 (~node4(s44)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2568, 595, 9014])).
% 1.52/1.75 tff(10506,plain,
% 1.52/1.75 (xuntil6(s44) | (~until5(s44))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2575, 614, 10505])).
% 1.52/1.75 tff(10507,plain,
% 1.52/1.75 (xuntil6(s44)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10506, 10504])).
% 1.52/1.75 tff(10508,plain,
% 1.52/1.75 (until5(s45)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2581, 10507])).
% 1.52/1.75 tff(10509,plain,
% 1.52/1.75 (~node4(s45)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2585, 595, 9013])).
% 1.52/1.75 tff(10510,plain,
% 1.52/1.75 (xuntil6(s45) | (~until5(s45))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2592, 614, 10509])).
% 1.52/1.75 tff(10511,plain,
% 1.52/1.75 (xuntil6(s45)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10510, 10508])).
% 1.52/1.75 tff(10512,plain,
% 1.52/1.75 (until5(s46)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2598, 10511])).
% 1.52/1.75 tff(10513,plain,
% 1.52/1.75 (~node4(s46)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2602, 595, 9012])).
% 1.52/1.75 tff(10514,plain,
% 1.52/1.75 (xuntil6(s46) | (~until5(s46))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2609, 614, 10513])).
% 1.52/1.75 tff(10515,plain,
% 1.52/1.75 (xuntil6(s46)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10514, 10512])).
% 1.52/1.75 tff(10516,plain,
% 1.52/1.75 (until5(s47)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2615, 10515])).
% 1.52/1.75 tff(10517,plain,
% 1.52/1.75 (~node4(s47)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2619, 595, 9011])).
% 1.52/1.75 tff(10518,plain,
% 1.52/1.75 (xuntil6(s47) | (~until5(s47))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2626, 614, 10517])).
% 1.52/1.75 tff(10519,plain,
% 1.52/1.75 (xuntil6(s47)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10518, 10516])).
% 1.52/1.75 tff(10520,plain,
% 1.52/1.75 (until5(s48)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2632, 10519])).
% 1.52/1.75 tff(10521,plain,
% 1.52/1.75 (~node4(s48)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2636, 595, 9010])).
% 1.52/1.75 tff(10522,plain,
% 1.52/1.75 (xuntil6(s48) | (~until5(s48))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2643, 614, 10521])).
% 1.52/1.75 tff(10523,plain,
% 1.52/1.75 (xuntil6(s48)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10522, 10520])).
% 1.52/1.75 tff(10524,plain,
% 1.52/1.75 (until5(s49)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2649, 10523])).
% 1.52/1.75 tff(10525,plain,
% 1.52/1.75 (~node4(s49)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2653, 595, 9009])).
% 1.52/1.75 tff(10526,plain,
% 1.52/1.75 (xuntil6(s49) | (~until5(s49))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2660, 614, 10525])).
% 1.52/1.75 tff(10527,plain,
% 1.52/1.75 (xuntil6(s49)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10526, 10524])).
% 1.52/1.75 tff(10528,plain,
% 1.52/1.75 (until5(s50)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2666, 10527])).
% 1.52/1.75 tff(10529,plain,
% 1.52/1.75 (~node4(s50)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2670, 595, 9008])).
% 1.52/1.75 tff(10530,plain,
% 1.52/1.75 (xuntil6(s50) | (~until5(s50))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2677, 614, 10529])).
% 1.52/1.75 tff(10531,plain,
% 1.52/1.75 (xuntil6(s50)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10530, 10528])).
% 1.52/1.75 tff(10532,plain,
% 1.52/1.75 (until5(s51)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2683, 10531])).
% 1.52/1.75 tff(10533,plain,
% 1.52/1.75 (~node4(s51)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2687, 595, 9007])).
% 1.52/1.75 tff(10534,plain,
% 1.52/1.75 (xuntil6(s51) | (~until5(s51))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2694, 614, 10533])).
% 1.52/1.75 tff(10535,plain,
% 1.52/1.75 (xuntil6(s51)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10534, 10532])).
% 1.52/1.75 tff(10536,plain,
% 1.52/1.75 (until5(s52)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2700, 10535])).
% 1.52/1.75 tff(10537,plain,
% 1.52/1.75 (~node4(s52)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2704, 595, 9006])).
% 1.52/1.75 tff(10538,plain,
% 1.52/1.75 (xuntil6(s52) | (~until5(s52))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2711, 614, 10537])).
% 1.52/1.75 tff(10539,plain,
% 1.52/1.75 (xuntil6(s52)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10538, 10536])).
% 1.52/1.75 tff(10540,plain,
% 1.52/1.75 (until5(s53)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2717, 10539])).
% 1.52/1.75 tff(10541,plain,
% 1.52/1.75 (~node4(s53)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2721, 595, 9005])).
% 1.52/1.75 tff(10542,plain,
% 1.52/1.75 (xuntil6(s53) | (~until5(s53))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2728, 614, 10541])).
% 1.52/1.75 tff(10543,plain,
% 1.52/1.75 (xuntil6(s53)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10542, 10540])).
% 1.52/1.75 tff(10544,plain,
% 1.52/1.75 (until5(s54)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2734, 10543])).
% 1.52/1.75 tff(10545,plain,
% 1.52/1.75 (~node4(s54)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2738, 595, 9004])).
% 1.52/1.75 tff(10546,plain,
% 1.52/1.75 (xuntil6(s54) | (~until5(s54))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2745, 614, 10545])).
% 1.52/1.75 tff(10547,plain,
% 1.52/1.75 (xuntil6(s54)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10546, 10544])).
% 1.52/1.75 tff(10548,plain,
% 1.52/1.75 (until5(s55)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2751, 10547])).
% 1.52/1.75 tff(10549,plain,
% 1.52/1.75 (~node4(s55)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2755, 595, 9003])).
% 1.52/1.75 tff(10550,plain,
% 1.52/1.75 (xuntil6(s55) | (~until5(s55))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2762, 614, 10549])).
% 1.52/1.75 tff(10551,plain,
% 1.52/1.75 (xuntil6(s55)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10550, 10548])).
% 1.52/1.75 tff(10552,plain,
% 1.52/1.75 (until5(s56)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2768, 10551])).
% 1.52/1.75 tff(10553,plain,
% 1.52/1.75 (~node4(s56)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2772, 595, 9002])).
% 1.52/1.75 tff(10554,plain,
% 1.52/1.75 (xuntil6(s56) | (~until5(s56))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2779, 614, 10553])).
% 1.52/1.75 tff(10555,plain,
% 1.52/1.75 (xuntil6(s56)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10554, 10552])).
% 1.52/1.75 tff(10556,plain,
% 1.52/1.75 (until5(s57)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2785, 10555])).
% 1.52/1.75 tff(10557,plain,
% 1.52/1.75 (~node4(s57)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2789, 595, 9001])).
% 1.52/1.75 tff(10558,plain,
% 1.52/1.75 (xuntil6(s57) | (~until5(s57))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2796, 614, 10557])).
% 1.52/1.75 tff(10559,plain,
% 1.52/1.75 (xuntil6(s57)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10558, 10556])).
% 1.52/1.75 tff(10560,plain,
% 1.52/1.75 (until5(s58)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2802, 10559])).
% 1.52/1.75 tff(10561,plain,
% 1.52/1.75 (~node4(s58)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2806, 595, 9000])).
% 1.52/1.75 tff(10562,plain,
% 1.52/1.75 (xuntil6(s58) | (~until5(s58))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2813, 614, 10561])).
% 1.52/1.75 tff(10563,plain,
% 1.52/1.75 (xuntil6(s58)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10562, 10560])).
% 1.52/1.75 tff(10564,plain,
% 1.52/1.75 (until5(s59)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2819, 10563])).
% 1.52/1.75 tff(10565,plain,
% 1.52/1.75 (~node4(s59)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2823, 595, 8999])).
% 1.52/1.75 tff(10566,plain,
% 1.52/1.75 (xuntil6(s59) | (~until5(s59))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2830, 614, 10565])).
% 1.52/1.75 tff(10567,plain,
% 1.52/1.75 (xuntil6(s59)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10566, 10564])).
% 1.52/1.75 tff(10568,plain,
% 1.52/1.75 (until5(s60)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2836, 10567])).
% 1.52/1.75 tff(10569,plain,
% 1.52/1.75 (~node4(s60)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2840, 595, 8998])).
% 1.52/1.75 tff(10570,plain,
% 1.52/1.75 (xuntil6(s60) | (~until5(s60))),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2847, 614, 10569])).
% 1.52/1.75 tff(10571,plain,
% 1.52/1.75 (xuntil6(s60)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10570, 10568])).
% 1.52/1.75 tff(10572,plain,
% 1.52/1.75 ($false),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[2853, 10571, 10467])).
% 1.52/1.75 tff(10573,plain,(always3(s88) | xuntil6(s88)), inference(lemma,lemma(discharge,[]))).
% 1.52/1.75 tff(10574,plain,
% 1.52/1.75 (xuntil6(s88)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10573, 8970])).
% 1.52/1.75 tff(10575,plain,
% 1.52/1.75 (until5(s89)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[688, 10574])).
% 1.52/1.75 tff(10576,plain,
% 1.52/1.75 (always3(s90)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[683, 655, 669])).
% 1.52/1.75 tff(10577,plain,
% 1.52/1.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s90)) | (~m_main_v_state(s90, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s90)) | (~m_main_v_state(s90, c_busy)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10578,plain,
% 1.52/1.75 (((~m_main_v_state(s90, c_busy)) | (~always3(s90))) <=> ((~always3(s90)) | (~m_main_v_state(s90, c_busy)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10579,plain,
% 1.52/1.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s90, c_busy)) | (~always3(s90)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s90)) | (~m_main_v_state(s90, c_busy))))),
% 1.52/1.75 inference(monotonicity,[status(thm)],[10578])).
% 1.52/1.75 tff(10580,plain,
% 1.52/1.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s90, c_busy)) | (~always3(s90)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s90)) | (~m_main_v_state(s90, c_busy)))),
% 1.52/1.75 inference(transitivity,[status(thm)],[10579, 10577])).
% 1.52/1.75 tff(10581,plain,
% 1.52/1.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s90, c_busy)) | (~always3(s90)))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(10582,plain,
% 1.52/1.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s90)) | (~m_main_v_state(s90, c_busy))),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[10581, 10580])).
% 1.52/1.75 tff(10583,plain,
% 1.52/1.75 (~m_main_v_state(s90, c_busy)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10582, 3154, 10576])).
% 1.52/1.75 tff(10584,plain,
% 1.52/1.75 (always3(s91)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[551, 10576])).
% 1.52/1.75 tff(10585,plain,
% 1.52/1.75 (~m_main_v_state(s91, c_busy)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10355, 3154, 10584])).
% 1.52/1.75 tff(10586,plain,
% 1.52/1.75 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s90, c_busy) | m_main_v_state(s90, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s90, c_busy) | m_main_v_state(s90, c_ready))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10587,plain,
% 1.52/1.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s90, c_busy) | m_main_v_state(s90, c_ready))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(10588,plain,
% 1.52/1.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s90, c_busy) | m_main_v_state(s90, c_ready)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[10587, 10586])).
% 1.52/1.75 tff(10589,plain,
% 1.52/1.75 (m_main_v_state(s90, c_ready)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10588, 19, 10583])).
% 1.52/1.75 tff(10590,plain,
% 1.52/1.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s90, s91)) | node2(s90, s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s90, s91)) | node2(s90, s91))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10591,plain,
% 1.52/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s90, s91)) | node2(s90, s91))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(10592,plain,
% 1.52/1.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s90, s91)) | node2(s90, s91)),
% 1.52/1.75 inference(modus_ponens,[status(thm)],[10591, 10590])).
% 1.52/1.75 tff(10593,plain,
% 1.52/1.75 (node2(s90, s91)),
% 1.52/1.75 inference(unit_resolution,[status(thm)],[10592, 7, 547])).
% 1.52/1.75 tff(10594,plain,
% 1.52/1.75 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s90, c_ready)) | (~node2(s90, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s90)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s90, c_ready)) | (~node2(s90, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s90)))),
% 1.52/1.75 inference(rewrite,[status(thm)],[])).
% 1.52/1.75 tff(10595,plain,
% 1.52/1.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s90, c_ready)) | (~node2(s90, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s90)))),
% 1.52/1.75 inference(quant_inst,[status(thm)],[])).
% 1.52/1.75 tff(10596,plain,
% 1.52/1.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s90, c_ready)) | (~node2(s90, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s90))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10595, 10594])).
% 1.52/1.76 tff(10597,plain,
% 1.52/1.76 ((~m_main_v_state(s90, c_ready)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s90))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10596, 3175, 10593])).
% 1.52/1.76 tff(10598,plain,
% 1.52/1.76 (~m_main_v_request(s90)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10597, 10589, 10585])).
% 1.52/1.76 tff(10599,plain,
% 1.52/1.76 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s90) | (~node4(s90)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s90) | (~node4(s90)))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(10600,plain,
% 1.52/1.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s90) | (~node4(s90)))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(10601,plain,
% 1.52/1.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s90) | (~node4(s90))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10600, 10599])).
% 1.52/1.76 tff(10602,plain,
% 1.52/1.76 (~node4(s90)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10601, 3141, 10598])).
% 1.52/1.76 tff(10603,plain,
% 1.52/1.76 (~until5(s90)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[662, 10602])).
% 1.52/1.76 tff(10604,plain,
% 1.52/1.76 (~xuntil6(s89)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[681, 10603])).
% 1.52/1.76 tff(10605,plain,
% 1.52/1.76 (node4(s89)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[676, 10604])).
% 1.52/1.76 tff(10606,plain,
% 1.52/1.76 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s89) | (~node4(s89)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s89) | (~node4(s89)))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(10607,plain,
% 1.52/1.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s89) | (~node4(s89)))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(10608,plain,
% 1.52/1.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s89) | (~node4(s89))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10607, 10606])).
% 1.52/1.76 tff(10609,plain,
% 1.52/1.76 (m_main_v_request(s89)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10608, 3141, 10605])).
% 1.52/1.76 tff(10610,plain,
% 1.52/1.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s89, s90)) | node2(s89, s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s89, s90)) | node2(s89, s90))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(10611,plain,
% 1.52/1.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s89, s90)) | node2(s89, s90))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(10612,plain,
% 1.52/1.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s89, s90)) | node2(s89, s90)),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10611, 10610])).
% 1.52/1.76 tff(10613,plain,
% 1.52/1.76 (node2(s89, s90)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10612, 7, 559])).
% 1.52/1.76 tff(10614,plain,
% 1.52/1.76 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s89, c_ready)) | (~node2(s89, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s89, c_ready)) | (~node2(s89, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89)))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(10615,plain,
% 1.52/1.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s89, c_ready)) | (~node2(s89, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89)))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(10616,plain,
% 1.52/1.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s89, c_ready)) | (~node2(s89, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10615, 10614])).
% 1.52/1.76 tff(10617,plain,
% 1.52/1.76 ((~m_main_v_state(s89, c_ready)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10616, 3175, 10613])).
% 1.52/1.76 tff(10618,plain,
% 1.52/1.76 (~m_main_v_state(s89, c_ready)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10617, 10609, 10583])).
% 1.52/1.76 tff(10619,plain,
% 1.52/1.76 (always3(s89)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[667, 595, 10605])).
% 1.52/1.76 tff(10620,plain,
% 1.52/1.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s89)) | (~m_main_v_state(s89, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s89)) | (~m_main_v_state(s89, c_busy)))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(10621,plain,
% 1.52/1.76 (((~m_main_v_state(s89, c_busy)) | (~always3(s89))) <=> ((~always3(s89)) | (~m_main_v_state(s89, c_busy)))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(10622,plain,
% 1.52/1.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s89, c_busy)) | (~always3(s89)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s89)) | (~m_main_v_state(s89, c_busy))))),
% 1.52/1.76 inference(monotonicity,[status(thm)],[10621])).
% 1.52/1.76 tff(10623,plain,
% 1.52/1.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s89, c_busy)) | (~always3(s89)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s89)) | (~m_main_v_state(s89, c_busy)))),
% 1.52/1.76 inference(transitivity,[status(thm)],[10622, 10620])).
% 1.52/1.76 tff(10624,plain,
% 1.52/1.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s89, c_busy)) | (~always3(s89)))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(10625,plain,
% 1.52/1.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s89)) | (~m_main_v_state(s89, c_busy))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10624, 10623])).
% 1.52/1.76 tff(10626,plain,
% 1.52/1.76 (~m_main_v_state(s89, c_busy)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10625, 3154, 10619])).
% 1.52/1.76 tff(10627,plain,
% 1.52/1.76 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s89, c_busy) | m_main_v_state(s89, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s89, c_busy) | m_main_v_state(s89, c_ready))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(10628,plain,
% 1.52/1.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s89, c_busy) | m_main_v_state(s89, c_ready))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(10629,plain,
% 1.52/1.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s89, c_busy) | m_main_v_state(s89, c_ready)),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10628, 10627])).
% 1.52/1.76 tff(10630,plain,
% 1.52/1.76 ($false),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10629, 19, 10626, 10618])).
% 1.52/1.76 tff(10631,plain,(xuntil6(s90) | (~until5(s89))), inference(lemma,lemma(discharge,[]))).
% 1.52/1.76 tff(10632,plain,
% 1.52/1.76 (xuntil6(s90)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10631, 10575])).
% 1.52/1.76 tff(10633,plain,
% 1.52/1.76 (until5(s91)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[648, 10632])).
% 1.52/1.76 tff(10634,plain,
% 1.52/1.76 (xuntil6(s91)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[643, 614, 10633, 10362])).
% 1.52/1.76 tff(10635,plain,
% 1.52/1.76 (until5(s92)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[636, 10634])).
% 1.52/1.76 tff(10636,plain,
% 1.52/1.76 (always3(s93)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[526, 10326])).
% 1.52/1.76 tff(10637,plain,
% 1.52/1.76 (~m_main_v_state(s93, c_busy)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[3186, 3154, 10636])).
% 1.52/1.76 tff(10638,plain,
% 1.52/1.76 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s92, c_busy) | m_main_v_state(s92, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s92, c_busy) | m_main_v_state(s92, c_ready))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(10639,plain,
% 1.52/1.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s92, c_busy) | m_main_v_state(s92, c_ready))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(10640,plain,
% 1.52/1.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s92, c_busy) | m_main_v_state(s92, c_ready)),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10639, 10638])).
% 1.52/1.76 tff(10641,plain,
% 1.52/1.76 (m_main_v_state(s92, c_ready)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10640, 19, 10333])).
% 1.52/1.76 tff(10642,plain,
% 1.52/1.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s92, s93)) | node2(s92, s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s92, s93)) | node2(s92, s93))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(10643,plain,
% 1.52/1.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s92, s93)) | node2(s92, s93))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(10644,plain,
% 1.52/1.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s92, s93)) | node2(s92, s93)),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10643, 10642])).
% 1.52/1.76 tff(10645,plain,
% 1.52/1.76 (node2(s92, s93)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10644, 7, 522])).
% 1.52/1.76 tff(10646,plain,
% 1.52/1.76 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s92, c_ready)) | (~node2(s92, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s92, c_ready)) | (~node2(s92, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92)))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(10647,plain,
% 1.52/1.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s92, c_ready)) | (~node2(s92, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92)))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(10648,plain,
% 1.52/1.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s92, c_ready)) | (~node2(s92, s93)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10647, 10646])).
% 1.52/1.76 tff(10649,plain,
% 1.52/1.76 ((~m_main_v_state(s92, c_ready)) | m_main_v_state(s93, c_busy) | (~m_main_v_request(s92))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10648, 3175, 10645])).
% 1.52/1.76 tff(10650,plain,
% 1.52/1.76 (~m_main_v_request(s92)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10649, 10641, 10637])).
% 1.52/1.76 tff(10651,plain,
% 1.52/1.76 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s92) | (~node4(s92)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s92) | (~node4(s92)))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(10652,plain,
% 1.52/1.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s92) | (~node4(s92)))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(10653,plain,
% 1.52/1.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s92) | (~node4(s92))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10652, 10651])).
% 1.52/1.76 tff(10654,plain,
% 1.52/1.76 (~node4(s92)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10653, 3141, 10650])).
% 1.52/1.76 tff(10655,plain,
% 1.52/1.76 (xuntil6(s92) | (~until5(s92))),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[620, 614, 10654])).
% 1.52/1.76 tff(10656,plain,
% 1.52/1.76 (xuntil6(s92)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10655, 10635])).
% 1.52/1.76 tff(10657,plain,
% 1.52/1.76 (until5(s93)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[2894, 10656])).
% 1.52/1.76 tff(10658,plain,
% 1.52/1.76 (xuntil6(s98)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[9245, 10657])).
% 1.52/1.76 tff(10659,plain,
% 1.52/1.76 (until5(s99)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[3023, 10658])).
% 1.52/1.76 tff(10660,plain,
% 1.52/1.76 (node4(s99)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[3018, 10659, 3001])).
% 1.52/1.76 tff(10661,plain,
% 1.52/1.76 (m_main_v_request(s99)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[9251, 3141, 10660])).
% 1.52/1.76 tff(10662,plain,
% 1.52/1.76 (~trans(s99, s39)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[5964, 9019])).
% 1.52/1.76 tff(10663,plain,
% 1.52/1.76 (~trans(s99, s58)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[8243, 9000])).
% 1.52/1.76 tff(10664,plain,
% 1.52/1.76 (~trans(s99, s48)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[5953, 9010])).
% 1.52/1.76 tff(10665,plain,
% 1.52/1.76 ((~trans(s99, s84)) | always3(s84)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[9569, 5932])).
% 1.52/1.76 tff(10666,plain,
% 1.52/1.76 (~trans(s99, s84)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10665, 8974])).
% 1.52/1.76 tff(10667,plain,
% 1.52/1.76 (~trans(s99, s41)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[5975, 9017])).
% 1.52/1.76 tff(10668,plain,
% 1.52/1.76 (~trans(s99, s54)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[8258, 9004])).
% 1.52/1.76 tff(10669,plain,
% 1.52/1.76 (~trans(s99, s19)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[5986, 9039])).
% 1.52/1.76 tff(10670,plain,
% 1.52/1.76 (~trans(s99, s67)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[8660, 8991])).
% 1.52/1.76 tff(10671,plain,
% 1.52/1.76 ((~trans(s99, s85)) | always3(s85)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[9582, 5932])).
% 1.52/1.76 tff(10672,plain,
% 1.52/1.76 (~trans(s99, s85)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10671, 8973])).
% 1.52/1.76 tff(10673,plain,
% 1.52/1.76 (~trans(s99, s61)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[8270, 8997])).
% 1.52/1.76 tff(10674,plain,
% 1.52/1.76 (~always3(s14)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1942, 9043])).
% 1.52/1.76 tff(10675,plain,
% 1.52/1.76 (~always3(s13)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1954, 10674])).
% 1.52/1.76 tff(10676,plain,
% 1.52/1.76 (~always3(s12)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1966, 10675])).
% 1.52/1.76 tff(10677,plain,
% 1.52/1.76 (~always3(s11)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1978, 10676])).
% 1.52/1.76 tff(10678,plain,
% 1.52/1.76 (~always3(s10)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[1990, 10677])).
% 1.52/1.76 tff(10679,plain,
% 1.52/1.76 (~always3(s9)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[2002, 10678])).
% 1.52/1.76 tff(10680,plain,
% 1.52/1.76 (~trans(s99, s9)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[6131, 10679])).
% 1.52/1.76 tff(10681,plain,
% 1.52/1.76 (~trans(s99, s44)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[5997, 9014])).
% 1.52/1.76 tff(10682,plain,
% 1.52/1.76 (~trans(s99, s38)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[6008, 9020])).
% 1.52/1.76 tff(10683,plain,
% 1.52/1.76 (~always3(s8)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[2014, 10679])).
% 1.52/1.76 tff(10684,plain,
% 1.52/1.76 (~always3(s7)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[2026, 10683])).
% 1.52/1.76 tff(10685,plain,
% 1.52/1.76 (~always3(s6)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[2038, 10684])).
% 1.52/1.76 tff(10686,plain,
% 1.52/1.76 (~always3(s5)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[2050, 10685])).
% 1.52/1.76 tff(10687,plain,
% 1.52/1.76 (~always3(s4)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[2062, 10686])).
% 1.52/1.76 tff(10688,plain,
% 1.52/1.76 (~always3(s3)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[2074, 10687])).
% 1.52/1.76 tff(10689,plain,
% 1.52/1.76 (~always3(s2)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[2086, 10688])).
% 1.52/1.76 tff(10690,plain,
% 1.52/1.76 (~trans(s99, s2)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[6032, 10689])).
% 1.52/1.76 tff(10691,plain,
% 1.52/1.76 (~trans(s99, s4)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[6043, 10687])).
% 1.52/1.76 tff(10692,plain,
% 1.52/1.76 (~trans(s99, s37)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[6054, 9021])).
% 1.52/1.76 tff(10693,plain,
% 1.52/1.76 (~trans(s99, s76)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[8699, 8982])).
% 1.52/1.76 tff(10694,plain,
% 1.52/1.76 ((~trans(s99, s77)) | always3(s77)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[9601, 5932])).
% 1.52/1.76 tff(10695,plain,
% 1.52/1.76 (~trans(s99, s77)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10694, 8981])).
% 1.52/1.76 tff(10696,plain,
% 1.52/1.76 (~trans(s99, s13)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[6065, 10675])).
% 1.52/1.76 tff(10697,plain,
% 1.52/1.76 (~trans(s99, s42)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[6076, 9016])).
% 1.52/1.76 tff(10698,plain,
% 1.52/1.76 (~trans(s99, s47)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[6087, 9011])).
% 1.52/1.76 tff(10699,plain,
% 1.52/1.76 (~trans(s99, s25)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[6098, 9033])).
% 1.52/1.76 tff(10700,plain,
% 1.52/1.76 (~trans(s99, s73)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[8714, 8985])).
% 1.52/1.76 tff(10701,plain,
% 1.52/1.76 (~trans(s99, s53)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[8292, 9005])).
% 1.52/1.76 tff(10702,plain,
% 1.52/1.76 (~trans(s99, s22)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[6109, 9036])).
% 1.52/1.76 tff(10703,plain,
% 1.52/1.76 (~trans(s99, s28)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[6120, 9030])).
% 1.52/1.76 tff(10704,plain,
% 1.52/1.76 ((~trans(s99, s82)) | always3(s82)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[9619, 5932])).
% 1.52/1.76 tff(10705,plain,
% 1.52/1.76 (~trans(s99, s82)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10704, 8976])).
% 1.52/1.76 tff(10706,plain,
% 1.52/1.76 (~trans(s99, s34)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[6141, 9024])).
% 1.52/1.76 tff(10707,plain,
% 1.52/1.76 (always3(s94)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[514, 10636])).
% 1.52/1.76 tff(10708,plain,
% 1.52/1.76 (~m_main_v_state(s94, c_busy)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[3160, 3154, 10707])).
% 1.52/1.76 tff(10709,plain,
% 1.52/1.76 (~m_main_v_state(s99, c_busy)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[9063, 3154, 5932])).
% 1.52/1.76 tff(10710,assumption,(~m_main_v_state(s99, c_ready)), introduced(assumption)).
% 1.52/1.76 tff(10711,plain,
% 1.52/1.76 (^[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)))),
% 1.52/1.76 inference(bind,[status(th)],[])).
% 1.52/1.76 tff(10712,plain,
% 1.52/1.76 (![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))),
% 1.52/1.76 inference(quant_intro,[status(thm)],[10711])).
% 1.52/1.76 tff(10713,plain,
% 1.52/1.76 (![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))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(10714,plain,
% 1.52/1.76 (^[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))))),
% 1.52/1.76 inference(bind,[status(th)],[])).
% 1.52/1.76 tff(10715,plain,
% 1.52/1.76 (![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))),
% 1.52/1.76 inference(quant_intro,[status(thm)],[10714])).
% 1.52/1.76 tff(10716,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/sandbox/benchmark/theBenchmark.p','m_main_7')).
% 1.52/1.76 tff(10717,plain,
% 1.52/1.76 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10716, 10715])).
% 1.52/1.76 tff(10718,plain,
% 1.52/1.76 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10717, 10713])).
% 1.52/1.76 tff(10719,plain,(
% 1.52/1.76 ![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 1.52/1.76 inference(skolemize,[status(sab)],[10718])).
% 1.52/1.76 tff(10720,plain,
% 1.52/1.76 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10719, 10712])).
% 1.52/1.76 tff(10721,plain,
% 1.52/1.76 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s98, s99)) | m_main_v_state(s99, c_busy) | node1(s98) | m_main_v_state(s99, c_ready))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy) | node1(s98) | m_main_v_state(s99, c_ready))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(10722,plain,
% 1.52/1.76 ((node1(s98) | m_main_v_state(s99, c_ready) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy)) <=> ((~node2(s98, s99)) | m_main_v_state(s99, c_busy) | node1(s98) | m_main_v_state(s99, c_ready))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(10723,plain,
% 1.52/1.76 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s98) | m_main_v_state(s99, c_ready) | (~node2(s98, s99)) | m_main_v_state(s99, 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))) | ((~node2(s98, s99)) | m_main_v_state(s99, c_busy) | node1(s98) | m_main_v_state(s99, c_ready)))),
% 1.52/1.76 inference(monotonicity,[status(thm)],[10722])).
% 1.52/1.76 tff(10724,plain,
% 1.52/1.76 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s98) | m_main_v_state(s99, c_ready) | (~node2(s98, s99)) | m_main_v_state(s99, 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))) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy) | node1(s98) | m_main_v_state(s99, c_ready))),
% 1.52/1.76 inference(transitivity,[status(thm)],[10723, 10721])).
% 1.52/1.76 tff(10725,plain,
% 1.52/1.76 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s98) | m_main_v_state(s99, c_ready) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(10726,plain,
% 1.52/1.76 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s98, s99)) | m_main_v_state(s99, c_busy) | node1(s98) | m_main_v_state(s99, c_ready)),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10725, 10724])).
% 1.52/1.76 tff(10727,plain,
% 1.52/1.76 (m_main_v_state(s99, c_busy) | node1(s98) | m_main_v_state(s99, c_ready)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10726, 10720, 9162])).
% 1.52/1.76 tff(10728,plain,
% 1.52/1.76 (node1(s98)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[10727, 9545, 10710])).
% 1.52/1.76 tff(10729,assumption,(m_main_v_state(s98, c_ready)), introduced(assumption)).
% 1.52/1.76 tff(10730,plain,
% 1.52/1.76 (~m_main_v_request(s98)),
% 1.52/1.76 inference(unit_resolution,[status(thm)],[9166, 9545, 10729])).
% 1.52/1.76 tff(10731,plain,
% 1.52/1.76 (^[X: $i] : refl((m_main_v_request(X) | (~node1(X))) <=> (m_main_v_request(X) | (~node1(X))))),
% 1.52/1.76 inference(bind,[status(th)],[])).
% 1.52/1.76 tff(10732,plain,
% 1.52/1.76 (![X: $i] : (m_main_v_request(X) | (~node1(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 1.52/1.76 inference(quant_intro,[status(thm)],[10731])).
% 1.52/1.76 tff(10733,plain,
% 1.52/1.76 (![X: $i] : (m_main_v_request(X) | (~node1(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(10734,axiom,(![X: $i] : (m_main_v_request(X) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_5')).
% 1.52/1.76 tff(10735,plain,
% 1.52/1.76 (![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10734, 10733])).
% 1.52/1.76 tff(10736,plain,(
% 1.52/1.76 ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 1.52/1.76 inference(skolemize,[status(sab)],[10735])).
% 1.52/1.76 tff(10737,plain,
% 1.52/1.76 (![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10736, 10732])).
% 1.52/1.76 tff(10738,plain,
% 1.52/1.76 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s98) | (~node1(s98)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s98) | (~node1(s98)))),
% 1.52/1.76 inference(rewrite,[status(thm)],[])).
% 1.52/1.76 tff(10739,plain,
% 1.52/1.76 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s98) | (~node1(s98)))),
% 1.52/1.76 inference(quant_inst,[status(thm)],[])).
% 1.52/1.76 tff(10740,plain,
% 1.52/1.76 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s98) | (~node1(s98))),
% 1.52/1.76 inference(modus_ponens,[status(thm)],[10739, 10738])).
% 1.52/1.76 tff(10741,plain,
% 1.60/1.76 ($false),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10740, 10737, 10730, 10728])).
% 1.60/1.76 tff(10742,plain,(m_main_v_state(s99, c_busy) | (~m_main_v_state(s98, c_ready)) | m_main_v_state(s99, c_ready)), inference(lemma,lemma(discharge,[]))).
% 1.60/1.76 tff(10743,plain,
% 1.60/1.76 (~m_main_v_state(s98, c_ready)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10742, 9545, 10710])).
% 1.60/1.76 tff(10744,plain,
% 1.60/1.76 (^[X: $i] : refl((m_main_v_state(X, c_ready) | (~node1(X))) <=> (m_main_v_state(X, c_ready) | (~node1(X))))),
% 1.60/1.76 inference(bind,[status(th)],[])).
% 1.60/1.76 tff(10745,plain,
% 1.60/1.76 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X))) <=> ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 1.60/1.76 inference(quant_intro,[status(thm)],[10744])).
% 1.60/1.76 tff(10746,plain,
% 1.60/1.76 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X))) <=> ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 1.60/1.76 inference(rewrite,[status(thm)],[])).
% 1.60/1.76 tff(10747,axiom,(![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_4')).
% 1.60/1.76 tff(10748,plain,
% 1.60/1.76 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 1.60/1.76 inference(modus_ponens,[status(thm)],[10747, 10746])).
% 1.60/1.76 tff(10749,plain,(
% 1.60/1.76 ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 1.60/1.76 inference(skolemize,[status(sab)],[10748])).
% 1.60/1.76 tff(10750,plain,
% 1.60/1.76 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 1.60/1.76 inference(modus_ponens,[status(thm)],[10749, 10745])).
% 1.60/1.76 tff(10751,plain,
% 1.60/1.76 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s98, c_ready) | (~node1(s98)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s98, c_ready) | (~node1(s98)))),
% 1.60/1.76 inference(rewrite,[status(thm)],[])).
% 1.60/1.76 tff(10752,plain,
% 1.60/1.76 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s98, c_ready) | (~node1(s98)))),
% 1.60/1.76 inference(quant_inst,[status(thm)],[])).
% 1.60/1.76 tff(10753,plain,
% 1.60/1.76 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s98, c_ready) | (~node1(s98))),
% 1.60/1.76 inference(modus_ponens,[status(thm)],[10752, 10751])).
% 1.60/1.76 tff(10754,plain,
% 1.60/1.76 ($false),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10753, 10750, 10743, 10728])).
% 1.60/1.76 tff(10755,plain,(m_main_v_state(s99, c_busy) | m_main_v_state(s99, c_ready)), inference(lemma,lemma(discharge,[]))).
% 1.60/1.76 tff(10756,plain,
% 1.60/1.76 (m_main_v_state(s99, c_ready)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10755, 10709])).
% 1.60/1.76 tff(10757,plain,
% 1.60/1.76 ((~node2(s99, s94)) | m_main_v_state(s94, c_busy) | (~m_main_v_request(s99))),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10237, 10756])).
% 1.60/1.76 tff(10758,plain,
% 1.60/1.76 (~node2(s99, s94)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10757, 10661, 10708])).
% 1.60/1.76 tff(10759,assumption,(~node2(s99, s94)), introduced(assumption)).
% 1.60/1.76 tff(10760,plain,
% 1.60/1.76 ($false),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10241, 5590, 7, 10759])).
% 1.60/1.76 tff(10761,plain,((~trans(s99, s94)) | node2(s99, s94)), inference(lemma,lemma(discharge,[]))).
% 1.60/1.76 tff(10762,plain,
% 1.60/1.76 (~trans(s99, s94)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10761, 10758])).
% 1.60/1.76 tff(10763,plain,
% 1.60/1.76 (~trans(s99, s11)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6152, 10677])).
% 1.60/1.76 tff(10764,plain,
% 1.60/1.76 (~trans(s99, s5)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6163, 10686])).
% 1.60/1.76 tff(10765,plain,
% 1.60/1.76 (~trans(s99, s20)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6174, 9038])).
% 1.60/1.76 tff(10766,plain,
% 1.60/1.76 ((~trans(s99, s97)) | (~m_main_v_request(s99))),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[9310, 5932])).
% 1.60/1.76 tff(10767,plain,
% 1.60/1.76 (~trans(s99, s97)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10766, 10661])).
% 1.60/1.76 tff(10768,plain,
% 1.60/1.76 ((~trans(s99, s95)) | (~m_main_v_request(s99))),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10135, 5932])).
% 1.60/1.76 tff(10769,plain,
% 1.60/1.76 (~trans(s99, s95)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10768, 10661])).
% 1.60/1.76 tff(10770,assumption,(node2(s99, s92)), introduced(assumption)).
% 1.60/1.76 tff(10771,plain,
% 1.60/1.76 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s92, c_busy) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s92)) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s92, c_busy) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s92)) | (~m_main_v_request(s99)))),
% 1.60/1.76 inference(rewrite,[status(thm)],[])).
% 1.60/1.76 tff(10772,plain,
% 1.60/1.76 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s92, c_busy) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s92)) | (~m_main_v_request(s99)))),
% 1.60/1.76 inference(rewrite,[status(thm)],[])).
% 1.60/1.76 tff(10773,plain,
% 1.60/1.76 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s92, c_busy) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s92)) | (~m_main_v_request(s99))))),
% 1.60/1.76 inference(monotonicity,[status(thm)],[10772])).
% 1.60/1.76 tff(10774,plain,
% 1.60/1.76 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s92, c_busy) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s92)) | (~m_main_v_request(s99)))),
% 1.60/1.76 inference(transitivity,[status(thm)],[10773, 10771])).
% 1.60/1.76 tff(10775,plain,
% 1.60/1.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s99)))),
% 1.60/1.76 inference(quant_inst,[status(thm)],[])).
% 1.60/1.76 tff(10776,plain,
% 1.60/1.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s92, c_busy) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s92)) | (~m_main_v_request(s99))),
% 1.60/1.76 inference(modus_ponens,[status(thm)],[10775, 10774])).
% 1.60/1.76 tff(10777,plain,
% 1.60/1.76 ($false),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10776, 3175, 10334, 10107, 9290, 10770])).
% 1.60/1.76 tff(10778,plain,((~node2(s99, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.60/1.76 tff(10779,plain,
% 1.60/1.76 ((~node2(s99, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s99))),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10778, 10756])).
% 1.60/1.76 tff(10780,plain,
% 1.60/1.76 (~node2(s99, s92)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10779, 10661, 10333])).
% 1.60/1.76 tff(10781,assumption,(~node2(s99, s92)), introduced(assumption)).
% 1.60/1.76 tff(10782,plain,
% 1.60/1.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s92)) | node2(s99, s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s92)) | node2(s99, s92))),
% 1.60/1.76 inference(rewrite,[status(thm)],[])).
% 1.60/1.76 tff(10783,plain,
% 1.60/1.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s92)) | node2(s99, s92))),
% 1.60/1.76 inference(quant_inst,[status(thm)],[])).
% 1.60/1.76 tff(10784,plain,
% 1.60/1.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s92)) | node2(s99, s92)),
% 1.60/1.76 inference(modus_ponens,[status(thm)],[10783, 10782])).
% 1.60/1.76 tff(10785,plain,
% 1.60/1.76 ($false),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10784, 4902, 7, 10781])).
% 1.60/1.76 tff(10786,plain,((~trans(s99, s92)) | node2(s99, s92)), inference(lemma,lemma(discharge,[]))).
% 1.60/1.76 tff(10787,plain,
% 1.60/1.76 (~trans(s99, s92)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10786, 10780])).
% 1.60/1.76 tff(10788,plain,
% 1.60/1.76 (~trans(s99, s36)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6185, 9022])).
% 1.60/1.76 tff(10789,plain,
% 1.60/1.76 ((~node2(s99, s99)) | (~m_main_v_request(s99))),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[9554, 10709])).
% 1.60/1.76 tff(10790,plain,
% 1.60/1.76 (~node2(s99, s99)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10789, 10661])).
% 1.60/1.76 tff(10791,plain,
% 1.60/1.76 (~trans(s99, s99)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10302, 10790])).
% 1.60/1.76 tff(10792,plain,
% 1.60/1.76 (~trans(s99, s69)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8733, 8989])).
% 1.60/1.76 tff(10793,plain,
% 1.60/1.76 (~trans(s99, s43)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6196, 9015])).
% 1.60/1.76 tff(10794,plain,
% 1.60/1.76 (~trans(s99, s10)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6207, 10678])).
% 1.60/1.76 tff(10795,plain,
% 1.60/1.76 (~trans(s99, s62)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8311, 8996])).
% 1.60/1.76 tff(10796,plain,
% 1.60/1.76 (~trans(s99, s56)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8322, 9002])).
% 1.60/1.76 tff(10797,plain,
% 1.60/1.76 (~trans(s99, s50)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8336, 9008])).
% 1.60/1.76 tff(10798,plain,
% 1.60/1.76 ((~trans(s99, s80)) | always3(s80)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[9389, 5932])).
% 1.60/1.76 tff(10799,plain,
% 1.60/1.76 (~trans(s99, s80)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10798, 8978])).
% 1.60/1.76 tff(10800,plain,
% 1.60/1.76 (~trans(s99, s12)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6218, 10676])).
% 1.60/1.76 tff(10801,plain,
% 1.60/1.76 (~trans(s99, s65)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8749, 8993])).
% 1.60/1.76 tff(10802,plain,
% 1.60/1.76 (~trans(s99, s51)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8348, 9007])).
% 1.60/1.76 tff(10803,plain,
% 1.60/1.76 (~trans(s99, s18)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6229, 9040])).
% 1.60/1.76 tff(10804,plain,
% 1.60/1.76 (~trans(s99, s45)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6240, 9013])).
% 1.60/1.76 tff(10805,plain,
% 1.60/1.76 (~trans(s99, s68)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8763, 8990])).
% 1.60/1.76 tff(10806,plain,
% 1.60/1.76 (~trans(s99, s26)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6251, 9032])).
% 1.60/1.76 tff(10807,plain,
% 1.60/1.76 (~trans(s99, s75)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8775, 8983])).
% 1.60/1.76 tff(10808,plain,
% 1.60/1.76 (~trans(s99, s8)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6273, 10683])).
% 1.60/1.76 tff(10809,plain,
% 1.60/1.76 (~trans(s99, s72)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8787, 8986])).
% 1.60/1.76 tff(10810,plain,
% 1.60/1.76 ((~trans(s99, s81)) | always3(s81)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[9411, 5932])).
% 1.60/1.76 tff(10811,plain,
% 1.60/1.76 (~trans(s99, s81)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10810, 8977])).
% 1.60/1.76 tff(10812,plain,
% 1.60/1.76 (~trans(s99, s35)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6284, 9023])).
% 1.60/1.76 tff(10813,plain,
% 1.60/1.76 (~trans(s99, s30)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6295, 9028])).
% 1.60/1.76 tff(10814,plain,
% 1.60/1.76 (~always3(s1)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[2098, 10689])).
% 1.60/1.76 tff(10815,plain,
% 1.60/1.76 (~always3(s0)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[2114, 10814])).
% 1.60/1.76 tff(10816,plain,
% 1.60/1.76 (~trans(s99, s0)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6308, 10815])).
% 1.60/1.76 tff(10817,plain,
% 1.60/1.76 (~trans(s99, s3)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6319, 10688])).
% 1.60/1.76 tff(10818,plain,
% 1.60/1.76 (~trans(s99, s23)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6330, 9035])).
% 1.60/1.76 tff(10819,plain,
% 1.60/1.76 (~trans(s99, s71)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8805, 8987])).
% 1.60/1.76 tff(10820,plain,
% 1.60/1.76 (~trans(s99, s66)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8816, 8992])).
% 1.60/1.76 tff(10821,plain,
% 1.60/1.76 (~trans(s99, s27)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6341, 9031])).
% 1.60/1.76 tff(10822,plain,
% 1.60/1.76 (~trans(s99, s24)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6352, 9034])).
% 1.60/1.76 tff(10823,plain,
% 1.60/1.76 (always3(s95)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[502, 10707])).
% 1.60/1.76 tff(10824,plain,
% 1.60/1.76 (always3(s96)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[490, 10823])).
% 1.60/1.76 tff(10825,plain,
% 1.60/1.76 (always3(s97)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[478, 10824])).
% 1.60/1.76 tff(10826,plain,
% 1.60/1.76 (always3(s98)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[466, 10825])).
% 1.60/1.76 tff(10827,plain,
% 1.60/1.76 (~m_main_v_state(s98, c_busy)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[9173, 3154, 10826])).
% 1.60/1.76 tff(10828,plain,
% 1.60/1.76 ((~node2(s99, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s99))),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10296, 10756])).
% 1.60/1.76 tff(10829,plain,
% 1.60/1.76 (~node2(s99, s98)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10828, 10661, 10827])).
% 1.60/1.76 tff(10830,assumption,(~node2(s99, s98)), introduced(assumption)).
% 1.60/1.76 tff(10831,plain,
% 1.60/1.76 ($false),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10020, 10087, 7, 10830])).
% 1.60/1.76 tff(10832,plain,((~trans(s99, s98)) | node2(s99, s98)), inference(lemma,lemma(discharge,[]))).
% 1.60/1.76 tff(10833,plain,
% 1.60/1.76 (~trans(s99, s98)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10832, 10829])).
% 1.60/1.76 tff(10834,plain,
% 1.60/1.76 (~trans(s99, s55)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8381, 9003])).
% 1.60/1.76 tff(10835,plain,
% 1.60/1.76 (~trans(s99, s32)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6363, 9026])).
% 1.60/1.76 tff(10836,plain,
% 1.60/1.76 (~trans(s99, s14)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6262, 10674])).
% 1.60/1.76 tff(10837,plain,
% 1.60/1.76 (~trans(s99, s57)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8394, 9001])).
% 1.60/1.76 tff(10838,plain,
% 1.60/1.76 (~trans(s99, s17)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6385, 9041])).
% 1.60/1.76 tff(10839,plain,
% 1.60/1.76 (~trans(s99, s60)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8406, 8998])).
% 1.60/1.76 tff(10840,plain,
% 1.60/1.76 (~trans(s99, s7)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6396, 10684])).
% 1.60/1.76 tff(10841,plain,
% 1.60/1.76 (~trans(s99, s59)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8418, 8999])).
% 1.60/1.76 tff(10842,plain,
% 1.60/1.76 (~trans(s99, s1)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6407, 10814])).
% 1.60/1.76 tff(10843,plain,
% 1.60/1.76 ((~trans(s99, s78)) | always3(s78)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[9459, 5932])).
% 1.60/1.76 tff(10844,plain,
% 1.60/1.76 (~trans(s99, s78)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10843, 8980])).
% 1.60/1.76 tff(10845,plain,
% 1.60/1.76 (~trans(s99, s29)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6418, 9029])).
% 1.60/1.76 tff(10846,plain,
% 1.60/1.76 (~trans(s99, s40)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6429, 9018])).
% 1.60/1.76 tff(10847,plain,
% 1.60/1.76 (~trans(s99, s16)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6374, 9042])).
% 1.60/1.76 tff(10848,plain,
% 1.60/1.76 (~trans(s99, s70)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8842, 8988])).
% 1.60/1.76 tff(10849,plain,
% 1.60/1.76 (~trans(s99, s49)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8440, 9009])).
% 1.60/1.76 tff(10850,plain,
% 1.60/1.76 (~trans(s99, s21)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6440, 9037])).
% 1.60/1.76 tff(10851,plain,
% 1.60/1.76 (~trans(s99, s63)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8855, 8995])).
% 1.60/1.76 tff(10852,plain,
% 1.60/1.76 (~trans(s99, s64)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[8866, 8994])).
% 1.60/1.76 tff(10853,plain,
% 1.60/1.76 (~trans(s99, s31)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6451, 9027])).
% 1.60/1.76 tff(10854,plain,
% 1.60/1.76 ((~trans(s99, s79)) | always3(s79)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[9650, 5932])).
% 1.60/1.76 tff(10855,plain,
% 1.60/1.76 (~trans(s99, s79)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10854, 8979])).
% 1.60/1.76 tff(10856,plain,
% 1.60/1.76 (~trans(s99, s6)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[6473, 10685])).
% 1.60/1.76 tff(10857,plain,
% 1.60/1.76 ((~trans(s99, s86)) | always3(s86)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[9670, 5932])).
% 1.60/1.76 tff(10858,plain,
% 1.60/1.76 (~trans(s99, s86)),
% 1.60/1.76 inference(unit_resolution,[status(thm)],[10857, 8972])).
% 1.60/1.76 tff(10859,plain,
% 1.60/1.77 (~trans(s99, s46)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[6484, 9012])).
% 1.60/1.77 tff(10860,plain,
% 1.60/1.77 (~trans(s99, s52)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[8370, 9006])).
% 1.60/1.77 tff(10861,plain,
% 1.60/1.77 (~trans(s99, s33)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[6462, 9025])).
% 1.60/1.77 tff(10862,plain,
% 1.60/1.77 ((~trans(s99, s87)) | always3(s87)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[9681, 5932])).
% 1.60/1.77 tff(10863,plain,
% 1.60/1.77 (~trans(s99, s87)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10862, 8971])).
% 1.60/1.77 tff(10864,plain,
% 1.60/1.77 (~trans(s99, s74)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[8672, 8984])).
% 1.60/1.77 tff(10865,plain,
% 1.60/1.77 ((~trans(s99, s83)) | always3(s83)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[9477, 5932])).
% 1.60/1.77 tff(10866,plain,
% 1.60/1.77 (~trans(s99, s83)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10865, 8975])).
% 1.60/1.77 tff(10867,plain,
% 1.60/1.77 (~m_main_v_state(s96, c_busy)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[9097, 3154, 10824])).
% 1.60/1.77 tff(10868,plain,
% 1.60/1.77 ((~node2(s99, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s99))),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10116, 10756])).
% 1.60/1.77 tff(10869,plain,
% 1.60/1.77 (~node2(s99, s96)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10868, 10661, 10867])).
% 1.60/1.77 tff(10870,assumption,(~node2(s99, s96)), introduced(assumption)).
% 1.60/1.77 tff(10871,plain,
% 1.60/1.77 ($false),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10120, 5601, 7, 10870])).
% 1.60/1.77 tff(10872,plain,((~trans(s99, s96)) | node2(s99, s96)), inference(lemma,lemma(discharge,[]))).
% 1.60/1.77 tff(10873,plain,
% 1.60/1.77 (~trans(s99, s96)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10872, 10869])).
% 1.60/1.77 tff(10874,plain,
% 1.60/1.77 ((~node2(s99, s93)) | (~m_main_v_request(s99)) | (~always3(s93))),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10254, 10756])).
% 1.60/1.77 tff(10875,plain,
% 1.60/1.77 (~node2(s99, s93)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10874, 10661, 10636])).
% 1.60/1.77 tff(10876,assumption,(~node2(s99, s93)), introduced(assumption)).
% 1.60/1.77 tff(10877,plain,
% 1.60/1.77 ($false),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10321, 5612, 7, 10876])).
% 1.60/1.77 tff(10878,plain,((~trans(s99, s93)) | node2(s99, s93)), inference(lemma,lemma(discharge,[]))).
% 1.60/1.77 tff(10879,plain,
% 1.60/1.77 (~trans(s99, s93)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10878, 10875])).
% 1.60/1.77 tff(10880,assumption,(~trans(s99, s88)), introduced(assumption)).
% 1.60/1.77 tff(10881,plain,
% 1.60/1.77 ((~trans(s99, s91)) | always3(s91)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[9538, 5932])).
% 1.60/1.77 tff(10882,plain,
% 1.60/1.77 (~trans(s99, s91)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10881, 9257])).
% 1.60/1.77 tff(10883,assumption,(~trans(s99, s58)), introduced(assumption)).
% 1.60/1.77 tff(10884,assumption,(~trans(s99, s84)), introduced(assumption)).
% 1.60/1.77 tff(10885,assumption,(~trans(s99, s54)), introduced(assumption)).
% 1.60/1.77 tff(10886,assumption,(~trans(s99, s67)), introduced(assumption)).
% 1.60/1.77 tff(10887,assumption,(~trans(s99, s85)), introduced(assumption)).
% 1.60/1.77 tff(10888,assumption,(~trans(s99, s61)), introduced(assumption)).
% 1.60/1.77 tff(10889,assumption,(~trans(s99, s76)), introduced(assumption)).
% 1.60/1.77 tff(10890,assumption,(~trans(s99, s77)), introduced(assumption)).
% 1.60/1.77 tff(10891,assumption,(~trans(s99, s73)), introduced(assumption)).
% 1.60/1.77 tff(10892,assumption,(~trans(s99, s53)), introduced(assumption)).
% 1.60/1.77 tff(10893,assumption,(~trans(s99, s82)), introduced(assumption)).
% 1.60/1.77 tff(10894,assumption,(~trans(s99, s99)), introduced(assumption)).
% 1.60/1.77 tff(10895,assumption,(~trans(s99, s72)), introduced(assumption)).
% 1.60/1.77 tff(10896,assumption,(~trans(s99, s98)), introduced(assumption)).
% 1.60/1.77 tff(10897,assumption,(~trans(s99, s49)), introduced(assumption)).
% 1.60/1.77 tff(10898,assumption,(~trans(s99, s63)), introduced(assumption)).
% 1.60/1.77 tff(10899,assumption,(~trans(s99, s64)), introduced(assumption)).
% 1.60/1.77 tff(10900,assumption,(~trans(s99, s79)), introduced(assumption)).
% 1.60/1.77 tff(10901,assumption,(~trans(s99, s86)), introduced(assumption)).
% 1.60/1.77 tff(10902,assumption,(~trans(s99, s87)), introduced(assumption)).
% 1.60/1.77 tff(10903,assumption,(~trans(s99, s74)), introduced(assumption)).
% 1.60/1.77 tff(10904,assumption,(~trans(s99, s93)), introduced(assumption)).
% 1.60/1.77 tff(10905,plain,
% 1.60/1.77 ((~trans(s99, s90)) | always3(s90)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[9438, 5932])).
% 1.60/1.77 tff(10906,plain,
% 1.60/1.77 (~trans(s99, s90)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10905, 9430])).
% 1.60/1.77 tff(10907,plain,
% 1.60/1.77 ((~trans(s99, s89)) | always3(s89)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[9631, 5932])).
% 1.60/1.77 tff(10908,plain,
% 1.60/1.77 (~trans(s99, s89)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10907, 9622])).
% 1.60/1.77 tff(10909,plain,
% 1.60/1.77 (loop),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[9946, 5932])).
% 1.60/1.77 tff(10910,plain,
% 1.60/1.77 (trans(s99, s0) | trans(s99, s1) | trans(s99, s2) | trans(s99, s3) | trans(s99, s4) | trans(s99, s5) | trans(s99, s6) | trans(s99, s7) | trans(s99, s8) | trans(s99, s9) | trans(s99, s10) | trans(s99, s11) | trans(s99, s12) | trans(s99, s13) | trans(s99, s14) | trans(s99, s15) | trans(s99, s16) | trans(s99, s17) | trans(s99, s18) | trans(s99, s19) | trans(s99, s20) | trans(s99, s21) | trans(s99, s22) | trans(s99, s23) | trans(s99, s24) | trans(s99, s25) | trans(s99, s26) | trans(s99, s27) | trans(s99, s28) | trans(s99, s29) | trans(s99, s30) | trans(s99, s31) | trans(s99, s32) | trans(s99, s33) | trans(s99, s34) | trans(s99, s35) | trans(s99, s36) | trans(s99, s37) | trans(s99, s38) | trans(s99, s39) | trans(s99, s40) | trans(s99, s41) | trans(s99, s42) | trans(s99, s43) | trans(s99, s44) | trans(s99, s45) | trans(s99, s46) | trans(s99, s47) | trans(s99, s48) | trans(s99, s49) | trans(s99, s50) | trans(s99, s51) | trans(s99, s52) | trans(s99, s53) | trans(s99, s54) | trans(s99, s55) | trans(s99, s56) | trans(s99, s57) | trans(s99, s58) | trans(s99, s59) | trans(s99, s60) | trans(s99, s61) | trans(s99, s62) | trans(s99, s63) | trans(s99, s64) | trans(s99, s65) | trans(s99, s66) | trans(s99, s67) | trans(s99, s68) | trans(s99, s69) | trans(s99, s70) | trans(s99, s71) | trans(s99, s72) | trans(s99, s73) | trans(s99, s74) | trans(s99, s75) | trans(s99, s76) | trans(s99, s77) | trans(s99, s78) | trans(s99, s79) | trans(s99, s80) | trans(s99, s81) | trans(s99, s82) | trans(s99, s83) | trans(s99, s84) | trans(s99, s85) | trans(s99, s86) | trans(s99, s87) | trans(s99, s88) | trans(s99, s89) | trans(s99, s90) | trans(s99, s91) | trans(s99, s92) | trans(s99, s93) | trans(s99, s94) | trans(s99, s95) | trans(s99, s96) | trans(s99, s97) | trans(s99, s98) | trans(s99, s99)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[5923, 10909])).
% 1.60/1.77 tff(10911,plain,
% 1.60/1.77 ($false),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10910, 10908, 10906, 10904, 9505, 9521, 10903, 10902, 8425, 9520, 8429, 10901, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 10896, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 9509, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9504, 9503, 9502, 9501, 8302, 8301, 9499, 10894, 8300, 9402, 9522, 9514, 8299, 8298, 8297, 9500, 8296, 10893, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 8273, 8428, 10888, 10887, 10886, 8272, 10885, 8260, 10884, 8228, 10883, 8229, 10882, 10880, 8227])).
% 1.60/1.77 tff(10912,plain,(always3(s91) | trans(s99, s93) | trans(s99, s96) | trans(s99, s83) | trans(s99, s74) | trans(s99, s87) | trans(s99, s33) | trans(s99, s52) | trans(s99, s46) | trans(s99, s86) | trans(s99, s6) | trans(s99, s79) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s98) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s81) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s80) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s99) | trans(s99, s36) | trans(s99, s92) | trans(s99, s95) | trans(s99, s97) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s94) | trans(s99, s34) | trans(s99, s82) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s77) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s9) | trans(s99, s61) | trans(s99, s85) | trans(s99, s67) | trans(s99, s19) | trans(s99, s54) | trans(s99, s41) | trans(s99, s84) | trans(s99, s48) | trans(s99, s58) | trans(s99, s39) | trans(s99, s88) | trans(s99, s15)), inference(lemma,lemma(discharge,[]))).
% 1.60/1.77 tff(10913,plain,
% 1.60/1.77 (always3(s91)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10912, 10879, 10873, 10866, 10864, 10863, 10861, 10860, 10859, 10858, 10856, 10855, 10853, 10852, 10851, 10850, 10849, 10848, 10847, 10846, 10845, 10844, 10842, 10841, 10840, 10839, 10838, 10837, 10836, 10835, 10834, 10833, 10822, 10821, 10820, 10819, 10818, 10817, 10816, 10813, 10812, 10811, 10809, 10808, 10807, 10806, 10805, 10804, 10803, 10802, 10801, 10800, 10799, 10797, 10796, 10795, 10794, 10793, 10792, 10791, 10788, 10787, 10769, 10767, 10765, 10764, 10763, 10762, 10706, 10705, 10703, 10702, 10701, 10700, 10699, 10698, 10697, 10696, 10695, 10693, 10692, 10691, 10690, 10682, 10681, 10680, 10673, 10672, 10670, 10669, 10668, 10667, 10666, 10664, 10663, 10662, 9054, 9044])).
% 1.60/1.77 tff(10914,plain,
% 1.60/1.77 (~m_main_v_state(s91, c_busy)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10355, 3154, 10913])).
% 1.60/1.77 tff(10915,assumption,(node2(s99, s91)), introduced(assumption)).
% 1.60/1.77 tff(10916,assumption,(~m_main_v_state(s91, c_busy)), introduced(assumption)).
% 1.60/1.77 tff(10917,plain,
% 1.60/1.77 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s91, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s91)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s91, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s91)))),
% 1.60/1.77 inference(rewrite,[status(thm)],[])).
% 1.60/1.77 tff(10918,plain,
% 1.60/1.77 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s91, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s91)))),
% 1.60/1.77 inference(rewrite,[status(thm)],[])).
% 1.60/1.77 tff(10919,plain,
% 1.60/1.77 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s91, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s91))))),
% 1.60/1.77 inference(monotonicity,[status(thm)],[10918])).
% 1.60/1.77 tff(10920,plain,
% 1.60/1.77 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s91, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s91)))),
% 1.60/1.77 inference(transitivity,[status(thm)],[10919, 10917])).
% 1.60/1.77 tff(10921,plain,
% 1.60/1.77 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s99)))),
% 1.60/1.77 inference(quant_inst,[status(thm)],[])).
% 1.60/1.77 tff(10922,plain,
% 1.60/1.77 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s91, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s91))),
% 1.60/1.77 inference(modus_ponens,[status(thm)],[10921, 10920])).
% 1.60/1.77 tff(10923,plain,
% 1.60/1.77 ($false),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10922, 3175, 10916, 10756, 9290, 10915])).
% 1.60/1.77 tff(10924,plain,((~node2(s99, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.60/1.77 tff(10925,plain,
% 1.60/1.77 (~node2(s99, s91)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10924, 10914, 10661])).
% 1.60/1.77 tff(10926,plain,
% 1.60/1.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s91)) | node2(s99, s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s91)) | node2(s99, s91))),
% 1.60/1.77 inference(rewrite,[status(thm)],[])).
% 1.60/1.77 tff(10927,plain,
% 1.60/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s91)) | node2(s99, s91))),
% 1.60/1.77 inference(quant_inst,[status(thm)],[])).
% 1.60/1.77 tff(10928,plain,
% 1.60/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s91)) | node2(s99, s91)),
% 1.60/1.77 inference(modus_ponens,[status(thm)],[10927, 10926])).
% 1.60/1.77 tff(10929,plain,
% 1.60/1.77 (~trans(s99, s91)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10928, 7, 10925])).
% 1.60/1.77 tff(10930,assumption,(~trans(s99, s91)), introduced(assumption)).
% 1.60/1.77 tff(10931,plain,
% 1.60/1.77 (~trans(s99, s90)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10905, 650])).
% 1.60/1.77 tff(10932,plain,
% 1.60/1.77 (~trans(s99, s89)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10907, 664])).
% 1.60/1.77 tff(10933,plain,
% 1.60/1.77 ($false),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10910, 10932, 10931, 10904, 9505, 9521, 10903, 10902, 8425, 9520, 8429, 10901, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 10896, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 9509, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9504, 9503, 9502, 9501, 8302, 8301, 9499, 10894, 8300, 9402, 9522, 9514, 8299, 8298, 8297, 9500, 8296, 10893, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 8273, 8428, 10888, 10887, 10886, 8272, 10885, 8260, 10884, 8228, 10883, 8229, 10930, 10880, 8227])).
% 1.60/1.77 tff(10934,plain,(always3(s90) | trans(s99, s93) | trans(s99, s96) | trans(s99, s83) | trans(s99, s74) | trans(s99, s87) | trans(s99, s33) | trans(s99, s52) | trans(s99, s46) | trans(s99, s86) | trans(s99, s6) | trans(s99, s79) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s98) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s81) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s80) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s99) | trans(s99, s36) | trans(s99, s92) | trans(s99, s95) | trans(s99, s97) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s94) | trans(s99, s34) | trans(s99, s82) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s77) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s9) | trans(s99, s61) | trans(s99, s85) | trans(s99, s67) | trans(s99, s19) | trans(s99, s54) | trans(s99, s41) | trans(s99, s84) | trans(s99, s48) | trans(s99, s58) | trans(s99, s39) | trans(s99, s91) | trans(s99, s88) | trans(s99, s15)), inference(lemma,lemma(discharge,[]))).
% 1.60/1.77 tff(10935,plain,
% 1.60/1.77 (always3(s90)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10934, 10879, 10873, 10866, 10864, 10863, 10861, 10860, 10859, 10858, 10856, 10855, 10853, 10852, 10851, 10850, 10849, 10848, 10847, 10846, 10845, 10844, 10842, 10841, 10840, 10839, 10838, 10837, 10836, 10835, 10834, 10833, 10822, 10821, 10820, 10819, 10818, 10817, 10816, 10813, 10812, 10811, 10809, 10808, 10807, 10806, 10805, 10804, 10803, 10802, 10801, 10800, 10799, 10797, 10796, 10795, 10794, 10793, 10792, 10791, 10788, 10787, 10769, 10767, 10765, 10764, 10763, 10762, 10706, 10705, 10703, 10702, 10701, 10700, 10699, 10698, 10697, 10696, 10695, 10693, 10692, 10691, 10690, 10682, 10681, 10680, 10673, 10672, 10670, 10669, 10668, 10667, 10666, 10664, 10663, 10662, 10929, 9054, 9044])).
% 1.60/1.77 tff(10936,plain,
% 1.60/1.77 (~m_main_v_state(s90, c_busy)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10582, 3154, 10935])).
% 1.60/1.77 tff(10937,assumption,(node2(s99, s90)), introduced(assumption)).
% 1.60/1.77 tff(10938,assumption,(~m_main_v_state(s90, c_busy)), introduced(assumption)).
% 1.60/1.77 tff(10939,plain,
% 1.60/1.77 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s90, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s90)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s90, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s90)))),
% 1.60/1.77 inference(rewrite,[status(thm)],[])).
% 1.60/1.77 tff(10940,plain,
% 1.60/1.77 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s90, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s90)))),
% 1.60/1.77 inference(rewrite,[status(thm)],[])).
% 1.60/1.77 tff(10941,plain,
% 1.60/1.77 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s90, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s90))))),
% 1.60/1.77 inference(monotonicity,[status(thm)],[10940])).
% 1.60/1.77 tff(10942,plain,
% 1.60/1.77 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s90, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s90)))),
% 1.60/1.77 inference(transitivity,[status(thm)],[10941, 10939])).
% 1.60/1.77 tff(10943,plain,
% 1.60/1.77 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s99)))),
% 1.60/1.77 inference(quant_inst,[status(thm)],[])).
% 1.60/1.77 tff(10944,plain,
% 1.60/1.77 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s90, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s90))),
% 1.60/1.77 inference(modus_ponens,[status(thm)],[10943, 10942])).
% 1.60/1.77 tff(10945,plain,
% 1.60/1.77 ($false),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10944, 3175, 10938, 10756, 9290, 10937])).
% 1.60/1.77 tff(10946,plain,((~node2(s99, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.60/1.77 tff(10947,plain,
% 1.60/1.77 (~node2(s99, s90)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10946, 10936, 10661])).
% 1.60/1.77 tff(10948,plain,
% 1.60/1.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s90)) | node2(s99, s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s90)) | node2(s99, s90))),
% 1.60/1.77 inference(rewrite,[status(thm)],[])).
% 1.60/1.77 tff(10949,plain,
% 1.60/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s90)) | node2(s99, s90))),
% 1.60/1.77 inference(quant_inst,[status(thm)],[])).
% 1.60/1.77 tff(10950,plain,
% 1.60/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s90)) | node2(s99, s90)),
% 1.60/1.77 inference(modus_ponens,[status(thm)],[10949, 10948])).
% 1.60/1.77 tff(10951,plain,
% 1.60/1.77 (~trans(s99, s90)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10950, 7, 10947])).
% 1.60/1.77 tff(10952,plain,
% 1.60/1.77 (trans(s99, s89)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10910, 10951, 10879, 10873, 10866, 10864, 10863, 10861, 10860, 10859, 10858, 10856, 10855, 10853, 10852, 10851, 10850, 10849, 10848, 10847, 10846, 10845, 10844, 10842, 10841, 10840, 10839, 10838, 10837, 10836, 10835, 10834, 10833, 10822, 10821, 10820, 10819, 10818, 10817, 10816, 10813, 10812, 10811, 10809, 10808, 10807, 10806, 10805, 10804, 10803, 10802, 10801, 10800, 10799, 10797, 10796, 10795, 10794, 10793, 10792, 10791, 10788, 10787, 10769, 10767, 10765, 10764, 10763, 10762, 10706, 10705, 10703, 10702, 10701, 10700, 10699, 10698, 10697, 10696, 10695, 10693, 10692, 10691, 10690, 10682, 10681, 10680, 10673, 10672, 10670, 10669, 10668, 10667, 10666, 10664, 10663, 10662, 10929, 9054, 9044])).
% 1.60/1.77 tff(10953,plain,
% 1.60/1.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s89)) | node2(s99, s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s89)) | node2(s99, s89))),
% 1.60/1.77 inference(rewrite,[status(thm)],[])).
% 1.60/1.77 tff(10954,plain,
% 1.60/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s89)) | node2(s99, s89))),
% 1.60/1.77 inference(quant_inst,[status(thm)],[])).
% 1.60/1.77 tff(10955,plain,
% 1.60/1.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s89)) | node2(s99, s89)),
% 1.60/1.77 inference(modus_ponens,[status(thm)],[10954, 10953])).
% 1.60/1.77 tff(10956,plain,
% 1.60/1.77 (node2(s99, s89)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10955, 10952, 7])).
% 1.60/1.77 tff(10957,plain,
% 1.60/1.77 (always3(s89)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10907, 10952])).
% 1.60/1.77 tff(10958,plain,
% 1.60/1.77 (~m_main_v_state(s89, c_busy)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10625, 3154, 10957])).
% 1.60/1.77 tff(10959,plain,
% 1.60/1.77 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s89, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s89)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s89, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s89)))),
% 1.60/1.77 inference(rewrite,[status(thm)],[])).
% 1.60/1.77 tff(10960,plain,
% 1.60/1.77 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s89, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s89)))),
% 1.60/1.77 inference(rewrite,[status(thm)],[])).
% 1.60/1.77 tff(10961,plain,
% 1.60/1.77 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s89, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s89))))),
% 1.60/1.77 inference(monotonicity,[status(thm)],[10960])).
% 1.60/1.77 tff(10962,plain,
% 1.60/1.77 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s89, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s89)))),
% 1.60/1.77 inference(transitivity,[status(thm)],[10961, 10959])).
% 1.60/1.77 tff(10963,plain,
% 1.60/1.77 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s99)))),
% 1.60/1.77 inference(quant_inst,[status(thm)],[])).
% 1.60/1.77 tff(10964,plain,
% 1.60/1.77 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s89, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s89))),
% 1.60/1.77 inference(modus_ponens,[status(thm)],[10963, 10962])).
% 1.60/1.77 tff(10965,plain,
% 1.60/1.77 ($false),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10964, 3175, 10958, 10756, 10661, 10956])).
% 1.60/1.77 tff(10966,plain,(always3(s88) | xuntil6(s99)), inference(lemma,lemma(discharge,[]))).
% 1.60/1.77 tff(10967,plain,
% 1.60/1.77 (always3(s88)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10966, 3001])).
% 1.60/1.77 tff(10968,plain,
% 1.60/1.77 (always3(s89)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[575, 10967])).
% 1.60/1.77 tff(10969,plain,
% 1.60/1.77 (always3(s90)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[563, 10968])).
% 1.60/1.77 tff(10970,plain,
% 1.60/1.77 (always3(s91)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[551, 10969])).
% 1.60/1.77 tff(10971,plain,
% 1.60/1.77 (~m_main_v_state(s91, c_busy)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10355, 3154, 10970])).
% 1.60/1.77 tff(10972,plain,
% 1.60/1.77 (~m_main_v_state(s90, c_busy)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10582, 3154, 10969])).
% 1.60/1.77 tff(10973,plain,
% 1.60/1.77 (~m_main_v_state(s89, c_busy)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[10625, 3154, 10968])).
% 1.60/1.77 tff(10974,plain,
% 1.60/1.77 (~always3(s82)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[856, 9469])).
% 1.60/1.77 tff(10975,plain,
% 1.60/1.77 (~always3(s81)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[885, 10974])).
% 1.60/1.77 tff(10976,plain,
% 1.60/1.77 (~always3(s80)),
% 1.60/1.77 inference(unit_resolution,[status(thm)],[914, 10975])).
% 1.60/1.77 tff(10977,plain,
% 1.60/1.77 (~always3(s79)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[943, 10976])).
% 1.60/1.78 tff(10978,plain,
% 1.60/1.78 (~always3(s78)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[972, 10977])).
% 1.60/1.78 tff(10979,plain,
% 1.60/1.78 (~always3(s77)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1001, 10978])).
% 1.60/1.78 tff(10980,plain,
% 1.60/1.78 (~always3(s76)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1030, 10979])).
% 1.60/1.78 tff(10981,plain,
% 1.60/1.78 (~always3(s75)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1059, 10980])).
% 1.60/1.78 tff(10982,plain,
% 1.60/1.78 (~always3(s74)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1088, 10981])).
% 1.60/1.78 tff(10983,plain,
% 1.60/1.78 (~always3(s73)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1117, 10982])).
% 1.60/1.78 tff(10984,plain,
% 1.60/1.78 (~always3(s72)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1146, 10983])).
% 1.60/1.78 tff(10985,plain,
% 1.60/1.78 (~always3(s71)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1175, 10984])).
% 1.60/1.78 tff(10986,plain,
% 1.60/1.78 (~always3(s70)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1204, 10985])).
% 1.60/1.78 tff(10987,plain,
% 1.60/1.78 (~always3(s69)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1233, 10986])).
% 1.60/1.78 tff(10988,plain,
% 1.60/1.78 (~always3(s68)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1262, 10987])).
% 1.60/1.78 tff(10989,plain,
% 1.60/1.78 (~always3(s67)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1291, 10988])).
% 1.60/1.78 tff(10990,plain,
% 1.60/1.78 (~always3(s66)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1320, 10989])).
% 1.60/1.78 tff(10991,plain,
% 1.60/1.78 (~always3(s65)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1349, 10990])).
% 1.60/1.78 tff(10992,plain,
% 1.60/1.78 (~always3(s64)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1378, 10991])).
% 1.60/1.78 tff(10993,plain,
% 1.60/1.78 (~always3(s63)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1407, 10992])).
% 1.60/1.78 tff(10994,plain,
% 1.60/1.78 (~always3(s62)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1431, 10993])).
% 1.60/1.78 tff(10995,plain,
% 1.60/1.78 (~always3(s61)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1443, 10994])).
% 1.60/1.78 tff(10996,plain,
% 1.60/1.78 (~always3(s60)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1455, 10995])).
% 1.60/1.78 tff(10997,plain,
% 1.60/1.78 (~always3(s59)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1467, 10996])).
% 1.60/1.78 tff(10998,plain,
% 1.60/1.78 (~always3(s58)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1479, 10997])).
% 1.60/1.78 tff(10999,plain,
% 1.60/1.78 (~always3(s57)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1491, 10998])).
% 1.60/1.78 tff(11000,plain,
% 1.60/1.78 (~always3(s56)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1503, 10999])).
% 1.60/1.78 tff(11001,plain,
% 1.60/1.78 (~always3(s55)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1515, 11000])).
% 1.60/1.78 tff(11002,plain,
% 1.60/1.78 (~always3(s54)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1527, 11001])).
% 1.60/1.78 tff(11003,plain,
% 1.60/1.78 (~always3(s53)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1539, 11002])).
% 1.60/1.78 tff(11004,plain,
% 1.60/1.78 (~always3(s52)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1551, 11003])).
% 1.60/1.78 tff(11005,plain,
% 1.60/1.78 (~always3(s51)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1563, 11004])).
% 1.60/1.78 tff(11006,plain,
% 1.60/1.78 (~always3(s50)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1575, 11005])).
% 1.60/1.78 tff(11007,plain,
% 1.60/1.78 (~always3(s49)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1587, 11006])).
% 1.60/1.78 tff(11008,plain,
% 1.60/1.78 (~always3(s48)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1599, 11007])).
% 1.60/1.78 tff(11009,plain,
% 1.60/1.78 (~always3(s47)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[54, 11008])).
% 1.60/1.78 tff(11010,plain,
% 1.60/1.78 (~always3(s46)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[66, 11009])).
% 1.60/1.78 tff(11011,plain,
% 1.60/1.78 (~always3(s45)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[78, 11010])).
% 1.60/1.78 tff(11012,plain,
% 1.60/1.78 (~always3(s44)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[90, 11011])).
% 1.60/1.78 tff(11013,plain,
% 1.60/1.78 (~always3(s43)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[102, 11012])).
% 1.60/1.78 tff(11014,plain,
% 1.60/1.78 (~always3(s42)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[114, 11013])).
% 1.60/1.78 tff(11015,plain,
% 1.60/1.78 (~always3(s41)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[126, 11014])).
% 1.60/1.78 tff(11016,plain,
% 1.60/1.78 (~always3(s40)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[138, 11015])).
% 1.60/1.78 tff(11017,plain,
% 1.60/1.78 (~always3(s39)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[150, 11016])).
% 1.60/1.78 tff(11018,plain,
% 1.60/1.78 (~always3(s38)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[162, 11017])).
% 1.60/1.78 tff(11019,plain,
% 1.60/1.78 (~always3(s37)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[174, 11018])).
% 1.60/1.78 tff(11020,plain,
% 1.60/1.78 (~always3(s36)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[186, 11019])).
% 1.60/1.78 tff(11021,plain,
% 1.60/1.78 (~always3(s35)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[198, 11020])).
% 1.60/1.78 tff(11022,plain,
% 1.60/1.78 (~always3(s34)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[210, 11021])).
% 1.60/1.78 tff(11023,plain,
% 1.60/1.78 (~always3(s33)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[222, 11022])).
% 1.60/1.78 tff(11024,plain,
% 1.60/1.78 (~always3(s32)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[234, 11023])).
% 1.60/1.78 tff(11025,plain,
% 1.60/1.78 (~always3(s31)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[246, 11024])).
% 1.60/1.78 tff(11026,plain,
% 1.60/1.78 (~always3(s30)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[258, 11025])).
% 1.60/1.78 tff(11027,plain,
% 1.60/1.78 (~always3(s29)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[270, 11026])).
% 1.60/1.78 tff(11028,plain,
% 1.60/1.78 (~always3(s28)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[282, 11027])).
% 1.60/1.78 tff(11029,plain,
% 1.60/1.78 (~always3(s27)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[294, 11028])).
% 1.60/1.78 tff(11030,plain,
% 1.60/1.78 (~always3(s26)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[306, 11029])).
% 1.60/1.78 tff(11031,plain,
% 1.60/1.78 (~always3(s25)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[318, 11030])).
% 1.60/1.78 tff(11032,plain,
% 1.60/1.78 (~always3(s24)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[330, 11031])).
% 1.60/1.78 tff(11033,plain,
% 1.60/1.78 (~always3(s23)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[342, 11032])).
% 1.60/1.78 tff(11034,plain,
% 1.60/1.78 (~always3(s22)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[354, 11033])).
% 1.60/1.78 tff(11035,plain,
% 1.60/1.78 (~always3(s21)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[366, 11034])).
% 1.60/1.78 tff(11036,plain,
% 1.60/1.78 (~always3(s20)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[378, 11035])).
% 1.60/1.78 tff(11037,plain,
% 1.60/1.78 (~always3(s19)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[390, 11036])).
% 1.60/1.78 tff(11038,plain,
% 1.60/1.78 (~always3(s18)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[402, 11037])).
% 1.60/1.78 tff(11039,plain,
% 1.60/1.78 (~always3(s17)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[414, 11038])).
% 1.60/1.78 tff(11040,plain,
% 1.60/1.78 (~always3(s16)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[426, 11039])).
% 1.60/1.78 tff(11041,plain,
% 1.60/1.78 (~always3(s15)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[438, 11040])).
% 1.60/1.78 tff(11042,plain,
% 1.60/1.78 (~trans(s99, s15)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[5943, 11041])).
% 1.60/1.78 tff(11043,plain,
% 1.60/1.78 (~node4(s38)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2466, 595, 11018])).
% 1.60/1.78 tff(11044,plain,
% 1.60/1.78 (~node4(s35)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1620, 595, 11021])).
% 1.60/1.78 tff(11045,plain,
% 1.60/1.78 (xuntil6(s34)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2415, 11022])).
% 1.60/1.78 tff(11046,plain,
% 1.60/1.78 (until5(s35)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2420, 11045])).
% 1.60/1.78 tff(11047,plain,
% 1.60/1.78 (xuntil6(s35) | node4(s35)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2427, 614, 11046])).
% 1.60/1.78 tff(11048,plain,
% 1.60/1.78 (xuntil6(s35)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11047, 11044])).
% 1.60/1.78 tff(11049,plain,
% 1.60/1.78 (until5(s36)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2433, 11048])).
% 1.60/1.78 tff(11050,plain,
% 1.60/1.78 (xuntil6(s37)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[8048, 11049])).
% 1.60/1.78 tff(11051,plain,
% 1.60/1.78 (until5(s38)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2462, 11050])).
% 1.60/1.78 tff(11052,plain,
% 1.60/1.78 (xuntil6(s38)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2473, 614, 11051, 11043])).
% 1.60/1.78 tff(11053,plain,
% 1.60/1.78 (until5(s39)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2479, 11052])).
% 1.60/1.78 tff(11054,plain,
% 1.60/1.78 (xuntil6(s43)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[8147, 11053, 11013])).
% 1.60/1.78 tff(11055,plain,
% 1.60/1.78 (until5(s44)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2564, 11054])).
% 1.60/1.78 tff(11056,plain,
% 1.60/1.78 (~node4(s44)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2568, 595, 11012])).
% 1.60/1.78 tff(11057,plain,
% 1.60/1.78 (xuntil6(s44) | (~until5(s44))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2575, 614, 11056])).
% 1.60/1.78 tff(11058,plain,
% 1.60/1.78 (xuntil6(s44)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11057, 11055])).
% 1.60/1.78 tff(11059,plain,
% 1.60/1.78 (until5(s45)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2581, 11058])).
% 1.60/1.78 tff(11060,plain,
% 1.60/1.78 (~node4(s45)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2585, 595, 11011])).
% 1.60/1.78 tff(11061,plain,
% 1.60/1.78 (xuntil6(s45) | (~until5(s45))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2592, 614, 11060])).
% 1.60/1.78 tff(11062,plain,
% 1.60/1.78 (xuntil6(s45)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11061, 11059])).
% 1.60/1.78 tff(11063,plain,
% 1.60/1.78 (until5(s46)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2598, 11062])).
% 1.60/1.78 tff(11064,plain,
% 1.60/1.78 (~node4(s46)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2602, 595, 11010])).
% 1.60/1.78 tff(11065,plain,
% 1.60/1.78 (xuntil6(s46) | (~until5(s46))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2609, 614, 11064])).
% 1.60/1.78 tff(11066,plain,
% 1.60/1.78 (xuntil6(s46)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11065, 11063])).
% 1.60/1.78 tff(11067,plain,
% 1.60/1.78 (until5(s47)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2615, 11066])).
% 1.60/1.78 tff(11068,plain,
% 1.60/1.78 (~node4(s47)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2619, 595, 11009])).
% 1.60/1.78 tff(11069,plain,
% 1.60/1.78 (xuntil6(s47) | (~until5(s47))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2626, 614, 11068])).
% 1.60/1.78 tff(11070,plain,
% 1.60/1.78 (xuntil6(s47)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11069, 11067])).
% 1.60/1.78 tff(11071,plain,
% 1.60/1.78 (until5(s48)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2632, 11070])).
% 1.60/1.78 tff(11072,plain,
% 1.60/1.78 (~node4(s48)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2636, 595, 11008])).
% 1.60/1.78 tff(11073,plain,
% 1.60/1.78 (xuntil6(s48) | (~until5(s48))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2643, 614, 11072])).
% 1.60/1.78 tff(11074,plain,
% 1.60/1.78 (xuntil6(s48)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11073, 11071])).
% 1.60/1.78 tff(11075,plain,
% 1.60/1.78 (until5(s49)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2649, 11074])).
% 1.60/1.78 tff(11076,plain,
% 1.60/1.78 (~node4(s49)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2653, 595, 11007])).
% 1.60/1.78 tff(11077,plain,
% 1.60/1.78 (xuntil6(s49) | (~until5(s49))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2660, 614, 11076])).
% 1.60/1.78 tff(11078,plain,
% 1.60/1.78 (xuntil6(s49)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11077, 11075])).
% 1.60/1.78 tff(11079,plain,
% 1.60/1.78 (until5(s50)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2666, 11078])).
% 1.60/1.78 tff(11080,plain,
% 1.60/1.78 (~node4(s50)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2670, 595, 11006])).
% 1.60/1.78 tff(11081,plain,
% 1.60/1.78 (xuntil6(s50) | (~until5(s50))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2677, 614, 11080])).
% 1.60/1.78 tff(11082,plain,
% 1.60/1.78 (xuntil6(s50)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11081, 11079])).
% 1.60/1.78 tff(11083,plain,
% 1.60/1.78 (until5(s51)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2683, 11082])).
% 1.60/1.78 tff(11084,plain,
% 1.60/1.78 (~node4(s51)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2687, 595, 11005])).
% 1.60/1.78 tff(11085,plain,
% 1.60/1.78 (xuntil6(s51) | (~until5(s51))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2694, 614, 11084])).
% 1.60/1.78 tff(11086,plain,
% 1.60/1.78 (xuntil6(s51)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11085, 11083])).
% 1.60/1.78 tff(11087,plain,
% 1.60/1.78 (until5(s52)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2700, 11086])).
% 1.60/1.78 tff(11088,plain,
% 1.60/1.78 (~node4(s52)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2704, 595, 11004])).
% 1.60/1.78 tff(11089,plain,
% 1.60/1.78 (xuntil6(s52) | (~until5(s52))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2711, 614, 11088])).
% 1.60/1.78 tff(11090,plain,
% 1.60/1.78 (xuntil6(s52)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11089, 11087])).
% 1.60/1.78 tff(11091,plain,
% 1.60/1.78 (until5(s53)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2717, 11090])).
% 1.60/1.78 tff(11092,plain,
% 1.60/1.78 (~node4(s53)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2721, 595, 11003])).
% 1.60/1.78 tff(11093,plain,
% 1.60/1.78 (xuntil6(s53) | (~until5(s53))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2728, 614, 11092])).
% 1.60/1.78 tff(11094,plain,
% 1.60/1.78 (xuntil6(s53)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11093, 11091])).
% 1.60/1.78 tff(11095,plain,
% 1.60/1.78 (until5(s54)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2734, 11094])).
% 1.60/1.78 tff(11096,plain,
% 1.60/1.78 (~node4(s54)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2738, 595, 11002])).
% 1.60/1.78 tff(11097,plain,
% 1.60/1.78 (xuntil6(s54) | (~until5(s54))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2745, 614, 11096])).
% 1.60/1.78 tff(11098,plain,
% 1.60/1.78 (xuntil6(s54)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11097, 11095])).
% 1.60/1.78 tff(11099,plain,
% 1.60/1.78 (until5(s55)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2751, 11098])).
% 1.60/1.78 tff(11100,plain,
% 1.60/1.78 (~node4(s55)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2755, 595, 11001])).
% 1.60/1.78 tff(11101,plain,
% 1.60/1.78 (xuntil6(s55) | (~until5(s55))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2762, 614, 11100])).
% 1.60/1.78 tff(11102,plain,
% 1.60/1.78 (xuntil6(s55)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11101, 11099])).
% 1.60/1.78 tff(11103,plain,
% 1.60/1.78 (until5(s56)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2768, 11102])).
% 1.60/1.78 tff(11104,plain,
% 1.60/1.78 (~node4(s56)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2772, 595, 11000])).
% 1.60/1.78 tff(11105,plain,
% 1.60/1.78 (xuntil6(s56) | (~until5(s56))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2779, 614, 11104])).
% 1.60/1.78 tff(11106,plain,
% 1.60/1.78 (xuntil6(s56)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11105, 11103])).
% 1.60/1.78 tff(11107,plain,
% 1.60/1.78 (until5(s57)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2785, 11106])).
% 1.60/1.78 tff(11108,plain,
% 1.60/1.78 (~node4(s57)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2789, 595, 10999])).
% 1.60/1.78 tff(11109,plain,
% 1.60/1.78 (xuntil6(s57) | (~until5(s57))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2796, 614, 11108])).
% 1.60/1.78 tff(11110,plain,
% 1.60/1.78 (xuntil6(s57)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11109, 11107])).
% 1.60/1.78 tff(11111,plain,
% 1.60/1.78 (until5(s58)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2802, 11110])).
% 1.60/1.78 tff(11112,plain,
% 1.60/1.78 (~node4(s58)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2806, 595, 10998])).
% 1.60/1.78 tff(11113,plain,
% 1.60/1.78 (xuntil6(s58) | (~until5(s58))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2813, 614, 11112])).
% 1.60/1.78 tff(11114,plain,
% 1.60/1.78 (xuntil6(s58)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11113, 11111])).
% 1.60/1.78 tff(11115,plain,
% 1.60/1.78 (until5(s59)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2819, 11114])).
% 1.60/1.78 tff(11116,plain,
% 1.60/1.78 (~node4(s59)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2823, 595, 10997])).
% 1.60/1.78 tff(11117,plain,
% 1.60/1.78 (xuntil6(s59) | (~until5(s59))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2830, 614, 11116])).
% 1.60/1.78 tff(11118,plain,
% 1.60/1.78 (xuntil6(s59)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11117, 11115])).
% 1.60/1.78 tff(11119,plain,
% 1.60/1.78 (until5(s60)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2836, 11118])).
% 1.60/1.78 tff(11120,plain,
% 1.60/1.78 (~node4(s60)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2840, 595, 10996])).
% 1.60/1.78 tff(11121,plain,
% 1.60/1.78 (xuntil6(s60) | (~until5(s60))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2847, 614, 11120])).
% 1.60/1.78 tff(11122,plain,
% 1.60/1.78 (xuntil6(s60)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11121, 11119])).
% 1.60/1.78 tff(11123,plain,
% 1.60/1.78 (until5(s61)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2853, 11122])).
% 1.60/1.78 tff(11124,plain,
% 1.60/1.78 (~node4(s61)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2857, 595, 10995])).
% 1.60/1.78 tff(11125,plain,
% 1.60/1.78 (xuntil6(s61) | (~until5(s61))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2864, 614, 11124])).
% 1.60/1.78 tff(11126,plain,
% 1.60/1.78 (xuntil6(s61)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11125, 11123])).
% 1.60/1.78 tff(11127,plain,
% 1.60/1.78 (until5(s62)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2870, 11126])).
% 1.60/1.78 tff(11128,plain,
% 1.60/1.78 (~node4(s62)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2874, 595, 10994])).
% 1.60/1.78 tff(11129,plain,
% 1.60/1.78 (xuntil6(s62) | (~until5(s62))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2881, 614, 11128])).
% 1.60/1.78 tff(11130,plain,
% 1.60/1.78 (xuntil6(s62)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11129, 11127])).
% 1.60/1.78 tff(11131,plain,
% 1.60/1.78 (until5(s63)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[2887, 11130])).
% 1.60/1.78 tff(11132,plain,
% 1.60/1.78 (~node4(s63)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1411, 595, 10993])).
% 1.60/1.78 tff(11133,plain,
% 1.60/1.78 (xuntil6(s63) | (~until5(s63))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1418, 614, 11132])).
% 1.60/1.78 tff(11134,plain,
% 1.60/1.78 (xuntil6(s63)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11133, 11131])).
% 1.60/1.78 tff(11135,plain,
% 1.60/1.78 (until5(s64)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1398, 11134])).
% 1.60/1.78 tff(11136,plain,
% 1.60/1.78 (~node4(s64)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1382, 595, 10992])).
% 1.60/1.78 tff(11137,plain,
% 1.60/1.78 (xuntil6(s64) | (~until5(s64))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1389, 614, 11136])).
% 1.60/1.78 tff(11138,plain,
% 1.60/1.78 (xuntil6(s64)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11137, 11135])).
% 1.60/1.78 tff(11139,plain,
% 1.60/1.78 (until5(s65)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1369, 11138])).
% 1.60/1.78 tff(11140,plain,
% 1.60/1.78 (~node4(s65)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1353, 595, 10991])).
% 1.60/1.78 tff(11141,plain,
% 1.60/1.78 (xuntil6(s65) | (~until5(s65))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1360, 614, 11140])).
% 1.60/1.78 tff(11142,plain,
% 1.60/1.78 (xuntil6(s65)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11141, 11139])).
% 1.60/1.78 tff(11143,plain,
% 1.60/1.78 (until5(s66)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1340, 11142])).
% 1.60/1.78 tff(11144,plain,
% 1.60/1.78 (~node4(s66)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1324, 595, 10990])).
% 1.60/1.78 tff(11145,plain,
% 1.60/1.78 (xuntil6(s66) | (~until5(s66))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1331, 614, 11144])).
% 1.60/1.78 tff(11146,plain,
% 1.60/1.78 (xuntil6(s66)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11145, 11143])).
% 1.60/1.78 tff(11147,plain,
% 1.60/1.78 (until5(s67)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1311, 11146])).
% 1.60/1.78 tff(11148,plain,
% 1.60/1.78 (~node4(s67)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1295, 595, 10989])).
% 1.60/1.78 tff(11149,plain,
% 1.60/1.78 (xuntil6(s67) | (~until5(s67))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1302, 614, 11148])).
% 1.60/1.78 tff(11150,plain,
% 1.60/1.78 (xuntil6(s67)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11149, 11147])).
% 1.60/1.78 tff(11151,plain,
% 1.60/1.78 (until5(s68)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1282, 11150])).
% 1.60/1.78 tff(11152,plain,
% 1.60/1.78 (~node4(s68)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1266, 595, 10988])).
% 1.60/1.78 tff(11153,plain,
% 1.60/1.78 (xuntil6(s68) | (~until5(s68))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1273, 614, 11152])).
% 1.60/1.78 tff(11154,plain,
% 1.60/1.78 (xuntil6(s68)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[11153, 11151])).
% 1.60/1.78 tff(11155,plain,
% 1.60/1.78 (until5(s69)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1253, 11154])).
% 1.60/1.78 tff(11156,plain,
% 1.60/1.78 (~node4(s69)),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1237, 595, 10987])).
% 1.60/1.78 tff(11157,plain,
% 1.60/1.78 (xuntil6(s69) | (~until5(s69))),
% 1.60/1.78 inference(unit_resolution,[status(thm)],[1244, 614, 11156])).
% 1.61/1.78 tff(11158,plain,
% 1.61/1.78 (xuntil6(s69)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11157, 11155])).
% 1.61/1.78 tff(11159,plain,
% 1.61/1.78 (until5(s70)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1224, 11158])).
% 1.61/1.78 tff(11160,plain,
% 1.61/1.78 (~node4(s70)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1208, 595, 10986])).
% 1.61/1.78 tff(11161,plain,
% 1.61/1.78 (xuntil6(s70) | (~until5(s70))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1215, 614, 11160])).
% 1.61/1.78 tff(11162,plain,
% 1.61/1.78 (xuntil6(s70)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11161, 11159])).
% 1.61/1.78 tff(11163,plain,
% 1.61/1.78 (until5(s71)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1195, 11162])).
% 1.61/1.78 tff(11164,plain,
% 1.61/1.78 (~node4(s71)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1179, 595, 10985])).
% 1.61/1.78 tff(11165,plain,
% 1.61/1.78 (xuntil6(s71) | (~until5(s71))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1186, 614, 11164])).
% 1.61/1.78 tff(11166,plain,
% 1.61/1.78 (xuntil6(s71)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11165, 11163])).
% 1.61/1.78 tff(11167,plain,
% 1.61/1.78 (until5(s72)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1166, 11166])).
% 1.61/1.78 tff(11168,plain,
% 1.61/1.78 (~node4(s72)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1150, 595, 10984])).
% 1.61/1.78 tff(11169,plain,
% 1.61/1.78 (xuntil6(s72) | (~until5(s72))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1157, 614, 11168])).
% 1.61/1.78 tff(11170,plain,
% 1.61/1.78 (xuntil6(s72)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11169, 11167])).
% 1.61/1.78 tff(11171,plain,
% 1.61/1.78 (until5(s73)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1137, 11170])).
% 1.61/1.78 tff(11172,plain,
% 1.61/1.78 (~node4(s73)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1121, 595, 10983])).
% 1.61/1.78 tff(11173,plain,
% 1.61/1.78 (xuntil6(s73) | (~until5(s73))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1128, 614, 11172])).
% 1.61/1.78 tff(11174,plain,
% 1.61/1.78 (xuntil6(s73)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11173, 11171])).
% 1.61/1.78 tff(11175,plain,
% 1.61/1.78 (until5(s74)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1108, 11174])).
% 1.61/1.78 tff(11176,plain,
% 1.61/1.78 (~node4(s74)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1092, 595, 10982])).
% 1.61/1.78 tff(11177,plain,
% 1.61/1.78 (xuntil6(s74) | (~until5(s74))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1099, 614, 11176])).
% 1.61/1.78 tff(11178,plain,
% 1.61/1.78 (xuntil6(s74)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11177, 11175])).
% 1.61/1.78 tff(11179,plain,
% 1.61/1.78 (until5(s75)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1079, 11178])).
% 1.61/1.78 tff(11180,plain,
% 1.61/1.78 (~node4(s75)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1063, 595, 10981])).
% 1.61/1.78 tff(11181,plain,
% 1.61/1.78 (xuntil6(s75) | (~until5(s75))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1070, 614, 11180])).
% 1.61/1.78 tff(11182,plain,
% 1.61/1.78 (xuntil6(s75)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11181, 11179])).
% 1.61/1.78 tff(11183,plain,
% 1.61/1.78 (until5(s76)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1050, 11182])).
% 1.61/1.78 tff(11184,plain,
% 1.61/1.78 (~node4(s76)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1034, 595, 10980])).
% 1.61/1.78 tff(11185,plain,
% 1.61/1.78 (xuntil6(s76) | (~until5(s76))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1041, 614, 11184])).
% 1.61/1.78 tff(11186,plain,
% 1.61/1.78 (xuntil6(s76)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11185, 11183])).
% 1.61/1.78 tff(11187,plain,
% 1.61/1.78 (until5(s77)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1021, 11186])).
% 1.61/1.78 tff(11188,plain,
% 1.61/1.78 (~node4(s77)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1005, 595, 10979])).
% 1.61/1.78 tff(11189,plain,
% 1.61/1.78 (xuntil6(s77) | (~until5(s77))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[1012, 614, 11188])).
% 1.61/1.78 tff(11190,plain,
% 1.61/1.78 (xuntil6(s77)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11189, 11187])).
% 1.61/1.78 tff(11191,plain,
% 1.61/1.78 (until5(s78)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[992, 11190])).
% 1.61/1.78 tff(11192,plain,
% 1.61/1.78 (~node4(s78)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[976, 595, 10978])).
% 1.61/1.78 tff(11193,plain,
% 1.61/1.78 (xuntil6(s78) | (~until5(s78))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[983, 614, 11192])).
% 1.61/1.78 tff(11194,plain,
% 1.61/1.78 (xuntil6(s78)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11193, 11191])).
% 1.61/1.78 tff(11195,plain,
% 1.61/1.78 (until5(s79)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[963, 11194])).
% 1.61/1.78 tff(11196,plain,
% 1.61/1.78 (~node4(s79)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[947, 595, 10977])).
% 1.61/1.78 tff(11197,plain,
% 1.61/1.78 (xuntil6(s79) | (~until5(s79))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[954, 614, 11196])).
% 1.61/1.78 tff(11198,plain,
% 1.61/1.78 (xuntil6(s79)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11197, 11195])).
% 1.61/1.78 tff(11199,plain,
% 1.61/1.78 (until5(s80)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[934, 11198])).
% 1.61/1.78 tff(11200,plain,
% 1.61/1.78 (~node4(s80)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[918, 595, 10976])).
% 1.61/1.78 tff(11201,plain,
% 1.61/1.78 (xuntil6(s80) | (~until5(s80))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[925, 614, 11200])).
% 1.61/1.78 tff(11202,plain,
% 1.61/1.78 (xuntil6(s80)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11201, 11199])).
% 1.61/1.78 tff(11203,plain,
% 1.61/1.78 (until5(s81)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[905, 11202])).
% 1.61/1.78 tff(11204,plain,
% 1.61/1.78 (~node4(s81)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[889, 595, 10975])).
% 1.61/1.78 tff(11205,plain,
% 1.61/1.78 (xuntil6(s81) | (~until5(s81))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[896, 614, 11204])).
% 1.61/1.78 tff(11206,plain,
% 1.61/1.78 (xuntil6(s81)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11205, 11203])).
% 1.61/1.78 tff(11207,plain,
% 1.61/1.78 (until5(s82)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[876, 11206])).
% 1.61/1.78 tff(11208,assumption,(node4(s82)), introduced(assumption)).
% 1.61/1.78 tff(11209,plain,
% 1.61/1.78 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s82) | (~node4(s82)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s82) | (~node4(s82)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11210,plain,
% 1.61/1.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s82) | (~node4(s82)))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11211,plain,
% 1.61/1.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s82) | (~node4(s82))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11210, 11209])).
% 1.61/1.78 tff(11212,plain,
% 1.61/1.78 (m_main_v_request(s82)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11211, 3141, 11208])).
% 1.61/1.78 tff(11213,plain,
% 1.61/1.78 (always3(s82)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[860, 595, 11208])).
% 1.61/1.78 tff(11214,plain,
% 1.61/1.78 (always3(s83)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[856, 11213])).
% 1.61/1.78 tff(11215,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s83)) | (~m_main_v_state(s83, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s83)) | (~m_main_v_state(s83, c_busy)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11216,plain,
% 1.61/1.78 (((~m_main_v_state(s83, c_busy)) | (~always3(s83))) <=> ((~always3(s83)) | (~m_main_v_state(s83, c_busy)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11217,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s83, c_busy)) | (~always3(s83)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s83)) | (~m_main_v_state(s83, c_busy))))),
% 1.61/1.78 inference(monotonicity,[status(thm)],[11216])).
% 1.61/1.78 tff(11218,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s83, c_busy)) | (~always3(s83)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s83)) | (~m_main_v_state(s83, c_busy)))),
% 1.61/1.78 inference(transitivity,[status(thm)],[11217, 11215])).
% 1.61/1.78 tff(11219,plain,
% 1.61/1.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s83, c_busy)) | (~always3(s83)))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11220,plain,
% 1.61/1.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s83)) | (~m_main_v_state(s83, c_busy))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11219, 11218])).
% 1.61/1.78 tff(11221,plain,
% 1.61/1.78 (~m_main_v_state(s83, c_busy)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11220, 3154, 11214])).
% 1.61/1.78 tff(11222,plain,
% 1.61/1.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s82, s83)) | node2(s82, s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s82, s83)) | node2(s82, s83))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11223,plain,
% 1.61/1.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s82, s83)) | node2(s82, s83))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11224,plain,
% 1.61/1.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s82, s83)) | node2(s82, s83)),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11223, 11222])).
% 1.61/1.78 tff(11225,plain,
% 1.61/1.78 (node2(s82, s83)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11224, 7, 852])).
% 1.61/1.78 tff(11226,plain,
% 1.61/1.78 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s82, c_ready)) | (~node2(s82, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s82)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s82, c_ready)) | (~node2(s82, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s82)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11227,plain,
% 1.61/1.78 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s82, c_ready)) | (~node2(s82, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s82)))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11228,plain,
% 1.61/1.78 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s82, c_ready)) | (~node2(s82, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s82))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11227, 11226])).
% 1.61/1.78 tff(11229,plain,
% 1.61/1.78 ((~m_main_v_state(s82, c_ready)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s82))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11228, 3175, 11225])).
% 1.61/1.78 tff(11230,plain,
% 1.61/1.78 (~m_main_v_state(s82, c_ready)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11229, 11221, 11212])).
% 1.61/1.78 tff(11231,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s82)) | (~m_main_v_state(s82, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s82)) | (~m_main_v_state(s82, c_busy)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11232,plain,
% 1.61/1.78 (((~m_main_v_state(s82, c_busy)) | (~always3(s82))) <=> ((~always3(s82)) | (~m_main_v_state(s82, c_busy)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11233,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s82, c_busy)) | (~always3(s82)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s82)) | (~m_main_v_state(s82, c_busy))))),
% 1.61/1.78 inference(monotonicity,[status(thm)],[11232])).
% 1.61/1.78 tff(11234,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s82, c_busy)) | (~always3(s82)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s82)) | (~m_main_v_state(s82, c_busy)))),
% 1.61/1.78 inference(transitivity,[status(thm)],[11233, 11231])).
% 1.61/1.78 tff(11235,plain,
% 1.61/1.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s82, c_busy)) | (~always3(s82)))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11236,plain,
% 1.61/1.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s82)) | (~m_main_v_state(s82, c_busy))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11235, 11234])).
% 1.61/1.78 tff(11237,plain,
% 1.61/1.78 (~m_main_v_state(s82, c_busy)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11236, 3154, 11213])).
% 1.61/1.78 tff(11238,plain,
% 1.61/1.78 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s82, c_busy) | m_main_v_state(s82, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s82, c_busy) | m_main_v_state(s82, c_ready))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11239,plain,
% 1.61/1.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s82, c_busy) | m_main_v_state(s82, c_ready))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11240,plain,
% 1.61/1.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s82, c_busy) | m_main_v_state(s82, c_ready)),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11239, 11238])).
% 1.61/1.78 tff(11241,plain,
% 1.61/1.78 ($false),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11240, 19, 11237, 11230])).
% 1.61/1.78 tff(11242,plain,(~node4(s82)), inference(lemma,lemma(discharge,[]))).
% 1.61/1.78 tff(11243,plain,
% 1.61/1.78 (xuntil6(s82) | (~until5(s82))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[867, 614, 11242])).
% 1.61/1.78 tff(11244,plain,
% 1.61/1.78 (xuntil6(s82)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11243, 11207])).
% 1.61/1.78 tff(11245,plain,
% 1.61/1.78 (until5(s83)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[847, 11244])).
% 1.61/1.78 tff(11246,plain,
% 1.61/1.78 (~node4(s83)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[831, 595, 9469])).
% 1.61/1.78 tff(11247,plain,
% 1.61/1.78 (xuntil6(s83) | (~until5(s83))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[838, 614, 11246])).
% 1.61/1.78 tff(11248,plain,
% 1.61/1.78 (xuntil6(s83)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11247, 11245])).
% 1.61/1.78 tff(11249,plain,
% 1.61/1.78 (until5(s84)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[818, 11248])).
% 1.61/1.78 tff(11250,plain,
% 1.61/1.78 (always3(s85)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[9929, 9685])).
% 1.61/1.78 tff(11251,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s85)) | (~m_main_v_state(s85, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s85)) | (~m_main_v_state(s85, c_busy)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11252,plain,
% 1.61/1.78 (((~m_main_v_state(s85, c_busy)) | (~always3(s85))) <=> ((~always3(s85)) | (~m_main_v_state(s85, c_busy)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11253,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s85, c_busy)) | (~always3(s85)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s85)) | (~m_main_v_state(s85, c_busy))))),
% 1.61/1.78 inference(monotonicity,[status(thm)],[11252])).
% 1.61/1.78 tff(11254,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s85, c_busy)) | (~always3(s85)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s85)) | (~m_main_v_state(s85, c_busy)))),
% 1.61/1.78 inference(transitivity,[status(thm)],[11253, 11251])).
% 1.61/1.78 tff(11255,plain,
% 1.61/1.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s85, c_busy)) | (~always3(s85)))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11256,plain,
% 1.61/1.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s85)) | (~m_main_v_state(s85, c_busy))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11255, 11254])).
% 1.61/1.78 tff(11257,plain,
% 1.61/1.78 (~m_main_v_state(s85, c_busy)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11256, 3154, 11250])).
% 1.61/1.78 tff(11258,plain,
% 1.61/1.78 (always3(s86)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[769, 11250])).
% 1.61/1.78 tff(11259,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s86)) | (~m_main_v_state(s86, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s86)) | (~m_main_v_state(s86, c_busy)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11260,plain,
% 1.61/1.78 (((~m_main_v_state(s86, c_busy)) | (~always3(s86))) <=> ((~always3(s86)) | (~m_main_v_state(s86, c_busy)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11261,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s86, c_busy)) | (~always3(s86)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s86)) | (~m_main_v_state(s86, c_busy))))),
% 1.61/1.78 inference(monotonicity,[status(thm)],[11260])).
% 1.61/1.78 tff(11262,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s86, c_busy)) | (~always3(s86)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s86)) | (~m_main_v_state(s86, c_busy)))),
% 1.61/1.78 inference(transitivity,[status(thm)],[11261, 11259])).
% 1.61/1.78 tff(11263,plain,
% 1.61/1.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s86, c_busy)) | (~always3(s86)))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11264,plain,
% 1.61/1.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s86)) | (~m_main_v_state(s86, c_busy))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11263, 11262])).
% 1.61/1.78 tff(11265,plain,
% 1.61/1.78 (~m_main_v_state(s86, c_busy)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11264, 3154, 11258])).
% 1.61/1.78 tff(11266,plain,
% 1.61/1.78 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s85, c_busy) | m_main_v_state(s85, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s85, c_busy) | m_main_v_state(s85, c_ready))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11267,plain,
% 1.61/1.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s85, c_busy) | m_main_v_state(s85, c_ready))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11268,plain,
% 1.61/1.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s85, c_busy) | m_main_v_state(s85, c_ready)),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11267, 11266])).
% 1.61/1.78 tff(11269,plain,
% 1.61/1.78 (m_main_v_state(s85, c_ready)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11268, 19, 11257])).
% 1.61/1.78 tff(11270,plain,
% 1.61/1.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s85, s86)) | node2(s85, s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s85, s86)) | node2(s85, s86))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11271,plain,
% 1.61/1.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s85, s86)) | node2(s85, s86))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11272,plain,
% 1.61/1.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s85, s86)) | node2(s85, s86)),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11271, 11270])).
% 1.61/1.78 tff(11273,plain,
% 1.61/1.78 (node2(s85, s86)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11272, 7, 765])).
% 1.61/1.78 tff(11274,plain,
% 1.61/1.78 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s85, c_ready)) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s85, c_ready)) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11275,plain,
% 1.61/1.78 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s85, c_ready)) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85)))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11276,plain,
% 1.61/1.78 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s85, c_ready)) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11275, 11274])).
% 1.61/1.78 tff(11277,plain,
% 1.61/1.78 ((~m_main_v_state(s85, c_ready)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s85))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11276, 3175, 11273])).
% 1.61/1.78 tff(11278,plain,
% 1.61/1.78 (~m_main_v_request(s85)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11277, 11269, 11265])).
% 1.61/1.78 tff(11279,plain,
% 1.61/1.78 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s85) | (~node4(s85)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s85) | (~node4(s85)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11280,plain,
% 1.61/1.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s85) | (~node4(s85)))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11281,plain,
% 1.61/1.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s85) | (~node4(s85))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11280, 11279])).
% 1.61/1.78 tff(11282,plain,
% 1.61/1.78 (~node4(s85)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11281, 3141, 11278])).
% 1.61/1.78 tff(11283,plain,
% 1.61/1.78 (~until5(s85)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[9686, 11282])).
% 1.61/1.78 tff(11284,plain,
% 1.61/1.78 (~xuntil6(s84)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[789, 11283])).
% 1.61/1.78 tff(11285,assumption,(until5(s84)), introduced(assumption)).
% 1.61/1.78 tff(11286,plain,
% 1.61/1.78 (xuntil6(s84) | node4(s84)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[809, 614, 11285])).
% 1.61/1.78 tff(11287,plain,
% 1.61/1.78 (node4(s84)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11286, 11284])).
% 1.61/1.78 tff(11288,plain,
% 1.61/1.78 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s84) | (~node4(s84)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s84) | (~node4(s84)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11289,plain,
% 1.61/1.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s84) | (~node4(s84)))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11290,plain,
% 1.61/1.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s84) | (~node4(s84))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11289, 11288])).
% 1.61/1.78 tff(11291,plain,
% 1.61/1.78 (m_main_v_request(s84)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11290, 3141, 11287])).
% 1.61/1.78 tff(11292,plain,
% 1.61/1.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s84, s85)) | node2(s84, s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s84, s85)) | node2(s84, s85))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11293,plain,
% 1.61/1.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s84, s85)) | node2(s84, s85))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11294,plain,
% 1.61/1.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s84, s85)) | node2(s84, s85)),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11293, 11292])).
% 1.61/1.78 tff(11295,plain,
% 1.61/1.78 (node2(s84, s85)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11294, 7, 794])).
% 1.61/1.78 tff(11296,plain,
% 1.61/1.78 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s84, c_ready)) | (~node2(s84, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s84, c_ready)) | (~node2(s84, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11297,plain,
% 1.61/1.78 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s84, c_ready)) | (~node2(s84, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84)))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11298,plain,
% 1.61/1.78 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s84, c_ready)) | (~node2(s84, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11297, 11296])).
% 1.61/1.78 tff(11299,plain,
% 1.61/1.78 ((~m_main_v_state(s84, c_ready)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s84))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11298, 3175, 11295])).
% 1.61/1.78 tff(11300,plain,
% 1.61/1.78 (~m_main_v_state(s84, c_ready)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11299, 11291, 11257])).
% 1.61/1.78 tff(11301,assumption,(until5(s82)), introduced(assumption)).
% 1.61/1.78 tff(11302,plain,
% 1.61/1.78 (~always3(s83)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[827, 9561])).
% 1.61/1.78 tff(11303,plain,
% 1.61/1.78 (~node4(s83)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[831, 595, 11302])).
% 1.61/1.78 tff(11304,plain,
% 1.61/1.78 (~always3(s82)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[856, 11302])).
% 1.61/1.78 tff(11305,plain,
% 1.61/1.78 (~node4(s82)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[860, 595, 11304])).
% 1.61/1.78 tff(11306,plain,
% 1.61/1.78 (xuntil6(s82) | node4(s82)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[867, 614, 11301])).
% 1.61/1.78 tff(11307,plain,
% 1.61/1.78 (xuntil6(s82)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11306, 11305])).
% 1.61/1.78 tff(11308,plain,
% 1.61/1.78 (until5(s83)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[847, 11307])).
% 1.61/1.78 tff(11309,plain,
% 1.61/1.78 (xuntil6(s83)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[838, 614, 11308, 11303])).
% 1.61/1.78 tff(11310,plain,
% 1.61/1.78 (until5(s84)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[818, 11309])).
% 1.61/1.78 tff(11311,assumption,(~xuntil6(s84)), introduced(assumption)).
% 1.61/1.78 tff(11312,plain,
% 1.61/1.78 (node4(s84) | (~until5(s84))),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[809, 614, 11311])).
% 1.61/1.78 tff(11313,plain,
% 1.61/1.78 (node4(s84)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11312, 11310])).
% 1.61/1.78 tff(11314,plain,
% 1.61/1.78 ($false),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[802, 595, 9561, 11313])).
% 1.61/1.78 tff(11315,plain,(always3(s84) | xuntil6(s84) | (~until5(s82))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.78 tff(11316,plain,
% 1.61/1.78 (always3(s84)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11315, 11284, 11301])).
% 1.61/1.78 tff(11317,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s84)) | (~m_main_v_state(s84, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s84)) | (~m_main_v_state(s84, c_busy)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11318,plain,
% 1.61/1.78 (((~m_main_v_state(s84, c_busy)) | (~always3(s84))) <=> ((~always3(s84)) | (~m_main_v_state(s84, c_busy)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11319,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s84, c_busy)) | (~always3(s84)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s84)) | (~m_main_v_state(s84, c_busy))))),
% 1.61/1.78 inference(monotonicity,[status(thm)],[11318])).
% 1.61/1.78 tff(11320,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s84, c_busy)) | (~always3(s84)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s84)) | (~m_main_v_state(s84, c_busy)))),
% 1.61/1.78 inference(transitivity,[status(thm)],[11319, 11317])).
% 1.61/1.78 tff(11321,plain,
% 1.61/1.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s84, c_busy)) | (~always3(s84)))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11322,plain,
% 1.61/1.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s84)) | (~m_main_v_state(s84, c_busy))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11321, 11320])).
% 1.61/1.78 tff(11323,plain,
% 1.61/1.78 (~m_main_v_state(s84, c_busy)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11322, 3154, 11316])).
% 1.61/1.78 tff(11324,plain,
% 1.61/1.78 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s84, c_busy) | m_main_v_state(s84, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s84, c_busy) | m_main_v_state(s84, c_ready))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11325,plain,
% 1.61/1.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s84, c_busy) | m_main_v_state(s84, c_ready))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11326,plain,
% 1.61/1.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s84, c_busy) | m_main_v_state(s84, c_ready)),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11325, 11324])).
% 1.61/1.78 tff(11327,plain,
% 1.61/1.78 ($false),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11326, 19, 11323, 11300])).
% 1.61/1.78 tff(11328,plain,(xuntil6(s85) | (~until5(s84)) | (~until5(s82))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.78 tff(11329,plain,
% 1.61/1.78 (xuntil6(s85)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11328, 11249, 11207])).
% 1.61/1.78 tff(11330,plain,
% 1.61/1.78 (until5(s86)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[759, 11329])).
% 1.61/1.78 tff(11331,plain,
% 1.61/1.78 (always3(s87)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[751, 712, 737])).
% 1.61/1.78 tff(11332,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s87)) | (~m_main_v_state(s87, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s87)) | (~m_main_v_state(s87, c_busy)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11333,plain,
% 1.61/1.78 (((~m_main_v_state(s87, c_busy)) | (~always3(s87))) <=> ((~always3(s87)) | (~m_main_v_state(s87, c_busy)))),
% 1.61/1.78 inference(rewrite,[status(thm)],[])).
% 1.61/1.78 tff(11334,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s87, c_busy)) | (~always3(s87)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s87)) | (~m_main_v_state(s87, c_busy))))),
% 1.61/1.78 inference(monotonicity,[status(thm)],[11333])).
% 1.61/1.78 tff(11335,plain,
% 1.61/1.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s87, c_busy)) | (~always3(s87)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s87)) | (~m_main_v_state(s87, c_busy)))),
% 1.61/1.78 inference(transitivity,[status(thm)],[11334, 11332])).
% 1.61/1.78 tff(11336,plain,
% 1.61/1.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s87, c_busy)) | (~always3(s87)))),
% 1.61/1.78 inference(quant_inst,[status(thm)],[])).
% 1.61/1.78 tff(11337,plain,
% 1.61/1.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s87)) | (~m_main_v_state(s87, c_busy))),
% 1.61/1.78 inference(modus_ponens,[status(thm)],[11336, 11335])).
% 1.61/1.78 tff(11338,plain,
% 1.61/1.78 (~m_main_v_state(s87, c_busy)),
% 1.61/1.78 inference(unit_resolution,[status(thm)],[11337, 3154, 11331])).
% 1.61/1.79 tff(11339,plain,
% 1.61/1.79 (always3(s88)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[587, 11331])).
% 1.61/1.79 tff(11340,plain,
% 1.61/1.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s88)) | (~m_main_v_state(s88, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s88)) | (~m_main_v_state(s88, c_busy)))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11341,plain,
% 1.61/1.79 (((~m_main_v_state(s88, c_busy)) | (~always3(s88))) <=> ((~always3(s88)) | (~m_main_v_state(s88, c_busy)))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11342,plain,
% 1.61/1.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s88, c_busy)) | (~always3(s88)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s88)) | (~m_main_v_state(s88, c_busy))))),
% 1.61/1.79 inference(monotonicity,[status(thm)],[11341])).
% 1.61/1.79 tff(11343,plain,
% 1.61/1.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s88, c_busy)) | (~always3(s88)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s88)) | (~m_main_v_state(s88, c_busy)))),
% 1.61/1.79 inference(transitivity,[status(thm)],[11342, 11340])).
% 1.61/1.79 tff(11344,plain,
% 1.61/1.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s88, c_busy)) | (~always3(s88)))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11345,plain,
% 1.61/1.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s88)) | (~m_main_v_state(s88, c_busy))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11344, 11343])).
% 1.61/1.79 tff(11346,plain,
% 1.61/1.79 (~m_main_v_state(s88, c_busy)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11345, 3154, 11339])).
% 1.61/1.79 tff(11347,plain,
% 1.61/1.79 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s87, c_busy) | m_main_v_state(s87, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s87, c_busy) | m_main_v_state(s87, c_ready))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11348,plain,
% 1.61/1.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s87, c_busy) | m_main_v_state(s87, c_ready))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11349,plain,
% 1.61/1.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s87, c_busy) | m_main_v_state(s87, c_ready)),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11348, 11347])).
% 1.61/1.79 tff(11350,plain,
% 1.61/1.79 (m_main_v_state(s87, c_ready)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11349, 19, 11338])).
% 1.61/1.79 tff(11351,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s87, s88)) | node2(s87, s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s87, s88)) | node2(s87, s88))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11352,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s87, s88)) | node2(s87, s88))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11353,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s87, s88)) | node2(s87, s88)),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11352, 11351])).
% 1.61/1.79 tff(11354,plain,
% 1.61/1.79 (node2(s87, s88)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11353, 7, 583])).
% 1.61/1.79 tff(11355,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s87, c_ready)) | (~node2(s87, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s87, c_ready)) | (~node2(s87, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87)))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11356,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s87, c_ready)) | (~node2(s87, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87)))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11357,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s87, c_ready)) | (~node2(s87, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11356, 11355])).
% 1.61/1.79 tff(11358,plain,
% 1.61/1.79 ((~m_main_v_state(s87, c_ready)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11357, 3175, 11354])).
% 1.61/1.79 tff(11359,plain,
% 1.61/1.79 (~m_main_v_request(s87)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11358, 11350, 11346])).
% 1.61/1.79 tff(11360,plain,
% 1.61/1.79 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s87) | (~node4(s87)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s87) | (~node4(s87)))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11361,plain,
% 1.61/1.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s87) | (~node4(s87)))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11362,plain,
% 1.61/1.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s87) | (~node4(s87))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11361, 11360])).
% 1.61/1.79 tff(11363,plain,
% 1.61/1.79 (~node4(s87)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11362, 3141, 11359])).
% 1.61/1.79 tff(11364,plain,
% 1.61/1.79 (~until5(s87)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[719, 11363])).
% 1.61/1.79 tff(11365,plain,
% 1.61/1.79 (~xuntil6(s86)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[749, 11364])).
% 1.61/1.79 tff(11366,plain,
% 1.61/1.79 (node4(s86)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[744, 11365])).
% 1.61/1.79 tff(11367,plain,
% 1.61/1.79 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s86) | (~node4(s86)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s86) | (~node4(s86)))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11368,plain,
% 1.61/1.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s86) | (~node4(s86)))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11369,plain,
% 1.61/1.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s86) | (~node4(s86))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11368, 11367])).
% 1.61/1.79 tff(11370,plain,
% 1.61/1.79 (m_main_v_request(s86)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11369, 3141, 11366])).
% 1.61/1.79 tff(11371,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s86, s87)) | node2(s86, s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s86, s87)) | node2(s86, s87))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11372,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s86, s87)) | node2(s86, s87))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11373,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s86, s87)) | node2(s86, s87)),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11372, 11371])).
% 1.61/1.79 tff(11374,plain,
% 1.61/1.79 (node2(s86, s87)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11373, 7, 727])).
% 1.61/1.79 tff(11375,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s86, c_ready)) | (~node2(s86, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s86, c_ready)) | (~node2(s86, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86)))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11376,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s86, c_ready)) | (~node2(s86, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86)))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11377,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s86, c_ready)) | (~node2(s86, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11376, 11375])).
% 1.61/1.79 tff(11378,plain,
% 1.61/1.79 ((~m_main_v_state(s86, c_ready)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11377, 3175, 11374])).
% 1.61/1.79 tff(11379,plain,
% 1.61/1.79 (~m_main_v_state(s86, c_ready)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11378, 11370, 11338])).
% 1.61/1.79 tff(11380,plain,
% 1.61/1.79 (always3(s86)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[735, 595, 11366])).
% 1.61/1.79 tff(11381,plain,
% 1.61/1.79 (~m_main_v_state(s86, c_busy)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11264, 3154, 11380])).
% 1.61/1.79 tff(11382,plain,
% 1.61/1.79 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s86, c_busy) | m_main_v_state(s86, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s86, c_busy) | m_main_v_state(s86, c_ready))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11383,plain,
% 1.61/1.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s86, c_busy) | m_main_v_state(s86, c_ready))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11384,plain,
% 1.61/1.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s86, c_busy) | m_main_v_state(s86, c_ready)),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11383, 11382])).
% 1.61/1.79 tff(11385,plain,
% 1.61/1.79 ($false),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11384, 19, 11381, 11379])).
% 1.61/1.79 tff(11386,plain,(xuntil6(s87) | (~until5(s86))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.79 tff(11387,plain,
% 1.61/1.79 (xuntil6(s87)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11386, 11330])).
% 1.61/1.79 tff(11388,plain,
% 1.61/1.79 (until5(s88)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[705, 11387])).
% 1.61/1.79 tff(11389,plain,
% 1.61/1.79 (~m_main_v_state(s88, c_busy)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11345, 3154, 10967])).
% 1.61/1.79 tff(11390,plain,
% 1.61/1.79 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s88, c_busy) | m_main_v_state(s88, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s88, c_busy) | m_main_v_state(s88, c_ready))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11391,plain,
% 1.61/1.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s88, c_busy) | m_main_v_state(s88, c_ready))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11392,plain,
% 1.61/1.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s88, c_busy) | m_main_v_state(s88, c_ready)),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11391, 11390])).
% 1.61/1.79 tff(11393,plain,
% 1.61/1.79 (m_main_v_state(s88, c_ready)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11392, 19, 11389])).
% 1.61/1.79 tff(11394,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s88, s89)) | node2(s88, s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s88, s89)) | node2(s88, s89))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11395,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s88, s89)) | node2(s88, s89))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11396,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s88, s89)) | node2(s88, s89)),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11395, 11394])).
% 1.61/1.79 tff(11397,plain,
% 1.61/1.79 (node2(s88, s89)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11396, 7, 571])).
% 1.61/1.79 tff(11398,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s88, c_ready)) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s88, c_ready)) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88)))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11399,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s88, c_ready)) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88)))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11400,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s88, c_ready)) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11399, 11398])).
% 1.61/1.79 tff(11401,plain,
% 1.61/1.79 ((~m_main_v_state(s88, c_ready)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s88))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11400, 3175, 11397])).
% 1.61/1.79 tff(11402,plain,
% 1.61/1.79 (~m_main_v_request(s88)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11401, 11393, 10973])).
% 1.61/1.79 tff(11403,plain,
% 1.61/1.79 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s88) | (~node4(s88)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s88) | (~node4(s88)))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11404,plain,
% 1.61/1.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s88) | (~node4(s88)))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11405,plain,
% 1.61/1.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s88) | (~node4(s88))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11404, 11403])).
% 1.61/1.79 tff(11406,plain,
% 1.61/1.79 (~node4(s88)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11405, 3141, 11402])).
% 1.61/1.79 tff(11407,plain,
% 1.61/1.79 (xuntil6(s88) | (~until5(s88))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[699, 614, 11406])).
% 1.61/1.79 tff(11408,plain,
% 1.61/1.79 (xuntil6(s88)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11407, 11388])).
% 1.61/1.79 tff(11409,plain,
% 1.61/1.79 (until5(s89)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[688, 11408])).
% 1.61/1.79 tff(11410,plain,
% 1.61/1.79 (xuntil6(s90)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10631, 11409])).
% 1.61/1.79 tff(11411,plain,
% 1.61/1.79 (until5(s91)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[648, 11410])).
% 1.61/1.79 tff(11412,plain,
% 1.61/1.79 (xuntil6(s91) | (~until5(s91))),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[643, 614, 10362])).
% 1.61/1.79 tff(11413,plain,
% 1.61/1.79 (xuntil6(s91)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11412, 11411])).
% 1.61/1.79 tff(11414,plain,
% 1.61/1.79 (until5(s92)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[636, 11413])).
% 1.61/1.79 tff(11415,plain,
% 1.61/1.79 (xuntil6(s92)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10655, 11414])).
% 1.61/1.79 tff(11416,plain,
% 1.61/1.79 (until5(s93)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[2894, 11415])).
% 1.61/1.79 tff(11417,plain,
% 1.61/1.79 (xuntil6(s98)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[9245, 11416])).
% 1.61/1.79 tff(11418,plain,
% 1.61/1.79 (until5(s99)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[3023, 11417])).
% 1.61/1.79 tff(11419,plain,
% 1.61/1.79 (node4(s99)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[3018, 11418, 3001])).
% 1.61/1.79 tff(11420,assumption,(~m_main_v_request(s99)), introduced(assumption)).
% 1.61/1.79 tff(11421,plain,
% 1.61/1.79 ($false),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[9251, 3141, 3002, 11420])).
% 1.61/1.79 tff(11422,plain,((~node4(s99)) | m_main_v_request(s99)), inference(lemma,lemma(discharge,[]))).
% 1.61/1.79 tff(11423,plain,
% 1.61/1.79 (m_main_v_request(s99)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11422, 11419])).
% 1.61/1.79 tff(11424,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s86)) | node2(s99, s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s86)) | node2(s99, s86))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11425,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s86)) | node2(s99, s86))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11426,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s86)) | node2(s99, s86)),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11425, 11424])).
% 1.61/1.79 tff(11427,plain,
% 1.61/1.79 (node2(s99, s86)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11426, 5498, 7])).
% 1.61/1.79 tff(11428,plain,
% 1.61/1.79 (always3(s86)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10857, 5498])).
% 1.61/1.79 tff(11429,plain,
% 1.61/1.79 (~m_main_v_state(s86, c_busy)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11264, 3154, 11428])).
% 1.61/1.79 tff(11430,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s86, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s86)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s86, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s86)))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11431,plain,
% 1.61/1.79 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s86, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s86)))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11432,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s86, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s86))))),
% 1.61/1.79 inference(monotonicity,[status(thm)],[11431])).
% 1.61/1.79 tff(11433,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s86, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s86)))),
% 1.61/1.79 inference(transitivity,[status(thm)],[11432, 11430])).
% 1.61/1.79 tff(11434,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s86)) | m_main_v_state(s86, c_busy) | (~m_main_v_request(s99)))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11435,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s86, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s86))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11434, 11433])).
% 1.61/1.79 tff(11436,plain,
% 1.61/1.79 ($false),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11435, 3175, 11429, 10756, 9290, 11427])).
% 1.61/1.79 tff(11437,plain,((~trans(s99, s86)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.79 tff(11438,plain,
% 1.61/1.79 (~trans(s99, s86)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11437, 11423])).
% 1.61/1.79 tff(11439,plain,
% 1.61/1.79 (~trans(s99, s48)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[5953, 11008])).
% 1.61/1.79 tff(11440,plain,
% 1.61/1.79 (~trans(s99, s39)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[5964, 11017])).
% 1.61/1.79 tff(11441,plain,
% 1.61/1.79 (~trans(s99, s58)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8243, 10998])).
% 1.61/1.79 tff(11442,plain,
% 1.61/1.79 (~trans(s99, s54)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8258, 11002])).
% 1.61/1.79 tff(11443,assumption,(node2(s99, s89)), introduced(assumption)).
% 1.61/1.79 tff(11444,assumption,(~m_main_v_state(s89, c_busy)), introduced(assumption)).
% 1.61/1.79 tff(11445,plain,
% 1.61/1.79 ($false),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10964, 3175, 11444, 10756, 9290, 11443])).
% 1.61/1.79 tff(11446,plain,((~node2(s99, s89)) | m_main_v_state(s89, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.79 tff(11447,plain,
% 1.61/1.79 (~node2(s99, s89)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11446, 11423, 10973])).
% 1.61/1.79 tff(11448,plain,
% 1.61/1.79 (~trans(s99, s89)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10955, 7, 11447])).
% 1.61/1.79 tff(11449,plain,
% 1.61/1.79 (~trans(s99, s41)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[5975, 11015])).
% 1.61/1.79 tff(11450,plain,
% 1.61/1.79 (~trans(s99, s61)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8270, 10995])).
% 1.61/1.79 tff(11451,plain,
% 1.61/1.79 (~trans(s99, s19)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[5986, 11037])).
% 1.61/1.79 tff(11452,plain,
% 1.61/1.79 (~trans(s99, s67)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8660, 10989])).
% 1.61/1.79 tff(11453,plain,
% 1.61/1.79 (~node2(s99, s90)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10946, 11423, 10972])).
% 1.61/1.79 tff(11454,assumption,(~node2(s99, s90)), introduced(assumption)).
% 1.61/1.79 tff(11455,plain,
% 1.61/1.79 ($false),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10950, 5256, 7, 11454])).
% 1.61/1.79 tff(11456,plain,((~trans(s99, s90)) | node2(s99, s90)), inference(lemma,lemma(discharge,[]))).
% 1.61/1.79 tff(11457,plain,
% 1.61/1.79 (~trans(s99, s90)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11456, 11453])).
% 1.61/1.79 tff(11458,plain,
% 1.61/1.79 (~trans(s99, s44)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[5997, 11012])).
% 1.61/1.79 tff(11459,plain,
% 1.61/1.79 (~node2(s99, s98)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10828, 11423, 10827])).
% 1.61/1.79 tff(11460,plain,
% 1.61/1.79 (~trans(s99, s98)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10832, 11459])).
% 1.61/1.79 tff(11461,plain,
% 1.61/1.79 (~trans(s99, s74)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8672, 10982])).
% 1.61/1.79 tff(11462,plain,
% 1.61/1.79 (~trans(s99, s38)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6008, 11018])).
% 1.61/1.79 tff(11463,plain,
% 1.61/1.79 (~always3(s14)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[1942, 11041])).
% 1.61/1.79 tff(11464,plain,
% 1.61/1.79 (~always3(s13)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[1954, 11463])).
% 1.61/1.79 tff(11465,plain,
% 1.61/1.79 (~always3(s12)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[1966, 11464])).
% 1.61/1.79 tff(11466,plain,
% 1.61/1.79 (~always3(s11)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[1978, 11465])).
% 1.61/1.79 tff(11467,plain,
% 1.61/1.79 (~always3(s10)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[1990, 11466])).
% 1.61/1.79 tff(11468,plain,
% 1.61/1.79 (~always3(s9)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[2002, 11467])).
% 1.61/1.79 tff(11469,plain,
% 1.61/1.79 (~always3(s8)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[2014, 11468])).
% 1.61/1.79 tff(11470,plain,
% 1.61/1.79 (~always3(s7)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[2026, 11469])).
% 1.61/1.79 tff(11471,plain,
% 1.61/1.79 (~always3(s6)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[2038, 11470])).
% 1.61/1.79 tff(11472,plain,
% 1.61/1.79 (~always3(s5)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[2050, 11471])).
% 1.61/1.79 tff(11473,plain,
% 1.61/1.79 (~always3(s4)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[2062, 11472])).
% 1.61/1.79 tff(11474,plain,
% 1.61/1.79 (~always3(s3)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[2074, 11473])).
% 1.61/1.79 tff(11475,plain,
% 1.61/1.79 (~always3(s2)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[2086, 11474])).
% 1.61/1.79 tff(11476,plain,
% 1.61/1.79 (~trans(s99, s2)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6032, 11475])).
% 1.61/1.79 tff(11477,plain,
% 1.61/1.79 (~trans(s99, s4)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6043, 11473])).
% 1.61/1.79 tff(11478,plain,
% 1.61/1.79 (~trans(s99, s37)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6054, 11019])).
% 1.61/1.79 tff(11479,plain,
% 1.61/1.79 (~trans(s99, s76)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8699, 10980])).
% 1.61/1.79 tff(11480,plain,
% 1.61/1.79 (~trans(s99, s77)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10694, 10979])).
% 1.61/1.79 tff(11481,plain,
% 1.61/1.79 (~trans(s99, s13)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6065, 11464])).
% 1.61/1.79 tff(11482,plain,
% 1.61/1.79 (~trans(s99, s42)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6076, 11014])).
% 1.61/1.79 tff(11483,plain,
% 1.61/1.79 (~trans(s99, s47)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6087, 11009])).
% 1.61/1.79 tff(11484,plain,
% 1.61/1.79 (~trans(s99, s25)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6098, 11031])).
% 1.61/1.79 tff(11485,plain,
% 1.61/1.79 (~trans(s99, s73)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8714, 10983])).
% 1.61/1.79 tff(11486,plain,
% 1.61/1.79 (~trans(s99, s53)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8292, 11003])).
% 1.61/1.79 tff(11487,plain,
% 1.61/1.79 (~trans(s99, s22)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6109, 11034])).
% 1.61/1.79 tff(11488,plain,
% 1.61/1.79 (~trans(s99, s28)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6120, 11028])).
% 1.61/1.79 tff(11489,plain,
% 1.61/1.79 (~trans(s99, s82)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10704, 10974])).
% 1.61/1.79 tff(11490,plain,
% 1.61/1.79 (~trans(s99, s34)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6141, 11022])).
% 1.61/1.79 tff(11491,plain,
% 1.61/1.79 (~node2(s99, s94)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10757, 11423, 10708])).
% 1.61/1.79 tff(11492,plain,
% 1.61/1.79 (~trans(s99, s94)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10761, 11491])).
% 1.61/1.79 tff(11493,plain,
% 1.61/1.79 (~trans(s99, s11)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6152, 11466])).
% 1.61/1.79 tff(11494,plain,
% 1.61/1.79 (~trans(s99, s5)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6163, 11472])).
% 1.61/1.79 tff(11495,plain,
% 1.61/1.79 (~trans(s99, s20)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6174, 11036])).
% 1.61/1.79 tff(11496,plain,
% 1.61/1.79 (~trans(s99, s97)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10766, 11423])).
% 1.61/1.79 tff(11497,plain,
% 1.61/1.79 (~trans(s99, s95)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10768, 11423])).
% 1.61/1.79 tff(11498,plain,
% 1.61/1.79 (~node2(s99, s92)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10779, 11423, 10333])).
% 1.61/1.79 tff(11499,plain,
% 1.61/1.79 (~trans(s99, s92)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10786, 11498])).
% 1.61/1.79 tff(11500,plain,
% 1.61/1.79 (~trans(s99, s36)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6185, 11020])).
% 1.61/1.79 tff(11501,plain,
% 1.61/1.79 (~trans(s99, s83)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10865, 9469])).
% 1.61/1.79 tff(11502,plain,
% 1.61/1.79 (~trans(s99, s69)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8733, 10987])).
% 1.61/1.79 tff(11503,plain,
% 1.61/1.79 (~trans(s99, s43)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6196, 11013])).
% 1.61/1.79 tff(11504,plain,
% 1.61/1.79 (~trans(s99, s10)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6207, 11467])).
% 1.61/1.79 tff(11505,plain,
% 1.61/1.79 (~trans(s99, s62)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8311, 10994])).
% 1.61/1.79 tff(11506,plain,
% 1.61/1.79 (~trans(s99, s56)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8322, 11000])).
% 1.61/1.79 tff(11507,plain,
% 1.61/1.79 (~trans(s99, s50)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8336, 11006])).
% 1.61/1.79 tff(11508,plain,
% 1.61/1.79 (~trans(s99, s80)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10798, 10976])).
% 1.61/1.79 tff(11509,plain,
% 1.61/1.79 (~trans(s99, s12)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6218, 11465])).
% 1.61/1.79 tff(11510,plain,
% 1.61/1.79 (~trans(s99, s65)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8749, 10991])).
% 1.61/1.79 tff(11511,plain,
% 1.61/1.79 (~trans(s99, s51)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8348, 11005])).
% 1.61/1.79 tff(11512,plain,
% 1.61/1.79 (~trans(s99, s18)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6229, 11038])).
% 1.61/1.79 tff(11513,plain,
% 1.61/1.79 (~trans(s99, s45)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6240, 11011])).
% 1.61/1.79 tff(11514,plain,
% 1.61/1.79 (~trans(s99, s68)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8763, 10988])).
% 1.61/1.79 tff(11515,plain,
% 1.61/1.79 (~trans(s99, s26)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6251, 11030])).
% 1.61/1.79 tff(11516,plain,
% 1.61/1.79 (~trans(s99, s75)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8775, 10981])).
% 1.61/1.79 tff(11517,plain,
% 1.61/1.79 (~trans(s99, s8)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6273, 11469])).
% 1.61/1.79 tff(11518,plain,
% 1.61/1.79 (~trans(s99, s72)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8787, 10984])).
% 1.61/1.79 tff(11519,plain,
% 1.61/1.79 (~trans(s99, s81)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10810, 10975])).
% 1.61/1.79 tff(11520,plain,
% 1.61/1.79 (~trans(s99, s35)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6284, 11021])).
% 1.61/1.79 tff(11521,plain,
% 1.61/1.79 (~trans(s99, s30)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6295, 11026])).
% 1.61/1.79 tff(11522,plain,
% 1.61/1.79 (~always3(s1)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[2098, 11475])).
% 1.61/1.79 tff(11523,plain,
% 1.61/1.79 (~always3(s0)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[2114, 11522])).
% 1.61/1.79 tff(11524,plain,
% 1.61/1.79 (~trans(s99, s0)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6308, 11523])).
% 1.61/1.79 tff(11525,plain,
% 1.61/1.79 (~trans(s99, s3)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6319, 11474])).
% 1.61/1.79 tff(11526,plain,
% 1.61/1.79 (~trans(s99, s23)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6330, 11033])).
% 1.61/1.79 tff(11527,plain,
% 1.61/1.79 (~trans(s99, s71)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8805, 10985])).
% 1.61/1.79 tff(11528,plain,
% 1.61/1.79 (~trans(s99, s66)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8816, 10990])).
% 1.61/1.79 tff(11529,plain,
% 1.61/1.79 (~trans(s99, s27)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6341, 11029])).
% 1.61/1.79 tff(11530,plain,
% 1.61/1.79 (~trans(s99, s24)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6352, 11032])).
% 1.61/1.79 tff(11531,plain,
% 1.61/1.79 (~trans(s99, s52)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8370, 11004])).
% 1.61/1.79 tff(11532,plain,
% 1.61/1.79 (~trans(s99, s55)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8381, 11001])).
% 1.61/1.79 tff(11533,plain,
% 1.61/1.79 (~trans(s99, s32)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6363, 11024])).
% 1.61/1.79 tff(11534,plain,
% 1.61/1.79 (~trans(s99, s14)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6262, 11463])).
% 1.61/1.79 tff(11535,plain,
% 1.61/1.79 (~trans(s99, s57)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8394, 10999])).
% 1.61/1.79 tff(11536,plain,
% 1.61/1.79 (~trans(s99, s17)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6385, 11039])).
% 1.61/1.79 tff(11537,plain,
% 1.61/1.79 (~trans(s99, s60)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8406, 10996])).
% 1.61/1.79 tff(11538,plain,
% 1.61/1.79 (~trans(s99, s7)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6396, 11470])).
% 1.61/1.79 tff(11539,plain,
% 1.61/1.79 (~trans(s99, s59)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8418, 10997])).
% 1.61/1.79 tff(11540,plain,
% 1.61/1.79 (~trans(s99, s1)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6407, 11522])).
% 1.61/1.79 tff(11541,plain,
% 1.61/1.79 (~trans(s99, s78)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10843, 10978])).
% 1.61/1.79 tff(11542,plain,
% 1.61/1.79 (~trans(s99, s29)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6418, 11027])).
% 1.61/1.79 tff(11543,plain,
% 1.61/1.79 (~trans(s99, s40)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6429, 11016])).
% 1.61/1.79 tff(11544,plain,
% 1.61/1.79 (~trans(s99, s16)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6374, 11040])).
% 1.61/1.79 tff(11545,plain,
% 1.61/1.79 (~trans(s99, s70)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8842, 10986])).
% 1.61/1.79 tff(11546,plain,
% 1.61/1.79 (~trans(s99, s49)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8440, 11007])).
% 1.61/1.79 tff(11547,plain,
% 1.61/1.79 (~trans(s99, s21)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6440, 11035])).
% 1.61/1.79 tff(11548,plain,
% 1.61/1.79 (~trans(s99, s63)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8855, 10993])).
% 1.61/1.79 tff(11549,plain,
% 1.61/1.79 (~trans(s99, s64)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[8866, 10992])).
% 1.61/1.79 tff(11550,plain,
% 1.61/1.79 (~trans(s99, s31)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6451, 11025])).
% 1.61/1.79 tff(11551,plain,
% 1.61/1.79 (~trans(s99, s79)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10854, 10977])).
% 1.61/1.79 tff(11552,plain,
% 1.61/1.79 (~trans(s99, s6)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6473, 11471])).
% 1.61/1.79 tff(11553,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s87)) | node2(s99, s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s87)) | node2(s99, s87))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11554,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s87)) | node2(s99, s87))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11555,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s87)) | node2(s99, s87)),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11554, 11553])).
% 1.61/1.79 tff(11556,plain,
% 1.61/1.79 (node2(s99, s87)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11555, 5542, 7])).
% 1.61/1.79 tff(11557,plain,
% 1.61/1.79 (always3(s87)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[10862, 5542])).
% 1.61/1.79 tff(11558,plain,
% 1.61/1.79 (~m_main_v_state(s87, c_busy)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11337, 3154, 11557])).
% 1.61/1.79 tff(11559,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s87, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s87)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s87, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s87)))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11560,plain,
% 1.61/1.79 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s87, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s87)))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11561,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s87, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s87))))),
% 1.61/1.79 inference(monotonicity,[status(thm)],[11560])).
% 1.61/1.79 tff(11562,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s87, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s87)))),
% 1.61/1.79 inference(transitivity,[status(thm)],[11561, 11559])).
% 1.61/1.79 tff(11563,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s99)))),
% 1.61/1.79 inference(quant_inst,[status(thm)],[])).
% 1.61/1.79 tff(11564,plain,
% 1.61/1.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s87, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s87))),
% 1.61/1.79 inference(modus_ponens,[status(thm)],[11563, 11562])).
% 1.61/1.79 tff(11565,plain,
% 1.61/1.79 ($false),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11564, 3175, 11558, 10756, 9290, 11556])).
% 1.61/1.79 tff(11566,plain,((~trans(s99, s87)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.79 tff(11567,plain,
% 1.61/1.79 (~trans(s99, s87)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[11566, 11423])).
% 1.61/1.79 tff(11568,plain,
% 1.61/1.79 (~trans(s99, s46)),
% 1.61/1.79 inference(unit_resolution,[status(thm)],[6484, 11010])).
% 1.61/1.79 tff(11569,assumption,(node2(s99, s88)), introduced(assumption)).
% 1.61/1.79 tff(11570,assumption,(~m_main_v_state(s88, c_busy)), introduced(assumption)).
% 1.61/1.79 tff(11571,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s88, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s88)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s88, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s88)))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11572,plain,
% 1.61/1.79 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s88, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s88)))),
% 1.61/1.79 inference(rewrite,[status(thm)],[])).
% 1.61/1.79 tff(11573,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s88, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s88))))),
% 1.61/1.79 inference(monotonicity,[status(thm)],[11572])).
% 1.61/1.79 tff(11574,plain,
% 1.61/1.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s88, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s88)))),
% 1.61/1.80 inference(transitivity,[status(thm)],[11573, 11571])).
% 1.61/1.80 tff(11575,plain,
% 1.61/1.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s99)))),
% 1.61/1.80 inference(quant_inst,[status(thm)],[])).
% 1.61/1.80 tff(11576,plain,
% 1.61/1.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s88, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s88))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[11575, 11574])).
% 1.61/1.80 tff(11577,plain,
% 1.61/1.80 ($false),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11576, 3175, 11570, 10756, 9290, 11569])).
% 1.61/1.80 tff(11578,plain,((~node2(s99, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.80 tff(11579,plain,
% 1.61/1.80 (~node2(s99, s88)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11578, 11423, 11389])).
% 1.61/1.80 tff(11580,plain,
% 1.61/1.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s88)) | node2(s99, s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s88)) | node2(s99, s88))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(11581,plain,
% 1.61/1.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s88)) | node2(s99, s88))),
% 1.61/1.80 inference(quant_inst,[status(thm)],[])).
% 1.61/1.80 tff(11582,plain,
% 1.61/1.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s88)) | node2(s99, s88)),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[11581, 11580])).
% 1.61/1.80 tff(11583,plain,
% 1.61/1.80 (~trans(s99, s88)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11582, 7, 11579])).
% 1.61/1.80 tff(11584,plain,
% 1.61/1.80 (~trans(s99, s33)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[6462, 11023])).
% 1.61/1.80 tff(11585,plain,
% 1.61/1.80 (~node2(s99, s91)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[10924, 11423, 10971])).
% 1.61/1.80 tff(11586,assumption,(~node2(s99, s91)), introduced(assumption)).
% 1.61/1.80 tff(11587,plain,
% 1.61/1.80 ($false),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[10928, 4327, 7, 11586])).
% 1.61/1.80 tff(11588,plain,((~trans(s99, s91)) | node2(s99, s91)), inference(lemma,lemma(discharge,[]))).
% 1.61/1.80 tff(11589,plain,
% 1.61/1.80 (~trans(s99, s91)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11588, 11585])).
% 1.61/1.80 tff(11590,plain,
% 1.61/1.80 (~node2(s99, s96)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[10868, 11423, 10867])).
% 1.61/1.80 tff(11591,plain,
% 1.61/1.80 (~trans(s99, s96)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[10872, 11590])).
% 1.61/1.80 tff(11592,plain,
% 1.61/1.80 (~node2(s99, s99)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[10789, 11423])).
% 1.61/1.80 tff(11593,plain,
% 1.61/1.80 (~trans(s99, s99)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[10302, 11592])).
% 1.61/1.80 tff(11594,plain,
% 1.61/1.80 (~node2(s99, s93)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[10874, 11423, 10636])).
% 1.61/1.80 tff(11595,plain,
% 1.61/1.80 (~trans(s99, s93)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[10878, 11594])).
% 1.61/1.80 tff(11596,plain,
% 1.61/1.80 (~trans(s99, s9)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[6131, 11468])).
% 1.61/1.80 tff(11597,assumption,(~trans(s99, s89)), introduced(assumption)).
% 1.61/1.80 tff(11598,plain,
% 1.61/1.80 (~trans(s99, s85)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[10671, 9256])).
% 1.61/1.80 tff(11599,plain,
% 1.61/1.80 (~trans(s99, s84)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[10665, 9376])).
% 1.61/1.80 tff(11600,plain,
% 1.61/1.80 ($false),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[10910, 11599, 11598, 8428, 10904, 10894, 9505, 10930, 8425, 10880, 8429, 10902, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 9509, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9504, 9503, 9502, 9501, 8302, 8301, 9499, 9521, 8300, 9402, 9522, 9514, 8299, 8298, 8297, 9500, 8296, 10893, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 10896, 8273, 9512, 10886, 8272, 10888, 8260, 11597, 10885, 10883, 8229, 8228, 10901, 8227])).
% 1.61/1.80 tff(11601,plain,(always3(s85) | trans(s99, s9) | trans(s99, s93) | trans(s99, s99) | trans(s99, s96) | trans(s99, s91) | trans(s99, s33) | trans(s99, s88) | trans(s99, s46) | trans(s99, s87) | trans(s99, s6) | trans(s99, s79) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s81) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s80) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s83) | trans(s99, s36) | trans(s99, s92) | trans(s99, s95) | trans(s99, s97) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s94) | trans(s99, s34) | trans(s99, s82) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s77) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s98) | trans(s99, s44) | trans(s99, s90) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s89) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s86) | trans(s99, s15)), inference(lemma,lemma(discharge,[]))).
% 1.61/1.80 tff(11602,plain,
% 1.61/1.80 (always3(s85)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11601, 11596, 11595, 11593, 11591, 11589, 11584, 11583, 11568, 11567, 11552, 11551, 11550, 11549, 11548, 11547, 11546, 11545, 11544, 11543, 11542, 11541, 11540, 11539, 11538, 11537, 11536, 11535, 11534, 11533, 11532, 11531, 11530, 11529, 11528, 11527, 11526, 11525, 11524, 11521, 11520, 11519, 11518, 11517, 11516, 11515, 11514, 11513, 11512, 11511, 11510, 11509, 11508, 11507, 11506, 11505, 11504, 11503, 11502, 11501, 11500, 11499, 11497, 11496, 11495, 11494, 11493, 11492, 11490, 11489, 11488, 11487, 11486, 11485, 11484, 11483, 11482, 11481, 11480, 11479, 11478, 11477, 11476, 11462, 11461, 11460, 11458, 11457, 11452, 11451, 11450, 11449, 11448, 11442, 11441, 11440, 11439, 11438, 11042])).
% 1.61/1.80 tff(11603,plain,
% 1.61/1.80 (~m_main_v_state(s85, c_busy)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11256, 3154, 11602])).
% 1.61/1.80 tff(11604,assumption,(node2(s99, s85)), introduced(assumption)).
% 1.61/1.80 tff(11605,assumption,(~m_main_v_state(s85, c_busy)), introduced(assumption)).
% 1.61/1.80 tff(11606,plain,
% 1.61/1.80 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s85, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s85)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s85, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s85)))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(11607,plain,
% 1.61/1.80 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s85, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s85)))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(11608,plain,
% 1.61/1.80 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s85, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s85))))),
% 1.61/1.80 inference(monotonicity,[status(thm)],[11607])).
% 1.61/1.80 tff(11609,plain,
% 1.61/1.80 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s85, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s85)))),
% 1.61/1.80 inference(transitivity,[status(thm)],[11608, 11606])).
% 1.61/1.80 tff(11610,plain,
% 1.61/1.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s99)))),
% 1.61/1.80 inference(quant_inst,[status(thm)],[])).
% 1.61/1.80 tff(11611,plain,
% 1.61/1.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s85, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s85))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[11610, 11609])).
% 1.61/1.80 tff(11612,plain,
% 1.61/1.80 ($false),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11611, 3175, 11605, 10756, 9290, 11604])).
% 1.61/1.80 tff(11613,plain,((~node2(s99, s85)) | m_main_v_state(s85, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.80 tff(11614,plain,
% 1.61/1.80 (~node2(s99, s85)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11613, 11603, 11423])).
% 1.61/1.80 tff(11615,plain,
% 1.61/1.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s85)) | node2(s99, s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s85)) | node2(s99, s85))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(11616,plain,
% 1.61/1.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s85)) | node2(s99, s85))),
% 1.61/1.80 inference(quant_inst,[status(thm)],[])).
% 1.61/1.80 tff(11617,plain,
% 1.61/1.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s85)) | node2(s99, s85)),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[11616, 11615])).
% 1.61/1.80 tff(11618,plain,
% 1.61/1.80 (~trans(s99, s85)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11617, 7, 11614])).
% 1.61/1.80 tff(11619,plain,
% 1.61/1.80 (trans(s99, s84)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[10910, 11618, 11596, 11595, 11593, 11591, 11589, 11584, 11583, 11568, 11567, 11552, 11551, 11550, 11549, 11548, 11547, 11546, 11545, 11544, 11543, 11542, 11541, 11540, 11539, 11538, 11537, 11536, 11535, 11534, 11533, 11532, 11531, 11530, 11529, 11528, 11527, 11526, 11525, 11524, 11521, 11520, 11519, 11518, 11517, 11516, 11515, 11514, 11513, 11512, 11511, 11510, 11509, 11508, 11507, 11506, 11505, 11504, 11503, 11502, 11501, 11500, 11499, 11497, 11496, 11495, 11494, 11493, 11492, 11490, 11489, 11488, 11487, 11486, 11485, 11484, 11483, 11482, 11481, 11480, 11479, 11478, 11477, 11476, 11462, 11461, 11460, 11458, 11457, 11452, 11451, 11450, 11449, 11448, 11442, 11441, 11440, 11439, 11438, 11042])).
% 1.61/1.80 tff(11620,plain,
% 1.61/1.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s84)) | node2(s99, s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s84)) | node2(s99, s84))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(11621,plain,
% 1.61/1.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s84)) | node2(s99, s84))),
% 1.61/1.80 inference(quant_inst,[status(thm)],[])).
% 1.61/1.80 tff(11622,plain,
% 1.61/1.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s84)) | node2(s99, s84)),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[11621, 11620])).
% 1.61/1.80 tff(11623,plain,
% 1.61/1.80 (node2(s99, s84)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11622, 11619, 7])).
% 1.61/1.80 tff(11624,plain,
% 1.61/1.80 (always3(s84)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[10665, 11619])).
% 1.61/1.80 tff(11625,plain,
% 1.61/1.80 (~m_main_v_state(s84, c_busy)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11322, 3154, 11624])).
% 1.61/1.80 tff(11626,plain,
% 1.61/1.80 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s84, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s84)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s84, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s84)))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(11627,plain,
% 1.61/1.80 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s84)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s84, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s84)))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(11628,plain,
% 1.61/1.80 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s84)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s84, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s84))))),
% 1.61/1.80 inference(monotonicity,[status(thm)],[11627])).
% 1.61/1.80 tff(11629,plain,
% 1.61/1.80 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s84)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s84, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s84)))),
% 1.61/1.80 inference(transitivity,[status(thm)],[11628, 11626])).
% 1.61/1.80 tff(11630,plain,
% 1.61/1.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s84)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s99)))),
% 1.61/1.80 inference(quant_inst,[status(thm)],[])).
% 1.61/1.80 tff(11631,plain,
% 1.61/1.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s84, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s84))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[11630, 11629])).
% 1.61/1.80 tff(11632,plain,
% 1.61/1.80 ($false),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11631, 3175, 11625, 10756, 11423, 11623])).
% 1.61/1.80 tff(11633,plain,(always3(s83) | xuntil6(s99)), inference(lemma,lemma(discharge,[]))).
% 1.61/1.80 tff(11634,plain,
% 1.61/1.80 (always3(s83)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11633, 3001])).
% 1.61/1.80 tff(11635,plain,
% 1.61/1.80 (always3(s84)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[827, 11634])).
% 1.61/1.80 tff(11636,plain,
% 1.61/1.80 (always3(s85)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[798, 11635])).
% 1.61/1.80 tff(11637,plain,
% 1.61/1.80 (~m_main_v_state(s85, c_busy)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11256, 3154, 11636])).
% 1.61/1.80 tff(11638,plain,
% 1.61/1.80 (~m_main_v_state(s84, c_busy)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11322, 3154, 11635])).
% 1.61/1.80 tff(11639,assumption,(until5(s78)), introduced(assumption)).
% 1.61/1.80 tff(11640,plain,
% 1.61/1.80 (~until5(s99)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[3018, 3001, 3009])).
% 1.61/1.80 tff(11641,plain,
% 1.61/1.80 (~xuntil6(s98)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[3023, 11640])).
% 1.61/1.80 tff(11642,plain,
% 1.61/1.80 (~until5(s93)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[9245, 11641])).
% 1.61/1.80 tff(11643,plain,
% 1.61/1.80 (~xuntil6(s92)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2894, 11642])).
% 1.61/1.80 tff(11644,plain,
% 1.61/1.80 (node4(s92) | (~until5(s92))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[620, 614, 11643])).
% 1.61/1.80 tff(11645,plain,
% 1.61/1.80 (~until5(s92)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11644, 10654])).
% 1.61/1.80 tff(11646,plain,
% 1.61/1.80 (~xuntil6(s91)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[636, 11645])).
% 1.61/1.80 tff(11647,plain,
% 1.61/1.80 (~until5(s91)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11412, 11646])).
% 1.61/1.80 tff(11648,assumption,(~m_main_v_state(s84, c_busy)), introduced(assumption)).
% 1.61/1.80 tff(11649,assumption,(node4(s83)), introduced(assumption)).
% 1.61/1.80 tff(11650,plain,
% 1.61/1.80 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s83) | (~node4(s83)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s83) | (~node4(s83)))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(11651,plain,
% 1.61/1.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s83) | (~node4(s83)))),
% 1.61/1.80 inference(quant_inst,[status(thm)],[])).
% 1.61/1.80 tff(11652,plain,
% 1.61/1.80 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s83) | (~node4(s83))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[11651, 11650])).
% 1.61/1.80 tff(11653,plain,
% 1.61/1.80 (m_main_v_request(s83)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11652, 3141, 11649])).
% 1.61/1.80 tff(11654,plain,
% 1.61/1.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s83, s84)) | node2(s83, s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s83, s84)) | node2(s83, s84))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(11655,plain,
% 1.61/1.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s83, s84)) | node2(s83, s84))),
% 1.61/1.80 inference(quant_inst,[status(thm)],[])).
% 1.61/1.80 tff(11656,plain,
% 1.61/1.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s83, s84)) | node2(s83, s84)),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[11655, 11654])).
% 1.61/1.80 tff(11657,plain,
% 1.61/1.80 (node2(s83, s84)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11656, 7, 823])).
% 1.61/1.80 tff(11658,plain,
% 1.61/1.80 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s83, c_ready)) | (~node2(s83, s84)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s83)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s83, c_ready)) | (~node2(s83, s84)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s83)))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(11659,plain,
% 1.61/1.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s83, c_ready)) | (~node2(s83, s84)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s83)))),
% 1.61/1.80 inference(quant_inst,[status(thm)],[])).
% 1.61/1.80 tff(11660,plain,
% 1.61/1.80 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s83, c_ready)) | (~node2(s83, s84)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s83))),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[11659, 11658])).
% 1.61/1.80 tff(11661,plain,
% 1.61/1.80 ((~m_main_v_state(s83, c_ready)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s83))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11660, 3175, 11657])).
% 1.61/1.80 tff(11662,plain,
% 1.61/1.80 (~m_main_v_state(s83, c_ready)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11661, 11653, 11648])).
% 1.61/1.80 tff(11663,plain,
% 1.61/1.80 (always3(s83)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[831, 595, 11649])).
% 1.61/1.80 tff(11664,plain,
% 1.61/1.80 (~m_main_v_state(s83, c_busy)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11220, 3154, 11663])).
% 1.61/1.80 tff(11665,plain,
% 1.61/1.80 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s83, c_busy) | m_main_v_state(s83, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s83, c_busy) | m_main_v_state(s83, c_ready))),
% 1.61/1.80 inference(rewrite,[status(thm)],[])).
% 1.61/1.80 tff(11666,plain,
% 1.61/1.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s83, c_busy) | m_main_v_state(s83, c_ready))),
% 1.61/1.80 inference(quant_inst,[status(thm)],[])).
% 1.61/1.80 tff(11667,plain,
% 1.61/1.80 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s83, c_busy) | m_main_v_state(s83, c_ready)),
% 1.61/1.80 inference(modus_ponens,[status(thm)],[11666, 11665])).
% 1.61/1.80 tff(11668,plain,
% 1.61/1.80 ($false),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11667, 19, 11664, 11662])).
% 1.61/1.80 tff(11669,plain,((~node4(s83)) | m_main_v_state(s84, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.61/1.80 tff(11670,plain,
% 1.61/1.80 (~node4(s83)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11669, 11638])).
% 1.61/1.80 tff(11671,plain,
% 1.61/1.80 (xuntil6(s82)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11243, 11301])).
% 1.61/1.80 tff(11672,plain,
% 1.61/1.80 (until5(s83)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[847, 11671])).
% 1.61/1.80 tff(11673,plain,
% 1.61/1.80 (xuntil6(s83) | node4(s83)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[838, 614, 11672])).
% 1.61/1.80 tff(11674,plain,
% 1.61/1.80 (xuntil6(s83)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11673, 11670])).
% 1.61/1.80 tff(11675,plain,
% 1.61/1.80 (until5(s84)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[818, 11674])).
% 1.61/1.80 tff(11676,plain,
% 1.61/1.80 (xuntil6(s85)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11328, 11675, 11301])).
% 1.61/1.80 tff(11677,plain,
% 1.61/1.80 (until5(s86)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[759, 11676])).
% 1.61/1.80 tff(11678,plain,
% 1.61/1.80 (xuntil6(s87)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11386, 11677])).
% 1.61/1.80 tff(11679,plain,
% 1.61/1.80 (until5(s88)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[705, 11678])).
% 1.61/1.80 tff(11680,plain,
% 1.61/1.80 (xuntil6(s88) | node4(s88)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[699, 614, 11679])).
% 1.61/1.80 tff(11681,plain,
% 1.61/1.80 (xuntil6(s88)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11680, 11406])).
% 1.61/1.80 tff(11682,plain,
% 1.61/1.80 (until5(s89)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[688, 11681])).
% 1.61/1.80 tff(11683,plain,
% 1.61/1.80 (xuntil6(s90)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[10631, 11682])).
% 1.61/1.80 tff(11684,plain,
% 1.61/1.80 ($false),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[648, 11683, 11647])).
% 1.61/1.80 tff(11685,plain,(xuntil6(s99) | (~until5(s82)) | node4(s99)), inference(lemma,lemma(discharge,[]))).
% 1.61/1.80 tff(11686,plain,
% 1.61/1.80 (~until5(s82)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11685, 3009, 3001])).
% 1.61/1.80 tff(11687,plain,
% 1.61/1.80 (~xuntil6(s81)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[876, 11686])).
% 1.61/1.80 tff(11688,assumption,(~xuntil6(s81)), introduced(assumption)).
% 1.61/1.80 tff(11689,plain,
% 1.61/1.80 (~always3(s80)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[914, 9403])).
% 1.61/1.80 tff(11690,plain,
% 1.61/1.80 (~node4(s80)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[918, 595, 11689])).
% 1.61/1.80 tff(11691,plain,
% 1.61/1.80 (~node4(s81)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[889, 595, 9403])).
% 1.61/1.80 tff(11692,plain,
% 1.61/1.80 (node4(s81) | (~until5(s81))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[896, 614, 11688])).
% 1.61/1.80 tff(11693,plain,
% 1.61/1.80 (~until5(s81)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11692, 11691])).
% 1.61/1.80 tff(11694,plain,
% 1.61/1.80 (~xuntil6(s80)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[905, 11693])).
% 1.61/1.80 tff(11695,plain,
% 1.61/1.80 (~until5(s80)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[925, 614, 11694, 11690])).
% 1.61/1.80 tff(11696,plain,
% 1.61/1.80 (~xuntil6(s79)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[934, 11695])).
% 1.61/1.80 tff(11697,plain,
% 1.61/1.80 (~always3(s79)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[943, 11689])).
% 1.61/1.80 tff(11698,plain,
% 1.61/1.80 (~node4(s79)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[947, 595, 11697])).
% 1.61/1.80 tff(11699,plain,
% 1.61/1.80 (xuntil6(s79) | (~until5(s79))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[954, 614, 11698])).
% 1.61/1.80 tff(11700,plain,
% 1.61/1.80 (~until5(s79)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11699, 11696])).
% 1.61/1.80 tff(11701,plain,
% 1.61/1.80 (~xuntil6(s78)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[963, 11700])).
% 1.61/1.80 tff(11702,plain,
% 1.61/1.80 (~always3(s78)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[972, 11697])).
% 1.61/1.80 tff(11703,plain,
% 1.61/1.80 (~node4(s78)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[976, 595, 11702])).
% 1.61/1.80 tff(11704,plain,
% 1.61/1.80 (xuntil6(s78) | (~until5(s78))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[983, 614, 11703])).
% 1.61/1.80 tff(11705,plain,
% 1.61/1.80 (~until5(s78)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11704, 11701])).
% 1.61/1.80 tff(11706,plain,
% 1.61/1.80 (~xuntil6(s77)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[992, 11705])).
% 1.61/1.80 tff(11707,plain,
% 1.61/1.80 (~always3(s77)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1001, 11702])).
% 1.61/1.80 tff(11708,plain,
% 1.61/1.80 (~node4(s77)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1005, 595, 11707])).
% 1.61/1.80 tff(11709,plain,
% 1.61/1.80 (xuntil6(s77) | (~until5(s77))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1012, 614, 11708])).
% 1.61/1.80 tff(11710,plain,
% 1.61/1.80 (~until5(s77)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11709, 11706])).
% 1.61/1.80 tff(11711,plain,
% 1.61/1.80 (~xuntil6(s76)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1021, 11710])).
% 1.61/1.80 tff(11712,plain,
% 1.61/1.80 (~always3(s76)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1030, 11707])).
% 1.61/1.80 tff(11713,plain,
% 1.61/1.80 (~node4(s76)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1034, 595, 11712])).
% 1.61/1.80 tff(11714,plain,
% 1.61/1.80 (xuntil6(s76) | (~until5(s76))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1041, 614, 11713])).
% 1.61/1.80 tff(11715,plain,
% 1.61/1.80 (~until5(s76)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11714, 11711])).
% 1.61/1.80 tff(11716,plain,
% 1.61/1.80 (~xuntil6(s75)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1050, 11715])).
% 1.61/1.80 tff(11717,plain,
% 1.61/1.80 (~always3(s75)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1059, 11712])).
% 1.61/1.80 tff(11718,plain,
% 1.61/1.80 (~node4(s75)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1063, 595, 11717])).
% 1.61/1.80 tff(11719,plain,
% 1.61/1.80 (xuntil6(s75) | (~until5(s75))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1070, 614, 11718])).
% 1.61/1.80 tff(11720,plain,
% 1.61/1.80 (~until5(s75)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11719, 11716])).
% 1.61/1.80 tff(11721,plain,
% 1.61/1.80 (~xuntil6(s74)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1079, 11720])).
% 1.61/1.80 tff(11722,plain,
% 1.61/1.80 (~always3(s74)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1088, 11717])).
% 1.61/1.80 tff(11723,plain,
% 1.61/1.80 (~node4(s74)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1092, 595, 11722])).
% 1.61/1.80 tff(11724,plain,
% 1.61/1.80 (xuntil6(s74) | (~until5(s74))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1099, 614, 11723])).
% 1.61/1.80 tff(11725,plain,
% 1.61/1.80 (~until5(s74)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11724, 11721])).
% 1.61/1.80 tff(11726,plain,
% 1.61/1.80 (~xuntil6(s73)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1108, 11725])).
% 1.61/1.80 tff(11727,plain,
% 1.61/1.80 (~always3(s73)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1117, 11722])).
% 1.61/1.80 tff(11728,plain,
% 1.61/1.80 (~node4(s73)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1121, 595, 11727])).
% 1.61/1.80 tff(11729,plain,
% 1.61/1.80 (xuntil6(s73) | (~until5(s73))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1128, 614, 11728])).
% 1.61/1.80 tff(11730,plain,
% 1.61/1.80 (~until5(s73)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11729, 11726])).
% 1.61/1.80 tff(11731,plain,
% 1.61/1.80 (~xuntil6(s72)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1137, 11730])).
% 1.61/1.80 tff(11732,plain,
% 1.61/1.80 (~always3(s72)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1146, 11727])).
% 1.61/1.80 tff(11733,plain,
% 1.61/1.80 (~node4(s72)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1150, 595, 11732])).
% 1.61/1.80 tff(11734,plain,
% 1.61/1.80 (xuntil6(s72) | (~until5(s72))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1157, 614, 11733])).
% 1.61/1.80 tff(11735,plain,
% 1.61/1.80 (~until5(s72)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11734, 11731])).
% 1.61/1.80 tff(11736,plain,
% 1.61/1.80 (~xuntil6(s71)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1166, 11735])).
% 1.61/1.80 tff(11737,plain,
% 1.61/1.80 (~always3(s71)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1175, 11732])).
% 1.61/1.80 tff(11738,plain,
% 1.61/1.80 (~node4(s71)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1179, 595, 11737])).
% 1.61/1.80 tff(11739,plain,
% 1.61/1.80 (xuntil6(s71) | (~until5(s71))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1186, 614, 11738])).
% 1.61/1.80 tff(11740,plain,
% 1.61/1.80 (~until5(s71)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11739, 11736])).
% 1.61/1.80 tff(11741,plain,
% 1.61/1.80 (~xuntil6(s70)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1195, 11740])).
% 1.61/1.80 tff(11742,plain,
% 1.61/1.80 (~always3(s70)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1204, 11737])).
% 1.61/1.80 tff(11743,plain,
% 1.61/1.80 (~node4(s70)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1208, 595, 11742])).
% 1.61/1.80 tff(11744,plain,
% 1.61/1.80 (xuntil6(s70) | (~until5(s70))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1215, 614, 11743])).
% 1.61/1.80 tff(11745,plain,
% 1.61/1.80 (~until5(s70)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11744, 11741])).
% 1.61/1.80 tff(11746,plain,
% 1.61/1.80 (~xuntil6(s69)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1224, 11745])).
% 1.61/1.80 tff(11747,plain,
% 1.61/1.80 (~always3(s69)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1233, 11742])).
% 1.61/1.80 tff(11748,plain,
% 1.61/1.80 (~node4(s69)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1237, 595, 11747])).
% 1.61/1.80 tff(11749,plain,
% 1.61/1.80 (xuntil6(s69) | (~until5(s69))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1244, 614, 11748])).
% 1.61/1.80 tff(11750,plain,
% 1.61/1.80 (~until5(s69)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11749, 11746])).
% 1.61/1.80 tff(11751,plain,
% 1.61/1.80 (~xuntil6(s68)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1253, 11750])).
% 1.61/1.80 tff(11752,plain,
% 1.61/1.80 (~always3(s68)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1262, 11747])).
% 1.61/1.80 tff(11753,plain,
% 1.61/1.80 (~node4(s68)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1266, 595, 11752])).
% 1.61/1.80 tff(11754,plain,
% 1.61/1.80 (xuntil6(s68) | (~until5(s68))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1273, 614, 11753])).
% 1.61/1.80 tff(11755,plain,
% 1.61/1.80 (~until5(s68)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11754, 11751])).
% 1.61/1.80 tff(11756,plain,
% 1.61/1.80 (~xuntil6(s67)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1282, 11755])).
% 1.61/1.80 tff(11757,plain,
% 1.61/1.80 (~always3(s67)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1291, 11752])).
% 1.61/1.80 tff(11758,plain,
% 1.61/1.80 (~node4(s67)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1295, 595, 11757])).
% 1.61/1.80 tff(11759,plain,
% 1.61/1.80 (xuntil6(s67) | (~until5(s67))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1302, 614, 11758])).
% 1.61/1.80 tff(11760,plain,
% 1.61/1.80 (~until5(s67)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11759, 11756])).
% 1.61/1.80 tff(11761,plain,
% 1.61/1.80 (~xuntil6(s66)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1311, 11760])).
% 1.61/1.80 tff(11762,plain,
% 1.61/1.80 (~always3(s66)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1320, 11757])).
% 1.61/1.80 tff(11763,plain,
% 1.61/1.80 (~node4(s66)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1324, 595, 11762])).
% 1.61/1.80 tff(11764,plain,
% 1.61/1.80 (xuntil6(s66) | (~until5(s66))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1331, 614, 11763])).
% 1.61/1.80 tff(11765,plain,
% 1.61/1.80 (~until5(s66)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11764, 11761])).
% 1.61/1.80 tff(11766,plain,
% 1.61/1.80 (~xuntil6(s65)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1340, 11765])).
% 1.61/1.80 tff(11767,plain,
% 1.61/1.80 (~always3(s65)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1349, 11762])).
% 1.61/1.80 tff(11768,plain,
% 1.61/1.80 (~node4(s65)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1353, 595, 11767])).
% 1.61/1.80 tff(11769,plain,
% 1.61/1.80 (xuntil6(s65) | (~until5(s65))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1360, 614, 11768])).
% 1.61/1.80 tff(11770,plain,
% 1.61/1.80 (~until5(s65)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11769, 11766])).
% 1.61/1.80 tff(11771,plain,
% 1.61/1.80 (~xuntil6(s64)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1369, 11770])).
% 1.61/1.80 tff(11772,plain,
% 1.61/1.80 (~always3(s64)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1378, 11767])).
% 1.61/1.80 tff(11773,plain,
% 1.61/1.80 (~node4(s64)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1382, 595, 11772])).
% 1.61/1.80 tff(11774,plain,
% 1.61/1.80 (xuntil6(s64) | (~until5(s64))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1389, 614, 11773])).
% 1.61/1.80 tff(11775,plain,
% 1.61/1.80 (~until5(s64)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11774, 11771])).
% 1.61/1.80 tff(11776,plain,
% 1.61/1.80 (~xuntil6(s63)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1398, 11775])).
% 1.61/1.80 tff(11777,plain,
% 1.61/1.80 (~always3(s63)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1407, 11772])).
% 1.61/1.80 tff(11778,plain,
% 1.61/1.80 (~node4(s63)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1411, 595, 11777])).
% 1.61/1.80 tff(11779,plain,
% 1.61/1.80 (xuntil6(s63) | (~until5(s63))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1418, 614, 11778])).
% 1.61/1.80 tff(11780,plain,
% 1.61/1.80 (~until5(s63)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11779, 11776])).
% 1.61/1.80 tff(11781,plain,
% 1.61/1.80 (~always3(s62)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1431, 11777])).
% 1.61/1.80 tff(11782,plain,
% 1.61/1.80 (~always3(s61)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1443, 11781])).
% 1.61/1.80 tff(11783,plain,
% 1.61/1.80 (~always3(s60)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1455, 11782])).
% 1.61/1.80 tff(11784,plain,
% 1.61/1.80 (~always3(s59)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1467, 11783])).
% 1.61/1.80 tff(11785,plain,
% 1.61/1.80 (~always3(s58)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1479, 11784])).
% 1.61/1.80 tff(11786,plain,
% 1.61/1.80 (~always3(s57)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1491, 11785])).
% 1.61/1.80 tff(11787,plain,
% 1.61/1.80 (~always3(s56)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1503, 11786])).
% 1.61/1.80 tff(11788,plain,
% 1.61/1.80 (~always3(s55)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1515, 11787])).
% 1.61/1.80 tff(11789,plain,
% 1.61/1.80 (~always3(s54)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1527, 11788])).
% 1.61/1.80 tff(11790,plain,
% 1.61/1.80 (~always3(s53)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1539, 11789])).
% 1.61/1.80 tff(11791,plain,
% 1.61/1.80 (~always3(s52)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1551, 11790])).
% 1.61/1.80 tff(11792,plain,
% 1.61/1.80 (~always3(s51)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1563, 11791])).
% 1.61/1.80 tff(11793,plain,
% 1.61/1.80 (~always3(s50)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1575, 11792])).
% 1.61/1.80 tff(11794,plain,
% 1.61/1.80 (~always3(s49)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1587, 11793])).
% 1.61/1.80 tff(11795,plain,
% 1.61/1.80 (~always3(s48)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[1599, 11794])).
% 1.61/1.80 tff(11796,plain,
% 1.61/1.80 (~always3(s47)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[54, 11795])).
% 1.61/1.80 tff(11797,plain,
% 1.61/1.80 (~always3(s46)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[66, 11796])).
% 1.61/1.80 tff(11798,plain,
% 1.61/1.80 (~always3(s45)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[78, 11797])).
% 1.61/1.80 tff(11799,plain,
% 1.61/1.80 (~node4(s45)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2585, 595, 11798])).
% 1.61/1.80 tff(11800,plain,
% 1.61/1.80 (~always3(s44)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[90, 11798])).
% 1.61/1.80 tff(11801,plain,
% 1.61/1.80 (~node4(s44)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2568, 595, 11800])).
% 1.61/1.80 tff(11802,plain,
% 1.61/1.80 (~always3(s43)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[102, 11800])).
% 1.61/1.80 tff(11803,plain,
% 1.61/1.80 (xuntil6(s43)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[8147, 11802, 8122])).
% 1.61/1.80 tff(11804,plain,
% 1.61/1.80 (until5(s44)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2564, 11803])).
% 1.61/1.80 tff(11805,plain,
% 1.61/1.80 (xuntil6(s44) | node4(s44)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2575, 614, 11804])).
% 1.61/1.80 tff(11806,plain,
% 1.61/1.80 (xuntil6(s44)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11805, 11801])).
% 1.61/1.80 tff(11807,plain,
% 1.61/1.80 (until5(s45)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2581, 11806])).
% 1.61/1.80 tff(11808,plain,
% 1.61/1.80 (xuntil6(s45)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2592, 614, 11807, 11799])).
% 1.61/1.80 tff(11809,plain,
% 1.61/1.80 (until5(s46)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2598, 11808])).
% 1.61/1.80 tff(11810,plain,
% 1.61/1.80 (~node4(s46)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2602, 595, 11797])).
% 1.61/1.80 tff(11811,plain,
% 1.61/1.80 (xuntil6(s46) | (~until5(s46))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2609, 614, 11810])).
% 1.61/1.80 tff(11812,plain,
% 1.61/1.80 (xuntil6(s46)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11811, 11809])).
% 1.61/1.80 tff(11813,plain,
% 1.61/1.80 (until5(s47)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2615, 11812])).
% 1.61/1.80 tff(11814,plain,
% 1.61/1.80 (~node4(s47)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2619, 595, 11796])).
% 1.61/1.80 tff(11815,plain,
% 1.61/1.80 (xuntil6(s47) | (~until5(s47))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2626, 614, 11814])).
% 1.61/1.80 tff(11816,plain,
% 1.61/1.80 (xuntil6(s47)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11815, 11813])).
% 1.61/1.80 tff(11817,plain,
% 1.61/1.80 (until5(s48)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2632, 11816])).
% 1.61/1.80 tff(11818,plain,
% 1.61/1.80 (~node4(s48)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2636, 595, 11795])).
% 1.61/1.80 tff(11819,plain,
% 1.61/1.80 (xuntil6(s48) | (~until5(s48))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2643, 614, 11818])).
% 1.61/1.80 tff(11820,plain,
% 1.61/1.80 (xuntil6(s48)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11819, 11817])).
% 1.61/1.80 tff(11821,plain,
% 1.61/1.80 (until5(s49)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2649, 11820])).
% 1.61/1.80 tff(11822,plain,
% 1.61/1.80 (~node4(s49)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2653, 595, 11794])).
% 1.61/1.80 tff(11823,plain,
% 1.61/1.80 (xuntil6(s49) | (~until5(s49))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2660, 614, 11822])).
% 1.61/1.80 tff(11824,plain,
% 1.61/1.80 (xuntil6(s49)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11823, 11821])).
% 1.61/1.80 tff(11825,plain,
% 1.61/1.80 (until5(s50)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2666, 11824])).
% 1.61/1.80 tff(11826,plain,
% 1.61/1.80 (~node4(s50)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2670, 595, 11793])).
% 1.61/1.80 tff(11827,plain,
% 1.61/1.80 (xuntil6(s50) | (~until5(s50))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2677, 614, 11826])).
% 1.61/1.80 tff(11828,plain,
% 1.61/1.80 (xuntil6(s50)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11827, 11825])).
% 1.61/1.80 tff(11829,plain,
% 1.61/1.80 (until5(s51)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2683, 11828])).
% 1.61/1.80 tff(11830,plain,
% 1.61/1.80 (~node4(s51)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2687, 595, 11792])).
% 1.61/1.80 tff(11831,plain,
% 1.61/1.80 (xuntil6(s51) | (~until5(s51))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2694, 614, 11830])).
% 1.61/1.80 tff(11832,plain,
% 1.61/1.80 (xuntil6(s51)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11831, 11829])).
% 1.61/1.80 tff(11833,plain,
% 1.61/1.80 (until5(s52)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2700, 11832])).
% 1.61/1.80 tff(11834,plain,
% 1.61/1.80 (~node4(s52)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2704, 595, 11791])).
% 1.61/1.80 tff(11835,plain,
% 1.61/1.80 (xuntil6(s52) | (~until5(s52))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2711, 614, 11834])).
% 1.61/1.80 tff(11836,plain,
% 1.61/1.80 (xuntil6(s52)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11835, 11833])).
% 1.61/1.80 tff(11837,plain,
% 1.61/1.80 (until5(s53)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2717, 11836])).
% 1.61/1.80 tff(11838,plain,
% 1.61/1.80 (~node4(s53)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2721, 595, 11790])).
% 1.61/1.80 tff(11839,plain,
% 1.61/1.80 (xuntil6(s53) | (~until5(s53))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2728, 614, 11838])).
% 1.61/1.80 tff(11840,plain,
% 1.61/1.80 (xuntil6(s53)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11839, 11837])).
% 1.61/1.80 tff(11841,plain,
% 1.61/1.80 (until5(s54)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2734, 11840])).
% 1.61/1.80 tff(11842,plain,
% 1.61/1.80 (~node4(s54)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2738, 595, 11789])).
% 1.61/1.80 tff(11843,plain,
% 1.61/1.80 (xuntil6(s54) | (~until5(s54))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2745, 614, 11842])).
% 1.61/1.80 tff(11844,plain,
% 1.61/1.80 (xuntil6(s54)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11843, 11841])).
% 1.61/1.80 tff(11845,plain,
% 1.61/1.80 (until5(s55)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2751, 11844])).
% 1.61/1.80 tff(11846,plain,
% 1.61/1.80 (~node4(s55)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2755, 595, 11788])).
% 1.61/1.80 tff(11847,plain,
% 1.61/1.80 (xuntil6(s55) | (~until5(s55))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2762, 614, 11846])).
% 1.61/1.80 tff(11848,plain,
% 1.61/1.80 (xuntil6(s55)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11847, 11845])).
% 1.61/1.80 tff(11849,plain,
% 1.61/1.80 (until5(s56)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2768, 11848])).
% 1.61/1.80 tff(11850,plain,
% 1.61/1.80 (~node4(s56)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2772, 595, 11787])).
% 1.61/1.80 tff(11851,plain,
% 1.61/1.80 (xuntil6(s56) | (~until5(s56))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2779, 614, 11850])).
% 1.61/1.80 tff(11852,plain,
% 1.61/1.80 (xuntil6(s56)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11851, 11849])).
% 1.61/1.80 tff(11853,plain,
% 1.61/1.80 (until5(s57)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2785, 11852])).
% 1.61/1.80 tff(11854,plain,
% 1.61/1.80 (~node4(s57)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2789, 595, 11786])).
% 1.61/1.80 tff(11855,plain,
% 1.61/1.80 (xuntil6(s57) | (~until5(s57))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2796, 614, 11854])).
% 1.61/1.80 tff(11856,plain,
% 1.61/1.80 (xuntil6(s57)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11855, 11853])).
% 1.61/1.80 tff(11857,plain,
% 1.61/1.80 (until5(s58)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2802, 11856])).
% 1.61/1.80 tff(11858,plain,
% 1.61/1.80 (~node4(s58)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2806, 595, 11785])).
% 1.61/1.80 tff(11859,plain,
% 1.61/1.80 (xuntil6(s58) | (~until5(s58))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2813, 614, 11858])).
% 1.61/1.80 tff(11860,plain,
% 1.61/1.80 (xuntil6(s58)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11859, 11857])).
% 1.61/1.80 tff(11861,plain,
% 1.61/1.80 (until5(s59)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2819, 11860])).
% 1.61/1.80 tff(11862,plain,
% 1.61/1.80 (~node4(s59)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2823, 595, 11784])).
% 1.61/1.80 tff(11863,plain,
% 1.61/1.80 (xuntil6(s59) | (~until5(s59))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2830, 614, 11862])).
% 1.61/1.80 tff(11864,plain,
% 1.61/1.80 (xuntil6(s59)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11863, 11861])).
% 1.61/1.80 tff(11865,plain,
% 1.61/1.80 (until5(s60)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2836, 11864])).
% 1.61/1.80 tff(11866,plain,
% 1.61/1.80 (~node4(s60)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2840, 595, 11783])).
% 1.61/1.80 tff(11867,plain,
% 1.61/1.80 (xuntil6(s60) | (~until5(s60))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2847, 614, 11866])).
% 1.61/1.80 tff(11868,plain,
% 1.61/1.80 (xuntil6(s60)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11867, 11865])).
% 1.61/1.80 tff(11869,plain,
% 1.61/1.80 (until5(s61)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2853, 11868])).
% 1.61/1.80 tff(11870,plain,
% 1.61/1.80 (~node4(s61)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2857, 595, 11782])).
% 1.61/1.80 tff(11871,plain,
% 1.61/1.80 (xuntil6(s61) | (~until5(s61))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2864, 614, 11870])).
% 1.61/1.80 tff(11872,plain,
% 1.61/1.80 (xuntil6(s61)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11871, 11869])).
% 1.61/1.80 tff(11873,plain,
% 1.61/1.80 (until5(s62)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2870, 11872])).
% 1.61/1.80 tff(11874,plain,
% 1.61/1.80 (~node4(s62)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2874, 595, 11781])).
% 1.61/1.80 tff(11875,plain,
% 1.61/1.80 (xuntil6(s62) | (~until5(s62))),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[2881, 614, 11874])).
% 1.61/1.80 tff(11876,plain,
% 1.61/1.80 (xuntil6(s62)),
% 1.61/1.80 inference(unit_resolution,[status(thm)],[11875, 11873])).
% 1.61/1.81 tff(11877,plain,
% 1.61/1.81 ($false),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[2887, 11876, 11780])).
% 1.61/1.81 tff(11878,plain,(always3(s81) | xuntil6(s81) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.81 tff(11879,plain,
% 1.61/1.81 (always3(s81)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11878, 11688, 8122])).
% 1.61/1.81 tff(11880,plain,
% 1.61/1.81 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s81)) | (~m_main_v_state(s81, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s81)) | (~m_main_v_state(s81, c_busy)))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11881,plain,
% 1.61/1.81 (((~m_main_v_state(s81, c_busy)) | (~always3(s81))) <=> ((~always3(s81)) | (~m_main_v_state(s81, c_busy)))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11882,plain,
% 1.61/1.81 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s81, c_busy)) | (~always3(s81)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s81)) | (~m_main_v_state(s81, c_busy))))),
% 1.61/1.81 inference(monotonicity,[status(thm)],[11881])).
% 1.61/1.81 tff(11883,plain,
% 1.61/1.81 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s81, c_busy)) | (~always3(s81)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s81)) | (~m_main_v_state(s81, c_busy)))),
% 1.61/1.81 inference(transitivity,[status(thm)],[11882, 11880])).
% 1.61/1.81 tff(11884,plain,
% 1.61/1.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s81, c_busy)) | (~always3(s81)))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(11885,plain,
% 1.61/1.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s81)) | (~m_main_v_state(s81, c_busy))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[11884, 11883])).
% 1.61/1.81 tff(11886,plain,
% 1.61/1.81 (~m_main_v_state(s81, c_busy)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11885, 3154, 11879])).
% 1.61/1.81 tff(11887,plain,
% 1.61/1.81 (always3(s82)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[885, 11879])).
% 1.61/1.81 tff(11888,plain,
% 1.61/1.81 (~m_main_v_state(s82, c_busy)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11236, 3154, 11887])).
% 1.61/1.81 tff(11889,plain,
% 1.61/1.81 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s81, c_busy) | m_main_v_state(s81, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s81, c_busy) | m_main_v_state(s81, c_ready))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11890,plain,
% 1.61/1.81 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s81, c_busy) | m_main_v_state(s81, c_ready))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(11891,plain,
% 1.61/1.81 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s81, c_busy) | m_main_v_state(s81, c_ready)),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[11890, 11889])).
% 1.61/1.81 tff(11892,plain,
% 1.61/1.81 (m_main_v_state(s81, c_ready)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11891, 19, 11886])).
% 1.61/1.81 tff(11893,plain,
% 1.61/1.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s81, s82)) | node2(s81, s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s81, s82)) | node2(s81, s82))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11894,plain,
% 1.61/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s81, s82)) | node2(s81, s82))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(11895,plain,
% 1.61/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s81, s82)) | node2(s81, s82)),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[11894, 11893])).
% 1.61/1.81 tff(11896,plain,
% 1.61/1.81 (node2(s81, s82)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11895, 7, 881])).
% 1.61/1.81 tff(11897,plain,
% 1.61/1.81 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s81, c_ready)) | (~node2(s81, s82)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s81)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s81, c_ready)) | (~node2(s81, s82)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s81)))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11898,plain,
% 1.61/1.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s81, c_ready)) | (~node2(s81, s82)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s81)))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(11899,plain,
% 1.61/1.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s81, c_ready)) | (~node2(s81, s82)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s81))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[11898, 11897])).
% 1.61/1.81 tff(11900,plain,
% 1.61/1.81 ((~m_main_v_state(s81, c_ready)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s81))),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11899, 3175, 11896])).
% 1.61/1.81 tff(11901,plain,
% 1.61/1.81 (~m_main_v_request(s81)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11900, 11892, 11888])).
% 1.61/1.81 tff(11902,plain,
% 1.61/1.81 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s81) | (~node4(s81)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s81) | (~node4(s81)))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11903,plain,
% 1.61/1.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s81) | (~node4(s81)))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(11904,plain,
% 1.61/1.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s81) | (~node4(s81))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[11903, 11902])).
% 1.61/1.81 tff(11905,plain,
% 1.61/1.81 (~node4(s81)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11904, 3141, 11901])).
% 1.61/1.81 tff(11906,plain,
% 1.61/1.81 (~until5(s81)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11692, 11905])).
% 1.61/1.81 tff(11907,plain,
% 1.61/1.81 (~xuntil6(s80)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[905, 11906])).
% 1.61/1.81 tff(11908,assumption,(until5(s80)), introduced(assumption)).
% 1.61/1.81 tff(11909,plain,
% 1.61/1.81 (xuntil6(s80) | node4(s80)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[925, 614, 11908])).
% 1.61/1.81 tff(11910,plain,
% 1.61/1.81 (node4(s80)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11909, 11907])).
% 1.61/1.81 tff(11911,plain,
% 1.61/1.81 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s80) | (~node4(s80)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s80) | (~node4(s80)))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11912,plain,
% 1.61/1.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s80) | (~node4(s80)))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(11913,plain,
% 1.61/1.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s80) | (~node4(s80))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[11912, 11911])).
% 1.61/1.81 tff(11914,plain,
% 1.61/1.81 (m_main_v_request(s80)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11913, 3141, 11910])).
% 1.61/1.81 tff(11915,plain,
% 1.61/1.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s80, s81)) | node2(s80, s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s80, s81)) | node2(s80, s81))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11916,plain,
% 1.61/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s80, s81)) | node2(s80, s81))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(11917,plain,
% 1.61/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s80, s81)) | node2(s80, s81)),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[11916, 11915])).
% 1.61/1.81 tff(11918,plain,
% 1.61/1.81 (node2(s80, s81)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11917, 7, 910])).
% 1.61/1.81 tff(11919,plain,
% 1.61/1.81 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s80, c_ready)) | (~node2(s80, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s80, c_ready)) | (~node2(s80, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80)))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11920,plain,
% 1.61/1.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s80, c_ready)) | (~node2(s80, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80)))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(11921,plain,
% 1.61/1.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s80, c_ready)) | (~node2(s80, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[11920, 11919])).
% 1.61/1.81 tff(11922,plain,
% 1.61/1.81 ((~m_main_v_state(s80, c_ready)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80))),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11921, 3175, 11918])).
% 1.61/1.81 tff(11923,plain,
% 1.61/1.81 (~m_main_v_state(s80, c_ready)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11922, 11914, 11886])).
% 1.61/1.81 tff(11924,plain,
% 1.61/1.81 (~always3(s79)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[943, 9381])).
% 1.61/1.81 tff(11925,plain,
% 1.61/1.81 (~always3(s78)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[972, 11924])).
% 1.61/1.81 tff(11926,plain,
% 1.61/1.81 (~always3(s77)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[1001, 11925])).
% 1.61/1.81 tff(11927,plain,
% 1.61/1.81 (~always3(s76)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[1030, 11926])).
% 1.61/1.81 tff(11928,plain,
% 1.61/1.81 (~node4(s76)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[1034, 595, 11927])).
% 1.61/1.81 tff(11929,plain,
% 1.61/1.81 (~always3(s75)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[1059, 11927])).
% 1.61/1.81 tff(11930,plain,
% 1.61/1.81 (~node4(s75)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[1063, 595, 11929])).
% 1.61/1.81 tff(11931,plain,
% 1.61/1.81 (xuntil6(s75)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[8926, 11930])).
% 1.61/1.81 tff(11932,plain,
% 1.61/1.81 (until5(s76)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[1050, 11931])).
% 1.61/1.81 tff(11933,plain,
% 1.61/1.81 (xuntil6(s76)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[1041, 614, 11932, 11928])).
% 1.61/1.81 tff(11934,plain,
% 1.61/1.81 (until5(s77)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[1021, 11933])).
% 1.61/1.81 tff(11935,plain,
% 1.61/1.81 (~node4(s77)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[1005, 595, 11926])).
% 1.61/1.81 tff(11936,plain,
% 1.61/1.81 (xuntil6(s77) | (~until5(s77))),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[1012, 614, 11935])).
% 1.61/1.81 tff(11937,plain,
% 1.61/1.81 (xuntil6(s77)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11936, 11934])).
% 1.61/1.81 tff(11938,plain,
% 1.61/1.81 (until5(s78)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[992, 11937])).
% 1.61/1.81 tff(11939,plain,
% 1.61/1.81 (~node4(s78)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[976, 595, 11925])).
% 1.61/1.81 tff(11940,plain,
% 1.61/1.81 (xuntil6(s78) | (~until5(s78))),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[983, 614, 11939])).
% 1.61/1.81 tff(11941,plain,
% 1.61/1.81 (xuntil6(s78)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11940, 11938])).
% 1.61/1.81 tff(11942,plain,
% 1.61/1.81 (until5(s79)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[963, 11941])).
% 1.61/1.81 tff(11943,plain,
% 1.61/1.81 (~node4(s79)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[947, 595, 11924])).
% 1.61/1.81 tff(11944,plain,
% 1.61/1.81 (xuntil6(s79) | (~until5(s79))),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[954, 614, 11943])).
% 1.61/1.81 tff(11945,plain,
% 1.61/1.81 (xuntil6(s79)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11944, 11942])).
% 1.61/1.81 tff(11946,plain,
% 1.61/1.81 (until5(s80)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[934, 11945])).
% 1.61/1.81 tff(11947,assumption,(~xuntil6(s80)), introduced(assumption)).
% 1.61/1.81 tff(11948,plain,
% 1.61/1.81 (node4(s80) | (~until5(s80))),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[925, 614, 11947])).
% 1.61/1.81 tff(11949,plain,
% 1.61/1.81 (node4(s80)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11948, 11946])).
% 1.61/1.81 tff(11950,plain,
% 1.61/1.81 ($false),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[918, 595, 9381, 11949])).
% 1.61/1.81 tff(11951,plain,(always3(s80) | xuntil6(s80) | (~until5(s75))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.81 tff(11952,plain,
% 1.61/1.81 (always3(s80)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11951, 11907, 8915])).
% 1.61/1.81 tff(11953,plain,
% 1.61/1.81 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s80)) | (~m_main_v_state(s80, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s80)) | (~m_main_v_state(s80, c_busy)))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11954,plain,
% 1.61/1.81 (((~m_main_v_state(s80, c_busy)) | (~always3(s80))) <=> ((~always3(s80)) | (~m_main_v_state(s80, c_busy)))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11955,plain,
% 1.61/1.81 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s80, c_busy)) | (~always3(s80)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s80)) | (~m_main_v_state(s80, c_busy))))),
% 1.61/1.81 inference(monotonicity,[status(thm)],[11954])).
% 1.61/1.81 tff(11956,plain,
% 1.61/1.81 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s80, c_busy)) | (~always3(s80)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s80)) | (~m_main_v_state(s80, c_busy)))),
% 1.61/1.81 inference(transitivity,[status(thm)],[11955, 11953])).
% 1.61/1.81 tff(11957,plain,
% 1.61/1.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s80, c_busy)) | (~always3(s80)))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(11958,plain,
% 1.61/1.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s80)) | (~m_main_v_state(s80, c_busy))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[11957, 11956])).
% 1.61/1.81 tff(11959,plain,
% 1.61/1.81 (~m_main_v_state(s80, c_busy)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11958, 3154, 11952])).
% 1.61/1.81 tff(11960,plain,
% 1.61/1.81 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s80, c_busy) | m_main_v_state(s80, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s80, c_busy) | m_main_v_state(s80, c_ready))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11961,plain,
% 1.61/1.81 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s80, c_busy) | m_main_v_state(s80, c_ready))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(11962,plain,
% 1.61/1.81 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s80, c_busy) | m_main_v_state(s80, c_ready)),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[11961, 11960])).
% 1.61/1.81 tff(11963,plain,
% 1.61/1.81 ($false),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11962, 19, 11959, 11923])).
% 1.61/1.81 tff(11964,plain,(xuntil6(s81) | (~until5(s80)) | (~until5(s75)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.81 tff(11965,plain,
% 1.61/1.81 (~until5(s80)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11964, 11687, 8915, 8122])).
% 1.61/1.81 tff(11966,plain,
% 1.61/1.81 (~xuntil6(s79)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[934, 11965])).
% 1.61/1.81 tff(11967,assumption,(~xuntil6(s79)), introduced(assumption)).
% 1.61/1.81 tff(11968,plain,
% 1.61/1.81 (~always3(s78)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[972, 9642])).
% 1.61/1.81 tff(11969,plain,
% 1.61/1.81 (~node4(s78)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[976, 595, 11968])).
% 1.61/1.81 tff(11970,plain,
% 1.61/1.81 (xuntil6(s78) | node4(s78)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[983, 614, 11639])).
% 1.61/1.81 tff(11971,plain,
% 1.61/1.81 (xuntil6(s78)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11970, 11969])).
% 1.61/1.81 tff(11972,plain,
% 1.61/1.81 (until5(s79)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[963, 11971])).
% 1.61/1.81 tff(11973,plain,
% 1.61/1.81 (node4(s79) | (~until5(s79))),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[954, 614, 11967])).
% 1.61/1.81 tff(11974,plain,
% 1.61/1.81 (node4(s79)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11973, 11972])).
% 1.61/1.81 tff(11975,plain,
% 1.61/1.81 ($false),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[947, 595, 9642, 11974])).
% 1.61/1.81 tff(11976,plain,(always3(s79) | xuntil6(s79) | (~until5(s78))), inference(lemma,lemma(discharge,[]))).
% 1.61/1.81 tff(11977,plain,
% 1.61/1.81 (always3(s79)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11976, 11639, 11967])).
% 1.61/1.81 tff(11978,plain,
% 1.61/1.81 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s79)) | (~m_main_v_state(s79, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s79)) | (~m_main_v_state(s79, c_busy)))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11979,plain,
% 1.61/1.81 (((~m_main_v_state(s79, c_busy)) | (~always3(s79))) <=> ((~always3(s79)) | (~m_main_v_state(s79, c_busy)))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11980,plain,
% 1.61/1.81 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s79, c_busy)) | (~always3(s79)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s79)) | (~m_main_v_state(s79, c_busy))))),
% 1.61/1.81 inference(monotonicity,[status(thm)],[11979])).
% 1.61/1.81 tff(11981,plain,
% 1.61/1.81 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s79, c_busy)) | (~always3(s79)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s79)) | (~m_main_v_state(s79, c_busy)))),
% 1.61/1.81 inference(transitivity,[status(thm)],[11980, 11978])).
% 1.61/1.81 tff(11982,plain,
% 1.61/1.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s79, c_busy)) | (~always3(s79)))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(11983,plain,
% 1.61/1.81 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s79)) | (~m_main_v_state(s79, c_busy))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[11982, 11981])).
% 1.61/1.81 tff(11984,plain,
% 1.61/1.81 (~m_main_v_state(s79, c_busy)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11983, 3154, 11977])).
% 1.61/1.81 tff(11985,assumption,(~m_main_v_state(s80, c_busy)), introduced(assumption)).
% 1.61/1.81 tff(11986,plain,
% 1.61/1.81 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s79, c_busy) | m_main_v_state(s79, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s79, c_busy) | m_main_v_state(s79, c_ready))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11987,plain,
% 1.61/1.81 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s79, c_busy) | m_main_v_state(s79, c_ready))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(11988,plain,
% 1.61/1.81 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s79, c_busy) | m_main_v_state(s79, c_ready)),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[11987, 11986])).
% 1.61/1.81 tff(11989,plain,
% 1.61/1.81 (m_main_v_state(s79, c_ready)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11988, 19, 11984])).
% 1.61/1.81 tff(11990,plain,
% 1.61/1.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s79, s80)) | node2(s79, s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s79, s80)) | node2(s79, s80))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11991,plain,
% 1.61/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s79, s80)) | node2(s79, s80))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(11992,plain,
% 1.61/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s79, s80)) | node2(s79, s80)),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[11991, 11990])).
% 1.61/1.81 tff(11993,plain,
% 1.61/1.81 (node2(s79, s80)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11992, 7, 939])).
% 1.61/1.81 tff(11994,plain,
% 1.61/1.81 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s79, c_ready)) | (~node2(s79, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s79, c_ready)) | (~node2(s79, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79)))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(11995,plain,
% 1.61/1.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s79, c_ready)) | (~node2(s79, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79)))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(11996,plain,
% 1.61/1.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s79, c_ready)) | (~node2(s79, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[11995, 11994])).
% 1.61/1.81 tff(11997,plain,
% 1.61/1.81 ((~m_main_v_state(s79, c_ready)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s79))),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11996, 3175, 11993])).
% 1.61/1.81 tff(11998,plain,
% 1.61/1.81 (~m_main_v_request(s79)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11997, 11989, 11985])).
% 1.61/1.81 tff(11999,plain,
% 1.61/1.81 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s79) | (~node4(s79)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s79) | (~node4(s79)))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(12000,plain,
% 1.61/1.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s79) | (~node4(s79)))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(12001,plain,
% 1.61/1.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s79) | (~node4(s79))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[12000, 11999])).
% 1.61/1.81 tff(12002,plain,
% 1.61/1.81 (~node4(s79)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[12001, 3141, 11998])).
% 1.61/1.81 tff(12003,plain,
% 1.61/1.81 (~until5(s79)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11973, 12002])).
% 1.61/1.81 tff(12004,plain,
% 1.61/1.81 (~xuntil6(s78)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[963, 12003])).
% 1.61/1.81 tff(12005,plain,
% 1.61/1.81 (node4(s78)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[11970, 12004])).
% 1.61/1.81 tff(12006,plain,
% 1.61/1.81 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s78) | (~node4(s78)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s78) | (~node4(s78)))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(12007,plain,
% 1.61/1.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s78) | (~node4(s78)))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(12008,plain,
% 1.61/1.81 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s78) | (~node4(s78))),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[12007, 12006])).
% 1.61/1.81 tff(12009,plain,
% 1.61/1.81 (m_main_v_request(s78)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[12008, 3141, 12005])).
% 1.61/1.81 tff(12010,plain,
% 1.61/1.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s78, s79)) | node2(s78, s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s78, s79)) | node2(s78, s79))),
% 1.61/1.81 inference(rewrite,[status(thm)],[])).
% 1.61/1.81 tff(12011,plain,
% 1.61/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s78, s79)) | node2(s78, s79))),
% 1.61/1.81 inference(quant_inst,[status(thm)],[])).
% 1.61/1.81 tff(12012,plain,
% 1.61/1.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s78, s79)) | node2(s78, s79)),
% 1.61/1.81 inference(modus_ponens,[status(thm)],[12011, 12010])).
% 1.61/1.81 tff(12013,plain,
% 1.61/1.81 (node2(s78, s79)),
% 1.61/1.81 inference(unit_resolution,[status(thm)],[12012, 7, 968])).
% 1.61/1.81 tff(12014,plain,
% 1.61/1.81 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s78, c_ready)) | (~node2(s78, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s78, c_ready)) | (~node2(s78, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78)))),
% 1.65/1.81 inference(rewrite,[status(thm)],[])).
% 1.65/1.81 tff(12015,plain,
% 1.65/1.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s78, c_ready)) | (~node2(s78, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78)))),
% 1.65/1.81 inference(quant_inst,[status(thm)],[])).
% 1.65/1.81 tff(12016,plain,
% 1.65/1.81 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s78, c_ready)) | (~node2(s78, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78))),
% 1.65/1.81 inference(modus_ponens,[status(thm)],[12015, 12014])).
% 1.65/1.81 tff(12017,plain,
% 1.65/1.81 ((~m_main_v_state(s78, c_ready)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s78))),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12016, 3175, 12013])).
% 1.65/1.81 tff(12018,plain,
% 1.65/1.81 (~m_main_v_state(s78, c_ready)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12017, 12009, 11984])).
% 1.65/1.81 tff(12019,plain,
% 1.65/1.81 (always3(s78)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[976, 595, 12005])).
% 1.65/1.81 tff(12020,plain,
% 1.65/1.81 (~m_main_v_state(s78, c_busy)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[8938, 3154, 12019])).
% 1.65/1.81 tff(12021,plain,
% 1.65/1.81 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s78, c_busy) | m_main_v_state(s78, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s78, c_busy) | m_main_v_state(s78, c_ready))),
% 1.65/1.81 inference(rewrite,[status(thm)],[])).
% 1.65/1.81 tff(12022,plain,
% 1.65/1.81 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s78, c_busy) | m_main_v_state(s78, c_ready))),
% 1.65/1.81 inference(quant_inst,[status(thm)],[])).
% 1.65/1.81 tff(12023,plain,
% 1.65/1.81 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s78, c_busy) | m_main_v_state(s78, c_ready)),
% 1.65/1.81 inference(modus_ponens,[status(thm)],[12022, 12021])).
% 1.65/1.81 tff(12024,plain,
% 1.65/1.81 ($false),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12023, 19, 12020, 12018])).
% 1.65/1.81 tff(12025,plain,((~until5(s78)) | xuntil6(s79) | m_main_v_state(s80, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.65/1.81 tff(12026,plain,
% 1.65/1.81 (m_main_v_state(s80, c_busy)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12025, 11966, 11639])).
% 1.65/1.81 tff(12027,plain,
% 1.65/1.81 (~always3(s77)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[1001, 11968])).
% 1.65/1.81 tff(12028,plain,
% 1.65/1.81 (~trans(s99, s77)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[10694, 12027])).
% 1.65/1.81 tff(12029,plain,
% 1.65/1.81 (~trans(s99, s78)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[10843, 11968])).
% 1.65/1.81 tff(12030,plain,
% 1.65/1.81 (~trans(s99, s79)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[10854, 9642])).
% 1.65/1.81 tff(12031,plain,
% 1.65/1.81 (xuntil6(s77)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[8930, 12027, 8915])).
% 1.65/1.81 tff(12032,plain,
% 1.65/1.81 (until5(s78)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[992, 12031])).
% 1.65/1.81 tff(12033,plain,
% 1.65/1.81 (xuntil6(s79)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[11976, 12032, 9642])).
% 1.65/1.81 tff(12034,plain,
% 1.65/1.81 (until5(s80)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[934, 12033])).
% 1.65/1.81 tff(12035,plain,
% 1.65/1.81 (xuntil6(s81)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[11964, 12034, 8915, 8122])).
% 1.65/1.81 tff(12036,plain,
% 1.65/1.81 (until5(s82)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[876, 12035])).
% 1.65/1.81 tff(12037,plain,
% 1.65/1.81 (xuntil6(s99)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[11685, 12036, 3009])).
% 1.65/1.81 tff(12038,plain,
% 1.65/1.81 (~trans(s99, s99)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[4932, 12037, 8442])).
% 1.65/1.81 tff(12039,assumption,(~m_main_v_state(s98, c_ready)), introduced(assumption)).
% 1.65/1.81 tff(12040,plain,
% 1.65/1.81 ($false),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9177, 19, 9202, 12039])).
% 1.65/1.81 tff(12041,plain,(m_main_v_state(s98, c_ready) | m_main_v_state(s98, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.65/1.81 tff(12042,plain,
% 1.65/1.81 (m_main_v_state(s98, c_ready)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12041, 9202])).
% 1.65/1.81 tff(12043,plain,
% 1.65/1.81 ((~m_main_v_state(s98, c_ready)) | (~m_main_v_request(s98))),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9166, 10709])).
% 1.65/1.81 tff(12044,plain,
% 1.65/1.81 (~m_main_v_request(s98)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12043, 12042])).
% 1.65/1.81 tff(12045,plain,
% 1.65/1.81 (~node4(s98)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9157, 3141, 12044])).
% 1.65/1.81 tff(12046,assumption,(~xuntil2p8(s98)), introduced(assumption)).
% 1.65/1.81 tff(12047,plain,
% 1.65/1.81 (node4(s98) | (~until2p7(s98))),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[3074, 3051, 12046])).
% 1.65/1.81 tff(12048,plain,
% 1.65/1.81 (~until2p7(s98)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12047, 12045])).
% 1.65/1.81 tff(12049,plain,
% 1.65/1.81 (~xuntil2p8(s97)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[3090, 12048])).
% 1.65/1.81 tff(12050,plain,
% 1.65/1.81 ((~trans(s99, s95)) | always3(s95)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9486, 5932])).
% 1.65/1.81 tff(12051,plain,
% 1.65/1.81 (always3(s95)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12050, 4891])).
% 1.65/1.81 tff(12052,plain,
% 1.65/1.81 (always3(s96)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[490, 12051])).
% 1.65/1.81 tff(12053,plain,
% 1.65/1.81 (always3(s97)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[478, 12052])).
% 1.65/1.81 tff(12054,plain,
% 1.65/1.81 (~m_main_v_state(s97, c_busy)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9200, 3154, 12053])).
% 1.65/1.81 tff(12055,plain,
% 1.65/1.81 (~m_main_v_state(s96, c_busy)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9097, 3154, 12052])).
% 1.65/1.81 tff(12056,plain,
% 1.65/1.81 (m_main_v_state(s96, c_ready)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9240, 19, 12055])).
% 1.65/1.81 tff(12057,plain,
% 1.65/1.81 (~m_main_v_request(s96)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9234, 12056, 12054])).
% 1.65/1.81 tff(12058,plain,
% 1.65/1.81 (~node4(s96)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9225, 3141, 12057])).
% 1.65/1.81 tff(12059,plain,
% 1.65/1.81 (m_main_v_state(s97, c_ready)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9205, 19, 12054])).
% 1.65/1.81 tff(12060,plain,
% 1.65/1.81 (~m_main_v_request(s97)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9214, 12059, 9202])).
% 1.65/1.81 tff(12061,plain,
% 1.65/1.81 (~node4(s97)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9218, 3141, 12060])).
% 1.65/1.81 tff(12062,assumption,(~xuntil2p8(s97)), introduced(assumption)).
% 1.65/1.81 tff(12063,plain,
% 1.65/1.81 (node4(s97) | (~until2p7(s97))),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[3094, 3051, 12062])).
% 1.65/1.81 tff(12064,plain,
% 1.65/1.81 (~until2p7(s97)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12063, 12061])).
% 1.65/1.81 tff(12065,plain,
% 1.65/1.81 (~xuntil2p8(s96)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[3099, 12064])).
% 1.65/1.81 tff(12066,plain,
% 1.65/1.81 (~m_main_v_state(s95, c_busy)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9089, 3154, 12051])).
% 1.65/1.81 tff(12067,plain,
% 1.65/1.81 (m_main_v_state(s95, c_ready)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9117, 19, 12066])).
% 1.65/1.81 tff(12068,plain,
% 1.65/1.81 (~m_main_v_request(s95)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9113, 12067, 12055])).
% 1.65/1.81 tff(12069,plain,
% 1.65/1.81 (~node4(s95)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9104, 3141, 12068])).
% 1.65/1.81 tff(12070,plain,
% 1.65/1.81 (until2p7(s95)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[4899, 4891, 4303])).
% 1.65/1.81 tff(12071,plain,
% 1.65/1.81 (node4(s95) | xuntil2p8(s95)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[3115, 3051, 12070])).
% 1.65/1.81 tff(12072,plain,
% 1.65/1.81 (xuntil2p8(s95)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12071, 12069])).
% 1.65/1.81 tff(12073,plain,
% 1.65/1.81 (until2p7(s96)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[3110, 12072])).
% 1.65/1.81 tff(12074,plain,
% 1.65/1.81 ($false),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[3104, 3051, 12073, 12065, 12058])).
% 1.65/1.81 tff(12075,plain,((~trans(s99, s95)) | xuntil2p8(s97) | m_main_v_state(s98, c_busy) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.81 tff(12076,plain,
% 1.65/1.81 (~trans(s99, s95)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12075, 12049, 9202, 4303])).
% 1.65/1.81 tff(12077,plain,
% 1.65/1.81 ((~trans(s99, s94)) | always3(s94)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9496, 5932])).
% 1.65/1.81 tff(12078,plain,
% 1.65/1.81 (always3(s94)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12077, 5590])).
% 1.65/1.81 tff(12079,plain,
% 1.65/1.81 (always3(s95)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[502, 12078])).
% 1.65/1.81 tff(12080,plain,
% 1.65/1.81 (~m_main_v_state(s95, c_busy)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9089, 3154, 12079])).
% 1.65/1.81 tff(12081,plain,
% 1.65/1.81 (~m_main_v_state(s94, c_busy)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[3160, 3154, 12078])).
% 1.65/1.81 tff(12082,plain,
% 1.65/1.81 (m_main_v_state(s94, c_ready)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9142, 19, 12081])).
% 1.65/1.81 tff(12083,plain,
% 1.65/1.81 (~m_main_v_request(s94)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9138, 12082, 12080])).
% 1.65/1.81 tff(12084,plain,
% 1.65/1.81 (~node4(s94)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9129, 3141, 12083])).
% 1.65/1.81 tff(12085,plain,
% 1.65/1.81 (until2p7(s94)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[5598, 5590, 4303])).
% 1.65/1.81 tff(12086,plain,
% 1.65/1.81 (node4(s94) | xuntil2p8(s94)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[3126, 3051, 12085])).
% 1.65/1.81 tff(12087,plain,
% 1.65/1.81 (xuntil2p8(s94)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12086, 12084])).
% 1.65/1.81 tff(12088,plain,
% 1.65/1.81 (always3(s96)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[490, 12079])).
% 1.65/1.81 tff(12089,plain,
% 1.65/1.81 (always3(s97)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[478, 12088])).
% 1.65/1.81 tff(12090,plain,
% 1.65/1.81 (~m_main_v_state(s97, c_busy)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9200, 3154, 12089])).
% 1.65/1.81 tff(12091,plain,
% 1.65/1.81 (~m_main_v_state(s96, c_busy)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9097, 3154, 12088])).
% 1.65/1.81 tff(12092,plain,
% 1.65/1.81 (m_main_v_state(s96, c_ready)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9240, 19, 12091])).
% 1.65/1.81 tff(12093,plain,
% 1.65/1.81 (~m_main_v_request(s96)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9234, 12092, 12090])).
% 1.65/1.81 tff(12094,plain,
% 1.65/1.81 (~node4(s96)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9225, 3141, 12093])).
% 1.65/1.81 tff(12095,plain,
% 1.65/1.81 (always3(s98)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[466, 12089])).
% 1.65/1.81 tff(12096,plain,
% 1.65/1.81 (~m_main_v_state(s98, c_busy)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9173, 3154, 12095])).
% 1.65/1.81 tff(12097,plain,
% 1.65/1.81 (m_main_v_state(s97, c_ready)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9205, 19, 12090])).
% 1.65/1.81 tff(12098,plain,
% 1.65/1.81 (~m_main_v_request(s97)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9214, 12097, 12096])).
% 1.65/1.81 tff(12099,plain,
% 1.65/1.81 (~node4(s97)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9218, 3141, 12098])).
% 1.65/1.81 tff(12100,plain,
% 1.65/1.81 (m_main_v_state(s98, c_ready)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12041, 12096])).
% 1.65/1.81 tff(12101,plain,
% 1.65/1.81 (~m_main_v_request(s98)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12043, 12100])).
% 1.65/1.81 tff(12102,plain,
% 1.65/1.81 (~node4(s98)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9157, 3141, 12101])).
% 1.65/1.81 tff(12103,plain,
% 1.65/1.81 (~until2p7(s98)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12047, 12102])).
% 1.65/1.81 tff(12104,plain,
% 1.65/1.81 (~xuntil2p8(s97)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[3090, 12103])).
% 1.65/1.81 tff(12105,plain,
% 1.65/1.81 (~until2p7(s97)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[3094, 3051, 12104, 12099])).
% 1.65/1.81 tff(12106,plain,
% 1.65/1.81 (~xuntil2p8(s96)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[3099, 12105])).
% 1.65/1.81 tff(12107,plain,
% 1.65/1.81 (~until2p7(s96)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[3104, 3051, 12106, 12094])).
% 1.65/1.81 tff(12108,plain,
% 1.65/1.81 (~xuntil2p8(s95)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[3110, 12107])).
% 1.65/1.81 tff(12109,plain,
% 1.65/1.81 (m_main_v_state(s95, c_ready)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9117, 19, 12080])).
% 1.65/1.81 tff(12110,plain,
% 1.65/1.81 (~m_main_v_request(s95)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9113, 12109, 12091])).
% 1.65/1.81 tff(12111,plain,
% 1.65/1.81 (~node4(s95)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9104, 3141, 12110])).
% 1.65/1.81 tff(12112,plain,
% 1.65/1.81 (xuntil2p8(s95) | (~until2p7(s95))),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[3115, 3051, 12111])).
% 1.65/1.81 tff(12113,plain,
% 1.65/1.81 (~until2p7(s95)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12112, 12108])).
% 1.65/1.81 tff(12114,plain,
% 1.65/1.81 ($false),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[3121, 12113, 12087])).
% 1.65/1.81 tff(12115,plain,((~trans(s99, s94)) | xuntil2p8(s98) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.81 tff(12116,plain,
% 1.65/1.81 (~trans(s99, s94)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12115, 4303, 12046])).
% 1.65/1.81 tff(12117,plain,
% 1.65/1.81 (until2p7(s98)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[5930, 3037, 10087, 3085, 4303])).
% 1.65/1.81 tff(12118,plain,
% 1.65/1.81 (node4(s98)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12047, 12117])).
% 1.65/1.81 tff(12119,plain,
% 1.65/1.81 ((~trans(s99, s98)) | always3(s98)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[10095, 5932])).
% 1.65/1.81 tff(12120,plain,
% 1.65/1.81 (always3(s98)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12119, 10087])).
% 1.65/1.81 tff(12121,plain,
% 1.65/1.81 (~m_main_v_state(s98, c_busy)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9173, 3154, 12120])).
% 1.65/1.81 tff(12122,plain,
% 1.65/1.81 (m_main_v_state(s98, c_ready)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12041, 12121])).
% 1.65/1.81 tff(12123,plain,
% 1.65/1.81 (~m_main_v_request(s98)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12043, 12122])).
% 1.65/1.81 tff(12124,plain,
% 1.65/1.81 ($false),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9157, 3141, 12123, 12118])).
% 1.65/1.81 tff(12125,plain,((~trans(s99, s98)) | xuntil2p8(s98) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.81 tff(12126,plain,
% 1.65/1.81 (~trans(s99, s98)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12125, 4303, 12046])).
% 1.65/1.81 tff(12127,plain,
% 1.65/1.81 (until2p7(s97)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[4888, 4880, 4303])).
% 1.65/1.81 tff(12128,plain,
% 1.65/1.81 (node4(s97)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12063, 12127])).
% 1.65/1.81 tff(12129,plain,
% 1.65/1.81 (m_main_v_request(s97)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9218, 3141, 12128])).
% 1.65/1.81 tff(12130,plain,
% 1.65/1.81 (~m_main_v_state(s97, c_ready)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9214, 12129, 9202])).
% 1.65/1.81 tff(12131,plain,
% 1.65/1.81 ((~trans(s99, s97)) | always3(s97)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9300, 5932])).
% 1.65/1.81 tff(12132,plain,
% 1.65/1.81 (always3(s97)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12131, 4880])).
% 1.65/1.81 tff(12133,plain,
% 1.65/1.81 (~m_main_v_state(s97, c_busy)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9200, 3154, 12132])).
% 1.65/1.81 tff(12134,plain,
% 1.65/1.81 ($false),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9205, 19, 12133, 12130])).
% 1.65/1.81 tff(12135,plain,((~trans(s99, s97)) | m_main_v_state(s98, c_busy) | xuntil2p8(s97) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.81 tff(12136,plain,
% 1.65/1.81 (~trans(s99, s97)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12135, 12049, 9202, 4303])).
% 1.65/1.81 tff(12137,plain,
% 1.65/1.81 (~always3(s92)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[526, 9271])).
% 1.65/1.81 tff(12138,plain,
% 1.65/1.81 (~always3(s91)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[539, 12137])).
% 1.65/1.81 tff(12139,plain,
% 1.65/1.81 (~always3(s90)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[551, 12138])).
% 1.65/1.81 tff(12140,plain,
% 1.65/1.81 (~always3(s89)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[563, 12139])).
% 1.65/1.81 tff(12141,plain,
% 1.65/1.81 (~always3(s88)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[575, 12140])).
% 1.65/1.81 tff(12142,plain,
% 1.65/1.81 (~always3(s87)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[587, 12141])).
% 1.65/1.81 tff(12143,plain,
% 1.65/1.81 (~always3(s86)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[731, 12142])).
% 1.65/1.81 tff(12144,plain,
% 1.65/1.81 (~trans(s99, s86)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[10857, 12143])).
% 1.65/1.81 tff(12145,plain,
% 1.65/1.81 (~trans(s99, s89)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[10907, 12140])).
% 1.65/1.81 tff(12146,plain,
% 1.65/1.81 (~trans(s99, s90)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[10905, 12139])).
% 1.65/1.81 tff(12147,plain,
% 1.65/1.81 ((~trans(s99, s92)) | always3(s92)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9266, 5932])).
% 1.65/1.81 tff(12148,plain,
% 1.65/1.81 (~trans(s99, s92)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12147, 12137])).
% 1.65/1.81 tff(12149,plain,
% 1.65/1.81 (~always3(s85)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[769, 12143])).
% 1.65/1.81 tff(12150,plain,
% 1.65/1.81 (~always3(s84)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[798, 12149])).
% 1.65/1.81 tff(12151,plain,
% 1.65/1.81 (~always3(s83)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[827, 12150])).
% 1.65/1.81 tff(12152,plain,
% 1.65/1.81 (~always3(s82)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[856, 12151])).
% 1.65/1.81 tff(12153,plain,
% 1.65/1.81 (~trans(s99, s82)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[10704, 12152])).
% 1.65/1.81 tff(12154,plain,
% 1.65/1.81 (~trans(s99, s91)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[10881, 12138])).
% 1.65/1.81 tff(12155,plain,
% 1.65/1.81 ((~trans(s99, s93)) | always3(s93)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[9660, 5932])).
% 1.65/1.81 tff(12156,plain,
% 1.65/1.81 (~trans(s99, s93)),
% 1.65/1.81 inference(unit_resolution,[status(thm)],[12155, 9271])).
% 1.65/1.82 tff(12157,plain,
% 1.65/1.82 (~trans(s99, s83)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10865, 12151])).
% 1.65/1.82 tff(12158,plain,
% 1.65/1.82 (~trans(s99, s88)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9053, 12141])).
% 1.65/1.82 tff(12159,plain,
% 1.65/1.82 (~trans(s99, s87)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10862, 12142])).
% 1.65/1.82 tff(12160,plain,
% 1.65/1.82 ((~trans(s99, s96)) | always3(s96)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9280, 5932])).
% 1.65/1.82 tff(12161,plain,
% 1.65/1.82 (~trans(s99, s96)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12160, 9268])).
% 1.65/1.82 tff(12162,plain,
% 1.65/1.82 (~always3(s81)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[885, 12152])).
% 1.65/1.82 tff(12163,plain,
% 1.65/1.82 (~trans(s99, s81)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10810, 12162])).
% 1.65/1.82 tff(12164,plain,
% 1.65/1.82 (~always3(s80)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[914, 12162])).
% 1.65/1.82 tff(12165,plain,
% 1.65/1.82 (~trans(s99, s80)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10798, 12164])).
% 1.65/1.82 tff(12166,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11601, 12165, 12163, 8428, 10894, 10896, 9500, 8425, 12161, 8429, 12159, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 12158, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 12149, 9503, 9502, 9501, 8302, 8301, 9499, 12157, 8300, 12156, 12154, 9514, 8299, 8298, 8297, 9522, 8296, 12153, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 12148, 8273, 12146, 10886, 8272, 10888, 8260, 12145, 10885, 10883, 8229, 8228, 12144, 8227])).
% 1.65/1.82 tff(12167,plain,(always3(s96) | trans(s99, s9) | trans(s99, s99) | trans(s99, s98) | trans(s99, s94) | trans(s99, s33) | trans(s99, s46) | trans(s99, s6) | trans(s99, s79) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s36) | trans(s99, s97) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s95) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s77) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15)), inference(lemma,lemma(discharge,[]))).
% 1.65/1.82 tff(12168,plain,
% 1.65/1.82 (always3(s96)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12167, 12136, 10894, 12126, 12116, 8425, 8429, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8428, 8299, 8298, 8297, 12076, 8296, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227])).
% 1.65/1.82 tff(12169,plain,
% 1.65/1.82 (always3(s97)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[478, 12168])).
% 1.65/1.82 tff(12170,plain,
% 1.65/1.82 (~m_main_v_state(s97, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9200, 3154, 12169])).
% 1.65/1.82 tff(12171,plain,
% 1.65/1.82 (~m_main_v_state(s96, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9097, 3154, 12168])).
% 1.65/1.82 tff(12172,plain,
% 1.65/1.82 (m_main_v_state(s96, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9240, 19, 12171])).
% 1.65/1.82 tff(12173,plain,
% 1.65/1.82 (~m_main_v_request(s96)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9234, 12172, 12170])).
% 1.65/1.82 tff(12174,plain,
% 1.65/1.82 (~node4(s96)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9225, 3141, 12173])).
% 1.65/1.82 tff(12175,plain,
% 1.65/1.82 (m_main_v_state(s97, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9205, 19, 12170])).
% 1.65/1.82 tff(12176,plain,
% 1.65/1.82 (~m_main_v_request(s97)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9214, 12175, 9202])).
% 1.65/1.82 tff(12177,plain,
% 1.65/1.82 (~node4(s97)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9218, 3141, 12176])).
% 1.65/1.82 tff(12178,plain,
% 1.65/1.82 (node4(s97) | (~until2p7(s97))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3094, 3051, 12049])).
% 1.65/1.82 tff(12179,plain,
% 1.65/1.82 (~until2p7(s97)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12178, 12177])).
% 1.65/1.82 tff(12180,plain,
% 1.65/1.82 (~xuntil2p8(s96)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3099, 12179])).
% 1.65/1.82 tff(12181,plain,
% 1.65/1.82 (~until2p7(s96)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3104, 3051, 12180, 12174])).
% 1.65/1.82 tff(12182,plain,
% 1.65/1.82 (~xuntil2p8(s95)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3110, 12181])).
% 1.65/1.82 tff(12183,plain,
% 1.65/1.82 (~trans(s99, s96)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[5609, 12181, 4303])).
% 1.65/1.82 tff(12184,plain,
% 1.65/1.82 (~always3(s81)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[885, 9611])).
% 1.65/1.82 tff(12185,plain,
% 1.65/1.82 (~always3(s80)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[914, 12184])).
% 1.65/1.82 tff(12186,assumption,(~xuntil2p8(s95)), introduced(assumption)).
% 1.65/1.82 tff(12187,plain,
% 1.65/1.82 (~trans(s99, s86)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10857, 732])).
% 1.65/1.82 tff(12188,plain,
% 1.65/1.82 (~always3(s85)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[769, 732])).
% 1.65/1.82 tff(12189,plain,
% 1.65/1.82 (~always3(s84)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[798, 12188])).
% 1.65/1.82 tff(12190,plain,
% 1.65/1.82 (~always3(s83)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[827, 12189])).
% 1.65/1.82 tff(12191,plain,
% 1.65/1.82 (~always3(s82)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[856, 12190])).
% 1.65/1.82 tff(12192,plain,
% 1.65/1.82 (~trans(s99, s82)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10704, 12191])).
% 1.65/1.82 tff(12193,plain,
% 1.65/1.82 (~trans(s99, s87)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10862, 707])).
% 1.65/1.82 tff(12194,plain,
% 1.65/1.82 (always3(s96)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12167, 9514, 10894, 10896, 9500, 8425, 8429, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8428, 8299, 8298, 8297, 9522, 8296, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227])).
% 1.65/1.82 tff(12195,plain,
% 1.65/1.82 (~m_main_v_state(s96, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9097, 3154, 12194])).
% 1.65/1.82 tff(12196,plain,
% 1.65/1.82 (always3(s93)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12155, 5612])).
% 1.65/1.82 tff(12197,plain,
% 1.65/1.82 (always3(s94)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[514, 12196])).
% 1.65/1.82 tff(12198,plain,
% 1.65/1.82 (always3(s95)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[502, 12197])).
% 1.65/1.82 tff(12199,plain,
% 1.65/1.82 (~m_main_v_state(s95, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9089, 3154, 12198])).
% 1.65/1.82 tff(12200,plain,
% 1.65/1.82 (~m_main_v_state(s94, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3160, 3154, 12197])).
% 1.65/1.82 tff(12201,plain,
% 1.65/1.82 (m_main_v_state(s94, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9142, 19, 12200])).
% 1.65/1.82 tff(12202,plain,
% 1.65/1.82 (~m_main_v_request(s94)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9138, 12201, 12199])).
% 1.65/1.82 tff(12203,plain,
% 1.65/1.82 (~node4(s94)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9129, 3141, 12202])).
% 1.65/1.82 tff(12204,plain,
% 1.65/1.82 (until2p7(s93)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[5620, 5612, 4303])).
% 1.65/1.82 tff(12205,plain,
% 1.65/1.82 (xuntil2p8(s93)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3196, 12204])).
% 1.65/1.82 tff(12206,plain,
% 1.65/1.82 (until2p7(s94)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3132, 12205])).
% 1.65/1.82 tff(12207,plain,
% 1.65/1.82 (node4(s94) | xuntil2p8(s94)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3126, 3051, 12206])).
% 1.65/1.82 tff(12208,plain,
% 1.65/1.82 (xuntil2p8(s94)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12207, 12203])).
% 1.65/1.82 tff(12209,plain,
% 1.65/1.82 (m_main_v_state(s95, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9117, 19, 12199])).
% 1.65/1.82 tff(12210,plain,
% 1.65/1.82 (~m_main_v_request(s95)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9113, 12209, 10108])).
% 1.65/1.82 tff(12211,plain,
% 1.65/1.82 (~node4(s95)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9104, 3141, 12210])).
% 1.65/1.82 tff(12212,plain,
% 1.65/1.82 (node4(s95) | (~until2p7(s95))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3115, 3051, 12186])).
% 1.65/1.82 tff(12213,plain,
% 1.65/1.82 (~until2p7(s95)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12212, 12211])).
% 1.65/1.82 tff(12214,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3121, 12213, 12208])).
% 1.65/1.82 tff(12215,plain,((~trans(s99, s93)) | xuntil2p8(s95) | m_main_v_state(s96, c_busy) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.82 tff(12216,plain,
% 1.65/1.82 (~trans(s99, s93)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12215, 12186, 12195, 4303])).
% 1.65/1.82 tff(12217,plain,
% 1.65/1.82 (always3(s83)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10865, 5564])).
% 1.65/1.82 tff(12218,plain,
% 1.65/1.82 (always3(s84)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[827, 12217])).
% 1.65/1.82 tff(12219,plain,
% 1.65/1.82 (always3(s85)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[798, 12218])).
% 1.65/1.82 tff(12220,plain,
% 1.65/1.82 (always3(s86)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[769, 12219])).
% 1.65/1.82 tff(12221,plain,
% 1.65/1.82 (~m_main_v_state(s86, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11264, 3154, 12220])).
% 1.65/1.82 tff(12222,plain,
% 1.65/1.82 (~m_main_v_state(s85, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11256, 3154, 12219])).
% 1.65/1.82 tff(12223,plain,
% 1.65/1.82 (m_main_v_state(s85, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11268, 19, 12222])).
% 1.65/1.82 tff(12224,plain,
% 1.65/1.82 (~m_main_v_request(s85)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11277, 12223, 12221])).
% 1.65/1.82 tff(12225,plain,
% 1.65/1.82 (~node4(s85)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11281, 3141, 12224])).
% 1.65/1.82 tff(12226,plain,
% 1.65/1.82 (~m_main_v_state(s84, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11322, 3154, 12218])).
% 1.65/1.82 tff(12227,plain,
% 1.65/1.82 (m_main_v_state(s84, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11326, 19, 12226])).
% 1.65/1.82 tff(12228,plain,
% 1.65/1.82 (~m_main_v_request(s84)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11299, 12227, 12222])).
% 1.65/1.82 tff(12229,plain,
% 1.65/1.82 (~node4(s84)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11290, 3141, 12228])).
% 1.65/1.82 tff(12230,plain,
% 1.65/1.82 (~node4(s83)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11669, 12226])).
% 1.65/1.82 tff(12231,plain,
% 1.65/1.82 (until2p7(s83)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[5572, 5564, 4303])).
% 1.65/1.82 tff(12232,plain,
% 1.65/1.82 (node4(s83) | xuntil2p8(s83)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3314, 3051, 12231])).
% 1.65/1.82 tff(12233,plain,
% 1.65/1.82 (xuntil2p8(s83)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12232, 12230])).
% 1.65/1.82 tff(12234,plain,
% 1.65/1.82 (until2p7(s84)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3308, 12233])).
% 1.65/1.82 tff(12235,plain,
% 1.65/1.82 (node4(s84) | xuntil2p8(s84)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3302, 3051, 12234])).
% 1.65/1.82 tff(12236,plain,
% 1.65/1.82 (xuntil2p8(s84)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12235, 12229])).
% 1.65/1.82 tff(12237,plain,
% 1.65/1.82 (until2p7(s85)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3296, 12236])).
% 1.65/1.82 tff(12238,plain,
% 1.65/1.82 (xuntil2p8(s85)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3290, 3051, 12237, 12225])).
% 1.65/1.82 tff(12239,plain,
% 1.65/1.82 (until2p7(s86)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3284, 12238])).
% 1.65/1.82 tff(12240,plain,
% 1.65/1.82 (always3(s87)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[731, 12220])).
% 1.65/1.82 tff(12241,plain,
% 1.65/1.82 (~m_main_v_state(s87, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11337, 3154, 12240])).
% 1.65/1.82 tff(12242,assumption,(~m_main_v_state(s86, c_busy)), introduced(assumption)).
% 1.65/1.82 tff(12243,assumption,(node1(s85)), introduced(assumption)).
% 1.65/1.82 tff(12244,plain,
% 1.65/1.82 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s85, c_ready) | (~node1(s85)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s85, c_ready) | (~node1(s85)))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(12245,plain,
% 1.65/1.82 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s85, c_ready) | (~node1(s85)))),
% 1.65/1.82 inference(quant_inst,[status(thm)],[])).
% 1.65/1.82 tff(12246,plain,
% 1.65/1.82 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s85, c_ready) | (~node1(s85))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[12245, 12244])).
% 1.65/1.82 tff(12247,plain,
% 1.65/1.82 (m_main_v_state(s85, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12246, 10750, 12243])).
% 1.65/1.82 tff(12248,plain,
% 1.65/1.82 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s85) | (~node1(s85)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s85) | (~node1(s85)))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(12249,plain,
% 1.65/1.82 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s85) | (~node1(s85)))),
% 1.65/1.82 inference(quant_inst,[status(thm)],[])).
% 1.65/1.82 tff(12250,plain,
% 1.65/1.82 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s85) | (~node1(s85))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[12249, 12248])).
% 1.65/1.82 tff(12251,plain,
% 1.65/1.82 (m_main_v_request(s85)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12250, 10737, 12243])).
% 1.65/1.82 tff(12252,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11277, 12251, 12247, 12242])).
% 1.65/1.82 tff(12253,plain,((~node1(s85)) | m_main_v_state(s86, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.65/1.82 tff(12254,plain,
% 1.65/1.82 (~node1(s85)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12253, 12221])).
% 1.65/1.82 tff(12255,plain,
% 1.65/1.82 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s85, s86)) | m_main_v_state(s86, c_busy) | node1(s85) | m_main_v_state(s86, c_ready))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | node1(s85) | m_main_v_state(s86, c_ready))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(12256,plain,
% 1.65/1.82 ((node1(s85) | m_main_v_state(s86, c_ready) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy)) <=> ((~node2(s85, s86)) | m_main_v_state(s86, c_busy) | node1(s85) | m_main_v_state(s86, c_ready))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(12257,plain,
% 1.65/1.82 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s85) | m_main_v_state(s86, c_ready) | (~node2(s85, s86)) | m_main_v_state(s86, 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))) | ((~node2(s85, s86)) | m_main_v_state(s86, c_busy) | node1(s85) | m_main_v_state(s86, c_ready)))),
% 1.65/1.82 inference(monotonicity,[status(thm)],[12256])).
% 1.65/1.82 tff(12258,plain,
% 1.65/1.82 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s85) | m_main_v_state(s86, c_ready) | (~node2(s85, s86)) | m_main_v_state(s86, 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))) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | node1(s85) | m_main_v_state(s86, c_ready))),
% 1.65/1.82 inference(transitivity,[status(thm)],[12257, 12255])).
% 1.65/1.82 tff(12259,plain,
% 1.65/1.82 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s85) | m_main_v_state(s86, c_ready) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy))),
% 1.65/1.82 inference(quant_inst,[status(thm)],[])).
% 1.65/1.82 tff(12260,plain,
% 1.65/1.82 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s85, s86)) | m_main_v_state(s86, c_busy) | node1(s85) | m_main_v_state(s86, c_ready)),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[12259, 12258])).
% 1.65/1.82 tff(12261,plain,
% 1.65/1.82 (m_main_v_state(s86, c_busy) | node1(s85) | m_main_v_state(s86, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12260, 10720, 11273])).
% 1.65/1.82 tff(12262,plain,
% 1.65/1.82 (m_main_v_state(s86, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12261, 12254, 12221])).
% 1.65/1.82 tff(12263,plain,
% 1.65/1.82 (~m_main_v_request(s86)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11378, 12262, 12241])).
% 1.65/1.82 tff(12264,plain,
% 1.65/1.82 (~node4(s86)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11369, 3141, 12263])).
% 1.65/1.82 tff(12265,plain,
% 1.65/1.82 (xuntil2p8(s86) | (~until2p7(s86))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3278, 3051, 12264])).
% 1.65/1.82 tff(12266,plain,
% 1.65/1.82 (xuntil2p8(s86)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12265, 12239])).
% 1.65/1.82 tff(12267,plain,
% 1.65/1.82 (until2p7(s87)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3272, 12266])).
% 1.65/1.82 tff(12268,plain,
% 1.65/1.82 (always3(s88)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[587, 12240])).
% 1.65/1.82 tff(12269,plain,
% 1.65/1.82 (~m_main_v_state(s88, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11345, 3154, 12268])).
% 1.65/1.82 tff(12270,plain,
% 1.65/1.82 (m_main_v_state(s87, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11349, 19, 12241])).
% 1.65/1.82 tff(12271,plain,
% 1.65/1.82 (~m_main_v_request(s87)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11358, 12270, 12269])).
% 1.65/1.82 tff(12272,plain,
% 1.65/1.82 (~node4(s87)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11362, 3141, 12271])).
% 1.65/1.82 tff(12273,plain,
% 1.65/1.82 (xuntil2p8(s87) | (~until2p7(s87))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3266, 3051, 12272])).
% 1.65/1.82 tff(12274,plain,
% 1.65/1.82 (xuntil2p8(s87)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12273, 12267])).
% 1.65/1.82 tff(12275,plain,
% 1.65/1.82 (until2p7(s88)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3260, 12274])).
% 1.65/1.82 tff(12276,plain,
% 1.65/1.82 (always3(s89)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[575, 12268])).
% 1.65/1.82 tff(12277,plain,
% 1.65/1.82 (~m_main_v_state(s89, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10625, 3154, 12276])).
% 1.65/1.82 tff(12278,assumption,(~m_main_v_state(s88, c_ready)), introduced(assumption)).
% 1.65/1.82 tff(12279,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11392, 19, 11570, 12278])).
% 1.65/1.82 tff(12280,plain,(m_main_v_state(s88, c_ready) | m_main_v_state(s88, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.65/1.82 tff(12281,plain,
% 1.65/1.82 (m_main_v_state(s88, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12280, 12269])).
% 1.65/1.82 tff(12282,plain,
% 1.65/1.82 (~m_main_v_request(s88)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11401, 12281, 12277])).
% 1.65/1.82 tff(12283,plain,
% 1.65/1.82 (~node4(s88)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11405, 3141, 12282])).
% 1.65/1.82 tff(12284,plain,
% 1.65/1.82 (xuntil2p8(s88) | (~until2p7(s88))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3254, 3051, 12283])).
% 1.65/1.82 tff(12285,plain,
% 1.65/1.82 (xuntil2p8(s88)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12284, 12275])).
% 1.65/1.82 tff(12286,plain,
% 1.65/1.82 (until2p7(s89)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3248, 12285])).
% 1.65/1.82 tff(12287,plain,
% 1.65/1.82 (always3(s90)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[563, 12276])).
% 1.65/1.82 tff(12288,plain,
% 1.65/1.82 (~m_main_v_state(s90, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10582, 3154, 12287])).
% 1.65/1.82 tff(12289,assumption,(~m_main_v_state(s89, c_ready)), introduced(assumption)).
% 1.65/1.82 tff(12290,plain,
% 1.65/1.82 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s88, s89)) | m_main_v_state(s89, c_busy) | node1(s88) | m_main_v_state(s89, c_ready))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | node1(s88) | m_main_v_state(s89, c_ready))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(12291,plain,
% 1.65/1.82 ((node1(s88) | m_main_v_state(s89, c_ready) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy)) <=> ((~node2(s88, s89)) | m_main_v_state(s89, c_busy) | node1(s88) | m_main_v_state(s89, c_ready))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(12292,plain,
% 1.65/1.82 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s88) | m_main_v_state(s89, c_ready) | (~node2(s88, s89)) | m_main_v_state(s89, 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))) | ((~node2(s88, s89)) | m_main_v_state(s89, c_busy) | node1(s88) | m_main_v_state(s89, c_ready)))),
% 1.65/1.82 inference(monotonicity,[status(thm)],[12291])).
% 1.65/1.82 tff(12293,plain,
% 1.65/1.82 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s88) | m_main_v_state(s89, c_ready) | (~node2(s88, s89)) | m_main_v_state(s89, 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))) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | node1(s88) | m_main_v_state(s89, c_ready))),
% 1.65/1.82 inference(transitivity,[status(thm)],[12292, 12290])).
% 1.65/1.82 tff(12294,plain,
% 1.65/1.82 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s88) | m_main_v_state(s89, c_ready) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy))),
% 1.65/1.82 inference(quant_inst,[status(thm)],[])).
% 1.65/1.82 tff(12295,plain,
% 1.65/1.82 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s88, s89)) | m_main_v_state(s89, c_busy) | node1(s88) | m_main_v_state(s89, c_ready)),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[12294, 12293])).
% 1.65/1.82 tff(12296,plain,
% 1.65/1.82 (m_main_v_state(s89, c_busy) | node1(s88) | m_main_v_state(s89, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12295, 10720, 11397])).
% 1.65/1.82 tff(12297,plain,
% 1.65/1.82 (node1(s88)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12296, 11444, 12289])).
% 1.65/1.82 tff(12298,plain,
% 1.65/1.82 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s88, c_ready) | (~node1(s88)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s88, c_ready) | (~node1(s88)))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(12299,plain,
% 1.65/1.82 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s88, c_ready) | (~node1(s88)))),
% 1.65/1.82 inference(quant_inst,[status(thm)],[])).
% 1.65/1.82 tff(12300,plain,
% 1.65/1.82 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s88, c_ready) | (~node1(s88))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[12299, 12298])).
% 1.65/1.82 tff(12301,plain,
% 1.65/1.82 (m_main_v_state(s88, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12300, 10750, 12297])).
% 1.65/1.82 tff(12302,plain,
% 1.65/1.82 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s88) | (~node1(s88)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s88) | (~node1(s88)))),
% 1.65/1.82 inference(rewrite,[status(thm)],[])).
% 1.65/1.82 tff(12303,plain,
% 1.65/1.82 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s88) | (~node1(s88)))),
% 1.65/1.82 inference(quant_inst,[status(thm)],[])).
% 1.65/1.82 tff(12304,plain,
% 1.65/1.82 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s88) | (~node1(s88))),
% 1.65/1.82 inference(modus_ponens,[status(thm)],[12303, 12302])).
% 1.65/1.82 tff(12305,plain,
% 1.65/1.82 (m_main_v_request(s88)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12304, 10737, 12297])).
% 1.65/1.82 tff(12306,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11401, 12305, 12301, 11444])).
% 1.65/1.82 tff(12307,plain,(m_main_v_state(s89, c_busy) | m_main_v_state(s89, c_ready)), inference(lemma,lemma(discharge,[]))).
% 1.65/1.82 tff(12308,plain,
% 1.65/1.82 (m_main_v_state(s89, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12307, 12277])).
% 1.65/1.82 tff(12309,plain,
% 1.65/1.82 (~m_main_v_request(s89)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10617, 12308, 12288])).
% 1.65/1.82 tff(12310,plain,
% 1.65/1.82 (~node4(s89)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10608, 3141, 12309])).
% 1.65/1.82 tff(12311,plain,
% 1.65/1.82 (xuntil2p8(s89) | (~until2p7(s89))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3242, 3051, 12310])).
% 1.65/1.82 tff(12312,plain,
% 1.65/1.82 (xuntil2p8(s89)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12311, 12286])).
% 1.65/1.82 tff(12313,plain,
% 1.65/1.82 (always3(s91)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[551, 12287])).
% 1.65/1.82 tff(12314,plain,
% 1.65/1.82 (always3(s92)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[539, 12313])).
% 1.65/1.82 tff(12315,plain,
% 1.65/1.82 (always3(s93)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[526, 12314])).
% 1.65/1.82 tff(12316,plain,
% 1.65/1.82 (always3(s94)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[514, 12315])).
% 1.65/1.82 tff(12317,plain,
% 1.65/1.82 (always3(s95)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[502, 12316])).
% 1.65/1.82 tff(12318,plain,
% 1.65/1.82 (~m_main_v_state(s95, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9089, 3154, 12317])).
% 1.65/1.82 tff(12319,plain,
% 1.65/1.82 (~m_main_v_state(s94, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3160, 3154, 12316])).
% 1.65/1.82 tff(12320,plain,
% 1.65/1.82 (m_main_v_state(s94, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9142, 19, 12319])).
% 1.65/1.82 tff(12321,plain,
% 1.65/1.82 (~m_main_v_request(s94)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9138, 12320, 12318])).
% 1.65/1.82 tff(12322,plain,
% 1.65/1.82 (~node4(s94)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9129, 3141, 12321])).
% 1.65/1.82 tff(12323,plain,
% 1.65/1.82 (m_main_v_state(s95, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9117, 19, 12318])).
% 1.65/1.82 tff(12324,plain,
% 1.65/1.82 (~m_main_v_request(s95)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9113, 12323, 10108])).
% 1.65/1.82 tff(12325,plain,
% 1.65/1.82 (~node4(s95)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9104, 3141, 12324])).
% 1.65/1.82 tff(12326,plain,
% 1.65/1.82 (~until2p7(s95)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12212, 12325])).
% 1.65/1.82 tff(12327,plain,
% 1.65/1.82 (~xuntil2p8(s94)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3121, 12326])).
% 1.65/1.82 tff(12328,plain,
% 1.65/1.82 (~until2p7(s94)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3126, 3051, 12327, 12322])).
% 1.65/1.82 tff(12329,plain,
% 1.65/1.82 (~xuntil2p8(s93)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3132, 12328])).
% 1.65/1.82 tff(12330,plain,
% 1.65/1.82 (~until2p7(s93)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3196, 12329])).
% 1.65/1.82 tff(12331,plain,
% 1.65/1.82 (~xuntil2p8(s92)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3201, 12330])).
% 1.65/1.82 tff(12332,plain,
% 1.65/1.82 (~m_main_v_state(s92, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10332, 3154, 12314])).
% 1.65/1.82 tff(12333,assumption,(~m_main_v_state(s92, c_ready)), introduced(assumption)).
% 1.65/1.82 tff(12334,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10640, 19, 10334, 12333])).
% 1.65/1.82 tff(12335,plain,(m_main_v_state(s92, c_ready) | m_main_v_state(s92, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.65/1.82 tff(12336,plain,
% 1.65/1.82 (m_main_v_state(s92, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12335, 12332])).
% 1.65/1.82 tff(12337,plain,
% 1.65/1.82 (~m_main_v_state(s93, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3186, 3154, 12315])).
% 1.65/1.82 tff(12338,plain,
% 1.65/1.82 (~m_main_v_request(s92)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10649, 12337, 12336])).
% 1.65/1.82 tff(12339,plain,
% 1.65/1.82 (~node4(s92)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10653, 3141, 12338])).
% 1.65/1.82 tff(12340,plain,
% 1.65/1.82 (xuntil2p8(s92) | (~until2p7(s92))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3206, 3051, 12339])).
% 1.65/1.82 tff(12341,plain,
% 1.65/1.82 (~until2p7(s92)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12340, 12331])).
% 1.65/1.82 tff(12342,plain,
% 1.65/1.82 (~xuntil2p8(s91)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3212, 12341])).
% 1.65/1.82 tff(12343,plain,
% 1.65/1.82 (~node4(s91)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10361, 12332])).
% 1.65/1.82 tff(12344,plain,
% 1.65/1.82 (xuntil2p8(s91) | (~until2p7(s91))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3218, 3051, 12343])).
% 1.65/1.82 tff(12345,plain,
% 1.65/1.82 (~until2p7(s91)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12344, 12342])).
% 1.65/1.82 tff(12346,plain,
% 1.65/1.82 (~xuntil2p8(s90)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3224, 12345])).
% 1.65/1.82 tff(12347,plain,
% 1.65/1.82 (~m_main_v_state(s91, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10355, 3154, 12313])).
% 1.65/1.82 tff(12348,plain,
% 1.65/1.82 (m_main_v_state(s90, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10588, 19, 12288])).
% 1.65/1.82 tff(12349,plain,
% 1.65/1.82 (~m_main_v_request(s90)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10597, 12348, 12347])).
% 1.65/1.82 tff(12350,plain,
% 1.65/1.82 (~node4(s90)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10601, 3141, 12349])).
% 1.65/1.82 tff(12351,plain,
% 1.65/1.82 (xuntil2p8(s90) | (~until2p7(s90))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3230, 3051, 12350])).
% 1.65/1.82 tff(12352,plain,
% 1.65/1.82 (~until2p7(s90)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12351, 12346])).
% 1.65/1.82 tff(12353,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3236, 12352, 12312])).
% 1.65/1.82 tff(12354,plain,((~trans(s99, s83)) | xuntil2p8(s95) | m_main_v_state(s96, c_busy) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.82 tff(12355,plain,
% 1.65/1.82 (~trans(s99, s83)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12354, 12186, 12195, 4303])).
% 1.65/1.82 tff(12356,plain,
% 1.65/1.82 (always3(s88)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9053, 4316])).
% 1.65/1.82 tff(12357,plain,
% 1.65/1.82 (always3(s89)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[575, 12356])).
% 1.65/1.82 tff(12358,plain,
% 1.65/1.82 (always3(s90)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[563, 12357])).
% 1.65/1.82 tff(12359,plain,
% 1.65/1.82 (always3(s91)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[551, 12358])).
% 1.65/1.82 tff(12360,plain,
% 1.65/1.82 (~m_main_v_state(s91, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10355, 3154, 12359])).
% 1.65/1.82 tff(12361,plain,
% 1.65/1.82 (~m_main_v_state(s90, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10582, 3154, 12358])).
% 1.65/1.82 tff(12362,plain,
% 1.65/1.82 (m_main_v_state(s90, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10588, 19, 12361])).
% 1.65/1.82 tff(12363,plain,
% 1.65/1.82 (~m_main_v_request(s90)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10597, 12362, 12360])).
% 1.65/1.82 tff(12364,plain,
% 1.65/1.82 (~node4(s90)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10601, 3141, 12363])).
% 1.65/1.82 tff(12365,plain,
% 1.65/1.82 (~m_main_v_state(s89, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10625, 3154, 12357])).
% 1.65/1.82 tff(12366,plain,
% 1.65/1.82 (m_main_v_state(s89, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12307, 12365])).
% 1.65/1.82 tff(12367,plain,
% 1.65/1.82 (~m_main_v_request(s89)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10617, 12366, 12361])).
% 1.65/1.82 tff(12368,plain,
% 1.65/1.82 (~node4(s89)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10608, 3141, 12367])).
% 1.65/1.82 tff(12369,plain,
% 1.65/1.82 (~m_main_v_state(s88, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11345, 3154, 12356])).
% 1.65/1.82 tff(12370,plain,
% 1.65/1.82 (m_main_v_state(s88, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12280, 12369])).
% 1.65/1.82 tff(12371,plain,
% 1.65/1.82 (~m_main_v_request(s88)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11401, 12370, 12365])).
% 1.65/1.82 tff(12372,plain,
% 1.65/1.82 (~node4(s88)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11405, 3141, 12371])).
% 1.65/1.82 tff(12373,plain,
% 1.65/1.82 (until2p7(s88)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[4324, 4316, 4303])).
% 1.65/1.82 tff(12374,plain,
% 1.65/1.82 (node4(s88) | xuntil2p8(s88)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3254, 3051, 12373])).
% 1.65/1.82 tff(12375,plain,
% 1.65/1.82 (xuntil2p8(s88)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12374, 12372])).
% 1.65/1.82 tff(12376,plain,
% 1.65/1.82 (until2p7(s89)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3248, 12375])).
% 1.65/1.82 tff(12377,plain,
% 1.65/1.82 (xuntil2p8(s89)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3242, 3051, 12376, 12368])).
% 1.65/1.82 tff(12378,plain,
% 1.65/1.82 (until2p7(s90)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3236, 12377])).
% 1.65/1.82 tff(12379,plain,
% 1.65/1.82 (xuntil2p8(s90)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3230, 3051, 12378, 12364])).
% 1.65/1.82 tff(12380,plain,
% 1.65/1.82 (until2p7(s91)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3224, 12379])).
% 1.65/1.82 tff(12381,plain,
% 1.65/1.82 (always3(s92)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[539, 12359])).
% 1.65/1.82 tff(12382,plain,
% 1.65/1.82 (~m_main_v_state(s92, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10332, 3154, 12381])).
% 1.65/1.82 tff(12383,plain,
% 1.65/1.82 (~node4(s91)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10361, 12382])).
% 1.65/1.82 tff(12384,plain,
% 1.65/1.82 (xuntil2p8(s91) | (~until2p7(s91))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3218, 3051, 12383])).
% 1.65/1.82 tff(12385,plain,
% 1.65/1.82 (xuntil2p8(s91)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12384, 12380])).
% 1.65/1.82 tff(12386,plain,
% 1.65/1.82 (until2p7(s92)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3212, 12385])).
% 1.65/1.82 tff(12387,plain,
% 1.65/1.82 (always3(s93)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[526, 12381])).
% 1.65/1.82 tff(12388,plain,
% 1.65/1.82 (always3(s94)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[514, 12387])).
% 1.65/1.82 tff(12389,plain,
% 1.65/1.82 (always3(s95)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[502, 12388])).
% 1.65/1.82 tff(12390,plain,
% 1.65/1.82 (~m_main_v_state(s95, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9089, 3154, 12389])).
% 1.65/1.82 tff(12391,plain,
% 1.65/1.82 (~m_main_v_state(s94, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3160, 3154, 12388])).
% 1.65/1.82 tff(12392,plain,
% 1.65/1.82 (m_main_v_state(s94, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9142, 19, 12391])).
% 1.65/1.82 tff(12393,plain,
% 1.65/1.82 (~m_main_v_request(s94)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9138, 12392, 12390])).
% 1.65/1.82 tff(12394,plain,
% 1.65/1.82 (~node4(s94)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9129, 3141, 12393])).
% 1.65/1.82 tff(12395,plain,
% 1.65/1.82 (m_main_v_state(s95, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9117, 19, 12390])).
% 1.65/1.82 tff(12396,plain,
% 1.65/1.82 (~m_main_v_request(s95)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9113, 12395, 10108])).
% 1.65/1.82 tff(12397,plain,
% 1.65/1.82 (~node4(s95)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[9104, 3141, 12396])).
% 1.65/1.82 tff(12398,plain,
% 1.65/1.82 (~until2p7(s95)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12212, 12397])).
% 1.65/1.82 tff(12399,plain,
% 1.65/1.82 (~xuntil2p8(s94)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3121, 12398])).
% 1.65/1.82 tff(12400,plain,
% 1.65/1.82 (~until2p7(s94)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3126, 3051, 12399, 12394])).
% 1.65/1.82 tff(12401,plain,
% 1.65/1.82 (~xuntil2p8(s93)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3132, 12400])).
% 1.65/1.82 tff(12402,plain,
% 1.65/1.82 (~until2p7(s93)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3196, 12401])).
% 1.65/1.82 tff(12403,plain,
% 1.65/1.82 (~xuntil2p8(s92)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3201, 12402])).
% 1.65/1.82 tff(12404,plain,
% 1.65/1.82 (m_main_v_state(s92, c_ready)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12335, 12382])).
% 1.65/1.82 tff(12405,plain,
% 1.65/1.82 (~m_main_v_state(s93, c_busy)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3186, 3154, 12387])).
% 1.65/1.82 tff(12406,plain,
% 1.65/1.82 (~m_main_v_request(s92)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10649, 12405, 12404])).
% 1.65/1.82 tff(12407,plain,
% 1.65/1.82 (~node4(s92)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10653, 3141, 12406])).
% 1.65/1.82 tff(12408,plain,
% 1.65/1.82 (xuntil2p8(s92) | (~until2p7(s92))),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[3206, 3051, 12407])).
% 1.65/1.82 tff(12409,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12408, 12403, 12386])).
% 1.65/1.82 tff(12410,plain,((~trans(s99, s88)) | xuntil2p8(s95) | m_main_v_state(s96, c_busy) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.65/1.82 tff(12411,plain,
% 1.65/1.82 (~trans(s99, s88)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12410, 12186, 12195, 4303])).
% 1.65/1.82 tff(12412,plain,
% 1.65/1.82 (~trans(s99, s86)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10857, 761])).
% 1.65/1.82 tff(12413,plain,
% 1.65/1.82 (~trans(s99, s92)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12147, 528])).
% 1.65/1.82 tff(12414,plain,
% 1.65/1.82 (~trans(s99, s82)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10704, 857])).
% 1.65/1.82 tff(12415,plain,
% 1.65/1.82 (~trans(s99, s87)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10862, 588])).
% 1.65/1.82 tff(12416,plain,
% 1.65/1.82 (~trans(s99, s81)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10810, 886])).
% 1.65/1.82 tff(12417,plain,
% 1.65/1.82 (~trans(s99, s80)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[10798, 915])).
% 1.65/1.82 tff(12418,plain,
% 1.65/1.82 (always3(s85)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[11601, 10908, 8428, 10894, 10896, 9500, 8425, 9505, 8429, 10902, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 9504, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9509, 9503, 9502, 9501, 8302, 8301, 9499, 9521, 8300, 10904, 10880, 9514, 8299, 8298, 8297, 9522, 8296, 10893, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 9402, 8273, 10906, 10886, 8272, 10888, 8260, 10882, 10885, 10883, 8229, 8228, 10901, 8227])).
% 1.65/1.82 tff(12419,plain,
% 1.65/1.82 (~always3(s88)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[575, 9622])).
% 1.65/1.82 tff(12420,plain,
% 1.65/1.82 (~always3(s87)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[587, 12419])).
% 1.65/1.82 tff(12421,plain,
% 1.65/1.82 (~always3(s86)),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[731, 12420])).
% 1.65/1.82 tff(12422,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[769, 12421, 12418])).
% 1.65/1.82 tff(12423,plain,(always3(s91) | trans(s99, s9) | trans(s99, s99) | trans(s99, s98) | trans(s99, s94) | trans(s99, s33) | trans(s99, s96) | trans(s99, s46) | trans(s99, s87) | trans(s99, s6) | trans(s99, s79) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s80) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s81) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s83) | trans(s99, s36) | trans(s99, s93) | trans(s99, s88) | trans(s99, s97) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s95) | trans(s99, s34) | trans(s99, s82) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s77) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s92) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s86) | trans(s99, s15)), inference(lemma,lemma(discharge,[]))).
% 1.65/1.82 tff(12424,plain,
% 1.65/1.82 ($false),
% 1.65/1.82 inference(unit_resolution,[status(thm)],[12423, 12417, 12416, 10894, 10896, 9500, 8425, 9505, 8429, 10880, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 9521, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 10904, 9503, 9502, 9501, 8302, 8301, 9499, 540, 8300, 12415, 8428, 9514, 8299, 8298, 8297, 9522, 8296, 12414, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 12413, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 12412, 8227])).
% 1.65/1.82 tff(12425,plain,(always3(s92) | trans(s99, s99) | trans(s99, s98) | trans(s99, s94) | trans(s99, s33) | trans(s99, s96) | trans(s99, s46) | trans(s99, s88) | trans(s99, s6) | trans(s99, s79) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s83) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s93) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s36) | trans(s99, s9) | trans(s99, s97) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s95) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s77) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15)), inference(lemma,lemma(discharge,[]))).
% 1.65/1.83 tff(12426,plain,
% 1.65/1.83 (always3(s92)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12425, 9505, 10896, 9500, 8425, 10894, 8429, 12411, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 12355, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 12216, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8428, 9514, 8299, 8298, 8297, 9522, 8296, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227])).
% 1.65/1.83 tff(12427,plain,
% 1.65/1.83 (always3(s93)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[526, 12426])).
% 1.65/1.83 tff(12428,plain,
% 1.65/1.83 (always3(s94)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[514, 12427])).
% 1.65/1.83 tff(12429,plain,
% 1.65/1.83 (always3(s95)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[502, 12428])).
% 1.65/1.83 tff(12430,plain,
% 1.65/1.83 (~m_main_v_state(s95, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[9089, 3154, 12429])).
% 1.65/1.83 tff(12431,plain,
% 1.65/1.83 (~m_main_v_state(s94, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3160, 3154, 12428])).
% 1.65/1.83 tff(12432,plain,
% 1.65/1.83 (m_main_v_state(s94, c_ready)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[9142, 19, 12431])).
% 1.65/1.83 tff(12433,plain,
% 1.65/1.83 (~m_main_v_request(s94)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[9138, 12432, 12430])).
% 1.65/1.83 tff(12434,plain,
% 1.65/1.83 (~node4(s94)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[9129, 3141, 12433])).
% 1.65/1.83 tff(12435,plain,
% 1.65/1.83 (m_main_v_state(s95, c_ready)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[9117, 19, 12430])).
% 1.65/1.83 tff(12436,plain,
% 1.65/1.83 (~m_main_v_request(s95)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[9113, 12435, 12195])).
% 1.65/1.83 tff(12437,plain,
% 1.65/1.83 (~node4(s95)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[9104, 3141, 12436])).
% 1.65/1.83 tff(12438,plain,
% 1.65/1.83 (~until2p7(s95)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12212, 12437])).
% 1.65/1.83 tff(12439,plain,
% 1.65/1.83 (~xuntil2p8(s94)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3121, 12438])).
% 1.65/1.83 tff(12440,plain,
% 1.65/1.83 (~until2p7(s94)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3126, 3051, 12439, 12434])).
% 1.65/1.83 tff(12441,plain,
% 1.65/1.83 (~xuntil2p8(s93)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3132, 12440])).
% 1.65/1.83 tff(12442,plain,
% 1.65/1.83 (~until2p7(s93)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3196, 12441])).
% 1.65/1.83 tff(12443,plain,
% 1.65/1.83 (~xuntil2p8(s92)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3201, 12442])).
% 1.65/1.83 tff(12444,plain,
% 1.65/1.83 (~m_main_v_state(s93, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3186, 3154, 12427])).
% 1.65/1.83 tff(12445,plain,
% 1.65/1.83 (~m_main_v_state(s92, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10332, 3154, 12426])).
% 1.65/1.83 tff(12446,plain,
% 1.65/1.83 (m_main_v_state(s92, c_ready)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12335, 12445])).
% 1.65/1.83 tff(12447,plain,
% 1.65/1.83 (~m_main_v_request(s92)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10649, 12446, 12444])).
% 1.65/1.83 tff(12448,plain,
% 1.65/1.83 (~node4(s92)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10653, 3141, 12447])).
% 1.65/1.83 tff(12449,plain,
% 1.65/1.83 (xuntil2p8(s92) | (~until2p7(s92))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3206, 3051, 12448])).
% 1.65/1.83 tff(12450,plain,
% 1.65/1.83 (~until2p7(s92)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12449, 12443])).
% 1.65/1.83 tff(12451,plain,
% 1.65/1.83 (~trans(s99, s92)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[4910, 12450, 4303])).
% 1.65/1.83 tff(12452,plain,
% 1.65/1.83 (~always3(s81)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[885, 12191])).
% 1.65/1.83 tff(12453,plain,
% 1.65/1.83 (~trans(s99, s81)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10810, 12452])).
% 1.65/1.83 tff(12454,plain,
% 1.65/1.83 (~always3(s80)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[914, 12452])).
% 1.65/1.83 tff(12455,plain,
% 1.65/1.83 (~trans(s99, s80)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10798, 12454])).
% 1.65/1.83 tff(12456,plain,
% 1.65/1.83 (always3(s91)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12423, 10880, 10894, 10896, 9500, 8425, 9505, 8429, 10902, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 9504, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9509, 9503, 9502, 9501, 8302, 8301, 9499, 9521, 8300, 10904, 8428, 9514, 8299, 8298, 8297, 9522, 8296, 10893, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 9402, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 10901, 8227])).
% 1.65/1.83 tff(12457,plain,
% 1.65/1.83 (~m_main_v_state(s91, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10355, 3154, 12456])).
% 1.65/1.83 tff(12458,plain,
% 1.65/1.83 (always3(s92)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[539, 12456])).
% 1.65/1.83 tff(12459,plain,
% 1.65/1.83 (always3(s93)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[526, 12458])).
% 1.65/1.83 tff(12460,plain,
% 1.65/1.83 (always3(s94)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[514, 12459])).
% 1.65/1.83 tff(12461,plain,
% 1.65/1.83 (always3(s95)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[502, 12460])).
% 1.65/1.83 tff(12462,plain,
% 1.65/1.83 (~m_main_v_state(s95, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[9089, 3154, 12461])).
% 1.65/1.83 tff(12463,plain,
% 1.65/1.83 (~m_main_v_state(s94, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3160, 3154, 12460])).
% 1.65/1.83 tff(12464,plain,
% 1.65/1.83 (m_main_v_state(s94, c_ready)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[9142, 19, 12463])).
% 1.65/1.83 tff(12465,plain,
% 1.65/1.83 (~m_main_v_request(s94)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[9138, 12464, 12462])).
% 1.65/1.83 tff(12466,plain,
% 1.65/1.83 (~node4(s94)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[9129, 3141, 12465])).
% 1.65/1.83 tff(12467,plain,
% 1.65/1.83 (m_main_v_state(s95, c_ready)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[9117, 19, 12462])).
% 1.65/1.83 tff(12468,plain,
% 1.65/1.83 (~m_main_v_request(s95)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[9113, 12467, 12195])).
% 1.65/1.83 tff(12469,plain,
% 1.65/1.83 (~node4(s95)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[9104, 3141, 12468])).
% 1.65/1.83 tff(12470,plain,
% 1.65/1.83 (~until2p7(s95)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12212, 12469])).
% 1.65/1.83 tff(12471,plain,
% 1.65/1.83 (~xuntil2p8(s94)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3121, 12470])).
% 1.65/1.83 tff(12472,plain,
% 1.65/1.83 (~until2p7(s94)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3126, 3051, 12471, 12466])).
% 1.65/1.83 tff(12473,plain,
% 1.65/1.83 (~xuntil2p8(s93)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3132, 12472])).
% 1.65/1.83 tff(12474,plain,
% 1.65/1.83 (~until2p7(s93)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3196, 12473])).
% 1.65/1.83 tff(12475,plain,
% 1.65/1.83 (~xuntil2p8(s92)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3201, 12474])).
% 1.65/1.83 tff(12476,plain,
% 1.65/1.83 (~m_main_v_state(s92, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10332, 3154, 12458])).
% 1.65/1.83 tff(12477,plain,
% 1.65/1.83 (m_main_v_state(s92, c_ready)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12335, 12476])).
% 1.65/1.83 tff(12478,plain,
% 1.65/1.83 (~m_main_v_state(s93, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3186, 3154, 12459])).
% 1.65/1.83 tff(12479,plain,
% 1.65/1.83 (~m_main_v_request(s92)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10649, 12478, 12477])).
% 1.65/1.83 tff(12480,plain,
% 1.65/1.83 (~node4(s92)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10653, 3141, 12479])).
% 1.65/1.83 tff(12481,plain,
% 1.65/1.83 (xuntil2p8(s92) | (~until2p7(s92))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3206, 3051, 12480])).
% 1.65/1.83 tff(12482,plain,
% 1.65/1.83 (~until2p7(s92)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12481, 12475])).
% 1.65/1.83 tff(12483,plain,
% 1.65/1.83 (~xuntil2p8(s91)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3212, 12482])).
% 1.65/1.83 tff(12484,plain,
% 1.65/1.83 (~node4(s91)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10361, 12476])).
% 1.65/1.83 tff(12485,plain,
% 1.65/1.83 (xuntil2p8(s91) | (~until2p7(s91))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3218, 3051, 12484])).
% 1.65/1.83 tff(12486,plain,
% 1.65/1.83 (~until2p7(s91)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12485, 12483])).
% 1.65/1.83 tff(12487,plain,
% 1.65/1.83 (~xuntil2p8(s90)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3224, 12486])).
% 1.65/1.83 tff(12488,plain,
% 1.65/1.83 (~trans(s99, s91)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[4335, 12486, 4303])).
% 1.65/1.83 tff(12489,assumption,(~xuntil2p8(s90)), introduced(assumption)).
% 1.65/1.83 tff(12490,plain,
% 1.65/1.83 (trans(s99, s89)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11601, 9256, 8428, 10894, 10896, 9500, 8425, 9505, 8429, 10902, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 9504, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9509, 9503, 9502, 9501, 8302, 8301, 9499, 9521, 8300, 10904, 10880, 9514, 8299, 8298, 8297, 9522, 8296, 10893, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 9402, 8273, 9512, 10886, 8272, 10888, 8260, 10930, 10885, 10883, 8229, 8228, 10901, 8227])).
% 1.65/1.83 tff(12491,plain,
% 1.65/1.83 (always3(s89)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10907, 12490])).
% 1.65/1.83 tff(12492,plain,
% 1.65/1.83 (~m_main_v_state(s89, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10625, 3154, 12491])).
% 1.65/1.83 tff(12493,plain,
% 1.65/1.83 (m_main_v_state(s89, c_ready)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12307, 12492])).
% 1.65/1.83 tff(12494,plain,
% 1.65/1.83 (always3(s90)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10934, 11599, 10896, 9500, 10903, 9505, 8425, 9520, 8429, 10901, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 10904, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10902, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9504, 9503, 9502, 9501, 8302, 8301, 9499, 10894, 8300, 9402, 9509, 9514, 8299, 8298, 8297, 9522, 8296, 10893, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 8273, 8428, 10888, 9521, 10886, 8272, 10885, 8260, 11598, 8228, 10883, 8229, 10930, 10880, 8227])).
% 1.65/1.83 tff(12495,plain,
% 1.65/1.83 (~m_main_v_state(s90, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10582, 3154, 12494])).
% 1.65/1.83 tff(12496,plain,
% 1.65/1.83 (~m_main_v_request(s89)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10617, 12495, 12493])).
% 1.65/1.83 tff(12497,plain,
% 1.65/1.83 (~node4(s89)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10608, 3141, 12496])).
% 1.65/1.83 tff(12498,plain,
% 1.65/1.83 (until2p7(s89)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[4844, 12490, 4303])).
% 1.65/1.83 tff(12499,plain,
% 1.65/1.83 (node4(s89) | xuntil2p8(s89)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3242, 3051, 12498])).
% 1.65/1.83 tff(12500,plain,
% 1.65/1.83 (xuntil2p8(s89)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12499, 12497])).
% 1.65/1.83 tff(12501,plain,
% 1.65/1.83 (until2p7(s90)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3236, 12500])).
% 1.65/1.83 tff(12502,plain,
% 1.65/1.83 (node4(s90) | (~until2p7(s90))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3230, 3051, 12489])).
% 1.65/1.83 tff(12503,plain,
% 1.65/1.83 (node4(s90)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12502, 12501])).
% 1.65/1.83 tff(12504,plain,
% 1.65/1.83 (m_main_v_state(s90, c_ready)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10588, 19, 12495])).
% 1.65/1.83 tff(12505,plain,
% 1.65/1.83 (~m_main_v_request(s90)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10597, 12504, 12457])).
% 1.65/1.83 tff(12506,plain,
% 1.65/1.83 ($false),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10601, 3141, 12505, 12503])).
% 1.65/1.83 tff(12507,plain,(always3(s85) | xuntil2p8(s90) | trans(s99, s98) | trans(s99, s94) | trans(s99, s74) | trans(s99, s96) | trans(s99, s33) | trans(s99, s52) | trans(s99, s46) | trans(s99, s86) | trans(s99, s6) | trans(s99, s79) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s93) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s87) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s80) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s99) | trans(s99, s36) | trans(s99, s92) | trans(s99, s81) | trans(s99, s97) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s95) | trans(s99, s34) | trans(s99, s82) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s77) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s9) | trans(s99, s61) | trans(s99, s83) | trans(s99, s67) | trans(s99, s19) | trans(s99, s54) | trans(s99, s41) | trans(s99, s48) | trans(s99, s58) | trans(s99, s39) | trans(s99, s91) | trans(s99, s88) | trans(s99, s15) | (~xuntil6(s99)) | trans(s99, s90)), inference(lemma,lemma(discharge,[]))).
% 1.65/1.83 tff(12508,plain,
% 1.65/1.83 (always3(s85)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12507, 9512, 10896, 9500, 10903, 9505, 8425, 9520, 8429, 10901, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 10904, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10902, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9504, 9503, 9502, 9501, 8302, 8301, 9499, 10894, 8300, 9402, 9509, 9514, 8299, 8298, 8297, 9522, 8296, 10893, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 8273, 8428, 10888, 9521, 10886, 8272, 10885, 8260, 8228, 10883, 8229, 10930, 10880, 8227, 4303, 12489])).
% 1.65/1.83 tff(12509,plain,
% 1.65/1.83 (~m_main_v_state(s85, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11256, 3154, 12508])).
% 1.65/1.83 tff(12510,plain,
% 1.65/1.83 (always3(s86)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[769, 12508])).
% 1.65/1.83 tff(12511,plain,
% 1.65/1.83 (always3(s87)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[731, 12510])).
% 1.65/1.83 tff(12512,plain,
% 1.65/1.83 (always3(s88)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[587, 12511])).
% 1.65/1.83 tff(12513,plain,
% 1.65/1.83 (~m_main_v_state(s88, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11345, 3154, 12512])).
% 1.65/1.83 tff(12514,plain,
% 1.65/1.83 (~m_main_v_state(s87, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11337, 3154, 12511])).
% 1.65/1.83 tff(12515,plain,
% 1.65/1.83 (m_main_v_state(s87, c_ready)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11349, 19, 12514])).
% 1.65/1.83 tff(12516,plain,
% 1.65/1.83 (~m_main_v_request(s87)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11358, 12515, 12513])).
% 1.65/1.83 tff(12517,plain,
% 1.65/1.83 (~node4(s87)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11362, 3141, 12516])).
% 1.65/1.83 tff(12518,plain,
% 1.65/1.83 (always3(s89)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[575, 12512])).
% 1.65/1.83 tff(12519,plain,
% 1.65/1.83 (always3(s90)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[563, 12518])).
% 1.65/1.83 tff(12520,plain,
% 1.65/1.83 (~m_main_v_state(s90, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10582, 3154, 12519])).
% 1.65/1.83 tff(12521,plain,
% 1.65/1.83 (m_main_v_state(s90, c_ready)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10588, 19, 12520])).
% 1.65/1.83 tff(12522,plain,
% 1.65/1.83 (~m_main_v_request(s90)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10597, 12521, 12457])).
% 1.65/1.83 tff(12523,plain,
% 1.65/1.83 (~node4(s90)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10601, 3141, 12522])).
% 1.65/1.83 tff(12524,plain,
% 1.65/1.83 (~until2p7(s90)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12502, 12523])).
% 1.65/1.83 tff(12525,plain,
% 1.65/1.83 (~xuntil2p8(s89)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3236, 12524])).
% 1.65/1.83 tff(12526,plain,
% 1.65/1.83 (~m_main_v_state(s89, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10625, 3154, 12518])).
% 1.65/1.83 tff(12527,plain,
% 1.65/1.83 (m_main_v_state(s89, c_ready)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12307, 12526])).
% 1.65/1.83 tff(12528,plain,
% 1.65/1.83 (~m_main_v_request(s89)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10617, 12520, 12527])).
% 1.65/1.83 tff(12529,plain,
% 1.65/1.83 (~node4(s89)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10608, 3141, 12528])).
% 1.65/1.83 tff(12530,plain,
% 1.65/1.83 (xuntil2p8(s89) | (~until2p7(s89))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3242, 3051, 12529])).
% 1.65/1.83 tff(12531,plain,
% 1.65/1.83 (~until2p7(s89)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12530, 12525])).
% 1.65/1.83 tff(12532,plain,
% 1.65/1.83 (~xuntil2p8(s88)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3248, 12531])).
% 1.65/1.83 tff(12533,plain,
% 1.65/1.83 (m_main_v_state(s88, c_ready)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12280, 12513])).
% 1.65/1.83 tff(12534,plain,
% 1.65/1.83 (~m_main_v_request(s88)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11401, 12533, 12526])).
% 1.65/1.83 tff(12535,plain,
% 1.65/1.83 (~node4(s88)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11405, 3141, 12534])).
% 1.65/1.83 tff(12536,plain,
% 1.65/1.83 (xuntil2p8(s88) | (~until2p7(s88))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3254, 3051, 12535])).
% 1.65/1.83 tff(12537,plain,
% 1.65/1.83 (~until2p7(s88)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12536, 12532])).
% 1.65/1.83 tff(12538,plain,
% 1.65/1.83 (~xuntil2p8(s87)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3260, 12537])).
% 1.65/1.83 tff(12539,plain,
% 1.65/1.83 (~until2p7(s87)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3266, 3051, 12538, 12517])).
% 1.65/1.83 tff(12540,plain,
% 1.65/1.83 (~xuntil2p8(s86)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3272, 12539])).
% 1.65/1.83 tff(12541,plain,
% 1.65/1.83 (~m_main_v_state(s86, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11264, 3154, 12510])).
% 1.65/1.83 tff(12542,plain,
% 1.65/1.83 (~node1(s85)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12253, 12541])).
% 1.65/1.83 tff(12543,plain,
% 1.65/1.83 (m_main_v_state(s86, c_ready)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12261, 12542, 12541])).
% 1.65/1.83 tff(12544,plain,
% 1.65/1.83 (~m_main_v_request(s86)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11378, 12543, 12514])).
% 1.65/1.83 tff(12545,plain,
% 1.65/1.83 (~node4(s86)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11369, 3141, 12544])).
% 1.65/1.83 tff(12546,plain,
% 1.65/1.83 (xuntil2p8(s86) | (~until2p7(s86))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3278, 3051, 12545])).
% 1.65/1.83 tff(12547,plain,
% 1.65/1.83 (~until2p7(s86)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12546, 12540])).
% 1.65/1.83 tff(12548,plain,
% 1.65/1.83 (~xuntil2p8(s85)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3284, 12547])).
% 1.65/1.83 tff(12549,plain,
% 1.65/1.83 (m_main_v_state(s85, c_ready)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11268, 19, 12509])).
% 1.65/1.83 tff(12550,plain,
% 1.65/1.83 (~m_main_v_request(s85)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11277, 12549, 12541])).
% 1.65/1.83 tff(12551,plain,
% 1.65/1.83 (~node4(s85)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11281, 3141, 12550])).
% 1.65/1.83 tff(12552,plain,
% 1.65/1.83 (xuntil2p8(s85) | (~until2p7(s85))),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3290, 3051, 12551])).
% 1.65/1.83 tff(12553,plain,
% 1.65/1.83 (~until2p7(s85)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[12552, 12548])).
% 1.65/1.83 tff(12554,plain,
% 1.65/1.83 (~xuntil2p8(s84)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3296, 12553])).
% 1.65/1.83 tff(12555,plain,
% 1.65/1.83 (~trans(s99, s89)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[4844, 12531, 4303])).
% 1.65/1.83 tff(12556,plain,
% 1.65/1.83 (~trans(s99, s85)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[4434, 12553, 4303])).
% 1.65/1.83 tff(12557,plain,
% 1.65/1.83 (trans(s99, s84)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10910, 12556, 8428, 10896, 10894, 9500, 9505, 8425, 9504, 8429, 10902, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 9509, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 10880, 9503, 9502, 9501, 8302, 8301, 9499, 9521, 8300, 10904, 10930, 9514, 8299, 8298, 8297, 9522, 8296, 10893, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 9402, 8273, 9512, 10886, 8272, 10888, 8260, 12555, 10885, 10883, 8229, 8228, 10901, 8227])).
% 1.65/1.83 tff(12558,plain,
% 1.65/1.83 (until2p7(s84)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[4379, 12557, 4303])).
% 1.65/1.83 tff(12559,plain,
% 1.65/1.83 (node4(s84)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[3302, 3051, 12558, 12554])).
% 1.65/1.83 tff(12560,plain,
% 1.65/1.83 (m_main_v_request(s84)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11290, 3141, 12559])).
% 1.65/1.83 tff(12561,plain,
% 1.65/1.83 (always3(s84)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[10665, 12557])).
% 1.65/1.83 tff(12562,plain,
% 1.65/1.83 (~m_main_v_state(s84, c_busy)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11322, 3154, 12561])).
% 1.65/1.83 tff(12563,plain,
% 1.65/1.83 (m_main_v_state(s84, c_ready)),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11326, 19, 12562])).
% 1.65/1.83 tff(12564,plain,
% 1.65/1.83 ($false),
% 1.65/1.83 inference(unit_resolution,[status(thm)],[11299, 12563, 12560, 12509])).
% 1.65/1.83 tff(12565,plain,(trans(s99, s90) | (~xuntil6(s99)) | trans(s99, s9) | trans(s99, s98) | trans(s99, s99) | trans(s99, s94) | trans(s99, s96) | trans(s99, s33) | trans(s99, s80) | trans(s99, s46) | trans(s99, s87) | trans(s99, s6) | trans(s99, s79) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s81) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s88) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s83) | trans(s99, s36) | trans(s99, s93) | trans(s99, s91) | trans(s99, s97) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s95) | trans(s99, s34) | trans(s99, s82) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s77) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s92) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s86) | trans(s99, s15) | xuntil2p8(s90)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.83 tff(12566,plain,
% 1.67/1.83 (trans(s99, s90)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[12565, 10880, 8428, 10896, 10894, 9500, 9505, 8425, 9504, 8429, 10902, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 9509, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 4303, 9503, 9502, 9501, 8302, 8301, 9499, 9521, 8300, 10904, 12488, 9514, 8299, 8298, 8297, 9522, 8296, 10893, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 9402, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 10901, 8227, 12487])).
% 1.67/1.83 tff(12567,plain,
% 1.67/1.83 (until2p7(s90)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[5264, 12566, 4303])).
% 1.67/1.83 tff(12568,plain,
% 1.67/1.83 (node4(s90) | (~until2p7(s90))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3230, 3051, 12487])).
% 1.67/1.83 tff(12569,plain,
% 1.67/1.83 (node4(s90)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[12568, 12567])).
% 1.67/1.83 tff(12570,plain,
% 1.67/1.83 (m_main_v_request(s90)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[10601, 3141, 12569])).
% 1.67/1.83 tff(12571,plain,
% 1.67/1.83 (~m_main_v_state(s90, c_ready)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[10597, 12570, 12457])).
% 1.67/1.83 tff(12572,plain,
% 1.67/1.83 (always3(s90)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[10905, 12566])).
% 1.67/1.83 tff(12573,plain,
% 1.67/1.83 (~m_main_v_state(s90, c_busy)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[10582, 3154, 12572])).
% 1.67/1.83 tff(12574,plain,
% 1.67/1.83 ($false),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[10588, 19, 12573, 12571])).
% 1.67/1.83 tff(12575,plain,(trans(s99, s88) | (~xuntil6(s99)) | trans(s99, s9) | trans(s99, s98) | trans(s99, s99) | trans(s99, s94) | trans(s99, s96) | trans(s99, s33) | trans(s99, s80) | trans(s99, s46) | trans(s99, s87) | trans(s99, s6) | trans(s99, s79) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s81) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s83) | trans(s99, s36) | trans(s99, s93) | trans(s99, s97) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s95) | trans(s99, s34) | trans(s99, s82) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s77) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s92) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s86) | trans(s99, s15) | xuntil2p8(s95)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.83 tff(12576,plain,
% 1.67/1.83 ($false),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[12575, 12455, 12453, 8428, 10896, 10894, 9500, 9505, 8425, 12411, 8429, 12355, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 12216, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 4303, 8300, 12451, 9514, 8299, 8298, 8297, 9522, 8296, 12193, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 12192, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 12187, 8227, 12186])).
% 1.67/1.83 tff(12577,plain,(always3(s87) | trans(s99, s9) | trans(s99, s98) | trans(s99, s99) | trans(s99, s94) | trans(s99, s96) | trans(s99, s33) | trans(s99, s46) | trans(s99, s6) | trans(s99, s79) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | (~xuntil6(s99)) | trans(s99, s36) | trans(s99, s97) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s95) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s77) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | xuntil2p8(s95)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.83 tff(12578,plain,
% 1.67/1.83 (always3(s87)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[12577, 9505, 10896, 10894, 9500, 8428, 8425, 8429, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 4303, 8300, 9514, 8299, 8298, 8297, 9522, 8296, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 12186])).
% 1.67/1.83 tff(12579,plain,
% 1.67/1.83 (always3(s88)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[587, 12578])).
% 1.67/1.83 tff(12580,plain,
% 1.67/1.83 (~m_main_v_state(s88, c_busy)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11345, 3154, 12579])).
% 1.67/1.83 tff(12581,plain,
% 1.67/1.83 (~m_main_v_state(s87, c_busy)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11337, 3154, 12578])).
% 1.67/1.83 tff(12582,plain,
% 1.67/1.83 (m_main_v_state(s87, c_ready)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11349, 19, 12581])).
% 1.67/1.83 tff(12583,plain,
% 1.67/1.83 (~m_main_v_request(s87)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11358, 12582, 12580])).
% 1.67/1.83 tff(12584,plain,
% 1.67/1.83 (~node4(s87)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11362, 3141, 12583])).
% 1.67/1.83 tff(12585,plain,
% 1.67/1.83 (always3(s89)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[575, 12579])).
% 1.67/1.83 tff(12586,plain,
% 1.67/1.83 (always3(s90)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[563, 12585])).
% 1.67/1.83 tff(12587,plain,
% 1.67/1.83 (always3(s91)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[551, 12586])).
% 1.67/1.83 tff(12588,plain,
% 1.67/1.83 (~m_main_v_state(s91, c_busy)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[10355, 3154, 12587])).
% 1.67/1.83 tff(12589,plain,
% 1.67/1.83 (~m_main_v_state(s90, c_busy)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[10582, 3154, 12586])).
% 1.67/1.83 tff(12590,plain,
% 1.67/1.83 (m_main_v_state(s90, c_ready)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[10588, 19, 12589])).
% 1.67/1.83 tff(12591,plain,
% 1.67/1.83 (~m_main_v_request(s90)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[10597, 12590, 12588])).
% 1.67/1.83 tff(12592,plain,
% 1.67/1.83 (~node4(s90)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[10601, 3141, 12591])).
% 1.67/1.83 tff(12593,plain,
% 1.67/1.83 (~node4(s91)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[10361, 12445])).
% 1.67/1.83 tff(12594,plain,
% 1.67/1.83 (~xuntil2p8(s91)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3212, 12450])).
% 1.67/1.83 tff(12595,plain,
% 1.67/1.83 (~until2p7(s91)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3218, 3051, 12594, 12593])).
% 1.67/1.83 tff(12596,plain,
% 1.67/1.83 (~xuntil2p8(s90)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3224, 12595])).
% 1.67/1.83 tff(12597,plain,
% 1.67/1.83 (node4(s90) | (~until2p7(s90))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3230, 3051, 12596])).
% 1.67/1.83 tff(12598,plain,
% 1.67/1.83 (~until2p7(s90)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[12597, 12592])).
% 1.67/1.83 tff(12599,plain,
% 1.67/1.83 (~xuntil2p8(s89)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3236, 12598])).
% 1.67/1.83 tff(12600,plain,
% 1.67/1.83 (~m_main_v_state(s89, c_busy)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[10625, 3154, 12585])).
% 1.67/1.83 tff(12601,plain,
% 1.67/1.83 (m_main_v_state(s89, c_ready)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[12307, 12600])).
% 1.67/1.83 tff(12602,plain,
% 1.67/1.83 (~m_main_v_request(s89)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[10617, 12601, 12589])).
% 1.67/1.83 tff(12603,plain,
% 1.67/1.83 (~node4(s89)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[10608, 3141, 12602])).
% 1.67/1.83 tff(12604,plain,
% 1.67/1.83 (xuntil2p8(s89) | (~until2p7(s89))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3242, 3051, 12603])).
% 1.67/1.83 tff(12605,plain,
% 1.67/1.83 (~until2p7(s89)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[12604, 12599])).
% 1.67/1.83 tff(12606,plain,
% 1.67/1.83 (~xuntil2p8(s88)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3248, 12605])).
% 1.67/1.83 tff(12607,plain,
% 1.67/1.83 (m_main_v_state(s88, c_ready)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[12280, 12580])).
% 1.67/1.83 tff(12608,plain,
% 1.67/1.83 (~m_main_v_request(s88)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11401, 12607, 12600])).
% 1.67/1.83 tff(12609,plain,
% 1.67/1.83 (~node4(s88)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11405, 3141, 12608])).
% 1.67/1.83 tff(12610,plain,
% 1.67/1.83 (xuntil2p8(s88) | (~until2p7(s88))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3254, 3051, 12609])).
% 1.67/1.83 tff(12611,plain,
% 1.67/1.83 (~until2p7(s88)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[12610, 12606])).
% 1.67/1.83 tff(12612,plain,
% 1.67/1.83 (~xuntil2p8(s87)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3260, 12611])).
% 1.67/1.83 tff(12613,plain,
% 1.67/1.83 (~until2p7(s87)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3266, 3051, 12612, 12584])).
% 1.67/1.83 tff(12614,plain,
% 1.67/1.83 (~xuntil2p8(s86)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3272, 12613])).
% 1.67/1.83 tff(12615,assumption,(~m_main_v_state(s87, c_busy)), introduced(assumption)).
% 1.67/1.83 tff(12616,plain,
% 1.67/1.83 (until2p7(s86)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[5506, 5498, 4303])).
% 1.67/1.83 tff(12617,assumption,(~xuntil2p8(s86)), introduced(assumption)).
% 1.67/1.83 tff(12618,plain,
% 1.67/1.83 (node4(s86) | (~until2p7(s86))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3278, 3051, 12617])).
% 1.67/1.83 tff(12619,plain,
% 1.67/1.83 (node4(s86)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[12618, 12616])).
% 1.67/1.83 tff(12620,plain,
% 1.67/1.83 (m_main_v_request(s86)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11369, 3141, 12619])).
% 1.67/1.83 tff(12621,plain,
% 1.67/1.83 (~m_main_v_state(s86, c_ready)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11378, 12620, 12615])).
% 1.67/1.83 tff(12622,plain,
% 1.67/1.83 ($false),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11384, 19, 11429, 12621])).
% 1.67/1.83 tff(12623,plain,((~trans(s99, s86)) | m_main_v_state(s87, c_busy) | xuntil2p8(s86) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.83 tff(12624,plain,
% 1.67/1.83 (~trans(s99, s86)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[12623, 12581, 12614, 4303])).
% 1.67/1.83 tff(12625,plain,
% 1.67/1.83 (always3(s81)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[10810, 5122])).
% 1.67/1.83 tff(12626,plain,
% 1.67/1.83 (always3(s82)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[885, 12625])).
% 1.67/1.83 tff(12627,plain,
% 1.67/1.83 (always3(s83)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[856, 12626])).
% 1.67/1.83 tff(12628,plain,
% 1.67/1.83 (always3(s84)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[827, 12627])).
% 1.67/1.83 tff(12629,plain,
% 1.67/1.83 (~m_main_v_state(s84, c_busy)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11322, 3154, 12628])).
% 1.67/1.83 tff(12630,plain,
% 1.67/1.83 (~node4(s83)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11669, 12629])).
% 1.67/1.83 tff(12631,plain,
% 1.67/1.83 (~m_main_v_state(s82, c_busy)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11236, 3154, 12626])).
% 1.67/1.83 tff(12632,plain,
% 1.67/1.83 (~m_main_v_state(s81, c_busy)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11885, 3154, 12625])).
% 1.67/1.83 tff(12633,plain,
% 1.67/1.83 (m_main_v_state(s81, c_ready)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11891, 19, 12632])).
% 1.67/1.83 tff(12634,plain,
% 1.67/1.83 (~m_main_v_request(s81)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11900, 12633, 12631])).
% 1.67/1.83 tff(12635,plain,
% 1.67/1.83 (~node4(s81)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11904, 3141, 12634])).
% 1.67/1.83 tff(12636,plain,
% 1.67/1.83 (until2p7(s81)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[5130, 5122, 4303])).
% 1.67/1.83 tff(12637,plain,
% 1.67/1.83 (node4(s81) | xuntil2p8(s81)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3338, 3051, 12636])).
% 1.67/1.83 tff(12638,plain,
% 1.67/1.83 (xuntil2p8(s81)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[12637, 12635])).
% 1.67/1.83 tff(12639,plain,
% 1.67/1.83 (until2p7(s82)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3332, 12638])).
% 1.67/1.83 tff(12640,plain,
% 1.67/1.83 (xuntil2p8(s82) | (~until2p7(s82))),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3326, 3051, 11242])).
% 1.67/1.83 tff(12641,plain,
% 1.67/1.83 (xuntil2p8(s82)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[12640, 12639])).
% 1.67/1.83 tff(12642,plain,
% 1.67/1.83 (until2p7(s83)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3320, 12641])).
% 1.67/1.83 tff(12643,plain,
% 1.67/1.83 (xuntil2p8(s83)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[3314, 3051, 12642, 12630])).
% 1.67/1.83 tff(12644,plain,
% 1.67/1.83 (always3(s85)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[798, 12628])).
% 1.67/1.83 tff(12645,plain,
% 1.67/1.83 (~m_main_v_state(s85, c_busy)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11256, 3154, 12644])).
% 1.67/1.83 tff(12646,plain,
% 1.67/1.83 (m_main_v_state(s84, c_ready)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11326, 19, 12629])).
% 1.67/1.83 tff(12647,plain,
% 1.67/1.83 (~m_main_v_request(s84)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11299, 12646, 12645])).
% 1.67/1.83 tff(12648,plain,
% 1.67/1.83 (~node4(s84)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11290, 3141, 12647])).
% 1.67/1.83 tff(12649,plain,
% 1.67/1.83 (always3(s86)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[769, 12644])).
% 1.67/1.83 tff(12650,plain,
% 1.67/1.83 (~m_main_v_state(s86, c_busy)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11264, 3154, 12649])).
% 1.67/1.83 tff(12651,plain,
% 1.67/1.83 (m_main_v_state(s85, c_ready)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11268, 19, 12645])).
% 1.67/1.83 tff(12652,plain,
% 1.67/1.83 (~m_main_v_request(s85)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11277, 12651, 12650])).
% 1.67/1.83 tff(12653,plain,
% 1.67/1.83 (~node4(s85)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[11281, 3141, 12652])).
% 1.67/1.83 tff(12654,plain,
% 1.67/1.83 (~node1(s85)),
% 1.67/1.83 inference(unit_resolution,[status(thm)],[12253, 12650])).
% 1.67/1.84 tff(12655,plain,
% 1.67/1.84 (m_main_v_state(s86, c_ready)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12261, 12654, 12650])).
% 1.67/1.84 tff(12656,plain,
% 1.67/1.84 (~m_main_v_request(s86)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11378, 12655, 12615])).
% 1.67/1.84 tff(12657,plain,
% 1.67/1.84 (~node4(s86)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11369, 3141, 12656])).
% 1.67/1.84 tff(12658,plain,
% 1.67/1.84 (~until2p7(s86)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12618, 12657])).
% 1.67/1.84 tff(12659,plain,
% 1.67/1.84 (~xuntil2p8(s85)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3284, 12658])).
% 1.67/1.84 tff(12660,plain,
% 1.67/1.84 (~until2p7(s85)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3290, 3051, 12659, 12653])).
% 1.67/1.84 tff(12661,plain,
% 1.67/1.84 (~xuntil2p8(s84)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3296, 12660])).
% 1.67/1.84 tff(12662,plain,
% 1.67/1.84 (~until2p7(s84)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3302, 3051, 12661, 12648])).
% 1.67/1.84 tff(12663,plain,
% 1.67/1.84 ($false),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3308, 12662, 12643])).
% 1.67/1.84 tff(12664,plain,((~trans(s99, s81)) | xuntil2p8(s86) | m_main_v_state(s87, c_busy) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.84 tff(12665,plain,
% 1.67/1.84 (~trans(s99, s81)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12664, 12614, 12581, 4303])).
% 1.67/1.84 tff(12666,plain,
% 1.67/1.84 (~trans(s99, s87)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[5550, 12613, 4303])).
% 1.67/1.84 tff(12667,plain,
% 1.67/1.84 (~trans(s99, s82)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10704, 9611])).
% 1.67/1.84 tff(12668,plain,
% 1.67/1.84 (trans(s99, s80)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12575, 12667, 8428, 10896, 10894, 9500, 9505, 8425, 12411, 8429, 12355, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 12216, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 4303, 8300, 12451, 9514, 8299, 8298, 8297, 9522, 8296, 12666, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 12665, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 12624, 8227, 12186])).
% 1.67/1.84 tff(12669,plain,
% 1.67/1.84 ($false),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10798, 12668, 12185])).
% 1.67/1.84 tff(12670,plain,(always3(s82) | trans(s99, s9) | trans(s99, s98) | trans(s99, s99) | trans(s99, s94) | trans(s99, s96) | trans(s99, s33) | trans(s99, s46) | trans(s99, s6) | trans(s99, s79) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | (~xuntil6(s99)) | trans(s99, s36) | trans(s99, s97) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s95) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s77) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | xuntil2p8(s95)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.84 tff(12671,plain,
% 1.67/1.84 (always3(s82)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12670, 12183, 12126, 10894, 12116, 8428, 8425, 8429, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 4303, 8300, 12136, 8299, 8298, 8297, 12076, 8296, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 12182])).
% 1.67/1.84 tff(12672,plain,
% 1.67/1.84 (~m_main_v_state(s82, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11236, 3154, 12671])).
% 1.67/1.84 tff(12673,plain,
% 1.67/1.84 (always3(s87)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12577, 12183, 12126, 10894, 12116, 8428, 8425, 8429, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 4303, 8300, 12136, 8299, 8298, 8297, 12076, 8296, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 12182])).
% 1.67/1.84 tff(12674,plain,
% 1.67/1.84 (always3(s88)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[587, 12673])).
% 1.67/1.84 tff(12675,plain,
% 1.67/1.84 (~m_main_v_state(s88, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11345, 3154, 12674])).
% 1.67/1.84 tff(12676,plain,
% 1.67/1.84 (~m_main_v_state(s87, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11337, 3154, 12673])).
% 1.67/1.84 tff(12677,plain,
% 1.67/1.84 (m_main_v_state(s87, c_ready)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11349, 19, 12676])).
% 1.67/1.84 tff(12678,plain,
% 1.67/1.84 (~m_main_v_request(s87)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11358, 12677, 12675])).
% 1.67/1.84 tff(12679,plain,
% 1.67/1.84 (~node4(s87)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11362, 3141, 12678])).
% 1.67/1.84 tff(12680,plain,
% 1.67/1.84 (always3(s89)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[575, 12674])).
% 1.67/1.84 tff(12681,plain,
% 1.67/1.84 (always3(s90)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[563, 12680])).
% 1.67/1.84 tff(12682,plain,
% 1.67/1.84 (always3(s91)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[551, 12681])).
% 1.67/1.84 tff(12683,plain,
% 1.67/1.84 (~m_main_v_state(s91, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10355, 3154, 12682])).
% 1.67/1.84 tff(12684,plain,
% 1.67/1.84 (~m_main_v_state(s90, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10582, 3154, 12681])).
% 1.67/1.84 tff(12685,plain,
% 1.67/1.84 (m_main_v_state(s90, c_ready)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10588, 19, 12684])).
% 1.67/1.84 tff(12686,plain,
% 1.67/1.84 (~m_main_v_request(s90)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10597, 12685, 12683])).
% 1.67/1.84 tff(12687,plain,
% 1.67/1.84 (~node4(s90)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10601, 3141, 12686])).
% 1.67/1.84 tff(12688,plain,
% 1.67/1.84 (~trans(s99, s93)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12215, 12182, 12171, 4303])).
% 1.67/1.84 tff(12689,plain,
% 1.67/1.84 (~trans(s99, s83)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12354, 12182, 12171, 4303])).
% 1.67/1.84 tff(12690,plain,
% 1.67/1.84 (~trans(s99, s88)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12410, 12182, 12171, 4303])).
% 1.67/1.84 tff(12691,plain,
% 1.67/1.84 (always3(s92)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12425, 12183, 12126, 12116, 8425, 10894, 8429, 12690, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 12689, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 12688, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8428, 12136, 8299, 8298, 8297, 12076, 8296, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227])).
% 1.67/1.84 tff(12692,plain,
% 1.67/1.84 (~m_main_v_state(s92, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10332, 3154, 12691])).
% 1.67/1.84 tff(12693,plain,
% 1.67/1.84 (~node4(s91)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10361, 12692])).
% 1.67/1.84 tff(12694,plain,
% 1.67/1.84 (always3(s93)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[526, 12691])).
% 1.67/1.84 tff(12695,plain,
% 1.67/1.84 (always3(s94)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[514, 12694])).
% 1.67/1.84 tff(12696,plain,
% 1.67/1.84 (always3(s95)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[502, 12695])).
% 1.67/1.84 tff(12697,plain,
% 1.67/1.84 (~m_main_v_state(s95, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[9089, 3154, 12696])).
% 1.67/1.84 tff(12698,plain,
% 1.67/1.84 (~m_main_v_state(s94, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3160, 3154, 12695])).
% 1.67/1.84 tff(12699,plain,
% 1.67/1.84 (m_main_v_state(s94, c_ready)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[9142, 19, 12698])).
% 1.67/1.84 tff(12700,plain,
% 1.67/1.84 (~m_main_v_request(s94)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[9138, 12699, 12697])).
% 1.67/1.84 tff(12701,plain,
% 1.67/1.84 (~node4(s94)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[9129, 3141, 12700])).
% 1.67/1.84 tff(12702,plain,
% 1.67/1.84 (m_main_v_state(s95, c_ready)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[9117, 19, 12697])).
% 1.67/1.84 tff(12703,plain,
% 1.67/1.84 (~m_main_v_request(s95)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[9113, 12702, 12171])).
% 1.67/1.84 tff(12704,plain,
% 1.67/1.84 (~node4(s95)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[9104, 3141, 12703])).
% 1.67/1.84 tff(12705,plain,
% 1.67/1.84 (node4(s95) | (~until2p7(s95))),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3115, 3051, 12182])).
% 1.67/1.84 tff(12706,plain,
% 1.67/1.84 (~until2p7(s95)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12705, 12704])).
% 1.67/1.84 tff(12707,plain,
% 1.67/1.84 (~xuntil2p8(s94)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3121, 12706])).
% 1.67/1.84 tff(12708,plain,
% 1.67/1.84 (~until2p7(s94)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3126, 3051, 12707, 12701])).
% 1.67/1.84 tff(12709,plain,
% 1.67/1.84 (~xuntil2p8(s93)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3132, 12708])).
% 1.67/1.84 tff(12710,plain,
% 1.67/1.84 (~until2p7(s93)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3196, 12709])).
% 1.67/1.84 tff(12711,plain,
% 1.67/1.84 (~xuntil2p8(s92)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3201, 12710])).
% 1.67/1.84 tff(12712,plain,
% 1.67/1.84 (~m_main_v_state(s93, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3186, 3154, 12694])).
% 1.67/1.84 tff(12713,plain,
% 1.67/1.84 (m_main_v_state(s92, c_ready)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12335, 12692])).
% 1.67/1.84 tff(12714,plain,
% 1.67/1.84 (~m_main_v_request(s92)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10649, 12713, 12712])).
% 1.67/1.84 tff(12715,plain,
% 1.67/1.84 (~node4(s92)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10653, 3141, 12714])).
% 1.67/1.84 tff(12716,plain,
% 1.67/1.84 (xuntil2p8(s92) | (~until2p7(s92))),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3206, 3051, 12715])).
% 1.67/1.84 tff(12717,plain,
% 1.67/1.84 (~until2p7(s92)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12716, 12711])).
% 1.67/1.84 tff(12718,plain,
% 1.67/1.84 (~xuntil2p8(s91)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3212, 12717])).
% 1.67/1.84 tff(12719,plain,
% 1.67/1.84 (~until2p7(s91)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3218, 3051, 12718, 12693])).
% 1.67/1.84 tff(12720,plain,
% 1.67/1.84 (~xuntil2p8(s90)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3224, 12719])).
% 1.67/1.84 tff(12721,plain,
% 1.67/1.84 (node4(s90) | (~until2p7(s90))),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3230, 3051, 12720])).
% 1.67/1.84 tff(12722,plain,
% 1.67/1.84 (~until2p7(s90)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12721, 12687])).
% 1.67/1.84 tff(12723,plain,
% 1.67/1.84 (~xuntil2p8(s89)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3236, 12722])).
% 1.67/1.84 tff(12724,plain,
% 1.67/1.84 (~m_main_v_state(s89, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10625, 3154, 12680])).
% 1.67/1.84 tff(12725,plain,
% 1.67/1.84 (m_main_v_state(s89, c_ready)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12307, 12724])).
% 1.67/1.84 tff(12726,plain,
% 1.67/1.84 (~m_main_v_request(s89)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10617, 12725, 12684])).
% 1.67/1.84 tff(12727,plain,
% 1.67/1.84 (~node4(s89)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10608, 3141, 12726])).
% 1.67/1.84 tff(12728,plain,
% 1.67/1.84 (xuntil2p8(s89) | (~until2p7(s89))),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3242, 3051, 12727])).
% 1.67/1.84 tff(12729,plain,
% 1.67/1.84 (~until2p7(s89)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12728, 12723])).
% 1.67/1.84 tff(12730,plain,
% 1.67/1.84 (~xuntil2p8(s88)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3248, 12729])).
% 1.67/1.84 tff(12731,plain,
% 1.67/1.84 (m_main_v_state(s88, c_ready)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12280, 12675])).
% 1.67/1.84 tff(12732,plain,
% 1.67/1.84 (~m_main_v_request(s88)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11401, 12731, 12724])).
% 1.67/1.84 tff(12733,plain,
% 1.67/1.84 (~node4(s88)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11405, 3141, 12732])).
% 1.67/1.84 tff(12734,plain,
% 1.67/1.84 (xuntil2p8(s88) | (~until2p7(s88))),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3254, 3051, 12733])).
% 1.67/1.84 tff(12735,plain,
% 1.67/1.84 (~until2p7(s88)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12734, 12730])).
% 1.67/1.84 tff(12736,plain,
% 1.67/1.84 (~xuntil2p8(s87)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3260, 12735])).
% 1.67/1.84 tff(12737,plain,
% 1.67/1.84 (~until2p7(s87)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3266, 3051, 12736, 12679])).
% 1.67/1.84 tff(12738,plain,
% 1.67/1.84 (~xuntil2p8(s86)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3272, 12737])).
% 1.67/1.84 tff(12739,plain,
% 1.67/1.84 (~trans(s99, s86)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12623, 12676, 12738, 4303])).
% 1.67/1.84 tff(12740,plain,
% 1.67/1.84 (~trans(s99, s81)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12664, 12738, 12676, 4303])).
% 1.67/1.84 tff(12741,plain,
% 1.67/1.84 (~trans(s99, s87)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[5550, 12737, 4303])).
% 1.67/1.84 tff(12742,plain,
% 1.67/1.84 (~trans(s99, s92)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[4910, 12717, 4303])).
% 1.67/1.84 tff(12743,plain,
% 1.67/1.84 (always3(s83)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[856, 12671])).
% 1.67/1.84 tff(12744,plain,
% 1.67/1.84 (always3(s84)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[827, 12743])).
% 1.67/1.84 tff(12745,plain,
% 1.67/1.84 (always3(s85)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[798, 12744])).
% 1.67/1.84 tff(12746,plain,
% 1.67/1.84 (~m_main_v_state(s85, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11256, 3154, 12745])).
% 1.67/1.84 tff(12747,plain,
% 1.67/1.84 (~m_main_v_state(s84, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11322, 3154, 12744])).
% 1.67/1.84 tff(12748,plain,
% 1.67/1.84 (m_main_v_state(s84, c_ready)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11326, 19, 12747])).
% 1.67/1.84 tff(12749,plain,
% 1.67/1.84 (~m_main_v_request(s84)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11299, 12748, 12746])).
% 1.67/1.84 tff(12750,plain,
% 1.67/1.84 (~node4(s84)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11290, 3141, 12749])).
% 1.67/1.84 tff(12751,plain,
% 1.67/1.84 (always3(s86)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[769, 12745])).
% 1.67/1.84 tff(12752,plain,
% 1.67/1.84 (~m_main_v_state(s86, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11264, 3154, 12751])).
% 1.67/1.84 tff(12753,plain,
% 1.67/1.84 (m_main_v_state(s85, c_ready)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11268, 19, 12746])).
% 1.67/1.84 tff(12754,plain,
% 1.67/1.84 (~m_main_v_request(s85)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11277, 12753, 12752])).
% 1.67/1.84 tff(12755,plain,
% 1.67/1.84 (~node4(s85)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11281, 3141, 12754])).
% 1.67/1.84 tff(12756,plain,
% 1.67/1.84 (~node1(s85)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12253, 12752])).
% 1.67/1.84 tff(12757,plain,
% 1.67/1.84 (m_main_v_state(s86, c_ready)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12261, 12756, 12752])).
% 1.67/1.84 tff(12758,plain,
% 1.67/1.84 (~m_main_v_request(s86)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11378, 12757, 12676])).
% 1.67/1.84 tff(12759,plain,
% 1.67/1.84 (~node4(s86)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11369, 3141, 12758])).
% 1.67/1.84 tff(12760,plain,
% 1.67/1.84 (node4(s86) | (~until2p7(s86))),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3278, 3051, 12738])).
% 1.67/1.84 tff(12761,plain,
% 1.67/1.84 (~until2p7(s86)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12760, 12759])).
% 1.67/1.84 tff(12762,plain,
% 1.67/1.84 (~xuntil2p8(s85)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3284, 12761])).
% 1.67/1.84 tff(12763,plain,
% 1.67/1.84 (~until2p7(s85)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3290, 3051, 12762, 12755])).
% 1.67/1.84 tff(12764,plain,
% 1.67/1.84 (~xuntil2p8(s84)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3296, 12763])).
% 1.67/1.84 tff(12765,plain,
% 1.67/1.84 (~until2p7(s84)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3302, 3051, 12764, 12750])).
% 1.67/1.84 tff(12766,plain,
% 1.67/1.84 (~xuntil2p8(s83)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3308, 12765])).
% 1.67/1.84 tff(12767,plain,
% 1.67/1.84 (~node4(s83)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11669, 12747])).
% 1.67/1.84 tff(12768,plain,
% 1.67/1.84 (xuntil2p8(s83) | (~until2p7(s83))),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3314, 3051, 12767])).
% 1.67/1.84 tff(12769,plain,
% 1.67/1.84 (~until2p7(s83)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12768, 12766])).
% 1.67/1.84 tff(12770,plain,
% 1.67/1.84 (~xuntil2p8(s82)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3320, 12769])).
% 1.67/1.84 tff(12771,plain,
% 1.67/1.84 (~until2p7(s82)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12640, 12770])).
% 1.67/1.84 tff(12772,plain,
% 1.67/1.84 (~trans(s99, s82)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[4822, 12771, 4303])).
% 1.67/1.84 tff(12773,plain,
% 1.67/1.84 (trans(s99, s80)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12575, 12772, 8428, 12126, 10894, 12116, 12183, 8425, 12690, 8429, 12689, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 12688, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 4303, 8300, 12742, 12136, 8299, 8298, 8297, 12076, 8296, 12741, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 12740, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 12739, 8227, 12182])).
% 1.67/1.84 tff(12774,plain,
% 1.67/1.84 (always3(s80)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10798, 12773])).
% 1.67/1.84 tff(12775,plain,
% 1.67/1.84 (always3(s81)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[914, 12774])).
% 1.67/1.84 tff(12776,plain,
% 1.67/1.84 (~m_main_v_state(s81, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11885, 3154, 12775])).
% 1.67/1.84 tff(12777,plain,
% 1.67/1.84 (m_main_v_state(s81, c_ready)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11891, 19, 12776])).
% 1.67/1.84 tff(12778,plain,
% 1.67/1.84 (~m_main_v_request(s81)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11900, 12777, 12672])).
% 1.67/1.84 tff(12779,plain,
% 1.67/1.84 (~node4(s81)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11904, 3141, 12778])).
% 1.67/1.84 tff(12780,plain,
% 1.67/1.84 (~xuntil2p8(s81)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3332, 12771])).
% 1.67/1.84 tff(12781,plain,
% 1.67/1.84 (node4(s81) | (~until2p7(s81))),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3338, 3051, 12780])).
% 1.67/1.84 tff(12782,plain,
% 1.67/1.84 (~until2p7(s81)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12781, 12779])).
% 1.67/1.84 tff(12783,plain,
% 1.67/1.84 (~xuntil2p8(s80)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3344, 12782])).
% 1.67/1.84 tff(12784,plain,
% 1.67/1.84 (until2p7(s80)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[5009, 12773, 4303])).
% 1.67/1.84 tff(12785,plain,
% 1.67/1.84 (node4(s80) | xuntil2p8(s80)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[3350, 3051, 12784])).
% 1.67/1.84 tff(12786,plain,
% 1.67/1.84 (node4(s80)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12785, 12783])).
% 1.67/1.84 tff(12787,plain,
% 1.67/1.84 (~m_main_v_state(s80, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11958, 3154, 12774])).
% 1.67/1.84 tff(12788,plain,
% 1.67/1.84 (m_main_v_state(s80, c_ready)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11962, 19, 12787])).
% 1.67/1.84 tff(12789,plain,
% 1.67/1.84 (~m_main_v_request(s80)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11922, 12788, 12776])).
% 1.67/1.84 tff(12790,plain,
% 1.67/1.84 ($false),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11913, 3141, 12789, 12786])).
% 1.67/1.84 tff(12791,plain,(m_main_v_state(s98, c_busy) | (~xuntil6(s99)) | trans(s99, s9) | trans(s99, s99) | trans(s99, s33) | trans(s99, s46) | trans(s99, s6) | trans(s99, s79) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s77) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | xuntil2p8(s98)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.84 tff(12792,plain,
% 1.67/1.84 (m_main_v_state(s98, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12791, 12037, 8428, 12038, 8425, 8429, 8424, 12030, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 12029, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 12028, 10889, 8277, 8276, 8275, 8274, 10903, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 8443])).
% 1.67/1.84 tff(12793,plain,
% 1.67/1.84 (~always3(s98)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[9173, 3154, 12792])).
% 1.67/1.84 tff(12794,plain,
% 1.67/1.84 (~always3(s97)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[466, 12793])).
% 1.67/1.84 tff(12795,plain,
% 1.67/1.84 (~always3(s96)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[478, 12794])).
% 1.67/1.84 tff(12796,plain,
% 1.67/1.84 (~always3(s95)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[490, 12795])).
% 1.67/1.84 tff(12797,plain,
% 1.67/1.84 (~trans(s99, s94)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12115, 12037, 8443])).
% 1.67/1.84 tff(12798,plain,
% 1.67/1.84 (~trans(s99, s98)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12125, 12037, 8443])).
% 1.67/1.84 tff(12799,plain,
% 1.67/1.84 (~trans(s99, s97)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12131, 12794])).
% 1.67/1.84 tff(12800,plain,
% 1.67/1.84 (trans(s99, s95)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12167, 12799, 12038, 12798, 12797, 8425, 8429, 8424, 12030, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 12029, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8428, 8299, 8298, 8297, 12795, 8296, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 12028, 10889, 8277, 8276, 8275, 8274, 10903, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227])).
% 1.67/1.84 tff(12801,plain,
% 1.67/1.84 ($false),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12050, 12800, 12796])).
% 1.67/1.84 tff(12802,plain,(always3(s79) | trans(s99, s33) | trans(s99, s46) | trans(s99, s6) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s36) | trans(s99, s9) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | node4(s99) | (~until5(s75)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.84 tff(12803,plain,
% 1.67/1.84 (always3(s79)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12802, 3009, 8429, 8424, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8428, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10889, 8277, 8276, 8275, 8274, 10903, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 8425, 8915, 8122])).
% 1.67/1.84 tff(12804,plain,
% 1.67/1.84 (always3(s80)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[943, 12803])).
% 1.67/1.84 tff(12805,plain,
% 1.67/1.84 ($false),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11958, 3154, 12804, 12026])).
% 1.67/1.84 tff(12806,plain,(node4(s99) | (~until5(s78)) | (~until5(s75)) | (~until5(s39)) | xuntil6(s99) | trans(s99, s46) | trans(s99, s6) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s36) | trans(s99, s9) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | trans(s99, s33)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.84 tff(12807,plain,
% 1.67/1.84 (node4(s99)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12806, 3001, 8915, 8122, 11639, 8429, 8424, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8428, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10889, 8277, 8276, 8275, 8274, 10903, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 8425])).
% 1.67/1.84 tff(12808,plain,
% 1.67/1.84 (m_main_v_request(s99)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11422, 12807])).
% 1.67/1.84 tff(12809,plain,
% 1.67/1.84 (~node2(s99, s92)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10779, 12808, 10333])).
% 1.67/1.84 tff(12810,plain,
% 1.67/1.84 (~trans(s99, s92)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10786, 12809])).
% 1.67/1.84 tff(12811,plain,
% 1.67/1.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s78)) | node2(s99, s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s78)) | node2(s99, s78))),
% 1.67/1.84 inference(rewrite,[status(thm)],[])).
% 1.67/1.84 tff(12812,plain,
% 1.67/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s78)) | node2(s99, s78))),
% 1.67/1.84 inference(quant_inst,[status(thm)],[])).
% 1.67/1.84 tff(12813,plain,
% 1.67/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s78)) | node2(s99, s78)),
% 1.67/1.84 inference(modus_ponens,[status(thm)],[12812, 12811])).
% 1.67/1.84 tff(12814,plain,
% 1.67/1.84 (node2(s99, s78)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12813, 5366, 7])).
% 1.67/1.84 tff(12815,plain,
% 1.67/1.84 (always3(s78)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10843, 5366])).
% 1.67/1.84 tff(12816,plain,
% 1.67/1.84 (~m_main_v_state(s78, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[8938, 3154, 12815])).
% 1.67/1.84 tff(12817,plain,
% 1.67/1.84 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s78, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s78)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s78, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s78)))),
% 1.67/1.84 inference(rewrite,[status(thm)],[])).
% 1.67/1.84 tff(12818,plain,
% 1.67/1.84 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s78, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s78)))),
% 1.67/1.84 inference(rewrite,[status(thm)],[])).
% 1.67/1.84 tff(12819,plain,
% 1.67/1.84 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s78, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s78))))),
% 1.67/1.84 inference(monotonicity,[status(thm)],[12818])).
% 1.67/1.84 tff(12820,plain,
% 1.67/1.84 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s78, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s78)))),
% 1.67/1.84 inference(transitivity,[status(thm)],[12819, 12817])).
% 1.67/1.84 tff(12821,plain,
% 1.67/1.84 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s78)) | m_main_v_state(s78, c_busy) | (~m_main_v_request(s99)))),
% 1.67/1.84 inference(quant_inst,[status(thm)],[])).
% 1.67/1.84 tff(12822,plain,
% 1.67/1.84 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s78, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s78))),
% 1.67/1.84 inference(modus_ponens,[status(thm)],[12821, 12820])).
% 1.67/1.84 tff(12823,plain,
% 1.67/1.84 ($false),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12822, 3175, 12816, 10756, 9290, 12814])).
% 1.67/1.84 tff(12824,plain,((~trans(s99, s78)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.84 tff(12825,plain,
% 1.67/1.84 (~trans(s99, s78)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12824, 12808])).
% 1.67/1.84 tff(12826,plain,
% 1.67/1.84 (~trans(s99, s95)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10768, 12808])).
% 1.67/1.84 tff(12827,plain,
% 1.67/1.84 (~trans(s99, s97)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[10766, 12808])).
% 1.67/1.84 tff(12828,plain,
% 1.67/1.84 (~trans(s99, s86)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11437, 12808])).
% 1.67/1.84 tff(12829,plain,
% 1.67/1.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s81)) | node2(s99, s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s81)) | node2(s99, s81))),
% 1.67/1.84 inference(rewrite,[status(thm)],[])).
% 1.67/1.84 tff(12830,plain,
% 1.67/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s81)) | node2(s99, s81))),
% 1.67/1.84 inference(quant_inst,[status(thm)],[])).
% 1.67/1.84 tff(12831,plain,
% 1.67/1.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s81)) | node2(s99, s81)),
% 1.67/1.84 inference(modus_ponens,[status(thm)],[12830, 12829])).
% 1.67/1.84 tff(12832,plain,
% 1.67/1.84 (node2(s99, s81)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12831, 5122, 7])).
% 1.67/1.84 tff(12833,plain,
% 1.67/1.84 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s81, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s81)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s81, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s81)))),
% 1.67/1.84 inference(rewrite,[status(thm)],[])).
% 1.67/1.84 tff(12834,plain,
% 1.67/1.84 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s81, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s81)))),
% 1.67/1.84 inference(rewrite,[status(thm)],[])).
% 1.67/1.84 tff(12835,plain,
% 1.67/1.84 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s81, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s81))))),
% 1.67/1.84 inference(monotonicity,[status(thm)],[12834])).
% 1.67/1.84 tff(12836,plain,
% 1.67/1.84 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s81, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s81)))),
% 1.67/1.84 inference(transitivity,[status(thm)],[12835, 12833])).
% 1.67/1.84 tff(12837,plain,
% 1.67/1.84 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s99)))),
% 1.67/1.84 inference(quant_inst,[status(thm)],[])).
% 1.67/1.84 tff(12838,plain,
% 1.67/1.84 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s81, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s81))),
% 1.67/1.84 inference(modus_ponens,[status(thm)],[12837, 12836])).
% 1.67/1.84 tff(12839,plain,
% 1.67/1.84 ($false),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12838, 3175, 12632, 10756, 9290, 12832])).
% 1.67/1.84 tff(12840,plain,((~trans(s99, s81)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.84 tff(12841,plain,
% 1.67/1.84 (~trans(s99, s81)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[12840, 12808])).
% 1.67/1.84 tff(12842,plain,
% 1.67/1.84 (~m_main_v_state(s83, c_busy)),
% 1.67/1.84 inference(unit_resolution,[status(thm)],[11220, 3154, 11634])).
% 1.67/1.84 tff(12843,assumption,(node2(s99, s83)), introduced(assumption)).
% 1.67/1.84 tff(12844,assumption,(~m_main_v_state(s83, c_busy)), introduced(assumption)).
% 1.67/1.84 tff(12845,plain,
% 1.67/1.84 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s83, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s83)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s83, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s83)))),
% 1.67/1.84 inference(rewrite,[status(thm)],[])).
% 1.67/1.84 tff(12846,plain,
% 1.67/1.84 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s83, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s83)))),
% 1.67/1.84 inference(rewrite,[status(thm)],[])).
% 1.67/1.84 tff(12847,plain,
% 1.67/1.84 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s83, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s83))))),
% 1.67/1.85 inference(monotonicity,[status(thm)],[12846])).
% 1.67/1.85 tff(12848,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s83, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s83)))),
% 1.67/1.85 inference(transitivity,[status(thm)],[12847, 12845])).
% 1.67/1.85 tff(12849,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s99)))),
% 1.67/1.85 inference(quant_inst,[status(thm)],[])).
% 1.67/1.85 tff(12850,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s83, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s83))),
% 1.67/1.85 inference(modus_ponens,[status(thm)],[12849, 12848])).
% 1.67/1.85 tff(12851,plain,
% 1.67/1.85 ($false),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12850, 3175, 12844, 10756, 9290, 12843])).
% 1.67/1.85 tff(12852,plain,((~node2(s99, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.85 tff(12853,plain,
% 1.67/1.85 (~node2(s99, s83)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12852, 12842, 12808])).
% 1.67/1.85 tff(12854,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s83)) | node2(s99, s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s83)) | node2(s99, s83))),
% 1.67/1.85 inference(rewrite,[status(thm)],[])).
% 1.67/1.85 tff(12855,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s83)) | node2(s99, s83))),
% 1.67/1.85 inference(quant_inst,[status(thm)],[])).
% 1.67/1.85 tff(12856,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s83)) | node2(s99, s83)),
% 1.67/1.85 inference(modus_ponens,[status(thm)],[12855, 12854])).
% 1.67/1.85 tff(12857,plain,
% 1.67/1.85 (~trans(s99, s83)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12856, 7, 12853])).
% 1.67/1.85 tff(12858,plain,
% 1.67/1.85 (~node2(s99, s88)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[11578, 12808, 11389])).
% 1.67/1.85 tff(12859,assumption,(~node2(s99, s88)), introduced(assumption)).
% 1.67/1.85 tff(12860,plain,
% 1.67/1.85 ($false),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[11582, 4316, 7, 12859])).
% 1.67/1.85 tff(12861,plain,((~trans(s99, s88)) | node2(s99, s88)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.85 tff(12862,plain,
% 1.67/1.85 (~trans(s99, s88)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12861, 12858])).
% 1.67/1.85 tff(12863,plain,
% 1.67/1.85 (~trans(s99, s87)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[11566, 12808])).
% 1.67/1.85 tff(12864,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s82)) | node2(s99, s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s82)) | node2(s99, s82))),
% 1.67/1.85 inference(rewrite,[status(thm)],[])).
% 1.67/1.85 tff(12865,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s82)) | node2(s99, s82))),
% 1.67/1.85 inference(quant_inst,[status(thm)],[])).
% 1.67/1.85 tff(12866,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s82)) | node2(s99, s82)),
% 1.67/1.85 inference(modus_ponens,[status(thm)],[12865, 12864])).
% 1.67/1.85 tff(12867,plain,
% 1.67/1.85 (node2(s99, s82)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12866, 4814, 7])).
% 1.67/1.85 tff(12868,plain,
% 1.67/1.85 (always3(s82)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10704, 4814])).
% 1.67/1.85 tff(12869,plain,
% 1.67/1.85 (~m_main_v_state(s82, c_busy)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[11236, 3154, 12868])).
% 1.67/1.85 tff(12870,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s82, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s82)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s82, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s82)))),
% 1.67/1.85 inference(rewrite,[status(thm)],[])).
% 1.67/1.85 tff(12871,plain,
% 1.67/1.85 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s82)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s82, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s82)))),
% 1.67/1.85 inference(rewrite,[status(thm)],[])).
% 1.67/1.85 tff(12872,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s82)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s82, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s82))))),
% 1.67/1.85 inference(monotonicity,[status(thm)],[12871])).
% 1.67/1.85 tff(12873,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s82)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s82, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s82)))),
% 1.67/1.85 inference(transitivity,[status(thm)],[12872, 12870])).
% 1.67/1.85 tff(12874,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s82)) | m_main_v_state(s82, c_busy) | (~m_main_v_request(s99)))),
% 1.67/1.85 inference(quant_inst,[status(thm)],[])).
% 1.67/1.85 tff(12875,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s82, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s82))),
% 1.67/1.85 inference(modus_ponens,[status(thm)],[12874, 12873])).
% 1.67/1.85 tff(12876,plain,
% 1.67/1.85 ($false),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12875, 3175, 12869, 10756, 9290, 12867])).
% 1.67/1.85 tff(12877,plain,((~trans(s99, s82)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.85 tff(12878,plain,
% 1.67/1.85 (~trans(s99, s82)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12877, 12808])).
% 1.67/1.85 tff(12879,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s80)) | node2(s99, s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s80)) | node2(s99, s80))),
% 1.67/1.85 inference(rewrite,[status(thm)],[])).
% 1.67/1.85 tff(12880,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s80)) | node2(s99, s80))),
% 1.67/1.85 inference(quant_inst,[status(thm)],[])).
% 1.67/1.85 tff(12881,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s80)) | node2(s99, s80)),
% 1.67/1.85 inference(modus_ponens,[status(thm)],[12880, 12879])).
% 1.67/1.85 tff(12882,plain,
% 1.67/1.85 (node2(s99, s80)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12881, 5001, 7])).
% 1.67/1.85 tff(12883,plain,
% 1.67/1.85 (always3(s80)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10798, 5001])).
% 1.67/1.85 tff(12884,plain,
% 1.67/1.85 (~m_main_v_state(s80, c_busy)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[11958, 3154, 12883])).
% 1.67/1.85 tff(12885,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s80, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s80)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s80, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s80)))),
% 1.67/1.85 inference(rewrite,[status(thm)],[])).
% 1.67/1.85 tff(12886,plain,
% 1.67/1.85 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s80, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s80)))),
% 1.67/1.85 inference(rewrite,[status(thm)],[])).
% 1.67/1.85 tff(12887,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s80, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s80))))),
% 1.67/1.85 inference(monotonicity,[status(thm)],[12886])).
% 1.67/1.85 tff(12888,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s80, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s80)))),
% 1.67/1.85 inference(transitivity,[status(thm)],[12887, 12885])).
% 1.67/1.85 tff(12889,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s80)) | m_main_v_state(s80, c_busy) | (~m_main_v_request(s99)))),
% 1.67/1.85 inference(quant_inst,[status(thm)],[])).
% 1.67/1.85 tff(12890,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s80, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s80))),
% 1.67/1.85 inference(modus_ponens,[status(thm)],[12889, 12888])).
% 1.67/1.85 tff(12891,plain,
% 1.67/1.85 ($false),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12890, 3175, 12884, 10756, 9290, 12882])).
% 1.67/1.85 tff(12892,plain,((~trans(s99, s80)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.85 tff(12893,plain,
% 1.67/1.85 (~trans(s99, s80)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12892, 12808])).
% 1.67/1.85 tff(12894,plain,
% 1.67/1.85 (~node2(s99, s96)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10868, 12808, 10867])).
% 1.67/1.85 tff(12895,plain,
% 1.67/1.85 (~trans(s99, s96)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10872, 12894])).
% 1.67/1.85 tff(12896,plain,
% 1.67/1.85 (~node2(s99, s93)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10874, 12808, 10636])).
% 1.67/1.85 tff(12897,plain,
% 1.67/1.85 (~trans(s99, s93)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10878, 12896])).
% 1.67/1.85 tff(12898,plain,
% 1.67/1.85 (~node2(s99, s98)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10828, 12808, 10827])).
% 1.67/1.85 tff(12899,plain,
% 1.67/1.85 (~trans(s99, s98)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10832, 12898])).
% 1.67/1.85 tff(12900,plain,
% 1.67/1.85 (~node2(s99, s94)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10757, 12808, 10708])).
% 1.67/1.85 tff(12901,plain,
% 1.67/1.85 (~trans(s99, s94)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10761, 12900])).
% 1.67/1.85 tff(12902,plain,
% 1.67/1.85 (~node2(s99, s99)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10789, 12808])).
% 1.67/1.85 tff(12903,plain,
% 1.67/1.85 (~trans(s99, s99)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10302, 12902])).
% 1.67/1.85 tff(12904,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s79)) | node2(s99, s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s79)) | node2(s99, s79))),
% 1.67/1.85 inference(rewrite,[status(thm)],[])).
% 1.67/1.85 tff(12905,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s79)) | node2(s99, s79))),
% 1.67/1.85 inference(quant_inst,[status(thm)],[])).
% 1.67/1.85 tff(12906,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s79)) | node2(s99, s79)),
% 1.67/1.85 inference(modus_ponens,[status(thm)],[12905, 12904])).
% 1.67/1.85 tff(12907,plain,
% 1.67/1.85 (node2(s99, s79)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12906, 5476, 7])).
% 1.67/1.85 tff(12908,plain,
% 1.67/1.85 (always3(s79)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10854, 5476])).
% 1.67/1.85 tff(12909,plain,
% 1.67/1.85 (~m_main_v_state(s79, c_busy)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[11983, 3154, 12908])).
% 1.67/1.85 tff(12910,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s79, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s79)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s79, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s79)))),
% 1.67/1.85 inference(rewrite,[status(thm)],[])).
% 1.67/1.85 tff(12911,plain,
% 1.67/1.85 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s79, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s79)))),
% 1.67/1.85 inference(rewrite,[status(thm)],[])).
% 1.67/1.85 tff(12912,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s79, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s79))))),
% 1.67/1.85 inference(monotonicity,[status(thm)],[12911])).
% 1.67/1.85 tff(12913,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s79, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s79)))),
% 1.67/1.85 inference(transitivity,[status(thm)],[12912, 12910])).
% 1.67/1.85 tff(12914,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s79)) | m_main_v_state(s79, c_busy) | (~m_main_v_request(s99)))),
% 1.67/1.85 inference(quant_inst,[status(thm)],[])).
% 1.67/1.85 tff(12915,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s79, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s79))),
% 1.67/1.85 inference(modus_ponens,[status(thm)],[12914, 12913])).
% 1.67/1.85 tff(12916,plain,
% 1.67/1.85 ($false),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12915, 3175, 12909, 10756, 9290, 12907])).
% 1.67/1.85 tff(12917,plain,((~trans(s99, s79)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.85 tff(12918,plain,
% 1.67/1.85 (~trans(s99, s79)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12917, 12808])).
% 1.67/1.85 tff(12919,plain,
% 1.67/1.85 (~node2(s99, s89)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[11446, 9290, 11444])).
% 1.67/1.85 tff(12920,plain,
% 1.67/1.85 (~node2(s99, s85)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[11613, 9290, 11605])).
% 1.67/1.85 tff(12921,assumption,(~node2(s99, s85)), introduced(assumption)).
% 1.67/1.85 tff(12922,plain,
% 1.67/1.85 ($false),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[11617, 4426, 7, 12921])).
% 1.67/1.85 tff(12923,plain,((~trans(s99, s85)) | node2(s99, s85)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.85 tff(12924,plain,
% 1.67/1.85 (~trans(s99, s85)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12923, 12920])).
% 1.67/1.85 tff(12925,plain,
% 1.67/1.85 (~node2(s99, s91)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10924, 9290, 10916])).
% 1.67/1.85 tff(12926,plain,
% 1.67/1.85 (~trans(s99, s91)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[11588, 12925])).
% 1.67/1.85 tff(12927,plain,
% 1.67/1.85 (~node2(s99, s90)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10946, 9290, 10938])).
% 1.67/1.85 tff(12928,plain,
% 1.67/1.85 (~trans(s99, s90)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[11456, 12927])).
% 1.67/1.85 tff(12929,assumption,(node2(s99, s84)), introduced(assumption)).
% 1.67/1.85 tff(12930,plain,
% 1.67/1.85 ($false),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[11631, 3175, 11648, 10756, 9290, 12929])).
% 1.67/1.85 tff(12931,plain,((~node2(s99, s84)) | m_main_v_state(s84, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.85 tff(12932,plain,
% 1.67/1.85 (~node2(s99, s84)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12931, 9290, 11648])).
% 1.67/1.85 tff(12933,plain,
% 1.67/1.85 (~trans(s99, s84)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[11622, 7, 12932])).
% 1.67/1.85 tff(12934,plain,
% 1.67/1.85 (trans(s99, s89)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10910, 12933, 8428, 10896, 10894, 9500, 10893, 8425, 10904, 8429, 9505, 8424, 10900, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 9518, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10902, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 10880, 9503, 9502, 9501, 8302, 8301, 9499, 9521, 8300, 9509, 10901, 9514, 8299, 8298, 8297, 9522, 8296, 9504, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 9402, 8273, 12928, 10886, 8272, 10888, 8260, 12926, 10885, 10883, 8229, 8228, 12924, 8227])).
% 1.67/1.85 tff(12935,plain,
% 1.67/1.85 ($false),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10955, 12934, 7, 12919])).
% 1.67/1.85 tff(12936,plain,((~m_main_v_request(s99)) | trans(s99, s9) | trans(s99, s98) | trans(s99, s99) | trans(s99, s94) | trans(s99, s82) | trans(s99, s33) | trans(s99, s93) | trans(s99, s46) | trans(s99, s96) | trans(s99, s6) | trans(s99, s79) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s87) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s88) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s83) | trans(s99, s36) | trans(s99, s81) | trans(s99, s86) | trans(s99, s97) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s95) | trans(s99, s34) | trans(s99, s80) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s77) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s92) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | m_main_v_state(s84, c_busy) | m_main_v_state(s85, c_busy) | m_main_v_state(s89, c_busy) | m_main_v_state(s90, c_busy) | m_main_v_state(s91, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.85 tff(12937,plain,
% 1.67/1.85 (trans(s99, s77)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12936, 12918, 12808, 12903, 12901, 12899, 8425, 12897, 8429, 12895, 8424, 12893, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 12878, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 12863, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 12862, 9503, 9502, 9501, 8302, 8301, 9499, 12857, 8300, 12841, 12828, 12827, 8299, 8298, 8297, 12826, 8296, 8428, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 12825, 10889, 8277, 8276, 8275, 8274, 10903, 12810, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 11638, 11637, 10973, 10972, 10971])).
% 1.67/1.85 tff(12938,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s77)) | node2(s99, s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s77)) | node2(s99, s77))),
% 1.67/1.85 inference(rewrite,[status(thm)],[])).
% 1.67/1.85 tff(12939,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s77)) | node2(s99, s77))),
% 1.67/1.85 inference(quant_inst,[status(thm)],[])).
% 1.67/1.85 tff(12940,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s77)) | node2(s99, s77)),
% 1.67/1.85 inference(modus_ponens,[status(thm)],[12939, 12938])).
% 1.67/1.85 tff(12941,plain,
% 1.67/1.85 (node2(s99, s77)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12940, 12937, 7])).
% 1.67/1.85 tff(12942,plain,
% 1.67/1.85 (always3(s77)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10694, 12937])).
% 1.67/1.85 tff(12943,plain,
% 1.67/1.85 (~m_main_v_state(s77, c_busy)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[8961, 3154, 12942])).
% 1.67/1.85 tff(12944,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s77, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s77)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s77, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s77)))),
% 1.67/1.85 inference(rewrite,[status(thm)],[])).
% 1.67/1.85 tff(12945,plain,
% 1.67/1.85 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s77, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s77)))),
% 1.67/1.85 inference(rewrite,[status(thm)],[])).
% 1.67/1.85 tff(12946,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s77, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s77))))),
% 1.67/1.85 inference(monotonicity,[status(thm)],[12945])).
% 1.67/1.85 tff(12947,plain,
% 1.67/1.85 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s77, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s77)))),
% 1.67/1.85 inference(transitivity,[status(thm)],[12946, 12944])).
% 1.67/1.85 tff(12948,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s99)))),
% 1.67/1.85 inference(quant_inst,[status(thm)],[])).
% 1.67/1.85 tff(12949,plain,
% 1.67/1.85 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s77, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s77))),
% 1.67/1.85 inference(modus_ponens,[status(thm)],[12948, 12947])).
% 1.67/1.85 tff(12950,plain,
% 1.67/1.85 ($false),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12949, 3175, 12943, 10756, 12808, 12941])).
% 1.67/1.85 tff(12951,plain,(xuntil6(s99) | trans(s99, s33) | trans(s99, s46) | trans(s99, s6) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s9) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | (~until5(s75)) | (~until5(s39)) | (~until5(s78))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.85 tff(12952,plain,
% 1.67/1.85 (xuntil6(s99)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12951, 8871, 8870, 8869, 8868, 8867, 8856, 8845, 8844, 8843, 8832, 8831, 8830, 8829, 8828, 8827, 8826, 8825, 8824, 8823, 8822, 8821, 8820, 8819, 8818, 8817, 8806, 8795, 8794, 8793, 8790, 8789, 8788, 8777, 8776, 8765, 8764, 8753, 8752, 8751, 8750, 8740, 8739, 8738, 8737, 8736, 8735, 8734, 8723, 8722, 8721, 8720, 8719, 8872, 8718, 8717, 8716, 8715, 8704, 8703, 8702, 8701, 8700, 8690, 8689, 8688, 8674, 8673, 8662, 8661, 8650, 8649, 8648, 8647, 8646, 8645, 8644, 8643, 8623, 8497, 8969])).
% 1.67/1.85 tff(12953,plain,
% 1.67/1.85 (~m_main_v_state(s79, c_busy)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[11983, 3154, 12803])).
% 1.67/1.85 tff(12954,plain,
% 1.67/1.85 (always3(s81)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[914, 12804])).
% 1.67/1.85 tff(12955,plain,
% 1.67/1.85 (always3(s82)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[885, 12954])).
% 1.67/1.85 tff(12956,plain,
% 1.67/1.85 (always3(s83)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[856, 12955])).
% 1.67/1.85 tff(12957,plain,
% 1.67/1.85 (always3(s84)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[827, 12956])).
% 1.67/1.85 tff(12958,plain,
% 1.67/1.85 (always3(s85)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[798, 12957])).
% 1.67/1.85 tff(12959,plain,
% 1.67/1.85 (always3(s86)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[769, 12958])).
% 1.67/1.85 tff(12960,plain,
% 1.67/1.85 (always3(s87)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[731, 12959])).
% 1.67/1.85 tff(12961,plain,
% 1.67/1.85 (always3(s88)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[587, 12960])).
% 1.67/1.85 tff(12962,plain,
% 1.67/1.85 (always3(s89)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[575, 12961])).
% 1.67/1.85 tff(12963,plain,
% 1.67/1.85 (always3(s90)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[563, 12962])).
% 1.67/1.85 tff(12964,plain,
% 1.67/1.85 (always3(s91)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[551, 12963])).
% 1.67/1.85 tff(12965,plain,
% 1.67/1.85 (always3(s92)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[539, 12964])).
% 1.67/1.85 tff(12966,plain,
% 1.67/1.85 (always3(s93)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[526, 12965])).
% 1.67/1.85 tff(12967,plain,
% 1.67/1.85 (always3(s94)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[514, 12966])).
% 1.67/1.85 tff(12968,plain,
% 1.67/1.85 (always3(s95)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[502, 12967])).
% 1.67/1.85 tff(12969,plain,
% 1.67/1.85 (always3(s96)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[490, 12968])).
% 1.67/1.85 tff(12970,plain,
% 1.67/1.85 (always3(s97)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[478, 12969])).
% 1.67/1.85 tff(12971,plain,
% 1.67/1.85 (~m_main_v_state(s97, c_busy)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9200, 3154, 12970])).
% 1.67/1.85 tff(12972,plain,
% 1.67/1.85 (~m_main_v_state(s96, c_busy)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9097, 3154, 12969])).
% 1.67/1.85 tff(12973,plain,
% 1.67/1.85 (m_main_v_state(s96, c_ready)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9240, 19, 12972])).
% 1.67/1.85 tff(12974,plain,
% 1.67/1.85 (~m_main_v_request(s96)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9234, 12973, 12971])).
% 1.67/1.85 tff(12975,plain,
% 1.67/1.85 (~node4(s96)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9225, 3141, 12974])).
% 1.67/1.85 tff(12976,plain,
% 1.67/1.85 (always3(s98)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[466, 12970])).
% 1.67/1.85 tff(12977,plain,
% 1.67/1.85 (~m_main_v_state(s98, c_busy)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9173, 3154, 12976])).
% 1.67/1.85 tff(12978,plain,
% 1.67/1.85 (m_main_v_state(s97, c_ready)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9205, 19, 12971])).
% 1.67/1.85 tff(12979,plain,
% 1.67/1.85 (~m_main_v_request(s97)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9214, 12978, 12977])).
% 1.67/1.85 tff(12980,plain,
% 1.67/1.85 (~node4(s97)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9218, 3141, 12979])).
% 1.67/1.85 tff(12981,plain,
% 1.67/1.85 (m_main_v_state(s98, c_ready)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12041, 12977])).
% 1.67/1.85 tff(12982,plain,
% 1.67/1.85 (~m_main_v_request(s98)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12043, 12981])).
% 1.67/1.85 tff(12983,plain,
% 1.67/1.85 (~node4(s98)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9157, 3141, 12982])).
% 1.67/1.85 tff(12984,plain,
% 1.67/1.85 (node4(s98) | (~until2p7(s98))),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[3074, 3051, 8443])).
% 1.67/1.85 tff(12985,plain,
% 1.67/1.85 (~until2p7(s98)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12984, 12983])).
% 1.67/1.85 tff(12986,plain,
% 1.67/1.85 (~xuntil2p8(s97)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[3090, 12985])).
% 1.67/1.85 tff(12987,plain,
% 1.67/1.85 (~until2p7(s97)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[3094, 3051, 12986, 12980])).
% 1.67/1.85 tff(12988,plain,
% 1.67/1.85 (~xuntil2p8(s96)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[3099, 12987])).
% 1.67/1.85 tff(12989,plain,
% 1.67/1.85 (~until2p7(s96)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[3104, 3051, 12988, 12975])).
% 1.67/1.85 tff(12990,plain,
% 1.67/1.85 (~xuntil2p8(s95)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[3110, 12989])).
% 1.67/1.85 tff(12991,plain,
% 1.67/1.85 (~m_main_v_state(s95, c_busy)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9089, 3154, 12968])).
% 1.67/1.85 tff(12992,plain,
% 1.67/1.85 (m_main_v_state(s95, c_ready)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9117, 19, 12991])).
% 1.67/1.85 tff(12993,plain,
% 1.67/1.85 (~m_main_v_request(s95)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9113, 12992, 12972])).
% 1.67/1.85 tff(12994,plain,
% 1.67/1.85 (~node4(s95)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9104, 3141, 12993])).
% 1.67/1.85 tff(12995,plain,
% 1.67/1.85 (xuntil2p8(s95) | (~until2p7(s95))),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[3115, 3051, 12994])).
% 1.67/1.85 tff(12996,plain,
% 1.67/1.85 (~until2p7(s95)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12995, 12990])).
% 1.67/1.85 tff(12997,plain,
% 1.67/1.85 (~xuntil2p8(s94)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[3121, 12996])).
% 1.67/1.85 tff(12998,plain,
% 1.67/1.85 (~m_main_v_state(s94, c_busy)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[3160, 3154, 12967])).
% 1.67/1.85 tff(12999,plain,
% 1.67/1.85 (m_main_v_state(s94, c_ready)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9142, 19, 12998])).
% 1.67/1.85 tff(13000,plain,
% 1.67/1.85 (~m_main_v_request(s94)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9138, 12999, 12991])).
% 1.67/1.85 tff(13001,plain,
% 1.67/1.85 (~node4(s94)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[9129, 3141, 13000])).
% 1.67/1.85 tff(13002,plain,
% 1.67/1.85 (xuntil2p8(s94) | (~until2p7(s94))),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[3126, 3051, 13001])).
% 1.67/1.85 tff(13003,plain,
% 1.67/1.85 (~until2p7(s94)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[13002, 12997])).
% 1.67/1.85 tff(13004,plain,
% 1.67/1.85 (~xuntil2p8(s93)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[3132, 13003])).
% 1.67/1.85 tff(13005,plain,
% 1.67/1.85 (~until2p7(s93)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[3196, 13004])).
% 1.67/1.85 tff(13006,plain,
% 1.67/1.85 (~xuntil2p8(s92)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[3201, 13005])).
% 1.67/1.85 tff(13007,plain,
% 1.67/1.85 (~m_main_v_state(s93, c_busy)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[3186, 3154, 12966])).
% 1.67/1.85 tff(13008,plain,
% 1.67/1.85 (~m_main_v_state(s92, c_busy)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10332, 3154, 12965])).
% 1.67/1.85 tff(13009,plain,
% 1.67/1.85 (m_main_v_state(s92, c_ready)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[12335, 13008])).
% 1.67/1.85 tff(13010,plain,
% 1.67/1.85 (~m_main_v_request(s92)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10649, 13009, 13007])).
% 1.67/1.85 tff(13011,plain,
% 1.67/1.85 (~node4(s92)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[10653, 3141, 13010])).
% 1.67/1.85 tff(13012,plain,
% 1.67/1.85 (xuntil2p8(s92) | (~until2p7(s92))),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[3206, 3051, 13011])).
% 1.67/1.85 tff(13013,plain,
% 1.67/1.85 (~until2p7(s92)),
% 1.67/1.85 inference(unit_resolution,[status(thm)],[13012, 13006])).
% 1.67/1.86 tff(13014,plain,
% 1.67/1.86 (~xuntil2p8(s91)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3212, 13013])).
% 1.67/1.86 tff(13015,plain,
% 1.67/1.86 (~node4(s91)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10361, 13008])).
% 1.67/1.86 tff(13016,plain,
% 1.67/1.86 (xuntil2p8(s91) | (~until2p7(s91))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3218, 3051, 13015])).
% 1.67/1.86 tff(13017,plain,
% 1.67/1.86 (~until2p7(s91)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13016, 13014])).
% 1.67/1.86 tff(13018,plain,
% 1.67/1.86 (~xuntil2p8(s90)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3224, 13017])).
% 1.67/1.86 tff(13019,plain,
% 1.67/1.86 (~m_main_v_state(s91, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10355, 3154, 12964])).
% 1.67/1.86 tff(13020,plain,
% 1.67/1.86 (~m_main_v_state(s90, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10582, 3154, 12963])).
% 1.67/1.86 tff(13021,plain,
% 1.67/1.86 (m_main_v_state(s90, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10588, 19, 13020])).
% 1.67/1.86 tff(13022,plain,
% 1.67/1.86 (~m_main_v_request(s90)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10597, 13021, 13019])).
% 1.67/1.86 tff(13023,plain,
% 1.67/1.86 (~node4(s90)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10601, 3141, 13022])).
% 1.67/1.86 tff(13024,plain,
% 1.67/1.86 (xuntil2p8(s90) | (~until2p7(s90))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3230, 3051, 13023])).
% 1.67/1.86 tff(13025,plain,
% 1.67/1.86 (~until2p7(s90)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13024, 13018])).
% 1.67/1.86 tff(13026,plain,
% 1.67/1.86 (~xuntil2p8(s89)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3236, 13025])).
% 1.67/1.86 tff(13027,plain,
% 1.67/1.86 (~m_main_v_state(s89, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10625, 3154, 12962])).
% 1.67/1.86 tff(13028,plain,
% 1.67/1.86 (m_main_v_state(s89, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12307, 13027])).
% 1.67/1.86 tff(13029,plain,
% 1.67/1.86 (~m_main_v_request(s89)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10617, 13028, 13020])).
% 1.67/1.86 tff(13030,plain,
% 1.67/1.86 (~node4(s89)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10608, 3141, 13029])).
% 1.67/1.86 tff(13031,plain,
% 1.67/1.86 (xuntil2p8(s89) | (~until2p7(s89))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3242, 3051, 13030])).
% 1.67/1.86 tff(13032,plain,
% 1.67/1.86 (~until2p7(s89)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13031, 13026])).
% 1.67/1.86 tff(13033,plain,
% 1.67/1.86 (~xuntil2p8(s88)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3248, 13032])).
% 1.67/1.86 tff(13034,plain,
% 1.67/1.86 (~m_main_v_state(s88, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11345, 3154, 12961])).
% 1.67/1.86 tff(13035,plain,
% 1.67/1.86 (m_main_v_state(s88, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12280, 13034])).
% 1.67/1.86 tff(13036,plain,
% 1.67/1.86 (~m_main_v_request(s88)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11401, 13035, 13027])).
% 1.67/1.86 tff(13037,plain,
% 1.67/1.86 (~node4(s88)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11405, 3141, 13036])).
% 1.67/1.86 tff(13038,plain,
% 1.67/1.86 (xuntil2p8(s88) | (~until2p7(s88))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3254, 3051, 13037])).
% 1.67/1.86 tff(13039,plain,
% 1.67/1.86 (~until2p7(s88)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13038, 13033])).
% 1.67/1.86 tff(13040,plain,
% 1.67/1.86 (~xuntil2p8(s87)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3260, 13039])).
% 1.67/1.86 tff(13041,plain,
% 1.67/1.86 (~m_main_v_state(s87, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11337, 3154, 12960])).
% 1.67/1.86 tff(13042,plain,
% 1.67/1.86 (m_main_v_state(s87, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11349, 19, 13041])).
% 1.67/1.86 tff(13043,plain,
% 1.67/1.86 (~m_main_v_request(s87)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11358, 13042, 13034])).
% 1.67/1.86 tff(13044,plain,
% 1.67/1.86 (~node4(s87)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11362, 3141, 13043])).
% 1.67/1.86 tff(13045,plain,
% 1.67/1.86 (xuntil2p8(s87) | (~until2p7(s87))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3266, 3051, 13044])).
% 1.67/1.86 tff(13046,plain,
% 1.67/1.86 (~until2p7(s87)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13045, 13040])).
% 1.67/1.86 tff(13047,plain,
% 1.67/1.86 (~xuntil2p8(s86)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3272, 13046])).
% 1.67/1.86 tff(13048,plain,
% 1.67/1.86 (~m_main_v_state(s86, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11264, 3154, 12959])).
% 1.67/1.86 tff(13049,plain,
% 1.67/1.86 (~node1(s85)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12253, 13048])).
% 1.67/1.86 tff(13050,plain,
% 1.67/1.86 (m_main_v_state(s86, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12261, 13049, 13048])).
% 1.67/1.86 tff(13051,plain,
% 1.67/1.86 (~m_main_v_request(s86)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11378, 13050, 13041])).
% 1.67/1.86 tff(13052,plain,
% 1.67/1.86 (~node4(s86)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11369, 3141, 13051])).
% 1.67/1.86 tff(13053,plain,
% 1.67/1.86 (xuntil2p8(s86) | (~until2p7(s86))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3278, 3051, 13052])).
% 1.67/1.86 tff(13054,plain,
% 1.67/1.86 (~until2p7(s86)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13053, 13047])).
% 1.67/1.86 tff(13055,plain,
% 1.67/1.86 (~xuntil2p8(s85)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3284, 13054])).
% 1.67/1.86 tff(13056,plain,
% 1.67/1.86 (~m_main_v_state(s85, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11256, 3154, 12958])).
% 1.67/1.86 tff(13057,plain,
% 1.67/1.86 (m_main_v_state(s85, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11268, 19, 13056])).
% 1.67/1.86 tff(13058,plain,
% 1.67/1.86 (~m_main_v_request(s85)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11277, 13057, 13048])).
% 1.67/1.86 tff(13059,plain,
% 1.67/1.86 (~node4(s85)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11281, 3141, 13058])).
% 1.67/1.86 tff(13060,plain,
% 1.67/1.86 (xuntil2p8(s85) | (~until2p7(s85))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3290, 3051, 13059])).
% 1.67/1.86 tff(13061,plain,
% 1.67/1.86 (~until2p7(s85)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13060, 13055])).
% 1.67/1.86 tff(13062,plain,
% 1.67/1.86 (~xuntil2p8(s84)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3296, 13061])).
% 1.67/1.86 tff(13063,plain,
% 1.67/1.86 (~m_main_v_state(s84, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11322, 3154, 12957])).
% 1.67/1.86 tff(13064,plain,
% 1.67/1.86 (m_main_v_state(s84, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11326, 19, 13063])).
% 1.67/1.86 tff(13065,plain,
% 1.67/1.86 (~m_main_v_request(s84)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11299, 13064, 13056])).
% 1.67/1.86 tff(13066,plain,
% 1.67/1.86 (~node4(s84)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11290, 3141, 13065])).
% 1.67/1.86 tff(13067,plain,
% 1.67/1.86 (xuntil2p8(s84) | (~until2p7(s84))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3302, 3051, 13066])).
% 1.67/1.86 tff(13068,plain,
% 1.67/1.86 (~until2p7(s84)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13067, 13062])).
% 1.67/1.86 tff(13069,plain,
% 1.67/1.86 (~xuntil2p8(s83)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3308, 13068])).
% 1.67/1.86 tff(13070,plain,
% 1.67/1.86 (~node4(s83)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11669, 13063])).
% 1.67/1.86 tff(13071,plain,
% 1.67/1.86 (xuntil2p8(s83) | (~until2p7(s83))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3314, 3051, 13070])).
% 1.67/1.86 tff(13072,plain,
% 1.67/1.86 (~until2p7(s83)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13071, 13069])).
% 1.67/1.86 tff(13073,plain,
% 1.67/1.86 (~xuntil2p8(s82)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3320, 13072])).
% 1.67/1.86 tff(13074,plain,
% 1.67/1.86 (~until2p7(s82)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12640, 13073])).
% 1.67/1.86 tff(13075,plain,
% 1.67/1.86 (~xuntil2p8(s81)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3332, 13074])).
% 1.67/1.86 tff(13076,plain,
% 1.67/1.86 (~m_main_v_state(s82, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11236, 3154, 12955])).
% 1.67/1.86 tff(13077,plain,
% 1.67/1.86 (~m_main_v_state(s81, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11885, 3154, 12954])).
% 1.67/1.86 tff(13078,plain,
% 1.67/1.86 (m_main_v_state(s81, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11891, 19, 13077])).
% 1.67/1.86 tff(13079,plain,
% 1.67/1.86 (~m_main_v_request(s81)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11900, 13078, 13076])).
% 1.67/1.86 tff(13080,plain,
% 1.67/1.86 (~node4(s81)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11904, 3141, 13079])).
% 1.67/1.86 tff(13081,plain,
% 1.67/1.86 (xuntil2p8(s81) | (~until2p7(s81))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3338, 3051, 13080])).
% 1.67/1.86 tff(13082,plain,
% 1.67/1.86 (~until2p7(s81)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13081, 13075])).
% 1.67/1.86 tff(13083,plain,
% 1.67/1.86 (~xuntil2p8(s80)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3344, 13082])).
% 1.67/1.86 tff(13084,plain,
% 1.67/1.86 (~m_main_v_state(s80, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11958, 3154, 12804])).
% 1.67/1.86 tff(13085,plain,
% 1.67/1.86 (m_main_v_state(s80, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11962, 19, 13084])).
% 1.67/1.86 tff(13086,plain,
% 1.67/1.86 (~m_main_v_request(s80)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11922, 13085, 13077])).
% 1.67/1.86 tff(13087,plain,
% 1.67/1.86 (~node4(s80)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11913, 3141, 13086])).
% 1.67/1.86 tff(13088,plain,
% 1.67/1.86 (xuntil2p8(s80) | (~until2p7(s80))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3350, 3051, 13087])).
% 1.67/1.86 tff(13089,plain,
% 1.67/1.86 (~until2p7(s80)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13088, 13083])).
% 1.67/1.86 tff(13090,plain,
% 1.67/1.86 (~xuntil2p8(s79)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3356, 13089])).
% 1.67/1.86 tff(13091,plain,
% 1.67/1.86 (m_main_v_state(s79, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11988, 19, 12953])).
% 1.67/1.86 tff(13092,plain,
% 1.67/1.86 (~m_main_v_request(s79)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11997, 13091, 13084])).
% 1.67/1.86 tff(13093,plain,
% 1.67/1.86 (~node4(s79)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12001, 3141, 13092])).
% 1.67/1.86 tff(13094,plain,
% 1.67/1.86 (xuntil2p8(s79) | (~until2p7(s79))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3362, 3051, 13093])).
% 1.67/1.86 tff(13095,plain,
% 1.67/1.86 (~until2p7(s79)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13094, 13090])).
% 1.67/1.86 tff(13096,plain,
% 1.67/1.86 (~trans(s99, s79)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[5484, 13095, 4303])).
% 1.67/1.86 tff(13097,plain,
% 1.67/1.86 (~trans(s99, s99)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[4932, 8442, 4303])).
% 1.67/1.86 tff(13098,plain,
% 1.67/1.86 (~xuntil2p8(s78)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3368, 13095])).
% 1.67/1.86 tff(13099,assumption,(~m_main_v_state(s79, c_busy)), introduced(assumption)).
% 1.67/1.86 tff(13100,plain,
% 1.67/1.86 (always3(s77)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10694, 4715])).
% 1.67/1.86 tff(13101,plain,
% 1.67/1.86 (always3(s78)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1001, 13100])).
% 1.67/1.86 tff(13102,plain,
% 1.67/1.86 (~m_main_v_state(s78, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[8938, 3154, 13101])).
% 1.67/1.86 tff(13103,plain,
% 1.67/1.86 (m_main_v_state(s78, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12023, 19, 13102])).
% 1.67/1.86 tff(13104,plain,
% 1.67/1.86 (~m_main_v_request(s78)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12017, 13103, 13099])).
% 1.67/1.86 tff(13105,plain,
% 1.67/1.86 (~node4(s78)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12008, 3141, 13104])).
% 1.67/1.86 tff(13106,assumption,(~xuntil2p8(s78)), introduced(assumption)).
% 1.67/1.86 tff(13107,plain,
% 1.67/1.86 (node4(s78) | (~until2p7(s78))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3374, 3051, 13106])).
% 1.67/1.86 tff(13108,plain,
% 1.67/1.86 (~until2p7(s78)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13107, 13105])).
% 1.67/1.86 tff(13109,plain,
% 1.67/1.86 (~xuntil2p8(s77)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3380, 13108])).
% 1.67/1.86 tff(13110,plain,
% 1.67/1.86 (until2p7(s77)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[4723, 4715, 4303])).
% 1.67/1.86 tff(13111,plain,
% 1.67/1.86 (node4(s77) | xuntil2p8(s77)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3386, 3051, 13110])).
% 1.67/1.86 tff(13112,plain,
% 1.67/1.86 (node4(s77)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13111, 13109])).
% 1.67/1.86 tff(13113,plain,
% 1.67/1.86 (~m_main_v_state(s77, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[8961, 3154, 13100])).
% 1.67/1.86 tff(13114,plain,
% 1.67/1.86 (m_main_v_state(s77, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[8965, 19, 13113])).
% 1.67/1.86 tff(13115,plain,
% 1.67/1.86 (~m_main_v_request(s77)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[8954, 13114, 13102])).
% 1.67/1.86 tff(13116,plain,
% 1.67/1.86 ($false),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[8945, 3141, 13115, 13112])).
% 1.67/1.86 tff(13117,plain,((~trans(s99, s77)) | xuntil2p8(s78) | m_main_v_state(s79, c_busy) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.86 tff(13118,plain,
% 1.67/1.86 (~trans(s99, s77)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13117, 13098, 12953, 4303])).
% 1.67/1.86 tff(13119,plain,
% 1.67/1.86 (trans(s99, s78)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12791, 13118, 8428, 4303, 8425, 8429, 8424, 13097, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 12977, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 13096, 10889, 8277, 8276, 8275, 8274, 10903, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 8443])).
% 1.67/1.86 tff(13120,plain,
% 1.67/1.86 (until2p7(s78)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[5374, 13119, 4303])).
% 1.67/1.86 tff(13121,plain,
% 1.67/1.86 (node4(s78) | (~until2p7(s78))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3374, 3051, 13098])).
% 1.67/1.86 tff(13122,plain,
% 1.67/1.86 (node4(s78)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13121, 13120])).
% 1.67/1.86 tff(13123,plain,
% 1.67/1.86 (m_main_v_request(s78)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12008, 3141, 13122])).
% 1.67/1.86 tff(13124,plain,
% 1.67/1.86 (~m_main_v_state(s78, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12017, 13123, 12953])).
% 1.67/1.86 tff(13125,plain,
% 1.67/1.86 (always3(s78)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10843, 13119])).
% 1.67/1.86 tff(13126,plain,
% 1.67/1.86 (~m_main_v_state(s78, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[8938, 3154, 13125])).
% 1.67/1.86 tff(13127,plain,
% 1.67/1.86 ($false),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12023, 19, 13126, 13124])).
% 1.67/1.86 tff(13128,plain,(node4(s99) | (~xuntil6(s99)) | trans(s99, s9) | trans(s99, s33) | trans(s99, s46) | trans(s99, s6) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | (~until5(s75)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.86 tff(13129,plain,
% 1.67/1.86 (node4(s99)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13128, 12952, 8872, 8871, 8870, 8869, 8868, 8867, 8856, 8845, 8844, 8843, 8832, 8831, 8830, 8829, 8828, 8827, 8826, 8825, 8824, 8823, 8822, 8821, 8820, 8819, 8818, 8817, 8806, 8795, 8794, 8793, 8790, 8789, 8788, 8777, 8776, 8765, 8764, 8753, 8752, 8751, 8750, 8740, 8739, 8738, 8737, 8736, 8735, 8734, 8723, 8722, 8721, 8720, 8719, 8718, 8717, 8716, 8715, 8704, 8703, 8702, 8701, 8700, 8690, 8689, 8688, 8674, 8673, 8662, 8661, 8650, 8649, 8648, 8647, 8646, 8645, 8644, 8643, 8623, 8497])).
% 1.67/1.86 tff(13130,plain,
% 1.67/1.86 (m_main_v_request(s99)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11422, 13129])).
% 1.67/1.86 tff(13131,plain,
% 1.67/1.86 (node2(s99, s94)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10761, 5590])).
% 1.67/1.86 tff(13132,plain,
% 1.67/1.86 (m_main_v_state(s94, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10757, 13131, 9290])).
% 1.67/1.86 tff(13133,plain,
% 1.67/1.86 ($false),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3160, 3154, 12078, 13132])).
% 1.67/1.86 tff(13134,plain,((~trans(s99, s94)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.86 tff(13135,plain,
% 1.67/1.86 (~trans(s99, s94)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13134, 13130])).
% 1.67/1.86 tff(13136,plain,
% 1.67/1.86 (node2(s99, s98)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10832, 10087])).
% 1.67/1.86 tff(13137,plain,
% 1.67/1.86 (m_main_v_state(s98, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10828, 13136, 9290])).
% 1.67/1.86 tff(13138,plain,
% 1.67/1.86 ($false),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9173, 3154, 12120, 13137])).
% 1.67/1.86 tff(13139,plain,((~trans(s99, s98)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.86 tff(13140,plain,
% 1.67/1.86 (~trans(s99, s98)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13139, 13130])).
% 1.67/1.86 tff(13141,plain,
% 1.67/1.86 (node2(s99, s83)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12856, 5564, 7])).
% 1.67/1.86 tff(13142,plain,
% 1.67/1.86 (~m_main_v_state(s83, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11220, 3154, 12217])).
% 1.67/1.86 tff(13143,plain,
% 1.67/1.86 ($false),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12852, 13142, 13141, 9290])).
% 1.67/1.86 tff(13144,plain,((~trans(s99, s83)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.86 tff(13145,plain,
% 1.67/1.86 (~trans(s99, s83)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13144, 13130])).
% 1.67/1.86 tff(13146,plain,
% 1.67/1.86 (node2(s99, s88)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12861, 4316])).
% 1.67/1.86 tff(13147,plain,
% 1.67/1.86 (m_main_v_state(s88, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11578, 13146, 9290])).
% 1.67/1.86 tff(13148,plain,
% 1.67/1.86 ($false),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11345, 3154, 12356, 13147])).
% 1.67/1.86 tff(13149,plain,((~trans(s99, s88)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.86 tff(13150,plain,
% 1.67/1.86 (~trans(s99, s88)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13149, 13130])).
% 1.67/1.86 tff(13151,plain,
% 1.67/1.86 (node2(s99, s93)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10878, 5612])).
% 1.67/1.86 tff(13152,plain,
% 1.67/1.86 ($false),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10874, 13151, 12196, 9290])).
% 1.67/1.86 tff(13153,plain,((~trans(s99, s93)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.86 tff(13154,plain,
% 1.67/1.86 (~trans(s99, s93)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13153, 9290])).
% 1.67/1.86 tff(13155,plain,
% 1.67/1.86 (~trans(s99, s95)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10768, 9290])).
% 1.67/1.86 tff(13156,plain,
% 1.67/1.86 (~trans(s99, s97)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10766, 9290])).
% 1.67/1.86 tff(13157,plain,
% 1.67/1.86 (~trans(s99, s78)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12824, 9290])).
% 1.67/1.86 tff(13158,plain,
% 1.67/1.86 (~trans(s99, s79)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12917, 9290])).
% 1.67/1.86 tff(13159,plain,
% 1.67/1.86 (~node2(s99, s99)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10789, 9290])).
% 1.67/1.86 tff(13160,plain,
% 1.67/1.86 (~trans(s99, s99)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10302, 13159])).
% 1.67/1.86 tff(13161,plain,
% 1.67/1.86 (always3(s96)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12167, 10896, 13160, 13156, 13155, 8425, 8429, 8424, 9500, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 13158, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8428, 8299, 8298, 8297, 13157, 8296, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227])).
% 1.67/1.86 tff(13162,plain,
% 1.67/1.86 (~m_main_v_state(s96, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9097, 3154, 13161])).
% 1.67/1.86 tff(13163,plain,
% 1.67/1.86 (~node2(s99, s96)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10868, 13162, 9290])).
% 1.67/1.86 tff(13164,plain,
% 1.67/1.86 (~trans(s99, s96)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10872, 13163])).
% 1.67/1.86 tff(13165,plain,
% 1.67/1.86 (~trans(s99, s83)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10865, 9377])).
% 1.67/1.86 tff(13166,plain,
% 1.67/1.86 (always3(s92)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12425, 10904, 13165, 9500, 8425, 13160, 8429, 10880, 8424, 13158, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 13157, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10896, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 13164, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8428, 13156, 8299, 8298, 8297, 13155, 8296, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227])).
% 1.67/1.86 tff(13167,plain,
% 1.67/1.86 (~m_main_v_state(s92, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10332, 3154, 13166])).
% 1.67/1.86 tff(13168,plain,
% 1.67/1.86 (~node2(s99, s92)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10779, 13167, 9290])).
% 1.67/1.86 tff(13169,plain,
% 1.67/1.86 (~trans(s99, s92)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10786, 13168])).
% 1.67/1.86 tff(13170,plain,
% 1.67/1.86 (~trans(s99, s80)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12892, 9290])).
% 1.67/1.86 tff(13171,plain,
% 1.67/1.86 (~trans(s99, s86)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11437, 9290])).
% 1.67/1.86 tff(13172,plain,
% 1.67/1.86 (~trans(s99, s81)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12840, 9290])).
% 1.67/1.86 tff(13173,plain,
% 1.67/1.86 (~trans(s99, s87)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11566, 9290])).
% 1.67/1.86 tff(13174,plain,
% 1.67/1.86 (~trans(s99, s82)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12877, 9290])).
% 1.67/1.86 tff(13175,plain,
% 1.67/1.86 (node2(s99, s89)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10955, 4836, 7])).
% 1.67/1.86 tff(13176,plain,
% 1.67/1.86 (always3(s89)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10907, 4836])).
% 1.67/1.86 tff(13177,plain,
% 1.67/1.86 (~m_main_v_state(s89, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10625, 3154, 13176])).
% 1.67/1.86 tff(13178,plain,
% 1.67/1.86 ($false),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11446, 13177, 13175, 9290])).
% 1.67/1.86 tff(13179,plain,((~trans(s99, s89)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.86 tff(13180,plain,
% 1.67/1.86 (~trans(s99, s89)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13179, 9290])).
% 1.67/1.86 tff(13181,plain,
% 1.67/1.86 (always3(s91)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12423, 13169, 13160, 13170, 9500, 8425, 10896, 8429, 10880, 8424, 13158, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 13157, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 13164, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 10904, 9503, 9502, 9501, 8302, 8301, 9499, 13172, 8300, 13173, 8428, 13156, 8299, 8298, 8297, 13155, 8296, 13174, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 13165, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 13171, 8227])).
% 1.67/1.86 tff(13182,plain,
% 1.67/1.86 (~m_main_v_state(s91, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10355, 3154, 13181])).
% 1.67/1.86 tff(13183,plain,
% 1.67/1.86 (~node2(s99, s91)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10924, 13182, 9290])).
% 1.67/1.86 tff(13184,plain,
% 1.67/1.86 (~trans(s99, s91)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11588, 13183])).
% 1.67/1.86 tff(13185,plain,
% 1.67/1.86 (trans(s99, s90)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11601, 13184, 8428, 13160, 13180, 9500, 8425, 13174, 8429, 10896, 8424, 13158, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 13157, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10904, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 13164, 9503, 9502, 9501, 8302, 8301, 9499, 13165, 8300, 13173, 10880, 13156, 8299, 8298, 8297, 13155, 8296, 13172, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 10903, 13171, 8273, 13170, 10886, 8272, 10888, 8260, 13169, 10885, 10883, 8229, 8228, 9256, 8227])).
% 1.67/1.86 tff(13186,plain,
% 1.67/1.86 (node2(s99, s90)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11456, 13185])).
% 1.67/1.86 tff(13187,plain,
% 1.67/1.86 (m_main_v_state(s90, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10946, 13186, 9290])).
% 1.67/1.86 tff(13188,plain,
% 1.67/1.86 (always3(s90)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10934, 13184, 13170, 11599, 10903, 9500, 8425, 9520, 8429, 10896, 8424, 13158, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 13157, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 13164, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 13173, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 13172, 9503, 9502, 9501, 8302, 8301, 9499, 13160, 8300, 13171, 10904, 13156, 8299, 8298, 8297, 13155, 8296, 13174, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 8273, 8428, 10888, 13165, 10886, 8272, 10885, 8260, 11598, 8228, 10883, 8229, 13169, 10880, 8227])).
% 1.67/1.86 tff(13189,plain,
% 1.67/1.86 ($false),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10582, 3154, 13188, 13187])).
% 1.67/1.86 tff(13190,plain,(trans(s99, s93) | (~m_main_v_request(s99)) | trans(s99, s74) | trans(s99, s94) | trans(s99, s33) | trans(s99, s52) | trans(s99, s46) | trans(s99, s98) | trans(s99, s6) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s77) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s9) | trans(s99, s61) | trans(s99, s67) | trans(s99, s19) | trans(s99, s54) | trans(s99, s41) | trans(s99, s48) | trans(s99, s58) | trans(s99, s39) | trans(s99, s88) | trans(s99, s15) | always3(s85)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.86 tff(13191,plain,
% 1.67/1.86 (always3(s85)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13190, 10896, 10903, 13154, 8425, 9520, 8429, 9290, 8424, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 10890, 10889, 8277, 8276, 8275, 8274, 8273, 8428, 10888, 10886, 8272, 10885, 8260, 8228, 10883, 8229, 10880, 8227, 9500])).
% 1.67/1.86 tff(13192,plain,
% 1.67/1.86 (always3(s86)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[769, 13191])).
% 1.67/1.86 tff(13193,plain,
% 1.67/1.86 (always3(s87)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[731, 13192])).
% 1.67/1.86 tff(13194,plain,
% 1.67/1.86 (always3(s88)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[587, 13193])).
% 1.67/1.86 tff(13195,plain,
% 1.67/1.86 (always3(s89)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[575, 13194])).
% 1.67/1.86 tff(13196,plain,
% 1.67/1.86 (always3(s90)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[563, 13195])).
% 1.67/1.86 tff(13197,plain,
% 1.67/1.86 (always3(s91)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[551, 13196])).
% 1.67/1.86 tff(13198,plain,
% 1.67/1.86 (~m_main_v_state(s91, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10355, 3154, 13197])).
% 1.67/1.86 tff(13199,plain,
% 1.67/1.86 (~m_main_v_state(s90, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10582, 3154, 13196])).
% 1.67/1.86 tff(13200,plain,
% 1.67/1.86 (~m_main_v_state(s89, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10625, 3154, 13195])).
% 1.67/1.86 tff(13201,plain,
% 1.67/1.86 (always3(s92)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[539, 13197])).
% 1.67/1.86 tff(13202,plain,
% 1.67/1.86 (~m_main_v_state(s92, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10332, 3154, 13201])).
% 1.67/1.86 tff(13203,plain,
% 1.67/1.86 (~node2(s99, s92)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10779, 13202, 9290])).
% 1.67/1.86 tff(13204,plain,
% 1.67/1.86 (~trans(s99, s92)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10786, 13203])).
% 1.67/1.86 tff(13205,plain,
% 1.67/1.86 (~m_main_v_state(s85, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11256, 3154, 13191])).
% 1.67/1.86 tff(13206,plain,
% 1.67/1.86 (m_main_v_state(s84, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12936, 9521, 13158, 9290, 13160, 10890, 8425, 9500, 8429, 10896, 8424, 13170, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 13174, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 13173, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 10880, 9503, 9502, 9501, 8302, 8301, 9499, 13205, 8300, 13172, 13171, 13156, 8299, 8298, 8297, 13155, 8296, 8428, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 13157, 10889, 8277, 8276, 8275, 8274, 10903, 13154, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 13164, 13204, 13200, 13199, 13198])).
% 1.67/1.86 tff(13207,plain,
% 1.67/1.86 (~node2(s99, s85)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11613, 13205, 9290])).
% 1.67/1.86 tff(13208,plain,
% 1.67/1.86 (~trans(s99, s85)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12923, 13207])).
% 1.67/1.86 tff(13209,plain,
% 1.67/1.86 (~node2(s99, s91)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10924, 13198, 9290])).
% 1.67/1.86 tff(13210,plain,
% 1.67/1.86 (~trans(s99, s91)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11588, 13209])).
% 1.67/1.86 tff(13211,plain,
% 1.67/1.86 (~node2(s99, s90)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10946, 13199, 9290])).
% 1.67/1.86 tff(13212,plain,
% 1.67/1.86 (~trans(s99, s90)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11456, 13211])).
% 1.67/1.86 tff(13213,plain,
% 1.67/1.86 (trans(s99, s84)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10910, 9521, 8428, 13157, 13160, 13180, 10890, 8425, 9500, 8429, 10896, 8424, 13164, 8427, 10899, 10898, 8426, 10897, 9519, 8423, 8422, 8421, 13174, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9510, 8358, 8357, 8356, 8355, 8354, 13173, 10895, 8353, 9398, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 10880, 9503, 9502, 9501, 8302, 8301, 9499, 13212, 8300, 13172, 13171, 13156, 8299, 8298, 8297, 13155, 8296, 13170, 8295, 8294, 10892, 10891, 8281, 8280, 8279, 8278, 13158, 10889, 8277, 8276, 8275, 8274, 10903, 13154, 8273, 13210, 10886, 8272, 10888, 8260, 13204, 10885, 10883, 8229, 8228, 13208, 8227])).
% 1.67/1.86 tff(13214,plain,
% 1.67/1.86 (always3(s84)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10665, 13213])).
% 1.67/1.86 tff(13215,plain,
% 1.67/1.86 ($false),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11322, 3154, 13214, 13206])).
% 1.67/1.86 tff(13216,plain,(trans(s99, s83) | trans(s99, s9) | trans(s99, s77) | trans(s99, s33) | trans(s99, s94) | trans(s99, s46) | trans(s99, s98) | trans(s99, s6) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s88) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.86 tff(13217,plain,
% 1.67/1.86 (trans(s99, s77)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13216, 13150, 13145, 8871, 13140, 8870, 8872, 8869, 8868, 8867, 8856, 8845, 8844, 8843, 8832, 8831, 8830, 8829, 8828, 8827, 8826, 8825, 8824, 8823, 8822, 8821, 8820, 8819, 8818, 8817, 8806, 8795, 8794, 8793, 8790, 8789, 8788, 8777, 8776, 8765, 8764, 8753, 8752, 8751, 8750, 8740, 13135, 8739, 8738, 8737, 8736, 8735, 8734, 8723, 8722, 8721, 8720, 8719, 8718, 8717, 8716, 8715, 8704, 8703, 8702, 8701, 8700, 8690, 8689, 8688, 8674, 8673, 8662, 8661, 8650, 8649, 8648, 8647, 8646, 8645, 8644, 8643, 13130])).
% 1.67/1.86 tff(13218,plain,
% 1.67/1.86 (node2(s99, s77)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12940, 13217, 7])).
% 1.67/1.86 tff(13219,plain,
% 1.67/1.86 (always3(s77)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10694, 13217])).
% 1.67/1.86 tff(13220,plain,
% 1.67/1.86 (~m_main_v_state(s77, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[8961, 3154, 13219])).
% 1.67/1.86 tff(13221,plain,
% 1.67/1.86 ($false),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12949, 3175, 13220, 10756, 13130, 13218])).
% 1.67/1.86 tff(13222,plain,(always3(s76)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.86 tff(13223,plain,
% 1.67/1.86 (always3(s77)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1030, 13222])).
% 1.67/1.86 tff(13224,plain,
% 1.67/1.86 (always3(s78)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1001, 13223])).
% 1.67/1.86 tff(13225,plain,
% 1.67/1.86 (always3(s79)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[972, 13224])).
% 1.67/1.86 tff(13226,plain,
% 1.67/1.86 (always3(s80)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[943, 13225])).
% 1.67/1.86 tff(13227,plain,
% 1.67/1.86 (always3(s81)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[914, 13226])).
% 1.67/1.86 tff(13228,plain,
% 1.67/1.86 (always3(s82)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[885, 13227])).
% 1.67/1.86 tff(13229,plain,
% 1.67/1.86 (always3(s83)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[856, 13228])).
% 1.67/1.86 tff(13230,plain,
% 1.67/1.86 (always3(s84)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[827, 13229])).
% 1.67/1.86 tff(13231,plain,
% 1.67/1.86 (always3(s85)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[798, 13230])).
% 1.67/1.86 tff(13232,plain,
% 1.67/1.86 (always3(s86)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[769, 13231])).
% 1.67/1.86 tff(13233,plain,
% 1.67/1.86 (always3(s87)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[731, 13232])).
% 1.67/1.86 tff(13234,plain,
% 1.67/1.86 (always3(s88)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[587, 13233])).
% 1.67/1.86 tff(13235,plain,
% 1.67/1.86 (always3(s89)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[575, 13234])).
% 1.67/1.86 tff(13236,plain,
% 1.67/1.86 (always3(s90)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[563, 13235])).
% 1.67/1.86 tff(13237,plain,
% 1.67/1.86 (always3(s91)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[551, 13236])).
% 1.67/1.86 tff(13238,plain,
% 1.67/1.86 (always3(s92)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[539, 13237])).
% 1.67/1.86 tff(13239,plain,
% 1.67/1.86 (always3(s93)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[526, 13238])).
% 1.67/1.86 tff(13240,plain,
% 1.67/1.86 (always3(s94)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[514, 13239])).
% 1.67/1.86 tff(13241,plain,
% 1.67/1.86 (always3(s95)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[502, 13240])).
% 1.67/1.86 tff(13242,plain,
% 1.67/1.86 (always3(s96)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[490, 13241])).
% 1.67/1.86 tff(13243,plain,
% 1.67/1.86 (always3(s97)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[478, 13242])).
% 1.67/1.86 tff(13244,plain,
% 1.67/1.86 (always3(s98)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[466, 13243])).
% 1.67/1.86 tff(13245,plain,
% 1.67/1.86 (~m_main_v_state(s98, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9173, 3154, 13244])).
% 1.67/1.86 tff(13246,plain,
% 1.67/1.86 (m_main_v_state(s98, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12041, 13245])).
% 1.67/1.86 tff(13247,plain,
% 1.67/1.86 (~m_main_v_request(s98)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12043, 13246])).
% 1.67/1.86 tff(13248,plain,
% 1.67/1.86 (~node4(s98)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9157, 3141, 13247])).
% 1.67/1.86 tff(13249,plain,
% 1.67/1.86 (xuntil2p8(s98) | (~until2p7(s98))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3074, 3051, 13248])).
% 1.67/1.86 tff(13250,plain,
% 1.67/1.86 (~until2p7(s98)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13249, 8443])).
% 1.67/1.86 tff(13251,plain,
% 1.67/1.86 (~xuntil2p8(s97)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3090, 13250])).
% 1.67/1.86 tff(13252,plain,
% 1.67/1.86 (~m_main_v_state(s97, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9200, 3154, 13243])).
% 1.67/1.86 tff(13253,plain,
% 1.67/1.86 (m_main_v_state(s97, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9205, 19, 13252])).
% 1.67/1.86 tff(13254,plain,
% 1.67/1.86 (~m_main_v_request(s97)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9214, 13253, 13245])).
% 1.67/1.86 tff(13255,plain,
% 1.67/1.86 (~node4(s97)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9218, 3141, 13254])).
% 1.67/1.86 tff(13256,plain,
% 1.67/1.86 (xuntil2p8(s97) | (~until2p7(s97))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3094, 3051, 13255])).
% 1.67/1.86 tff(13257,plain,
% 1.67/1.86 (~until2p7(s97)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13256, 13251])).
% 1.67/1.86 tff(13258,plain,
% 1.67/1.86 (~xuntil2p8(s96)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3099, 13257])).
% 1.67/1.86 tff(13259,plain,
% 1.67/1.86 (~m_main_v_state(s96, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9097, 3154, 13242])).
% 1.67/1.86 tff(13260,plain,
% 1.67/1.86 (m_main_v_state(s96, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9240, 19, 13259])).
% 1.67/1.86 tff(13261,plain,
% 1.67/1.86 (~m_main_v_request(s96)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9234, 13260, 13252])).
% 1.67/1.86 tff(13262,plain,
% 1.67/1.86 (~node4(s96)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9225, 3141, 13261])).
% 1.67/1.86 tff(13263,plain,
% 1.67/1.86 (xuntil2p8(s96) | (~until2p7(s96))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3104, 3051, 13262])).
% 1.67/1.86 tff(13264,plain,
% 1.67/1.86 (~until2p7(s96)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13263, 13258])).
% 1.67/1.86 tff(13265,plain,
% 1.67/1.86 (~xuntil2p8(s95)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3110, 13264])).
% 1.67/1.86 tff(13266,plain,
% 1.67/1.86 (~m_main_v_state(s95, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9089, 3154, 13241])).
% 1.67/1.86 tff(13267,plain,
% 1.67/1.86 (m_main_v_state(s95, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9117, 19, 13266])).
% 1.67/1.86 tff(13268,plain,
% 1.67/1.86 (~m_main_v_request(s95)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9113, 13267, 13259])).
% 1.67/1.86 tff(13269,plain,
% 1.67/1.86 (~node4(s95)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9104, 3141, 13268])).
% 1.67/1.86 tff(13270,plain,
% 1.67/1.86 (xuntil2p8(s95) | (~until2p7(s95))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3115, 3051, 13269])).
% 1.67/1.86 tff(13271,plain,
% 1.67/1.86 (~until2p7(s95)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13270, 13265])).
% 1.67/1.86 tff(13272,plain,
% 1.67/1.86 (~xuntil2p8(s94)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3121, 13271])).
% 1.67/1.86 tff(13273,plain,
% 1.67/1.86 (~m_main_v_state(s94, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3160, 3154, 13240])).
% 1.67/1.86 tff(13274,plain,
% 1.67/1.86 (m_main_v_state(s94, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9142, 19, 13273])).
% 1.67/1.86 tff(13275,plain,
% 1.67/1.86 (~m_main_v_request(s94)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9138, 13274, 13266])).
% 1.67/1.86 tff(13276,plain,
% 1.67/1.86 (~node4(s94)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[9129, 3141, 13275])).
% 1.67/1.86 tff(13277,plain,
% 1.67/1.86 (xuntil2p8(s94) | (~until2p7(s94))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3126, 3051, 13276])).
% 1.67/1.86 tff(13278,plain,
% 1.67/1.86 (~until2p7(s94)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13277, 13272])).
% 1.67/1.86 tff(13279,plain,
% 1.67/1.86 (~xuntil2p8(s93)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3132, 13278])).
% 1.67/1.86 tff(13280,plain,
% 1.67/1.86 (~until2p7(s93)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3196, 13279])).
% 1.67/1.86 tff(13281,plain,
% 1.67/1.86 (~xuntil2p8(s92)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3201, 13280])).
% 1.67/1.86 tff(13282,plain,
% 1.67/1.86 (~m_main_v_state(s93, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3186, 3154, 13239])).
% 1.67/1.86 tff(13283,plain,
% 1.67/1.86 (~m_main_v_state(s92, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10332, 3154, 13238])).
% 1.67/1.86 tff(13284,plain,
% 1.67/1.86 (m_main_v_state(s92, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12335, 13283])).
% 1.67/1.86 tff(13285,plain,
% 1.67/1.86 (~m_main_v_request(s92)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10649, 13284, 13282])).
% 1.67/1.86 tff(13286,plain,
% 1.67/1.86 (~node4(s92)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10653, 3141, 13285])).
% 1.67/1.86 tff(13287,plain,
% 1.67/1.86 (xuntil2p8(s92) | (~until2p7(s92))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3206, 3051, 13286])).
% 1.67/1.86 tff(13288,plain,
% 1.67/1.86 (~until2p7(s92)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13287, 13281])).
% 1.67/1.86 tff(13289,plain,
% 1.67/1.86 (~xuntil2p8(s91)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3212, 13288])).
% 1.67/1.86 tff(13290,plain,
% 1.67/1.86 (~node4(s91)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10361, 13283])).
% 1.67/1.86 tff(13291,plain,
% 1.67/1.86 (xuntil2p8(s91) | (~until2p7(s91))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3218, 3051, 13290])).
% 1.67/1.86 tff(13292,plain,
% 1.67/1.86 (~until2p7(s91)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13291, 13289])).
% 1.67/1.86 tff(13293,plain,
% 1.67/1.86 (~xuntil2p8(s90)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3224, 13292])).
% 1.67/1.86 tff(13294,plain,
% 1.67/1.86 (~m_main_v_state(s91, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10355, 3154, 13237])).
% 1.67/1.86 tff(13295,plain,
% 1.67/1.86 (~m_main_v_state(s90, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10582, 3154, 13236])).
% 1.67/1.86 tff(13296,plain,
% 1.67/1.86 (m_main_v_state(s90, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10588, 19, 13295])).
% 1.67/1.86 tff(13297,plain,
% 1.67/1.86 (~m_main_v_request(s90)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10597, 13296, 13294])).
% 1.67/1.86 tff(13298,plain,
% 1.67/1.86 (~node4(s90)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10601, 3141, 13297])).
% 1.67/1.86 tff(13299,plain,
% 1.67/1.86 (xuntil2p8(s90) | (~until2p7(s90))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3230, 3051, 13298])).
% 1.67/1.86 tff(13300,plain,
% 1.67/1.86 (~until2p7(s90)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13299, 13293])).
% 1.67/1.86 tff(13301,plain,
% 1.67/1.86 (~xuntil2p8(s89)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3236, 13300])).
% 1.67/1.86 tff(13302,plain,
% 1.67/1.86 (~m_main_v_state(s89, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10625, 3154, 13235])).
% 1.67/1.86 tff(13303,plain,
% 1.67/1.86 (m_main_v_state(s89, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12307, 13302])).
% 1.67/1.86 tff(13304,plain,
% 1.67/1.86 (~m_main_v_request(s89)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10617, 13295, 13303])).
% 1.67/1.86 tff(13305,plain,
% 1.67/1.86 (~node4(s89)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[10608, 3141, 13304])).
% 1.67/1.86 tff(13306,plain,
% 1.67/1.86 (xuntil2p8(s89) | (~until2p7(s89))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3242, 3051, 13305])).
% 1.67/1.86 tff(13307,plain,
% 1.67/1.86 (~until2p7(s89)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13306, 13301])).
% 1.67/1.86 tff(13308,plain,
% 1.67/1.86 (~xuntil2p8(s88)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3248, 13307])).
% 1.67/1.86 tff(13309,plain,
% 1.67/1.86 (~m_main_v_state(s88, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11345, 3154, 13234])).
% 1.67/1.86 tff(13310,plain,
% 1.67/1.86 (m_main_v_state(s88, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[12280, 13309])).
% 1.67/1.86 tff(13311,plain,
% 1.67/1.86 (~m_main_v_request(s88)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11401, 13310, 13302])).
% 1.67/1.86 tff(13312,plain,
% 1.67/1.86 (~node4(s88)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11405, 3141, 13311])).
% 1.67/1.86 tff(13313,plain,
% 1.67/1.86 (xuntil2p8(s88) | (~until2p7(s88))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3254, 3051, 13312])).
% 1.67/1.86 tff(13314,plain,
% 1.67/1.86 (~until2p7(s88)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13313, 13308])).
% 1.67/1.86 tff(13315,plain,
% 1.67/1.86 (~xuntil2p8(s87)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3260, 13314])).
% 1.67/1.86 tff(13316,plain,
% 1.67/1.86 (~m_main_v_state(s87, c_busy)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11337, 3154, 13233])).
% 1.67/1.86 tff(13317,plain,
% 1.67/1.86 (m_main_v_state(s87, c_ready)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11349, 19, 13316])).
% 1.67/1.86 tff(13318,plain,
% 1.67/1.86 (~m_main_v_request(s87)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11358, 13317, 13309])).
% 1.67/1.86 tff(13319,plain,
% 1.67/1.86 (~node4(s87)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[11362, 3141, 13318])).
% 1.67/1.86 tff(13320,plain,
% 1.67/1.86 (xuntil2p8(s87) | (~until2p7(s87))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[3266, 3051, 13319])).
% 1.67/1.86 tff(13321,plain,
% 1.67/1.86 (~until2p7(s87)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13320, 13315])).
% 1.67/1.86 tff(13322,assumption,(until5(s63)), introduced(assumption)).
% 1.67/1.86 tff(13323,plain,
% 1.67/1.86 (~always3(s62)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1431, 8846])).
% 1.67/1.86 tff(13324,plain,
% 1.67/1.86 (~node4(s62)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2874, 595, 13323])).
% 1.67/1.86 tff(13325,plain,
% 1.67/1.86 (~node4(s63)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1411, 595, 8846])).
% 1.67/1.86 tff(13326,assumption,(~xuntil6(s63)), introduced(assumption)).
% 1.67/1.86 tff(13327,plain,
% 1.67/1.86 (node4(s63) | (~until5(s63))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1418, 614, 13326])).
% 1.67/1.86 tff(13328,plain,
% 1.67/1.86 (~until5(s63)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13327, 13325])).
% 1.67/1.86 tff(13329,plain,
% 1.67/1.86 (~xuntil6(s62)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2887, 13328])).
% 1.67/1.86 tff(13330,plain,
% 1.67/1.86 (~until5(s62)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2881, 614, 13329, 13324])).
% 1.67/1.86 tff(13331,plain,
% 1.67/1.86 (~xuntil6(s61)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2870, 13330])).
% 1.67/1.86 tff(13332,plain,
% 1.67/1.86 (~always3(s61)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1443, 13323])).
% 1.67/1.86 tff(13333,plain,
% 1.67/1.86 (~node4(s61)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2857, 595, 13332])).
% 1.67/1.86 tff(13334,plain,
% 1.67/1.86 (xuntil6(s61) | (~until5(s61))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2864, 614, 13333])).
% 1.67/1.86 tff(13335,plain,
% 1.67/1.86 (~until5(s61)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13334, 13331])).
% 1.67/1.86 tff(13336,plain,
% 1.67/1.86 (~xuntil6(s60)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2853, 13335])).
% 1.67/1.86 tff(13337,plain,
% 1.67/1.86 (~always3(s60)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1455, 13332])).
% 1.67/1.86 tff(13338,plain,
% 1.67/1.86 (~node4(s60)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2840, 595, 13337])).
% 1.67/1.86 tff(13339,plain,
% 1.67/1.86 (xuntil6(s60) | (~until5(s60))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2847, 614, 13338])).
% 1.67/1.86 tff(13340,plain,
% 1.67/1.86 (~until5(s60)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13339, 13336])).
% 1.67/1.86 tff(13341,plain,
% 1.67/1.86 (~xuntil6(s59)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2836, 13340])).
% 1.67/1.86 tff(13342,plain,
% 1.67/1.86 (~always3(s59)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1467, 13337])).
% 1.67/1.86 tff(13343,plain,
% 1.67/1.86 (~node4(s59)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2823, 595, 13342])).
% 1.67/1.86 tff(13344,plain,
% 1.67/1.86 (xuntil6(s59) | (~until5(s59))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2830, 614, 13343])).
% 1.67/1.86 tff(13345,plain,
% 1.67/1.86 (~until5(s59)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13344, 13341])).
% 1.67/1.86 tff(13346,plain,
% 1.67/1.86 (~xuntil6(s58)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2819, 13345])).
% 1.67/1.86 tff(13347,plain,
% 1.67/1.86 (~always3(s58)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1479, 13342])).
% 1.67/1.86 tff(13348,plain,
% 1.67/1.86 (~node4(s58)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2806, 595, 13347])).
% 1.67/1.86 tff(13349,plain,
% 1.67/1.86 (xuntil6(s58) | (~until5(s58))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2813, 614, 13348])).
% 1.67/1.86 tff(13350,plain,
% 1.67/1.86 (~until5(s58)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13349, 13346])).
% 1.67/1.86 tff(13351,plain,
% 1.67/1.86 (~xuntil6(s57)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2802, 13350])).
% 1.67/1.86 tff(13352,plain,
% 1.67/1.86 (~always3(s57)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1491, 13347])).
% 1.67/1.86 tff(13353,plain,
% 1.67/1.86 (~node4(s57)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2789, 595, 13352])).
% 1.67/1.86 tff(13354,plain,
% 1.67/1.86 (xuntil6(s57) | (~until5(s57))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2796, 614, 13353])).
% 1.67/1.86 tff(13355,plain,
% 1.67/1.86 (~until5(s57)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13354, 13351])).
% 1.67/1.86 tff(13356,plain,
% 1.67/1.86 (~xuntil6(s56)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2785, 13355])).
% 1.67/1.86 tff(13357,plain,
% 1.67/1.86 (~always3(s56)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1503, 13352])).
% 1.67/1.86 tff(13358,plain,
% 1.67/1.86 (~node4(s56)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2772, 595, 13357])).
% 1.67/1.86 tff(13359,plain,
% 1.67/1.86 (xuntil6(s56) | (~until5(s56))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2779, 614, 13358])).
% 1.67/1.86 tff(13360,plain,
% 1.67/1.86 (~until5(s56)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13359, 13356])).
% 1.67/1.86 tff(13361,plain,
% 1.67/1.86 (~xuntil6(s55)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2768, 13360])).
% 1.67/1.86 tff(13362,plain,
% 1.67/1.86 (~always3(s55)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1515, 13357])).
% 1.67/1.86 tff(13363,plain,
% 1.67/1.86 (~node4(s55)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2755, 595, 13362])).
% 1.67/1.86 tff(13364,plain,
% 1.67/1.86 (xuntil6(s55) | (~until5(s55))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2762, 614, 13363])).
% 1.67/1.86 tff(13365,plain,
% 1.67/1.86 (~until5(s55)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13364, 13361])).
% 1.67/1.86 tff(13366,plain,
% 1.67/1.86 (~xuntil6(s54)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2751, 13365])).
% 1.67/1.86 tff(13367,plain,
% 1.67/1.86 (~always3(s54)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1527, 13362])).
% 1.67/1.86 tff(13368,plain,
% 1.67/1.86 (~node4(s54)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2738, 595, 13367])).
% 1.67/1.86 tff(13369,plain,
% 1.67/1.86 (xuntil6(s54) | (~until5(s54))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2745, 614, 13368])).
% 1.67/1.86 tff(13370,plain,
% 1.67/1.86 (~until5(s54)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13369, 13366])).
% 1.67/1.86 tff(13371,plain,
% 1.67/1.86 (~always3(s53)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1539, 13367])).
% 1.67/1.86 tff(13372,plain,
% 1.67/1.86 (~always3(s52)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1551, 13371])).
% 1.67/1.86 tff(13373,plain,
% 1.67/1.86 (~always3(s51)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1563, 13372])).
% 1.67/1.86 tff(13374,plain,
% 1.67/1.86 (~always3(s50)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1575, 13373])).
% 1.67/1.86 tff(13375,plain,
% 1.67/1.86 (~always3(s49)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1587, 13374])).
% 1.67/1.86 tff(13376,plain,
% 1.67/1.86 (~always3(s48)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[1599, 13375])).
% 1.67/1.86 tff(13377,plain,
% 1.67/1.86 (~always3(s47)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[54, 13376])).
% 1.67/1.86 tff(13378,plain,
% 1.67/1.86 (~always3(s46)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[66, 13377])).
% 1.67/1.86 tff(13379,plain,
% 1.67/1.86 (~always3(s45)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[78, 13378])).
% 1.67/1.86 tff(13380,plain,
% 1.67/1.86 (~node4(s45)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2585, 595, 13379])).
% 1.67/1.86 tff(13381,plain,
% 1.67/1.86 (~always3(s44)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[90, 13379])).
% 1.67/1.86 tff(13382,plain,
% 1.67/1.86 (~node4(s44)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2568, 595, 13381])).
% 1.67/1.86 tff(13383,plain,
% 1.67/1.86 (~always3(s43)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[102, 13381])).
% 1.67/1.86 tff(13384,plain,
% 1.67/1.86 (xuntil6(s43)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[8147, 13383, 8122])).
% 1.67/1.86 tff(13385,plain,
% 1.67/1.86 (until5(s44)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2564, 13384])).
% 1.67/1.86 tff(13386,plain,
% 1.67/1.86 (xuntil6(s44) | node4(s44)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2575, 614, 13385])).
% 1.67/1.86 tff(13387,plain,
% 1.67/1.86 (xuntil6(s44)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13386, 13382])).
% 1.67/1.86 tff(13388,plain,
% 1.67/1.86 (until5(s45)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2581, 13387])).
% 1.67/1.86 tff(13389,plain,
% 1.67/1.86 (xuntil6(s45)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2592, 614, 13388, 13380])).
% 1.67/1.86 tff(13390,plain,
% 1.67/1.86 (until5(s46)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2598, 13389])).
% 1.67/1.86 tff(13391,plain,
% 1.67/1.86 (~node4(s46)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2602, 595, 13378])).
% 1.67/1.86 tff(13392,plain,
% 1.67/1.86 (xuntil6(s46) | (~until5(s46))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2609, 614, 13391])).
% 1.67/1.86 tff(13393,plain,
% 1.67/1.86 (xuntil6(s46)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13392, 13390])).
% 1.67/1.86 tff(13394,plain,
% 1.67/1.86 (until5(s47)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2615, 13393])).
% 1.67/1.86 tff(13395,plain,
% 1.67/1.86 (~node4(s47)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2619, 595, 13377])).
% 1.67/1.86 tff(13396,plain,
% 1.67/1.86 (xuntil6(s47) | (~until5(s47))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2626, 614, 13395])).
% 1.67/1.86 tff(13397,plain,
% 1.67/1.86 (xuntil6(s47)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13396, 13394])).
% 1.67/1.86 tff(13398,plain,
% 1.67/1.86 (until5(s48)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2632, 13397])).
% 1.67/1.86 tff(13399,plain,
% 1.67/1.86 (~node4(s48)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2636, 595, 13376])).
% 1.67/1.86 tff(13400,plain,
% 1.67/1.86 (xuntil6(s48) | (~until5(s48))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2643, 614, 13399])).
% 1.67/1.86 tff(13401,plain,
% 1.67/1.86 (xuntil6(s48)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[13400, 13398])).
% 1.67/1.86 tff(13402,plain,
% 1.67/1.86 (until5(s49)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2649, 13401])).
% 1.67/1.86 tff(13403,plain,
% 1.67/1.86 (~node4(s49)),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2653, 595, 13375])).
% 1.67/1.86 tff(13404,plain,
% 1.67/1.86 (xuntil6(s49) | (~until5(s49))),
% 1.67/1.86 inference(unit_resolution,[status(thm)],[2660, 614, 13403])).
% 1.67/1.87 tff(13405,plain,
% 1.67/1.87 (xuntil6(s49)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13404, 13402])).
% 1.67/1.87 tff(13406,plain,
% 1.67/1.87 (until5(s50)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2666, 13405])).
% 1.67/1.87 tff(13407,plain,
% 1.67/1.87 (~node4(s50)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2670, 595, 13374])).
% 1.67/1.87 tff(13408,plain,
% 1.67/1.87 (xuntil6(s50) | (~until5(s50))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2677, 614, 13407])).
% 1.67/1.87 tff(13409,plain,
% 1.67/1.87 (xuntil6(s50)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13408, 13406])).
% 1.67/1.87 tff(13410,plain,
% 1.67/1.87 (until5(s51)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2683, 13409])).
% 1.67/1.87 tff(13411,plain,
% 1.67/1.87 (~node4(s51)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2687, 595, 13373])).
% 1.67/1.87 tff(13412,plain,
% 1.67/1.87 (xuntil6(s51) | (~until5(s51))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2694, 614, 13411])).
% 1.67/1.87 tff(13413,plain,
% 1.67/1.87 (xuntil6(s51)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13412, 13410])).
% 1.67/1.87 tff(13414,plain,
% 1.67/1.87 (until5(s52)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2700, 13413])).
% 1.67/1.87 tff(13415,plain,
% 1.67/1.87 (~node4(s52)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2704, 595, 13372])).
% 1.67/1.87 tff(13416,plain,
% 1.67/1.87 (xuntil6(s52) | (~until5(s52))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2711, 614, 13415])).
% 1.67/1.87 tff(13417,plain,
% 1.67/1.87 (xuntil6(s52)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13416, 13414])).
% 1.67/1.87 tff(13418,plain,
% 1.67/1.87 (until5(s53)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2717, 13417])).
% 1.67/1.87 tff(13419,plain,
% 1.67/1.87 (~node4(s53)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2721, 595, 13371])).
% 1.67/1.87 tff(13420,plain,
% 1.67/1.87 (xuntil6(s53) | (~until5(s53))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2728, 614, 13419])).
% 1.67/1.87 tff(13421,plain,
% 1.67/1.87 (xuntil6(s53)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13420, 13418])).
% 1.67/1.87 tff(13422,plain,
% 1.67/1.87 ($false),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2734, 13421, 13370])).
% 1.67/1.87 tff(13423,plain,(always3(s63) | xuntil6(s63) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.87 tff(13424,plain,
% 1.67/1.87 (xuntil6(s63)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13423, 8846, 8122])).
% 1.67/1.87 tff(13425,plain,
% 1.67/1.87 (until5(s64)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1398, 13424])).
% 1.67/1.87 tff(13426,plain,
% 1.67/1.87 (~trans(s99, s63)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8855, 8846])).
% 1.67/1.87 tff(13427,plain,
% 1.67/1.87 (~node4(s64)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1382, 595, 8857])).
% 1.67/1.87 tff(13428,assumption,(until5(s64)), introduced(assumption)).
% 1.67/1.87 tff(13429,plain,
% 1.67/1.87 (xuntil6(s64) | node4(s64)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1389, 614, 13428])).
% 1.67/1.87 tff(13430,plain,
% 1.67/1.87 (xuntil6(s64)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13429, 13427])).
% 1.67/1.87 tff(13431,plain,
% 1.67/1.87 (until5(s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1369, 13430])).
% 1.67/1.87 tff(13432,assumption,(~xuntil6(s65)), introduced(assumption)).
% 1.67/1.87 tff(13433,plain,
% 1.67/1.87 (~node4(s64)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1382, 595, 6487])).
% 1.67/1.87 tff(13434,plain,
% 1.67/1.87 (~node4(s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1353, 595, 6486])).
% 1.67/1.87 tff(13435,plain,
% 1.67/1.87 (node4(s65) | (~until5(s65))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1360, 614, 13432])).
% 1.67/1.87 tff(13436,plain,
% 1.67/1.87 (~until5(s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13435, 13434])).
% 1.67/1.87 tff(13437,plain,
% 1.67/1.87 (~xuntil6(s64)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1369, 13436])).
% 1.67/1.87 tff(13438,plain,
% 1.67/1.87 (~until5(s64)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1389, 614, 13437, 13433])).
% 1.67/1.87 tff(13439,plain,
% 1.67/1.87 (~xuntil6(s63)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1398, 13438])).
% 1.67/1.87 tff(13440,plain,
% 1.67/1.87 (~node4(s63)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1411, 595, 6488])).
% 1.67/1.87 tff(13441,plain,
% 1.67/1.87 (xuntil6(s63) | (~until5(s63))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1418, 614, 13440])).
% 1.67/1.87 tff(13442,plain,
% 1.67/1.87 (~until5(s63)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13441, 13439])).
% 1.67/1.87 tff(13443,plain,
% 1.67/1.87 (~xuntil6(s62)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2887, 13442])).
% 1.67/1.87 tff(13444,plain,
% 1.67/1.87 (~node4(s62)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2874, 595, 6489])).
% 1.67/1.87 tff(13445,plain,
% 1.67/1.87 (xuntil6(s62) | (~until5(s62))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2881, 614, 13444])).
% 1.67/1.87 tff(13446,plain,
% 1.67/1.87 (~until5(s62)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13445, 13443])).
% 1.67/1.87 tff(13447,plain,
% 1.67/1.87 (~xuntil6(s61)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2870, 13446])).
% 1.67/1.87 tff(13448,plain,
% 1.67/1.87 (~node4(s61)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2857, 595, 8230])).
% 1.67/1.87 tff(13449,plain,
% 1.67/1.87 (xuntil6(s61) | (~until5(s61))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2864, 614, 13448])).
% 1.67/1.87 tff(13450,plain,
% 1.67/1.87 (~until5(s61)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13449, 13447])).
% 1.67/1.87 tff(13451,plain,
% 1.67/1.87 (~xuntil6(s60)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2853, 13450])).
% 1.67/1.87 tff(13452,plain,
% 1.67/1.87 (~node4(s60)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2840, 595, 8231])).
% 1.67/1.87 tff(13453,plain,
% 1.67/1.87 (xuntil6(s60) | (~until5(s60))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2847, 614, 13452])).
% 1.67/1.87 tff(13454,plain,
% 1.67/1.87 (~until5(s60)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13453, 13451])).
% 1.67/1.87 tff(13455,plain,
% 1.67/1.87 (~xuntil6(s59)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2836, 13454])).
% 1.67/1.87 tff(13456,plain,
% 1.67/1.87 (~node4(s59)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2823, 595, 8232])).
% 1.67/1.87 tff(13457,plain,
% 1.67/1.87 (xuntil6(s59) | (~until5(s59))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2830, 614, 13456])).
% 1.67/1.87 tff(13458,plain,
% 1.67/1.87 (~until5(s59)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13457, 13455])).
% 1.67/1.87 tff(13459,plain,
% 1.67/1.87 (~xuntil6(s58)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2819, 13458])).
% 1.67/1.87 tff(13460,plain,
% 1.67/1.87 (~node4(s58)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2806, 595, 8233])).
% 1.67/1.87 tff(13461,plain,
% 1.67/1.87 (xuntil6(s58) | (~until5(s58))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2813, 614, 13460])).
% 1.67/1.87 tff(13462,plain,
% 1.67/1.87 (~until5(s58)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13461, 13459])).
% 1.67/1.87 tff(13463,plain,
% 1.67/1.87 (~xuntil6(s57)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2802, 13462])).
% 1.67/1.87 tff(13464,plain,
% 1.67/1.87 (~node4(s57)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2789, 595, 8245])).
% 1.67/1.87 tff(13465,plain,
% 1.67/1.87 (xuntil6(s57) | (~until5(s57))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2796, 614, 13464])).
% 1.67/1.87 tff(13466,plain,
% 1.67/1.87 (~until5(s57)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13465, 13463])).
% 1.67/1.87 tff(13467,plain,
% 1.67/1.87 (~xuntil6(s56)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2785, 13466])).
% 1.67/1.87 tff(13468,plain,
% 1.67/1.87 (~node4(s56)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2772, 595, 8246])).
% 1.67/1.87 tff(13469,plain,
% 1.67/1.87 (xuntil6(s56) | (~until5(s56))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2779, 614, 13468])).
% 1.67/1.87 tff(13470,plain,
% 1.67/1.87 (~until5(s56)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13469, 13467])).
% 1.67/1.87 tff(13471,plain,
% 1.67/1.87 (~xuntil6(s55)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2768, 13470])).
% 1.67/1.87 tff(13472,plain,
% 1.67/1.87 (~node4(s55)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2755, 595, 8247])).
% 1.67/1.87 tff(13473,plain,
% 1.67/1.87 (xuntil6(s55) | (~until5(s55))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2762, 614, 13472])).
% 1.67/1.87 tff(13474,plain,
% 1.67/1.87 (~until5(s55)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13473, 13471])).
% 1.67/1.87 tff(13475,plain,
% 1.67/1.87 (~always3(s48)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1599, 8430])).
% 1.67/1.87 tff(13476,plain,
% 1.67/1.87 (~always3(s47)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[54, 13475])).
% 1.67/1.87 tff(13477,plain,
% 1.67/1.87 (~always3(s46)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[66, 13476])).
% 1.67/1.87 tff(13478,plain,
% 1.67/1.87 (~always3(s45)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[78, 13477])).
% 1.67/1.87 tff(13479,plain,
% 1.67/1.87 (~node4(s45)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2585, 595, 13478])).
% 1.67/1.87 tff(13480,plain,
% 1.67/1.87 (~always3(s44)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[90, 13478])).
% 1.67/1.87 tff(13481,plain,
% 1.67/1.87 (~node4(s44)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2568, 595, 13480])).
% 1.67/1.87 tff(13482,plain,
% 1.67/1.87 (~always3(s43)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[102, 13480])).
% 1.67/1.87 tff(13483,plain,
% 1.67/1.87 (xuntil6(s43)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8147, 13482, 8122])).
% 1.67/1.87 tff(13484,plain,
% 1.67/1.87 (until5(s44)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2564, 13483])).
% 1.67/1.87 tff(13485,plain,
% 1.67/1.87 (xuntil6(s44) | node4(s44)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2575, 614, 13484])).
% 1.67/1.87 tff(13486,plain,
% 1.67/1.87 (xuntil6(s44)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13485, 13481])).
% 1.67/1.87 tff(13487,plain,
% 1.67/1.87 (until5(s45)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2581, 13486])).
% 1.67/1.87 tff(13488,plain,
% 1.67/1.87 (xuntil6(s45)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2592, 614, 13487, 13479])).
% 1.67/1.87 tff(13489,plain,
% 1.67/1.87 (until5(s46)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2598, 13488])).
% 1.67/1.87 tff(13490,plain,
% 1.67/1.87 (~node4(s46)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2602, 595, 13477])).
% 1.67/1.87 tff(13491,plain,
% 1.67/1.87 (xuntil6(s46) | (~until5(s46))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2609, 614, 13490])).
% 1.67/1.87 tff(13492,plain,
% 1.67/1.87 (xuntil6(s46)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13491, 13489])).
% 1.67/1.87 tff(13493,plain,
% 1.67/1.87 (until5(s47)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2615, 13492])).
% 1.67/1.87 tff(13494,plain,
% 1.67/1.87 (~node4(s47)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2619, 595, 13476])).
% 1.67/1.87 tff(13495,plain,
% 1.67/1.87 (xuntil6(s47) | (~until5(s47))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2626, 614, 13494])).
% 1.67/1.87 tff(13496,plain,
% 1.67/1.87 (xuntil6(s47)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13495, 13493])).
% 1.67/1.87 tff(13497,plain,
% 1.67/1.87 (until5(s48)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2632, 13496])).
% 1.67/1.87 tff(13498,plain,
% 1.67/1.87 (~node4(s48)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2636, 595, 13475])).
% 1.67/1.87 tff(13499,plain,
% 1.67/1.87 (xuntil6(s48) | (~until5(s48))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2643, 614, 13498])).
% 1.67/1.87 tff(13500,plain,
% 1.67/1.87 (xuntil6(s48)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13499, 13497])).
% 1.67/1.87 tff(13501,plain,
% 1.67/1.87 (until5(s49)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2649, 13500])).
% 1.67/1.87 tff(13502,plain,
% 1.67/1.87 (~node4(s49)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2653, 595, 8430])).
% 1.67/1.87 tff(13503,plain,
% 1.67/1.87 (xuntil6(s49) | (~until5(s49))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2660, 614, 13502])).
% 1.67/1.87 tff(13504,plain,
% 1.67/1.87 (xuntil6(s49)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13503, 13501])).
% 1.67/1.87 tff(13505,plain,
% 1.67/1.87 (until5(s50)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2666, 13504])).
% 1.67/1.87 tff(13506,plain,
% 1.67/1.87 (~node4(s50)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2670, 595, 8326])).
% 1.67/1.87 tff(13507,plain,
% 1.67/1.87 (xuntil6(s50) | (~until5(s50))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2677, 614, 13506])).
% 1.67/1.87 tff(13508,plain,
% 1.67/1.87 (xuntil6(s50)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13507, 13505])).
% 1.67/1.87 tff(13509,plain,
% 1.67/1.87 (until5(s51)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2683, 13508])).
% 1.67/1.87 tff(13510,plain,
% 1.67/1.87 (~node4(s51)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2687, 595, 8325])).
% 1.67/1.87 tff(13511,plain,
% 1.67/1.87 (xuntil6(s51) | (~until5(s51))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2694, 614, 13510])).
% 1.67/1.87 tff(13512,plain,
% 1.67/1.87 (xuntil6(s51)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13511, 13509])).
% 1.67/1.87 tff(13513,plain,
% 1.67/1.87 (until5(s52)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2700, 13512])).
% 1.67/1.87 tff(13514,plain,
% 1.67/1.87 (~node4(s52)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2704, 595, 8324])).
% 1.67/1.87 tff(13515,plain,
% 1.67/1.87 (xuntil6(s52) | (~until5(s52))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2711, 614, 13514])).
% 1.67/1.87 tff(13516,plain,
% 1.67/1.87 (xuntil6(s52)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13515, 13513])).
% 1.67/1.87 tff(13517,plain,
% 1.67/1.87 (until5(s53)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2717, 13516])).
% 1.67/1.87 tff(13518,plain,
% 1.67/1.87 (~node4(s53)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2721, 595, 8282])).
% 1.67/1.87 tff(13519,plain,
% 1.67/1.87 (xuntil6(s53) | (~until5(s53))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2728, 614, 13518])).
% 1.67/1.87 tff(13520,plain,
% 1.67/1.87 (xuntil6(s53)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13519, 13517])).
% 1.67/1.87 tff(13521,plain,
% 1.67/1.87 (until5(s54)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2734, 13520])).
% 1.67/1.87 tff(13522,plain,
% 1.67/1.87 (~node4(s54)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2738, 595, 8248])).
% 1.67/1.87 tff(13523,plain,
% 1.67/1.87 (xuntil6(s54) | (~until5(s54))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2745, 614, 13522])).
% 1.67/1.87 tff(13524,plain,
% 1.67/1.87 (xuntil6(s54)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13523, 13521])).
% 1.67/1.87 tff(13525,plain,
% 1.67/1.87 ($false),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2751, 13524, 13474])).
% 1.67/1.87 tff(13526,plain,(always3(s65) | xuntil6(s65) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.87 tff(13527,plain,
% 1.67/1.87 (always3(s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13526, 13432, 8122])).
% 1.67/1.87 tff(13528,plain,
% 1.67/1.87 (always3(s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1349, 13527])).
% 1.67/1.87 tff(13529,plain,
% 1.67/1.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s66)) | (~m_main_v_state(s66, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s66)) | (~m_main_v_state(s66, c_busy)))),
% 1.67/1.87 inference(rewrite,[status(thm)],[])).
% 1.67/1.87 tff(13530,plain,
% 1.67/1.87 (((~m_main_v_state(s66, c_busy)) | (~always3(s66))) <=> ((~always3(s66)) | (~m_main_v_state(s66, c_busy)))),
% 1.67/1.87 inference(rewrite,[status(thm)],[])).
% 1.67/1.87 tff(13531,plain,
% 1.67/1.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s66, c_busy)) | (~always3(s66)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s66)) | (~m_main_v_state(s66, c_busy))))),
% 1.67/1.87 inference(monotonicity,[status(thm)],[13530])).
% 1.67/1.87 tff(13532,plain,
% 1.67/1.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s66, c_busy)) | (~always3(s66)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s66)) | (~m_main_v_state(s66, c_busy)))),
% 1.67/1.87 inference(transitivity,[status(thm)],[13531, 13529])).
% 1.67/1.87 tff(13533,plain,
% 1.67/1.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s66, c_busy)) | (~always3(s66)))),
% 1.67/1.87 inference(quant_inst,[status(thm)],[])).
% 1.67/1.87 tff(13534,plain,
% 1.67/1.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s66)) | (~m_main_v_state(s66, c_busy))),
% 1.67/1.87 inference(modus_ponens,[status(thm)],[13533, 13532])).
% 1.67/1.87 tff(13535,plain,
% 1.67/1.87 (~m_main_v_state(s66, c_busy)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13534, 3154, 13528])).
% 1.67/1.87 tff(13536,assumption,(until5(s65)), introduced(assumption)).
% 1.67/1.87 tff(13537,plain,
% 1.67/1.87 (xuntil6(s65) | node4(s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1360, 614, 13536])).
% 1.67/1.87 tff(13538,plain,
% 1.67/1.87 (node4(s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13537, 13432])).
% 1.67/1.87 tff(13539,plain,
% 1.67/1.87 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s65) | (~node4(s65)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s65) | (~node4(s65)))),
% 1.67/1.87 inference(rewrite,[status(thm)],[])).
% 1.67/1.87 tff(13540,plain,
% 1.67/1.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s65) | (~node4(s65)))),
% 1.67/1.87 inference(quant_inst,[status(thm)],[])).
% 1.67/1.87 tff(13541,plain,
% 1.67/1.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s65) | (~node4(s65))),
% 1.67/1.87 inference(modus_ponens,[status(thm)],[13540, 13539])).
% 1.67/1.87 tff(13542,plain,
% 1.67/1.87 (m_main_v_request(s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13541, 3141, 13538])).
% 1.67/1.87 tff(13543,plain,
% 1.67/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s65, s66)) | node2(s65, s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s65, s66)) | node2(s65, s66))),
% 1.67/1.87 inference(rewrite,[status(thm)],[])).
% 1.67/1.87 tff(13544,plain,
% 1.67/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s65, s66)) | node2(s65, s66))),
% 1.67/1.87 inference(quant_inst,[status(thm)],[])).
% 1.67/1.87 tff(13545,plain,
% 1.67/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s65, s66)) | node2(s65, s66)),
% 1.67/1.87 inference(modus_ponens,[status(thm)],[13544, 13543])).
% 1.67/1.87 tff(13546,plain,
% 1.67/1.87 (node2(s65, s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13545, 7, 1345])).
% 1.67/1.87 tff(13547,plain,
% 1.67/1.87 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s65, c_ready)) | (~node2(s65, s66)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s65)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s65, c_ready)) | (~node2(s65, s66)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s65)))),
% 1.67/1.87 inference(rewrite,[status(thm)],[])).
% 1.67/1.87 tff(13548,plain,
% 1.67/1.87 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s65, c_ready)) | (~node2(s65, s66)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s65)))),
% 1.67/1.87 inference(quant_inst,[status(thm)],[])).
% 1.67/1.87 tff(13549,plain,
% 1.67/1.87 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s65, c_ready)) | (~node2(s65, s66)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s65))),
% 1.67/1.87 inference(modus_ponens,[status(thm)],[13548, 13547])).
% 1.67/1.87 tff(13550,plain,
% 1.67/1.87 ((~m_main_v_state(s65, c_ready)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s65))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13549, 3175, 13546])).
% 1.67/1.87 tff(13551,plain,
% 1.67/1.87 (~m_main_v_state(s65, c_ready)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13550, 13542, 13535])).
% 1.67/1.87 tff(13552,plain,
% 1.67/1.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s65)) | (~m_main_v_state(s65, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s65)) | (~m_main_v_state(s65, c_busy)))),
% 1.67/1.87 inference(rewrite,[status(thm)],[])).
% 1.67/1.87 tff(13553,plain,
% 1.67/1.87 (((~m_main_v_state(s65, c_busy)) | (~always3(s65))) <=> ((~always3(s65)) | (~m_main_v_state(s65, c_busy)))),
% 1.67/1.87 inference(rewrite,[status(thm)],[])).
% 1.67/1.87 tff(13554,plain,
% 1.67/1.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s65, c_busy)) | (~always3(s65)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s65)) | (~m_main_v_state(s65, c_busy))))),
% 1.67/1.87 inference(monotonicity,[status(thm)],[13553])).
% 1.67/1.87 tff(13555,plain,
% 1.67/1.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s65, c_busy)) | (~always3(s65)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s65)) | (~m_main_v_state(s65, c_busy)))),
% 1.67/1.87 inference(transitivity,[status(thm)],[13554, 13552])).
% 1.67/1.87 tff(13556,plain,
% 1.67/1.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s65, c_busy)) | (~always3(s65)))),
% 1.67/1.87 inference(quant_inst,[status(thm)],[])).
% 1.67/1.87 tff(13557,plain,
% 1.67/1.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s65)) | (~m_main_v_state(s65, c_busy))),
% 1.67/1.87 inference(modus_ponens,[status(thm)],[13556, 13555])).
% 1.67/1.87 tff(13558,plain,
% 1.67/1.87 (~m_main_v_state(s65, c_busy)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13557, 3154, 13527])).
% 1.67/1.87 tff(13559,plain,
% 1.67/1.87 ($false),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[22, 19, 13558, 13551])).
% 1.67/1.87 tff(13560,plain,(xuntil6(s65) | (~until5(s65)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.87 tff(13561,plain,
% 1.67/1.87 (xuntil6(s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13560, 13431, 8122])).
% 1.67/1.87 tff(13562,plain,
% 1.67/1.87 (until5(s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1340, 13561])).
% 1.67/1.87 tff(13563,assumption,(node4(s66)), introduced(assumption)).
% 1.67/1.87 tff(13564,plain,
% 1.67/1.87 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s66) | (~node4(s66)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s66) | (~node4(s66)))),
% 1.67/1.87 inference(rewrite,[status(thm)],[])).
% 1.67/1.87 tff(13565,plain,
% 1.67/1.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s66) | (~node4(s66)))),
% 1.67/1.87 inference(quant_inst,[status(thm)],[])).
% 1.67/1.87 tff(13566,plain,
% 1.67/1.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s66) | (~node4(s66))),
% 1.67/1.87 inference(modus_ponens,[status(thm)],[13565, 13564])).
% 1.67/1.87 tff(13567,plain,
% 1.67/1.87 (m_main_v_request(s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13566, 3141, 13563])).
% 1.67/1.87 tff(13568,plain,
% 1.67/1.87 (always3(s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1324, 595, 13563])).
% 1.67/1.87 tff(13569,plain,
% 1.67/1.87 (always3(s67)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1320, 13568])).
% 1.67/1.87 tff(13570,plain,
% 1.67/1.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s67)) | (~m_main_v_state(s67, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s67)) | (~m_main_v_state(s67, c_busy)))),
% 1.67/1.87 inference(rewrite,[status(thm)],[])).
% 1.67/1.87 tff(13571,plain,
% 1.67/1.87 (((~m_main_v_state(s67, c_busy)) | (~always3(s67))) <=> ((~always3(s67)) | (~m_main_v_state(s67, c_busy)))),
% 1.67/1.87 inference(rewrite,[status(thm)],[])).
% 1.67/1.87 tff(13572,plain,
% 1.67/1.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s67, c_busy)) | (~always3(s67)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s67)) | (~m_main_v_state(s67, c_busy))))),
% 1.67/1.87 inference(monotonicity,[status(thm)],[13571])).
% 1.67/1.87 tff(13573,plain,
% 1.67/1.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s67, c_busy)) | (~always3(s67)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s67)) | (~m_main_v_state(s67, c_busy)))),
% 1.67/1.87 inference(transitivity,[status(thm)],[13572, 13570])).
% 1.67/1.87 tff(13574,plain,
% 1.67/1.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s67, c_busy)) | (~always3(s67)))),
% 1.67/1.87 inference(quant_inst,[status(thm)],[])).
% 1.67/1.87 tff(13575,plain,
% 1.67/1.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s67)) | (~m_main_v_state(s67, c_busy))),
% 1.67/1.87 inference(modus_ponens,[status(thm)],[13574, 13573])).
% 1.67/1.87 tff(13576,plain,
% 1.67/1.87 (~m_main_v_state(s67, c_busy)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13575, 3154, 13569])).
% 1.67/1.87 tff(13577,plain,
% 1.67/1.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s66, s67)) | node2(s66, s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s66, s67)) | node2(s66, s67))),
% 1.67/1.87 inference(rewrite,[status(thm)],[])).
% 1.67/1.87 tff(13578,plain,
% 1.67/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s66, s67)) | node2(s66, s67))),
% 1.67/1.87 inference(quant_inst,[status(thm)],[])).
% 1.67/1.87 tff(13579,plain,
% 1.67/1.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s66, s67)) | node2(s66, s67)),
% 1.67/1.87 inference(modus_ponens,[status(thm)],[13578, 13577])).
% 1.67/1.87 tff(13580,plain,
% 1.67/1.87 (node2(s66, s67)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13579, 7, 1316])).
% 1.67/1.87 tff(13581,plain,
% 1.67/1.87 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s66, c_ready)) | (~node2(s66, s67)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s66)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s66, c_ready)) | (~node2(s66, s67)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s66)))),
% 1.67/1.87 inference(rewrite,[status(thm)],[])).
% 1.67/1.87 tff(13582,plain,
% 1.67/1.87 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s66, c_ready)) | (~node2(s66, s67)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s66)))),
% 1.67/1.87 inference(quant_inst,[status(thm)],[])).
% 1.67/1.87 tff(13583,plain,
% 1.67/1.87 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s66, c_ready)) | (~node2(s66, s67)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s66))),
% 1.67/1.87 inference(modus_ponens,[status(thm)],[13582, 13581])).
% 1.67/1.87 tff(13584,plain,
% 1.67/1.87 ((~m_main_v_state(s66, c_ready)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s66))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13583, 3175, 13580])).
% 1.67/1.87 tff(13585,plain,
% 1.67/1.87 (~m_main_v_state(s66, c_ready)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13584, 13576, 13567])).
% 1.67/1.87 tff(13586,plain,
% 1.67/1.87 (~m_main_v_state(s66, c_busy)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13534, 3154, 13568])).
% 1.67/1.87 tff(13587,plain,
% 1.67/1.87 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s66, c_busy) | m_main_v_state(s66, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s66, c_busy) | m_main_v_state(s66, c_ready))),
% 1.67/1.87 inference(rewrite,[status(thm)],[])).
% 1.67/1.87 tff(13588,plain,
% 1.67/1.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s66, c_busy) | m_main_v_state(s66, c_ready))),
% 1.67/1.87 inference(quant_inst,[status(thm)],[])).
% 1.67/1.87 tff(13589,plain,
% 1.67/1.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s66, c_busy) | m_main_v_state(s66, c_ready)),
% 1.67/1.87 inference(modus_ponens,[status(thm)],[13588, 13587])).
% 1.67/1.87 tff(13590,plain,
% 1.67/1.87 ($false),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13589, 19, 13586, 13585])).
% 1.67/1.87 tff(13591,plain,(~node4(s66)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.87 tff(13592,plain,
% 1.67/1.87 (xuntil6(s66) | (~until5(s66))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1331, 614, 13591])).
% 1.67/1.87 tff(13593,plain,
% 1.67/1.87 (xuntil6(s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13592, 13562])).
% 1.67/1.87 tff(13594,plain,
% 1.67/1.87 (until5(s67)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1311, 13593])).
% 1.67/1.87 tff(13595,plain,
% 1.67/1.87 (~always3(s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1320, 8651])).
% 1.67/1.87 tff(13596,plain,
% 1.67/1.87 (~always3(s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1349, 13595])).
% 1.67/1.87 tff(13597,plain,
% 1.67/1.87 (~always3(s64)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1378, 13596])).
% 1.67/1.87 tff(13598,plain,
% 1.67/1.87 (~always3(s63)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1407, 13597])).
% 1.67/1.87 tff(13599,plain,
% 1.67/1.87 (~always3(s62)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1431, 13598])).
% 1.67/1.87 tff(13600,plain,
% 1.67/1.87 (~always3(s61)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1443, 13599])).
% 1.67/1.87 tff(13601,plain,
% 1.67/1.87 (~always3(s60)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1455, 13600])).
% 1.67/1.87 tff(13602,plain,
% 1.67/1.87 (~always3(s59)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1467, 13601])).
% 1.67/1.87 tff(13603,plain,
% 1.67/1.87 (~always3(s58)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1479, 13602])).
% 1.67/1.87 tff(13604,plain,
% 1.67/1.87 (~always3(s57)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1491, 13603])).
% 1.67/1.87 tff(13605,plain,
% 1.67/1.87 (~always3(s56)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1503, 13604])).
% 1.67/1.87 tff(13606,plain,
% 1.67/1.87 (~always3(s55)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1515, 13605])).
% 1.67/1.87 tff(13607,plain,
% 1.67/1.87 (~always3(s54)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1527, 13606])).
% 1.67/1.87 tff(13608,plain,
% 1.67/1.87 (~always3(s53)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1539, 13607])).
% 1.67/1.87 tff(13609,plain,
% 1.67/1.87 (~always3(s52)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1551, 13608])).
% 1.67/1.87 tff(13610,plain,
% 1.67/1.87 (~always3(s51)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1563, 13609])).
% 1.67/1.87 tff(13611,plain,
% 1.67/1.87 (~always3(s50)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1575, 13610])).
% 1.67/1.87 tff(13612,plain,
% 1.67/1.87 (~always3(s49)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1587, 13611])).
% 1.67/1.87 tff(13613,plain,
% 1.67/1.87 (~always3(s48)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1599, 13612])).
% 1.67/1.87 tff(13614,plain,
% 1.67/1.87 (~always3(s47)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[54, 13613])).
% 1.67/1.87 tff(13615,plain,
% 1.67/1.87 (~always3(s46)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[66, 13614])).
% 1.67/1.87 tff(13616,plain,
% 1.67/1.87 (~always3(s45)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[78, 13615])).
% 1.67/1.87 tff(13617,plain,
% 1.67/1.87 (~always3(s44)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[90, 13616])).
% 1.67/1.87 tff(13618,plain,
% 1.67/1.87 (~always3(s43)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[102, 13617])).
% 1.67/1.87 tff(13619,plain,
% 1.67/1.87 (~always3(s42)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[114, 13618])).
% 1.67/1.87 tff(13620,plain,
% 1.67/1.87 (~always3(s41)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[126, 13619])).
% 1.67/1.87 tff(13621,plain,
% 1.67/1.87 (~always3(s40)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[138, 13620])).
% 1.67/1.87 tff(13622,plain,
% 1.67/1.87 (~always3(s39)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[150, 13621])).
% 1.67/1.87 tff(13623,plain,
% 1.67/1.87 (~always3(s38)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[162, 13622])).
% 1.67/1.87 tff(13624,plain,
% 1.67/1.87 (xuntil6(s38)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8067, 13623])).
% 1.67/1.87 tff(13625,plain,
% 1.67/1.87 (until5(s39)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2479, 13624])).
% 1.67/1.87 tff(13626,plain,
% 1.67/1.87 (~node4(s45)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2585, 595, 13616])).
% 1.67/1.87 tff(13627,plain,
% 1.67/1.87 (~node4(s44)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2568, 595, 13617])).
% 1.67/1.87 tff(13628,plain,
% 1.67/1.87 (xuntil6(s43)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8147, 13625, 13618])).
% 1.67/1.87 tff(13629,plain,
% 1.67/1.87 (until5(s44)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2564, 13628])).
% 1.67/1.87 tff(13630,plain,
% 1.67/1.87 (xuntil6(s44) | node4(s44)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2575, 614, 13629])).
% 1.67/1.87 tff(13631,plain,
% 1.67/1.87 (xuntil6(s44)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13630, 13627])).
% 1.67/1.87 tff(13632,plain,
% 1.67/1.87 (until5(s45)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2581, 13631])).
% 1.67/1.87 tff(13633,plain,
% 1.67/1.87 (xuntil6(s45)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2592, 614, 13632, 13626])).
% 1.67/1.87 tff(13634,plain,
% 1.67/1.87 (until5(s46)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2598, 13633])).
% 1.67/1.87 tff(13635,plain,
% 1.67/1.87 (~node4(s46)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2602, 595, 13615])).
% 1.67/1.87 tff(13636,plain,
% 1.67/1.87 (xuntil6(s46) | (~until5(s46))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2609, 614, 13635])).
% 1.67/1.87 tff(13637,plain,
% 1.67/1.87 (xuntil6(s46)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13636, 13634])).
% 1.67/1.87 tff(13638,plain,
% 1.67/1.87 (until5(s47)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2615, 13637])).
% 1.67/1.87 tff(13639,plain,
% 1.67/1.87 (~node4(s47)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2619, 595, 13614])).
% 1.67/1.87 tff(13640,plain,
% 1.67/1.87 (xuntil6(s47) | (~until5(s47))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2626, 614, 13639])).
% 1.67/1.87 tff(13641,plain,
% 1.67/1.87 (xuntil6(s47)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13640, 13638])).
% 1.67/1.87 tff(13642,plain,
% 1.67/1.87 (until5(s48)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2632, 13641])).
% 1.67/1.87 tff(13643,plain,
% 1.67/1.87 (~node4(s48)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2636, 595, 13613])).
% 1.67/1.87 tff(13644,plain,
% 1.67/1.87 (xuntil6(s48) | (~until5(s48))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2643, 614, 13643])).
% 1.67/1.87 tff(13645,plain,
% 1.67/1.87 (xuntil6(s48)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13644, 13642])).
% 1.67/1.87 tff(13646,plain,
% 1.67/1.87 (until5(s49)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2649, 13645])).
% 1.67/1.87 tff(13647,plain,
% 1.67/1.87 (~node4(s49)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2653, 595, 13612])).
% 1.67/1.87 tff(13648,plain,
% 1.67/1.87 (xuntil6(s49) | (~until5(s49))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2660, 614, 13647])).
% 1.67/1.87 tff(13649,plain,
% 1.67/1.87 (xuntil6(s49)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13648, 13646])).
% 1.67/1.87 tff(13650,plain,
% 1.67/1.87 (until5(s50)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2666, 13649])).
% 1.67/1.87 tff(13651,plain,
% 1.67/1.87 (~node4(s50)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2670, 595, 13611])).
% 1.67/1.87 tff(13652,plain,
% 1.67/1.87 (xuntil6(s50) | (~until5(s50))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2677, 614, 13651])).
% 1.67/1.87 tff(13653,plain,
% 1.67/1.87 (xuntil6(s50)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13652, 13650])).
% 1.67/1.87 tff(13654,plain,
% 1.67/1.87 (until5(s51)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2683, 13653])).
% 1.67/1.87 tff(13655,plain,
% 1.67/1.87 (~node4(s51)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2687, 595, 13610])).
% 1.67/1.87 tff(13656,plain,
% 1.67/1.87 (xuntil6(s51) | (~until5(s51))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2694, 614, 13655])).
% 1.67/1.87 tff(13657,plain,
% 1.67/1.87 (xuntil6(s51)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13656, 13654])).
% 1.67/1.87 tff(13658,plain,
% 1.67/1.87 (until5(s52)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2700, 13657])).
% 1.67/1.87 tff(13659,plain,
% 1.67/1.87 (~node4(s52)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2704, 595, 13609])).
% 1.67/1.87 tff(13660,plain,
% 1.67/1.87 (xuntil6(s52) | (~until5(s52))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2711, 614, 13659])).
% 1.67/1.87 tff(13661,plain,
% 1.67/1.87 (xuntil6(s52)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13660, 13658])).
% 1.67/1.87 tff(13662,plain,
% 1.67/1.87 (until5(s53)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2717, 13661])).
% 1.67/1.87 tff(13663,plain,
% 1.67/1.87 (~node4(s53)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2721, 595, 13608])).
% 1.67/1.87 tff(13664,plain,
% 1.67/1.87 (xuntil6(s53) | (~until5(s53))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2728, 614, 13663])).
% 1.67/1.87 tff(13665,plain,
% 1.67/1.87 (xuntil6(s53)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13664, 13662])).
% 1.67/1.87 tff(13666,plain,
% 1.67/1.87 (until5(s54)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2734, 13665])).
% 1.67/1.87 tff(13667,plain,
% 1.67/1.87 (~node4(s54)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2738, 595, 13607])).
% 1.67/1.87 tff(13668,plain,
% 1.67/1.87 (xuntil6(s54) | (~until5(s54))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2745, 614, 13667])).
% 1.67/1.87 tff(13669,plain,
% 1.67/1.87 (xuntil6(s54)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13668, 13666])).
% 1.67/1.87 tff(13670,plain,
% 1.67/1.87 (until5(s55)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2751, 13669])).
% 1.67/1.87 tff(13671,plain,
% 1.67/1.87 (~node4(s55)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2755, 595, 13606])).
% 1.67/1.87 tff(13672,plain,
% 1.67/1.87 (xuntil6(s55) | (~until5(s55))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2762, 614, 13671])).
% 1.67/1.87 tff(13673,plain,
% 1.67/1.87 (xuntil6(s55)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13672, 13670])).
% 1.67/1.87 tff(13674,plain,
% 1.67/1.87 (until5(s56)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2768, 13673])).
% 1.67/1.87 tff(13675,plain,
% 1.67/1.87 (~node4(s56)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2772, 595, 13605])).
% 1.67/1.87 tff(13676,plain,
% 1.67/1.87 (xuntil6(s56) | (~until5(s56))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2779, 614, 13675])).
% 1.67/1.87 tff(13677,plain,
% 1.67/1.87 (xuntil6(s56)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13676, 13674])).
% 1.67/1.87 tff(13678,plain,
% 1.67/1.87 (until5(s57)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2785, 13677])).
% 1.67/1.87 tff(13679,plain,
% 1.67/1.87 (~node4(s57)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2789, 595, 13604])).
% 1.67/1.87 tff(13680,plain,
% 1.67/1.87 (xuntil6(s57) | (~until5(s57))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2796, 614, 13679])).
% 1.67/1.87 tff(13681,plain,
% 1.67/1.87 (xuntil6(s57)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13680, 13678])).
% 1.67/1.87 tff(13682,plain,
% 1.67/1.87 (until5(s58)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2802, 13681])).
% 1.67/1.87 tff(13683,plain,
% 1.67/1.87 (~node4(s58)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2806, 595, 13603])).
% 1.67/1.87 tff(13684,plain,
% 1.67/1.87 (xuntil6(s58) | (~until5(s58))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2813, 614, 13683])).
% 1.67/1.87 tff(13685,plain,
% 1.67/1.87 (xuntil6(s58)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13684, 13682])).
% 1.67/1.87 tff(13686,plain,
% 1.67/1.87 (until5(s59)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2819, 13685])).
% 1.67/1.87 tff(13687,plain,
% 1.67/1.87 (~node4(s59)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2823, 595, 13602])).
% 1.67/1.87 tff(13688,plain,
% 1.67/1.87 (xuntil6(s59) | (~until5(s59))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2830, 614, 13687])).
% 1.67/1.87 tff(13689,plain,
% 1.67/1.87 (xuntil6(s59)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13688, 13686])).
% 1.67/1.87 tff(13690,plain,
% 1.67/1.87 (until5(s60)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2836, 13689])).
% 1.67/1.87 tff(13691,plain,
% 1.67/1.87 (~node4(s60)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2840, 595, 13601])).
% 1.67/1.87 tff(13692,plain,
% 1.67/1.87 (xuntil6(s60) | (~until5(s60))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2847, 614, 13691])).
% 1.67/1.87 tff(13693,plain,
% 1.67/1.87 (xuntil6(s60)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13692, 13690])).
% 1.67/1.87 tff(13694,plain,
% 1.67/1.87 (until5(s61)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2853, 13693])).
% 1.67/1.87 tff(13695,plain,
% 1.67/1.87 (~node4(s61)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2857, 595, 13600])).
% 1.67/1.87 tff(13696,plain,
% 1.67/1.87 (xuntil6(s61) | (~until5(s61))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2864, 614, 13695])).
% 1.67/1.87 tff(13697,plain,
% 1.67/1.87 (xuntil6(s61)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13696, 13694])).
% 1.67/1.87 tff(13698,plain,
% 1.67/1.87 (until5(s62)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2870, 13697])).
% 1.67/1.87 tff(13699,plain,
% 1.67/1.87 (~node4(s62)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2874, 595, 13599])).
% 1.67/1.87 tff(13700,plain,
% 1.67/1.87 (xuntil6(s62) | (~until5(s62))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2881, 614, 13699])).
% 1.67/1.87 tff(13701,plain,
% 1.67/1.87 (xuntil6(s62)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13700, 13698])).
% 1.67/1.87 tff(13702,plain,
% 1.67/1.87 (until5(s63)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2887, 13701])).
% 1.67/1.87 tff(13703,plain,
% 1.67/1.87 (~node4(s63)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1411, 595, 13598])).
% 1.67/1.87 tff(13704,plain,
% 1.67/1.87 (xuntil6(s63) | (~until5(s63))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1418, 614, 13703])).
% 1.67/1.87 tff(13705,plain,
% 1.67/1.87 (xuntil6(s63)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13704, 13702])).
% 1.67/1.87 tff(13706,plain,
% 1.67/1.87 (until5(s64)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1398, 13705])).
% 1.67/1.87 tff(13707,plain,
% 1.67/1.87 (~node4(s64)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1382, 595, 13597])).
% 1.67/1.87 tff(13708,plain,
% 1.67/1.87 (xuntil6(s64) | (~until5(s64))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1389, 614, 13707])).
% 1.67/1.87 tff(13709,plain,
% 1.67/1.87 (xuntil6(s64)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13708, 13706])).
% 1.67/1.87 tff(13710,plain,
% 1.67/1.87 (until5(s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1369, 13709])).
% 1.67/1.87 tff(13711,plain,
% 1.67/1.87 (~node4(s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1353, 595, 13596])).
% 1.67/1.87 tff(13712,plain,
% 1.67/1.87 (xuntil6(s65) | (~until5(s65))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1360, 614, 13711])).
% 1.67/1.87 tff(13713,plain,
% 1.67/1.87 (xuntil6(s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13712, 13710])).
% 1.67/1.87 tff(13714,plain,
% 1.67/1.87 (until5(s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1340, 13713])).
% 1.67/1.87 tff(13715,plain,
% 1.67/1.87 (~always3(s37)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[174, 13623])).
% 1.67/1.87 tff(13716,plain,
% 1.67/1.87 (~always3(s36)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[186, 13715])).
% 1.67/1.87 tff(13717,plain,
% 1.67/1.87 (~always3(s35)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[198, 13716])).
% 1.67/1.87 tff(13718,plain,
% 1.67/1.87 (~always3(s34)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[210, 13717])).
% 1.67/1.87 tff(13719,plain,
% 1.67/1.87 (~always3(s33)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[222, 13718])).
% 1.67/1.87 tff(13720,plain,
% 1.67/1.87 (~always3(s32)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[234, 13719])).
% 1.67/1.87 tff(13721,plain,
% 1.67/1.87 (~always3(s31)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[246, 13720])).
% 1.67/1.87 tff(13722,plain,
% 1.67/1.87 (~always3(s30)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[258, 13721])).
% 1.67/1.87 tff(13723,plain,
% 1.67/1.87 (~always3(s29)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[270, 13722])).
% 1.67/1.87 tff(13724,plain,
% 1.67/1.87 (~always3(s28)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[282, 13723])).
% 1.67/1.87 tff(13725,plain,
% 1.67/1.87 (~always3(s27)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[294, 13724])).
% 1.67/1.87 tff(13726,plain,
% 1.67/1.87 (~always3(s26)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[306, 13725])).
% 1.67/1.87 tff(13727,plain,
% 1.67/1.87 (~always3(s25)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[318, 13726])).
% 1.67/1.87 tff(13728,plain,
% 1.67/1.87 (~always3(s24)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[330, 13727])).
% 1.67/1.87 tff(13729,plain,
% 1.67/1.87 (~always3(s23)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[342, 13728])).
% 1.67/1.87 tff(13730,plain,
% 1.67/1.87 (~always3(s22)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[354, 13729])).
% 1.67/1.87 tff(13731,plain,
% 1.67/1.87 (~always3(s21)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[366, 13730])).
% 1.67/1.87 tff(13732,plain,
% 1.67/1.87 (~always3(s20)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[378, 13731])).
% 1.67/1.87 tff(13733,plain,
% 1.67/1.87 (~always3(s19)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[390, 13732])).
% 1.67/1.87 tff(13734,plain,
% 1.67/1.87 (~always3(s18)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[402, 13733])).
% 1.67/1.87 tff(13735,plain,
% 1.67/1.87 (~always3(s17)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[414, 13734])).
% 1.67/1.87 tff(13736,plain,
% 1.67/1.87 (~always3(s16)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[426, 13735])).
% 1.67/1.87 tff(13737,plain,
% 1.67/1.87 (~always3(s15)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[438, 13736])).
% 1.67/1.87 tff(13738,plain,
% 1.67/1.87 (~trans(s99, s15)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[5943, 13737])).
% 1.67/1.87 tff(13739,plain,
% 1.67/1.87 (~trans(s99, s48)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[5953, 13613])).
% 1.67/1.87 tff(13740,plain,
% 1.67/1.87 (~trans(s99, s39)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[5964, 13622])).
% 1.67/1.87 tff(13741,plain,
% 1.67/1.87 (~trans(s99, s58)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8243, 13603])).
% 1.67/1.87 tff(13742,plain,
% 1.67/1.87 (~trans(s99, s54)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8258, 13607])).
% 1.67/1.87 tff(13743,plain,
% 1.67/1.87 (~trans(s99, s41)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[5975, 13620])).
% 1.67/1.87 tff(13744,plain,
% 1.67/1.87 (~trans(s99, s61)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8270, 13600])).
% 1.67/1.87 tff(13745,plain,
% 1.67/1.87 (~trans(s99, s19)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[5986, 13733])).
% 1.67/1.87 tff(13746,plain,
% 1.67/1.87 (~trans(s99, s67)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8660, 8651])).
% 1.67/1.87 tff(13747,plain,
% 1.67/1.87 (~trans(s99, s44)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[5997, 13617])).
% 1.67/1.87 tff(13748,plain,
% 1.67/1.87 (~trans(s99, s38)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6008, 13623])).
% 1.67/1.87 tff(13749,plain,
% 1.67/1.87 (~always3(s14)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1942, 13737])).
% 1.67/1.87 tff(13750,plain,
% 1.67/1.87 (~always3(s13)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1954, 13749])).
% 1.67/1.87 tff(13751,plain,
% 1.67/1.87 (~always3(s12)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1966, 13750])).
% 1.67/1.87 tff(13752,plain,
% 1.67/1.87 (~always3(s11)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1978, 13751])).
% 1.67/1.87 tff(13753,plain,
% 1.67/1.87 (~always3(s10)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1990, 13752])).
% 1.67/1.87 tff(13754,plain,
% 1.67/1.87 (~always3(s9)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2002, 13753])).
% 1.67/1.87 tff(13755,plain,
% 1.67/1.87 (~always3(s8)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2014, 13754])).
% 1.67/1.87 tff(13756,plain,
% 1.67/1.87 (~always3(s7)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2026, 13755])).
% 1.67/1.87 tff(13757,plain,
% 1.67/1.87 (~always3(s6)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2038, 13756])).
% 1.67/1.87 tff(13758,plain,
% 1.67/1.87 (~always3(s5)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2050, 13757])).
% 1.67/1.87 tff(13759,plain,
% 1.67/1.87 (~always3(s4)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2062, 13758])).
% 1.67/1.87 tff(13760,plain,
% 1.67/1.87 (~always3(s3)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2074, 13759])).
% 1.67/1.87 tff(13761,plain,
% 1.67/1.87 (~always3(s2)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2086, 13760])).
% 1.67/1.87 tff(13762,plain,
% 1.67/1.87 (~trans(s99, s2)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6032, 13761])).
% 1.67/1.87 tff(13763,plain,
% 1.67/1.87 (~trans(s99, s4)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6043, 13759])).
% 1.67/1.87 tff(13764,plain,
% 1.67/1.87 (~trans(s99, s37)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6054, 13715])).
% 1.67/1.87 tff(13765,plain,
% 1.67/1.87 (~trans(s99, s13)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6065, 13750])).
% 1.67/1.87 tff(13766,plain,
% 1.67/1.87 (~trans(s99, s42)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6076, 13619])).
% 1.67/1.87 tff(13767,plain,
% 1.67/1.87 (~trans(s99, s47)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6087, 13614])).
% 1.67/1.87 tff(13768,plain,
% 1.67/1.87 (~trans(s99, s25)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6098, 13727])).
% 1.67/1.87 tff(13769,plain,
% 1.67/1.87 (~trans(s99, s53)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8292, 13608])).
% 1.67/1.87 tff(13770,plain,
% 1.67/1.87 (~trans(s99, s22)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6109, 13730])).
% 1.67/1.87 tff(13771,plain,
% 1.67/1.87 (~trans(s99, s28)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6120, 13724])).
% 1.67/1.87 tff(13772,plain,
% 1.67/1.87 (~trans(s99, s34)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6141, 13718])).
% 1.67/1.87 tff(13773,plain,
% 1.67/1.87 (~trans(s99, s11)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6152, 13752])).
% 1.67/1.87 tff(13774,plain,
% 1.67/1.87 (~trans(s99, s5)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6163, 13758])).
% 1.67/1.87 tff(13775,plain,
% 1.67/1.87 (~trans(s99, s20)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6174, 13732])).
% 1.67/1.87 tff(13776,plain,
% 1.67/1.87 (~trans(s99, s36)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6185, 13716])).
% 1.67/1.87 tff(13777,plain,
% 1.67/1.87 (~trans(s99, s43)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6196, 13618])).
% 1.67/1.87 tff(13778,plain,
% 1.67/1.87 (~trans(s99, s10)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6207, 13753])).
% 1.67/1.87 tff(13779,plain,
% 1.67/1.87 (~trans(s99, s62)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8311, 13599])).
% 1.67/1.87 tff(13780,plain,
% 1.67/1.87 (~trans(s99, s56)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8322, 13605])).
% 1.67/1.87 tff(13781,plain,
% 1.67/1.87 (~trans(s99, s50)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8336, 13611])).
% 1.67/1.87 tff(13782,plain,
% 1.67/1.87 (~trans(s99, s12)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6218, 13751])).
% 1.67/1.87 tff(13783,plain,
% 1.67/1.87 (~trans(s99, s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8749, 13596])).
% 1.67/1.87 tff(13784,plain,
% 1.67/1.87 (~trans(s99, s51)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8348, 13610])).
% 1.67/1.87 tff(13785,plain,
% 1.67/1.87 (~trans(s99, s18)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6229, 13734])).
% 1.67/1.87 tff(13786,plain,
% 1.67/1.87 (~trans(s99, s45)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6240, 13616])).
% 1.67/1.87 tff(13787,plain,
% 1.67/1.87 (~trans(s99, s9)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6131, 13754])).
% 1.67/1.87 tff(13788,plain,
% 1.67/1.87 (~trans(s99, s26)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6251, 13726])).
% 1.67/1.87 tff(13789,plain,
% 1.67/1.87 (~trans(s99, s8)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6273, 13755])).
% 1.67/1.87 tff(13790,plain,
% 1.67/1.87 (~trans(s99, s35)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6284, 13717])).
% 1.67/1.87 tff(13791,plain,
% 1.67/1.87 (~trans(s99, s30)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6295, 13722])).
% 1.67/1.87 tff(13792,plain,
% 1.67/1.87 (~always3(s1)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2098, 13761])).
% 1.67/1.87 tff(13793,plain,
% 1.67/1.87 (~always3(s0)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2114, 13792])).
% 1.67/1.87 tff(13794,plain,
% 1.67/1.87 (~trans(s99, s0)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6308, 13793])).
% 1.67/1.87 tff(13795,plain,
% 1.67/1.87 (~trans(s99, s3)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6319, 13760])).
% 1.67/1.87 tff(13796,plain,
% 1.67/1.87 (~trans(s99, s23)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6330, 13729])).
% 1.67/1.87 tff(13797,plain,
% 1.67/1.87 (~trans(s99, s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8816, 13595])).
% 1.67/1.87 tff(13798,plain,
% 1.67/1.87 (~trans(s99, s27)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6341, 13725])).
% 1.67/1.87 tff(13799,plain,
% 1.67/1.87 (~trans(s99, s24)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6352, 13728])).
% 1.67/1.87 tff(13800,plain,
% 1.67/1.87 (~trans(s99, s52)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8370, 13609])).
% 1.67/1.87 tff(13801,plain,
% 1.67/1.87 (~trans(s99, s55)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8381, 13606])).
% 1.67/1.87 tff(13802,plain,
% 1.67/1.87 (~trans(s99, s32)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6363, 13720])).
% 1.67/1.87 tff(13803,plain,
% 1.67/1.87 (~trans(s99, s14)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6262, 13749])).
% 1.67/1.87 tff(13804,plain,
% 1.67/1.87 (~trans(s99, s57)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8394, 13604])).
% 1.67/1.87 tff(13805,plain,
% 1.67/1.87 (~trans(s99, s17)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6385, 13735])).
% 1.67/1.87 tff(13806,plain,
% 1.67/1.87 (~trans(s99, s60)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8406, 13601])).
% 1.67/1.87 tff(13807,plain,
% 1.67/1.87 (~trans(s99, s7)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6396, 13756])).
% 1.67/1.87 tff(13808,plain,
% 1.67/1.87 (~trans(s99, s59)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8418, 13602])).
% 1.67/1.87 tff(13809,plain,
% 1.67/1.87 (~trans(s99, s1)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6407, 13792])).
% 1.67/1.87 tff(13810,plain,
% 1.67/1.87 (~trans(s99, s29)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6418, 13723])).
% 1.67/1.87 tff(13811,plain,
% 1.67/1.87 (~trans(s99, s40)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6429, 13621])).
% 1.67/1.87 tff(13812,plain,
% 1.67/1.87 (~trans(s99, s16)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6374, 13736])).
% 1.67/1.87 tff(13813,plain,
% 1.67/1.87 (~trans(s99, s49)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8440, 13612])).
% 1.67/1.87 tff(13814,plain,
% 1.67/1.87 (~trans(s99, s21)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6440, 13731])).
% 1.67/1.87 tff(13815,plain,
% 1.67/1.87 (~trans(s99, s63)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8855, 13598])).
% 1.67/1.87 tff(13816,plain,
% 1.67/1.87 (~trans(s99, s64)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[8866, 13597])).
% 1.67/1.87 tff(13817,plain,
% 1.67/1.87 (~trans(s99, s31)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6451, 13721])).
% 1.67/1.87 tff(13818,plain,
% 1.67/1.87 (~trans(s99, s6)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6473, 13757])).
% 1.67/1.87 tff(13819,plain,
% 1.67/1.87 (~trans(s99, s46)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6484, 13615])).
% 1.67/1.87 tff(13820,plain,
% 1.67/1.87 (~trans(s99, s33)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[6462, 13719])).
% 1.67/1.87 tff(13821,assumption,(until5(s66)), introduced(assumption)).
% 1.67/1.87 tff(13822,plain,
% 1.67/1.87 (~always3(s67)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1291, 8754])).
% 1.67/1.87 tff(13823,plain,
% 1.67/1.87 (~node4(s67)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1295, 595, 13822])).
% 1.67/1.87 tff(13824,plain,
% 1.67/1.87 (~always3(s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1320, 13822])).
% 1.67/1.87 tff(13825,plain,
% 1.67/1.87 (~node4(s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1324, 595, 13824])).
% 1.67/1.87 tff(13826,plain,
% 1.67/1.87 (xuntil6(s66) | node4(s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1331, 614, 13821])).
% 1.67/1.87 tff(13827,plain,
% 1.67/1.87 (xuntil6(s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13826, 13825])).
% 1.67/1.87 tff(13828,plain,
% 1.67/1.87 (until5(s67)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1311, 13827])).
% 1.67/1.87 tff(13829,plain,
% 1.67/1.87 (xuntil6(s67)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1302, 614, 13828, 13823])).
% 1.67/1.87 tff(13830,plain,
% 1.67/1.87 (until5(s68)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1282, 13829])).
% 1.67/1.87 tff(13831,assumption,(~xuntil6(s68)), introduced(assumption)).
% 1.67/1.87 tff(13832,plain,
% 1.67/1.87 (node4(s68) | (~until5(s68))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1273, 614, 13831])).
% 1.67/1.87 tff(13833,plain,
% 1.67/1.87 (node4(s68)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13832, 13830])).
% 1.67/1.87 tff(13834,plain,
% 1.67/1.87 ($false),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1266, 595, 8754, 13833])).
% 1.67/1.87 tff(13835,plain,(always3(s68) | xuntil6(s68) | (~until5(s66))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.87 tff(13836,plain,
% 1.67/1.87 (xuntil6(s68)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13835, 8754, 13821])).
% 1.67/1.87 tff(13837,plain,
% 1.67/1.87 (until5(s69)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1253, 13836])).
% 1.67/1.87 tff(13838,assumption,(~xuntil6(s69)), introduced(assumption)).
% 1.67/1.87 tff(13839,plain,
% 1.67/1.87 (~always3(s68)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1262, 8724])).
% 1.67/1.87 tff(13840,plain,
% 1.67/1.87 (~node4(s68)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1266, 595, 13839])).
% 1.67/1.87 tff(13841,plain,
% 1.67/1.87 (~node4(s69)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1237, 595, 8724])).
% 1.67/1.87 tff(13842,plain,
% 1.67/1.87 (node4(s69) | (~until5(s69))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1244, 614, 13838])).
% 1.67/1.87 tff(13843,plain,
% 1.67/1.87 (~until5(s69)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13842, 13841])).
% 1.67/1.87 tff(13844,plain,
% 1.67/1.87 (~xuntil6(s68)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1253, 13843])).
% 1.67/1.87 tff(13845,plain,
% 1.67/1.87 (~until5(s68)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1273, 614, 13844, 13840])).
% 1.67/1.87 tff(13846,plain,
% 1.67/1.87 (~xuntil6(s67)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1282, 13845])).
% 1.67/1.87 tff(13847,plain,
% 1.67/1.87 (~always3(s67)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1291, 13839])).
% 1.67/1.87 tff(13848,plain,
% 1.67/1.87 (~node4(s67)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1295, 595, 13847])).
% 1.67/1.87 tff(13849,plain,
% 1.67/1.87 (xuntil6(s67) | (~until5(s67))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1302, 614, 13848])).
% 1.67/1.87 tff(13850,plain,
% 1.67/1.87 (~until5(s67)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13849, 13846])).
% 1.67/1.87 tff(13851,plain,
% 1.67/1.87 (~xuntil6(s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1311, 13850])).
% 1.67/1.87 tff(13852,plain,
% 1.67/1.87 (~always3(s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1320, 13847])).
% 1.67/1.87 tff(13853,plain,
% 1.67/1.87 (~node4(s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1324, 595, 13852])).
% 1.67/1.87 tff(13854,plain,
% 1.67/1.87 (xuntil6(s66) | (~until5(s66))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1331, 614, 13853])).
% 1.67/1.87 tff(13855,plain,
% 1.67/1.87 (~until5(s66)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13854, 13851])).
% 1.67/1.87 tff(13856,plain,
% 1.67/1.87 (~xuntil6(s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1340, 13855])).
% 1.67/1.87 tff(13857,plain,
% 1.67/1.87 (~always3(s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1349, 13852])).
% 1.67/1.87 tff(13858,plain,
% 1.67/1.87 (~node4(s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1353, 595, 13857])).
% 1.67/1.87 tff(13859,plain,
% 1.67/1.87 (xuntil6(s65) | (~until5(s65))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1360, 614, 13858])).
% 1.67/1.87 tff(13860,plain,
% 1.67/1.87 (~until5(s65)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13859, 13856])).
% 1.67/1.87 tff(13861,plain,
% 1.67/1.87 (~xuntil6(s64)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1369, 13860])).
% 1.67/1.87 tff(13862,plain,
% 1.67/1.87 (~always3(s64)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1378, 13857])).
% 1.67/1.87 tff(13863,plain,
% 1.67/1.87 (~node4(s64)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1382, 595, 13862])).
% 1.67/1.87 tff(13864,plain,
% 1.67/1.87 (xuntil6(s64) | (~until5(s64))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1389, 614, 13863])).
% 1.67/1.87 tff(13865,plain,
% 1.67/1.87 (~until5(s64)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13864, 13861])).
% 1.67/1.87 tff(13866,plain,
% 1.67/1.87 (~xuntil6(s63)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1398, 13865])).
% 1.67/1.87 tff(13867,plain,
% 1.67/1.87 (~always3(s63)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1407, 13862])).
% 1.67/1.87 tff(13868,plain,
% 1.67/1.87 (~node4(s63)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1411, 595, 13867])).
% 1.67/1.87 tff(13869,plain,
% 1.67/1.87 (xuntil6(s63) | (~until5(s63))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1418, 614, 13868])).
% 1.67/1.87 tff(13870,plain,
% 1.67/1.87 (~until5(s63)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13869, 13866])).
% 1.67/1.87 tff(13871,plain,
% 1.67/1.87 (~xuntil6(s62)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2887, 13870])).
% 1.67/1.87 tff(13872,plain,
% 1.67/1.87 (~always3(s62)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1431, 13867])).
% 1.67/1.87 tff(13873,plain,
% 1.67/1.87 (~node4(s62)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2874, 595, 13872])).
% 1.67/1.87 tff(13874,plain,
% 1.67/1.87 (xuntil6(s62) | (~until5(s62))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2881, 614, 13873])).
% 1.67/1.87 tff(13875,plain,
% 1.67/1.87 (~until5(s62)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13874, 13871])).
% 1.67/1.87 tff(13876,plain,
% 1.67/1.87 (~xuntil6(s61)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2870, 13875])).
% 1.67/1.87 tff(13877,plain,
% 1.67/1.87 (~always3(s61)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1443, 13872])).
% 1.67/1.87 tff(13878,plain,
% 1.67/1.87 (~node4(s61)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2857, 595, 13877])).
% 1.67/1.87 tff(13879,plain,
% 1.67/1.87 (xuntil6(s61) | (~until5(s61))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2864, 614, 13878])).
% 1.67/1.87 tff(13880,plain,
% 1.67/1.87 (~until5(s61)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13879, 13876])).
% 1.67/1.87 tff(13881,plain,
% 1.67/1.87 (~xuntil6(s60)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2853, 13880])).
% 1.67/1.87 tff(13882,plain,
% 1.67/1.87 (~always3(s60)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1455, 13877])).
% 1.67/1.87 tff(13883,plain,
% 1.67/1.87 (~node4(s60)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2840, 595, 13882])).
% 1.67/1.87 tff(13884,plain,
% 1.67/1.87 (xuntil6(s60) | (~until5(s60))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2847, 614, 13883])).
% 1.67/1.87 tff(13885,plain,
% 1.67/1.87 (~until5(s60)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13884, 13881])).
% 1.67/1.87 tff(13886,plain,
% 1.67/1.87 (~xuntil6(s59)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2836, 13885])).
% 1.67/1.87 tff(13887,plain,
% 1.67/1.87 (~always3(s59)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1467, 13882])).
% 1.67/1.87 tff(13888,plain,
% 1.67/1.87 (~node4(s59)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2823, 595, 13887])).
% 1.67/1.87 tff(13889,plain,
% 1.67/1.87 (xuntil6(s59) | (~until5(s59))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2830, 614, 13888])).
% 1.67/1.87 tff(13890,plain,
% 1.67/1.87 (~until5(s59)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13889, 13886])).
% 1.67/1.87 tff(13891,plain,
% 1.67/1.87 (~xuntil6(s58)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2819, 13890])).
% 1.67/1.87 tff(13892,plain,
% 1.67/1.87 (~always3(s58)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1479, 13887])).
% 1.67/1.87 tff(13893,plain,
% 1.67/1.87 (~node4(s58)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2806, 595, 13892])).
% 1.67/1.87 tff(13894,plain,
% 1.67/1.87 (xuntil6(s58) | (~until5(s58))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2813, 614, 13893])).
% 1.67/1.87 tff(13895,plain,
% 1.67/1.87 (~until5(s58)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13894, 13891])).
% 1.67/1.87 tff(13896,plain,
% 1.67/1.87 (~xuntil6(s57)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2802, 13895])).
% 1.67/1.87 tff(13897,plain,
% 1.67/1.87 (~always3(s57)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1491, 13892])).
% 1.67/1.87 tff(13898,plain,
% 1.67/1.87 (~node4(s57)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2789, 595, 13897])).
% 1.67/1.87 tff(13899,plain,
% 1.67/1.87 (xuntil6(s57) | (~until5(s57))),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2796, 614, 13898])).
% 1.67/1.87 tff(13900,plain,
% 1.67/1.87 (~until5(s57)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[13899, 13896])).
% 1.67/1.87 tff(13901,plain,
% 1.67/1.87 (~always3(s56)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1503, 13897])).
% 1.67/1.87 tff(13902,plain,
% 1.67/1.87 (~always3(s55)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1515, 13901])).
% 1.67/1.87 tff(13903,plain,
% 1.67/1.87 (~always3(s54)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1527, 13902])).
% 1.67/1.87 tff(13904,plain,
% 1.67/1.87 (~always3(s53)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1539, 13903])).
% 1.67/1.87 tff(13905,plain,
% 1.67/1.87 (~always3(s52)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1551, 13904])).
% 1.67/1.87 tff(13906,plain,
% 1.67/1.87 (~always3(s51)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1563, 13905])).
% 1.67/1.87 tff(13907,plain,
% 1.67/1.87 (~always3(s50)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1575, 13906])).
% 1.67/1.87 tff(13908,plain,
% 1.67/1.87 (~always3(s49)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1587, 13907])).
% 1.67/1.87 tff(13909,plain,
% 1.67/1.87 (~always3(s48)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[1599, 13908])).
% 1.67/1.87 tff(13910,plain,
% 1.67/1.87 (~always3(s47)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[54, 13909])).
% 1.67/1.87 tff(13911,plain,
% 1.67/1.87 (~always3(s46)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[66, 13910])).
% 1.67/1.87 tff(13912,plain,
% 1.67/1.87 (~always3(s45)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[78, 13911])).
% 1.67/1.87 tff(13913,plain,
% 1.67/1.87 (~node4(s45)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2585, 595, 13912])).
% 1.67/1.87 tff(13914,plain,
% 1.67/1.87 (~always3(s44)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[90, 13912])).
% 1.67/1.87 tff(13915,plain,
% 1.67/1.87 (~node4(s44)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[2568, 595, 13914])).
% 1.67/1.87 tff(13916,plain,
% 1.67/1.87 (~always3(s43)),
% 1.67/1.87 inference(unit_resolution,[status(thm)],[102, 13914])).
% 1.67/1.88 tff(13917,plain,
% 1.67/1.88 (xuntil6(s43)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[8147, 13916, 8122])).
% 1.67/1.88 tff(13918,plain,
% 1.67/1.88 (until5(s44)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2564, 13917])).
% 1.67/1.88 tff(13919,plain,
% 1.67/1.88 (xuntil6(s44) | node4(s44)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2575, 614, 13918])).
% 1.67/1.88 tff(13920,plain,
% 1.67/1.88 (xuntil6(s44)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13919, 13915])).
% 1.67/1.88 tff(13921,plain,
% 1.67/1.88 (until5(s45)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2581, 13920])).
% 1.67/1.88 tff(13922,plain,
% 1.67/1.88 (xuntil6(s45)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2592, 614, 13921, 13913])).
% 1.67/1.88 tff(13923,plain,
% 1.67/1.88 (until5(s46)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2598, 13922])).
% 1.67/1.88 tff(13924,plain,
% 1.67/1.88 (~node4(s46)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2602, 595, 13911])).
% 1.67/1.88 tff(13925,plain,
% 1.67/1.88 (xuntil6(s46) | (~until5(s46))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2609, 614, 13924])).
% 1.67/1.88 tff(13926,plain,
% 1.67/1.88 (xuntil6(s46)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13925, 13923])).
% 1.67/1.88 tff(13927,plain,
% 1.67/1.88 (until5(s47)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2615, 13926])).
% 1.67/1.88 tff(13928,plain,
% 1.67/1.88 (~node4(s47)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2619, 595, 13910])).
% 1.67/1.88 tff(13929,plain,
% 1.67/1.88 (xuntil6(s47) | (~until5(s47))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2626, 614, 13928])).
% 1.67/1.88 tff(13930,plain,
% 1.67/1.88 (xuntil6(s47)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13929, 13927])).
% 1.67/1.88 tff(13931,plain,
% 1.67/1.88 (until5(s48)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2632, 13930])).
% 1.67/1.88 tff(13932,plain,
% 1.67/1.88 (~node4(s48)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2636, 595, 13909])).
% 1.67/1.88 tff(13933,plain,
% 1.67/1.88 (xuntil6(s48) | (~until5(s48))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2643, 614, 13932])).
% 1.67/1.88 tff(13934,plain,
% 1.67/1.88 (xuntil6(s48)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13933, 13931])).
% 1.67/1.88 tff(13935,plain,
% 1.67/1.88 (until5(s49)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2649, 13934])).
% 1.67/1.88 tff(13936,plain,
% 1.67/1.88 (~node4(s49)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2653, 595, 13908])).
% 1.67/1.88 tff(13937,plain,
% 1.67/1.88 (xuntil6(s49) | (~until5(s49))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2660, 614, 13936])).
% 1.67/1.88 tff(13938,plain,
% 1.67/1.88 (xuntil6(s49)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13937, 13935])).
% 1.67/1.88 tff(13939,plain,
% 1.67/1.88 (until5(s50)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2666, 13938])).
% 1.67/1.88 tff(13940,plain,
% 1.67/1.88 (~node4(s50)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2670, 595, 13907])).
% 1.67/1.88 tff(13941,plain,
% 1.67/1.88 (xuntil6(s50) | (~until5(s50))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2677, 614, 13940])).
% 1.67/1.88 tff(13942,plain,
% 1.67/1.88 (xuntil6(s50)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13941, 13939])).
% 1.67/1.88 tff(13943,plain,
% 1.67/1.88 (until5(s51)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2683, 13942])).
% 1.67/1.88 tff(13944,plain,
% 1.67/1.88 (~node4(s51)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2687, 595, 13906])).
% 1.67/1.88 tff(13945,plain,
% 1.67/1.88 (xuntil6(s51) | (~until5(s51))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2694, 614, 13944])).
% 1.67/1.88 tff(13946,plain,
% 1.67/1.88 (xuntil6(s51)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13945, 13943])).
% 1.67/1.88 tff(13947,plain,
% 1.67/1.88 (until5(s52)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2700, 13946])).
% 1.67/1.88 tff(13948,plain,
% 1.67/1.88 (~node4(s52)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2704, 595, 13905])).
% 1.67/1.88 tff(13949,plain,
% 1.67/1.88 (xuntil6(s52) | (~until5(s52))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2711, 614, 13948])).
% 1.67/1.88 tff(13950,plain,
% 1.67/1.88 (xuntil6(s52)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13949, 13947])).
% 1.67/1.88 tff(13951,plain,
% 1.67/1.88 (until5(s53)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2717, 13950])).
% 1.67/1.88 tff(13952,plain,
% 1.67/1.88 (~node4(s53)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2721, 595, 13904])).
% 1.67/1.88 tff(13953,plain,
% 1.67/1.88 (xuntil6(s53) | (~until5(s53))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2728, 614, 13952])).
% 1.67/1.88 tff(13954,plain,
% 1.67/1.88 (xuntil6(s53)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13953, 13951])).
% 1.67/1.88 tff(13955,plain,
% 1.67/1.88 (until5(s54)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2734, 13954])).
% 1.67/1.88 tff(13956,plain,
% 1.67/1.88 (~node4(s54)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2738, 595, 13903])).
% 1.67/1.88 tff(13957,plain,
% 1.67/1.88 (xuntil6(s54) | (~until5(s54))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2745, 614, 13956])).
% 1.67/1.88 tff(13958,plain,
% 1.67/1.88 (xuntil6(s54)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13957, 13955])).
% 1.67/1.88 tff(13959,plain,
% 1.67/1.88 (until5(s55)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2751, 13958])).
% 1.67/1.88 tff(13960,plain,
% 1.67/1.88 (~node4(s55)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2755, 595, 13902])).
% 1.67/1.88 tff(13961,plain,
% 1.67/1.88 (xuntil6(s55) | (~until5(s55))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2762, 614, 13960])).
% 1.67/1.88 tff(13962,plain,
% 1.67/1.88 (xuntil6(s55)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13961, 13959])).
% 1.67/1.88 tff(13963,plain,
% 1.67/1.88 (until5(s56)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2768, 13962])).
% 1.67/1.88 tff(13964,plain,
% 1.67/1.88 (~node4(s56)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2772, 595, 13901])).
% 1.67/1.88 tff(13965,plain,
% 1.67/1.88 (xuntil6(s56) | (~until5(s56))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2779, 614, 13964])).
% 1.67/1.88 tff(13966,plain,
% 1.67/1.88 (xuntil6(s56)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13965, 13963])).
% 1.67/1.88 tff(13967,plain,
% 1.67/1.88 ($false),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2785, 13966, 13900])).
% 1.67/1.88 tff(13968,plain,(always3(s69) | xuntil6(s69) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.88 tff(13969,plain,
% 1.67/1.88 (always3(s69)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13968, 13838, 8122])).
% 1.67/1.88 tff(13970,plain,
% 1.67/1.88 (always3(s70)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1233, 13969])).
% 1.67/1.88 tff(13971,plain,
% 1.67/1.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s70)) | (~m_main_v_state(s70, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s70)) | (~m_main_v_state(s70, c_busy)))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(13972,plain,
% 1.67/1.88 (((~m_main_v_state(s70, c_busy)) | (~always3(s70))) <=> ((~always3(s70)) | (~m_main_v_state(s70, c_busy)))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(13973,plain,
% 1.67/1.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s70, c_busy)) | (~always3(s70)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s70)) | (~m_main_v_state(s70, c_busy))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[13972])).
% 1.67/1.88 tff(13974,plain,
% 1.67/1.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s70, c_busy)) | (~always3(s70)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s70)) | (~m_main_v_state(s70, c_busy)))),
% 1.67/1.88 inference(transitivity,[status(thm)],[13973, 13971])).
% 1.67/1.88 tff(13975,plain,
% 1.67/1.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s70, c_busy)) | (~always3(s70)))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(13976,plain,
% 1.67/1.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s70)) | (~m_main_v_state(s70, c_busy))),
% 1.67/1.88 inference(modus_ponens,[status(thm)],[13975, 13974])).
% 1.67/1.88 tff(13977,plain,
% 1.67/1.88 (~m_main_v_state(s70, c_busy)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13976, 3154, 13970])).
% 1.67/1.88 tff(13978,assumption,(until5(s69)), introduced(assumption)).
% 1.67/1.88 tff(13979,plain,
% 1.67/1.88 (xuntil6(s69) | node4(s69)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1244, 614, 13978])).
% 1.67/1.88 tff(13980,plain,
% 1.67/1.88 (node4(s69)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13979, 13838])).
% 1.67/1.88 tff(13981,plain,
% 1.67/1.88 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s69) | (~node4(s69)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s69) | (~node4(s69)))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(13982,plain,
% 1.67/1.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s69) | (~node4(s69)))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(13983,plain,
% 1.67/1.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s69) | (~node4(s69))),
% 1.67/1.88 inference(modus_ponens,[status(thm)],[13982, 13981])).
% 1.67/1.88 tff(13984,plain,
% 1.67/1.88 (m_main_v_request(s69)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13983, 3141, 13980])).
% 1.67/1.88 tff(13985,plain,
% 1.67/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s69, s70)) | node2(s69, s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s69, s70)) | node2(s69, s70))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(13986,plain,
% 1.67/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s69, s70)) | node2(s69, s70))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(13987,plain,
% 1.67/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s69, s70)) | node2(s69, s70)),
% 1.67/1.88 inference(modus_ponens,[status(thm)],[13986, 13985])).
% 1.67/1.88 tff(13988,plain,
% 1.67/1.88 (node2(s69, s70)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13987, 7, 1229])).
% 1.67/1.88 tff(13989,plain,
% 1.67/1.88 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s69, c_ready)) | (~node2(s69, s70)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s69)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s69, c_ready)) | (~node2(s69, s70)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s69)))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(13990,plain,
% 1.67/1.88 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s69, c_ready)) | (~node2(s69, s70)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s69)))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(13991,plain,
% 1.67/1.88 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s69, c_ready)) | (~node2(s69, s70)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s69))),
% 1.67/1.88 inference(modus_ponens,[status(thm)],[13990, 13989])).
% 1.67/1.88 tff(13992,plain,
% 1.67/1.88 ((~m_main_v_state(s69, c_ready)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s69))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13991, 3175, 13988])).
% 1.67/1.88 tff(13993,plain,
% 1.67/1.88 (~m_main_v_state(s69, c_ready)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13992, 13984, 13977])).
% 1.67/1.88 tff(13994,plain,
% 1.67/1.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s69)) | (~m_main_v_state(s69, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s69)) | (~m_main_v_state(s69, c_busy)))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(13995,plain,
% 1.67/1.88 (((~m_main_v_state(s69, c_busy)) | (~always3(s69))) <=> ((~always3(s69)) | (~m_main_v_state(s69, c_busy)))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(13996,plain,
% 1.67/1.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s69, c_busy)) | (~always3(s69)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s69)) | (~m_main_v_state(s69, c_busy))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[13995])).
% 1.67/1.88 tff(13997,plain,
% 1.67/1.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s69, c_busy)) | (~always3(s69)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s69)) | (~m_main_v_state(s69, c_busy)))),
% 1.67/1.88 inference(transitivity,[status(thm)],[13996, 13994])).
% 1.67/1.88 tff(13998,plain,
% 1.67/1.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s69, c_busy)) | (~always3(s69)))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(13999,plain,
% 1.67/1.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s69)) | (~m_main_v_state(s69, c_busy))),
% 1.67/1.88 inference(modus_ponens,[status(thm)],[13998, 13997])).
% 1.67/1.88 tff(14000,plain,
% 1.67/1.88 (~m_main_v_state(s69, c_busy)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[13999, 3154, 13969])).
% 1.67/1.88 tff(14001,plain,
% 1.67/1.88 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s69, c_busy) | m_main_v_state(s69, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s69, c_busy) | m_main_v_state(s69, c_ready))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(14002,plain,
% 1.67/1.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s69, c_busy) | m_main_v_state(s69, c_ready))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(14003,plain,
% 1.67/1.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s69, c_busy) | m_main_v_state(s69, c_ready)),
% 1.67/1.88 inference(modus_ponens,[status(thm)],[14002, 14001])).
% 1.67/1.88 tff(14004,plain,
% 1.67/1.88 ($false),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14003, 19, 14000, 13993])).
% 1.67/1.88 tff(14005,plain,(xuntil6(s69) | (~until5(s69)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.88 tff(14006,plain,
% 1.67/1.88 (xuntil6(s69)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14005, 13837, 8122])).
% 1.67/1.88 tff(14007,plain,
% 1.67/1.88 (until5(s70)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1224, 14006])).
% 1.67/1.88 tff(14008,plain,
% 1.67/1.88 (~trans(s99, s68)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[8763, 8754])).
% 1.67/1.88 tff(14009,assumption,(until5(s70)), introduced(assumption)).
% 1.67/1.88 tff(14010,plain,
% 1.67/1.88 (~node4(s70)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1208, 595, 8833])).
% 1.67/1.88 tff(14011,plain,
% 1.67/1.88 (xuntil6(s70) | node4(s70)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1215, 614, 14009])).
% 1.67/1.88 tff(14012,plain,
% 1.67/1.88 (xuntil6(s70)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14011, 14010])).
% 1.67/1.88 tff(14013,plain,
% 1.67/1.88 (until5(s71)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1195, 14012])).
% 1.67/1.88 tff(14014,assumption,(~xuntil6(s71)), introduced(assumption)).
% 1.67/1.88 tff(14015,plain,
% 1.67/1.88 (~always3(s70)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1204, 8796])).
% 1.67/1.88 tff(14016,plain,
% 1.67/1.88 (~node4(s70)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1208, 595, 14015])).
% 1.67/1.88 tff(14017,plain,
% 1.67/1.88 (~node4(s71)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1179, 595, 8796])).
% 1.67/1.88 tff(14018,plain,
% 1.67/1.88 (node4(s71) | (~until5(s71))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1186, 614, 14014])).
% 1.67/1.88 tff(14019,plain,
% 1.67/1.88 (~until5(s71)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14018, 14017])).
% 1.67/1.88 tff(14020,plain,
% 1.67/1.88 (~xuntil6(s70)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1195, 14019])).
% 1.67/1.88 tff(14021,plain,
% 1.67/1.88 (~until5(s70)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1215, 614, 14020, 14016])).
% 1.67/1.88 tff(14022,plain,
% 1.67/1.88 (~xuntil6(s69)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1224, 14021])).
% 1.67/1.88 tff(14023,plain,
% 1.67/1.88 (~always3(s69)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1233, 14015])).
% 1.67/1.88 tff(14024,plain,
% 1.67/1.88 (~node4(s69)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1237, 595, 14023])).
% 1.67/1.88 tff(14025,plain,
% 1.67/1.88 (xuntil6(s69) | (~until5(s69))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1244, 614, 14024])).
% 1.67/1.88 tff(14026,plain,
% 1.67/1.88 (~until5(s69)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14025, 14022])).
% 1.67/1.88 tff(14027,plain,
% 1.67/1.88 (~xuntil6(s68)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1253, 14026])).
% 1.67/1.88 tff(14028,plain,
% 1.67/1.88 (~always3(s68)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1262, 14023])).
% 1.67/1.88 tff(14029,plain,
% 1.67/1.88 (~node4(s68)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1266, 595, 14028])).
% 1.67/1.88 tff(14030,plain,
% 1.67/1.88 (xuntil6(s68) | (~until5(s68))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1273, 614, 14029])).
% 1.67/1.88 tff(14031,plain,
% 1.67/1.88 (~until5(s68)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14030, 14027])).
% 1.67/1.88 tff(14032,plain,
% 1.67/1.88 (~xuntil6(s67)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1282, 14031])).
% 1.67/1.88 tff(14033,plain,
% 1.67/1.88 (~always3(s67)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1291, 14028])).
% 1.67/1.88 tff(14034,plain,
% 1.67/1.88 (~node4(s67)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1295, 595, 14033])).
% 1.67/1.88 tff(14035,plain,
% 1.67/1.88 (xuntil6(s67) | (~until5(s67))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1302, 614, 14034])).
% 1.67/1.88 tff(14036,plain,
% 1.67/1.88 (~until5(s67)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14035, 14032])).
% 1.67/1.88 tff(14037,plain,
% 1.67/1.88 (~xuntil6(s66)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1311, 14036])).
% 1.67/1.88 tff(14038,plain,
% 1.67/1.88 (~always3(s66)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1320, 14033])).
% 1.67/1.88 tff(14039,plain,
% 1.67/1.88 (~node4(s66)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1324, 595, 14038])).
% 1.67/1.88 tff(14040,plain,
% 1.67/1.88 (xuntil6(s66) | (~until5(s66))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1331, 614, 14039])).
% 1.67/1.88 tff(14041,plain,
% 1.67/1.88 (~until5(s66)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14040, 14037])).
% 1.67/1.88 tff(14042,plain,
% 1.67/1.88 (~xuntil6(s65)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1340, 14041])).
% 1.67/1.88 tff(14043,plain,
% 1.67/1.88 (~always3(s65)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1349, 14038])).
% 1.67/1.88 tff(14044,plain,
% 1.67/1.88 (~node4(s65)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1353, 595, 14043])).
% 1.67/1.88 tff(14045,plain,
% 1.67/1.88 (xuntil6(s65) | (~until5(s65))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1360, 614, 14044])).
% 1.67/1.88 tff(14046,plain,
% 1.67/1.88 (~until5(s65)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14045, 14042])).
% 1.67/1.88 tff(14047,plain,
% 1.67/1.88 (~xuntil6(s64)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1369, 14046])).
% 1.67/1.88 tff(14048,plain,
% 1.67/1.88 (~always3(s64)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1378, 14043])).
% 1.67/1.88 tff(14049,plain,
% 1.67/1.88 (~node4(s64)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1382, 595, 14048])).
% 1.67/1.88 tff(14050,plain,
% 1.67/1.88 (xuntil6(s64) | (~until5(s64))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1389, 614, 14049])).
% 1.67/1.88 tff(14051,plain,
% 1.67/1.88 (~until5(s64)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14050, 14047])).
% 1.67/1.88 tff(14052,plain,
% 1.67/1.88 (~xuntil6(s63)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1398, 14051])).
% 1.67/1.88 tff(14053,plain,
% 1.67/1.88 (~always3(s63)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1407, 14048])).
% 1.67/1.88 tff(14054,plain,
% 1.67/1.88 (~node4(s63)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1411, 595, 14053])).
% 1.67/1.88 tff(14055,plain,
% 1.67/1.88 (xuntil6(s63) | (~until5(s63))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1418, 614, 14054])).
% 1.67/1.88 tff(14056,plain,
% 1.67/1.88 (~until5(s63)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14055, 14052])).
% 1.67/1.88 tff(14057,plain,
% 1.67/1.88 (~xuntil6(s62)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2887, 14056])).
% 1.67/1.88 tff(14058,plain,
% 1.67/1.88 (~always3(s62)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1431, 14053])).
% 1.67/1.88 tff(14059,plain,
% 1.67/1.88 (~node4(s62)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2874, 595, 14058])).
% 1.67/1.88 tff(14060,plain,
% 1.67/1.88 (xuntil6(s62) | (~until5(s62))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2881, 614, 14059])).
% 1.67/1.88 tff(14061,plain,
% 1.67/1.88 (~until5(s62)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14060, 14057])).
% 1.67/1.88 tff(14062,plain,
% 1.67/1.88 (~xuntil6(s61)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2870, 14061])).
% 1.67/1.88 tff(14063,plain,
% 1.67/1.88 (~always3(s61)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1443, 14058])).
% 1.67/1.88 tff(14064,plain,
% 1.67/1.88 (~node4(s61)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2857, 595, 14063])).
% 1.67/1.88 tff(14065,plain,
% 1.67/1.88 (xuntil6(s61) | (~until5(s61))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2864, 614, 14064])).
% 1.67/1.88 tff(14066,plain,
% 1.67/1.88 (~until5(s61)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14065, 14062])).
% 1.67/1.88 tff(14067,plain,
% 1.67/1.88 (~xuntil6(s60)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2853, 14066])).
% 1.67/1.88 tff(14068,plain,
% 1.67/1.88 (~always3(s60)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1455, 14063])).
% 1.67/1.88 tff(14069,plain,
% 1.67/1.88 (~node4(s60)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2840, 595, 14068])).
% 1.67/1.88 tff(14070,plain,
% 1.67/1.88 (xuntil6(s60) | (~until5(s60))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2847, 614, 14069])).
% 1.67/1.88 tff(14071,plain,
% 1.67/1.88 (~until5(s60)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14070, 14067])).
% 1.67/1.88 tff(14072,plain,
% 1.67/1.88 (~xuntil6(s59)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2836, 14071])).
% 1.67/1.88 tff(14073,plain,
% 1.67/1.88 (~always3(s59)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1467, 14068])).
% 1.67/1.88 tff(14074,plain,
% 1.67/1.88 (~node4(s59)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2823, 595, 14073])).
% 1.67/1.88 tff(14075,plain,
% 1.67/1.88 (xuntil6(s59) | (~until5(s59))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2830, 614, 14074])).
% 1.67/1.88 tff(14076,plain,
% 1.67/1.88 (~until5(s59)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14075, 14072])).
% 1.67/1.88 tff(14077,plain,
% 1.67/1.88 (~xuntil6(s58)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2819, 14076])).
% 1.67/1.88 tff(14078,plain,
% 1.67/1.88 (~always3(s58)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1479, 14073])).
% 1.67/1.88 tff(14079,plain,
% 1.67/1.88 (~node4(s58)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2806, 595, 14078])).
% 1.67/1.88 tff(14080,plain,
% 1.67/1.88 (xuntil6(s58) | (~until5(s58))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2813, 614, 14079])).
% 1.67/1.88 tff(14081,plain,
% 1.67/1.88 (~until5(s58)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14080, 14077])).
% 1.67/1.88 tff(14082,plain,
% 1.67/1.88 (~always3(s57)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1491, 14078])).
% 1.67/1.88 tff(14083,plain,
% 1.67/1.88 (~always3(s56)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1503, 14082])).
% 1.67/1.88 tff(14084,plain,
% 1.67/1.88 (~always3(s55)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1515, 14083])).
% 1.67/1.88 tff(14085,plain,
% 1.67/1.88 (~always3(s54)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1527, 14084])).
% 1.67/1.88 tff(14086,plain,
% 1.67/1.88 (~always3(s53)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1539, 14085])).
% 1.67/1.88 tff(14087,plain,
% 1.67/1.88 (~always3(s52)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1551, 14086])).
% 1.67/1.88 tff(14088,plain,
% 1.67/1.88 (~always3(s51)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1563, 14087])).
% 1.67/1.88 tff(14089,plain,
% 1.67/1.88 (~always3(s50)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1575, 14088])).
% 1.67/1.88 tff(14090,plain,
% 1.67/1.88 (~always3(s49)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1587, 14089])).
% 1.67/1.88 tff(14091,plain,
% 1.67/1.88 (~always3(s48)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1599, 14090])).
% 1.67/1.88 tff(14092,plain,
% 1.67/1.88 (~always3(s47)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[54, 14091])).
% 1.67/1.88 tff(14093,plain,
% 1.67/1.88 (~always3(s46)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[66, 14092])).
% 1.67/1.88 tff(14094,plain,
% 1.67/1.88 (~always3(s45)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[78, 14093])).
% 1.67/1.88 tff(14095,plain,
% 1.67/1.88 (~node4(s45)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2585, 595, 14094])).
% 1.67/1.88 tff(14096,plain,
% 1.67/1.88 (~always3(s44)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[90, 14094])).
% 1.67/1.88 tff(14097,plain,
% 1.67/1.88 (~node4(s44)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2568, 595, 14096])).
% 1.67/1.88 tff(14098,plain,
% 1.67/1.88 (~always3(s43)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[102, 14096])).
% 1.67/1.88 tff(14099,plain,
% 1.67/1.88 (xuntil6(s43)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[8147, 14098, 8122])).
% 1.67/1.88 tff(14100,plain,
% 1.67/1.88 (until5(s44)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2564, 14099])).
% 1.67/1.88 tff(14101,plain,
% 1.67/1.88 (xuntil6(s44) | node4(s44)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2575, 614, 14100])).
% 1.67/1.88 tff(14102,plain,
% 1.67/1.88 (xuntil6(s44)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14101, 14097])).
% 1.67/1.88 tff(14103,plain,
% 1.67/1.88 (until5(s45)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2581, 14102])).
% 1.67/1.88 tff(14104,plain,
% 1.67/1.88 (xuntil6(s45)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2592, 614, 14103, 14095])).
% 1.67/1.88 tff(14105,plain,
% 1.67/1.88 (until5(s46)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2598, 14104])).
% 1.67/1.88 tff(14106,plain,
% 1.67/1.88 (~node4(s46)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2602, 595, 14093])).
% 1.67/1.88 tff(14107,plain,
% 1.67/1.88 (xuntil6(s46) | (~until5(s46))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2609, 614, 14106])).
% 1.67/1.88 tff(14108,plain,
% 1.67/1.88 (xuntil6(s46)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14107, 14105])).
% 1.67/1.88 tff(14109,plain,
% 1.67/1.88 (until5(s47)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2615, 14108])).
% 1.67/1.88 tff(14110,plain,
% 1.67/1.88 (~node4(s47)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2619, 595, 14092])).
% 1.67/1.88 tff(14111,plain,
% 1.67/1.88 (xuntil6(s47) | (~until5(s47))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2626, 614, 14110])).
% 1.67/1.88 tff(14112,plain,
% 1.67/1.88 (xuntil6(s47)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14111, 14109])).
% 1.67/1.88 tff(14113,plain,
% 1.67/1.88 (until5(s48)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2632, 14112])).
% 1.67/1.88 tff(14114,plain,
% 1.67/1.88 (~node4(s48)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2636, 595, 14091])).
% 1.67/1.88 tff(14115,plain,
% 1.67/1.88 (xuntil6(s48) | (~until5(s48))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2643, 614, 14114])).
% 1.67/1.88 tff(14116,plain,
% 1.67/1.88 (xuntil6(s48)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14115, 14113])).
% 1.67/1.88 tff(14117,plain,
% 1.67/1.88 (until5(s49)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2649, 14116])).
% 1.67/1.88 tff(14118,plain,
% 1.67/1.88 (~node4(s49)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2653, 595, 14090])).
% 1.67/1.88 tff(14119,plain,
% 1.67/1.88 (xuntil6(s49) | (~until5(s49))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2660, 614, 14118])).
% 1.67/1.88 tff(14120,plain,
% 1.67/1.88 (xuntil6(s49)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14119, 14117])).
% 1.67/1.88 tff(14121,plain,
% 1.67/1.88 (until5(s50)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2666, 14120])).
% 1.67/1.88 tff(14122,plain,
% 1.67/1.88 (~node4(s50)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2670, 595, 14089])).
% 1.67/1.88 tff(14123,plain,
% 1.67/1.88 (xuntil6(s50) | (~until5(s50))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2677, 614, 14122])).
% 1.67/1.88 tff(14124,plain,
% 1.67/1.88 (xuntil6(s50)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14123, 14121])).
% 1.67/1.88 tff(14125,plain,
% 1.67/1.88 (until5(s51)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2683, 14124])).
% 1.67/1.88 tff(14126,plain,
% 1.67/1.88 (~node4(s51)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2687, 595, 14088])).
% 1.67/1.88 tff(14127,plain,
% 1.67/1.88 (xuntil6(s51) | (~until5(s51))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2694, 614, 14126])).
% 1.67/1.88 tff(14128,plain,
% 1.67/1.88 (xuntil6(s51)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14127, 14125])).
% 1.67/1.88 tff(14129,plain,
% 1.67/1.88 (until5(s52)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2700, 14128])).
% 1.67/1.88 tff(14130,plain,
% 1.67/1.88 (~node4(s52)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2704, 595, 14087])).
% 1.67/1.88 tff(14131,plain,
% 1.67/1.88 (xuntil6(s52) | (~until5(s52))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2711, 614, 14130])).
% 1.67/1.88 tff(14132,plain,
% 1.67/1.88 (xuntil6(s52)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14131, 14129])).
% 1.67/1.88 tff(14133,plain,
% 1.67/1.88 (until5(s53)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2717, 14132])).
% 1.67/1.88 tff(14134,plain,
% 1.67/1.88 (~node4(s53)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2721, 595, 14086])).
% 1.67/1.88 tff(14135,plain,
% 1.67/1.88 (xuntil6(s53) | (~until5(s53))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2728, 614, 14134])).
% 1.67/1.88 tff(14136,plain,
% 1.67/1.88 (xuntil6(s53)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14135, 14133])).
% 1.67/1.88 tff(14137,plain,
% 1.67/1.88 (until5(s54)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2734, 14136])).
% 1.67/1.88 tff(14138,plain,
% 1.67/1.88 (~node4(s54)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2738, 595, 14085])).
% 1.67/1.88 tff(14139,plain,
% 1.67/1.88 (xuntil6(s54) | (~until5(s54))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2745, 614, 14138])).
% 1.67/1.88 tff(14140,plain,
% 1.67/1.88 (xuntil6(s54)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14139, 14137])).
% 1.67/1.88 tff(14141,plain,
% 1.67/1.88 (until5(s55)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2751, 14140])).
% 1.67/1.88 tff(14142,plain,
% 1.67/1.88 (~node4(s55)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2755, 595, 14084])).
% 1.67/1.88 tff(14143,plain,
% 1.67/1.88 (xuntil6(s55) | (~until5(s55))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2762, 614, 14142])).
% 1.67/1.88 tff(14144,plain,
% 1.67/1.88 (xuntil6(s55)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14143, 14141])).
% 1.67/1.88 tff(14145,plain,
% 1.67/1.88 (until5(s56)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2768, 14144])).
% 1.67/1.88 tff(14146,plain,
% 1.67/1.88 (~node4(s56)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2772, 595, 14083])).
% 1.67/1.88 tff(14147,plain,
% 1.67/1.88 (xuntil6(s56) | (~until5(s56))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2779, 614, 14146])).
% 1.67/1.88 tff(14148,plain,
% 1.67/1.88 (xuntil6(s56)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14147, 14145])).
% 1.67/1.88 tff(14149,plain,
% 1.67/1.88 (until5(s57)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2785, 14148])).
% 1.67/1.88 tff(14150,plain,
% 1.67/1.88 (~node4(s57)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2789, 595, 14082])).
% 1.67/1.88 tff(14151,plain,
% 1.67/1.88 (xuntil6(s57) | (~until5(s57))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2796, 614, 14150])).
% 1.67/1.88 tff(14152,plain,
% 1.67/1.88 (xuntil6(s57)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14151, 14149])).
% 1.67/1.88 tff(14153,plain,
% 1.67/1.88 ($false),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2802, 14152, 14081])).
% 1.67/1.88 tff(14154,plain,(always3(s71) | xuntil6(s71) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.88 tff(14155,plain,
% 1.67/1.88 (always3(s71)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14154, 14014, 8122])).
% 1.67/1.88 tff(14156,plain,
% 1.67/1.88 (always3(s72)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1175, 14155])).
% 1.67/1.88 tff(14157,plain,
% 1.67/1.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s72)) | (~m_main_v_state(s72, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s72)) | (~m_main_v_state(s72, c_busy)))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(14158,plain,
% 1.67/1.88 (((~m_main_v_state(s72, c_busy)) | (~always3(s72))) <=> ((~always3(s72)) | (~m_main_v_state(s72, c_busy)))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(14159,plain,
% 1.67/1.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s72, c_busy)) | (~always3(s72)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s72)) | (~m_main_v_state(s72, c_busy))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[14158])).
% 1.67/1.88 tff(14160,plain,
% 1.67/1.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s72, c_busy)) | (~always3(s72)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s72)) | (~m_main_v_state(s72, c_busy)))),
% 1.67/1.88 inference(transitivity,[status(thm)],[14159, 14157])).
% 1.67/1.88 tff(14161,plain,
% 1.67/1.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s72, c_busy)) | (~always3(s72)))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(14162,plain,
% 1.67/1.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s72)) | (~m_main_v_state(s72, c_busy))),
% 1.67/1.88 inference(modus_ponens,[status(thm)],[14161, 14160])).
% 1.67/1.88 tff(14163,plain,
% 1.67/1.88 (~m_main_v_state(s72, c_busy)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14162, 3154, 14156])).
% 1.67/1.88 tff(14164,assumption,(until5(s71)), introduced(assumption)).
% 1.67/1.88 tff(14165,plain,
% 1.67/1.88 (xuntil6(s71) | node4(s71)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1186, 614, 14164])).
% 1.67/1.88 tff(14166,plain,
% 1.67/1.88 (node4(s71)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14165, 14014])).
% 1.67/1.88 tff(14167,plain,
% 1.67/1.88 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s71) | (~node4(s71)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s71) | (~node4(s71)))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(14168,plain,
% 1.67/1.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s71) | (~node4(s71)))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(14169,plain,
% 1.67/1.88 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s71) | (~node4(s71))),
% 1.67/1.88 inference(modus_ponens,[status(thm)],[14168, 14167])).
% 1.67/1.88 tff(14170,plain,
% 1.67/1.88 (m_main_v_request(s71)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14169, 3141, 14166])).
% 1.67/1.88 tff(14171,plain,
% 1.67/1.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s71, s72)) | node2(s71, s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s71, s72)) | node2(s71, s72))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(14172,plain,
% 1.67/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s71, s72)) | node2(s71, s72))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(14173,plain,
% 1.67/1.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s71, s72)) | node2(s71, s72)),
% 1.67/1.88 inference(modus_ponens,[status(thm)],[14172, 14171])).
% 1.67/1.88 tff(14174,plain,
% 1.67/1.88 (node2(s71, s72)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14173, 7, 1171])).
% 1.67/1.88 tff(14175,plain,
% 1.67/1.88 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s71, c_ready)) | (~node2(s71, s72)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s71)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s71, c_ready)) | (~node2(s71, s72)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s71)))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(14176,plain,
% 1.67/1.88 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s71, c_ready)) | (~node2(s71, s72)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s71)))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(14177,plain,
% 1.67/1.88 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s71, c_ready)) | (~node2(s71, s72)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s71))),
% 1.67/1.88 inference(modus_ponens,[status(thm)],[14176, 14175])).
% 1.67/1.88 tff(14178,plain,
% 1.67/1.88 ((~m_main_v_state(s71, c_ready)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s71))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14177, 3175, 14174])).
% 1.67/1.88 tff(14179,plain,
% 1.67/1.88 (~m_main_v_state(s71, c_ready)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14178, 14170, 14163])).
% 1.67/1.88 tff(14180,plain,
% 1.67/1.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s71)) | (~m_main_v_state(s71, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s71)) | (~m_main_v_state(s71, c_busy)))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(14181,plain,
% 1.67/1.88 (((~m_main_v_state(s71, c_busy)) | (~always3(s71))) <=> ((~always3(s71)) | (~m_main_v_state(s71, c_busy)))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(14182,plain,
% 1.67/1.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s71, c_busy)) | (~always3(s71)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s71)) | (~m_main_v_state(s71, c_busy))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[14181])).
% 1.67/1.88 tff(14183,plain,
% 1.67/1.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s71, c_busy)) | (~always3(s71)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s71)) | (~m_main_v_state(s71, c_busy)))),
% 1.67/1.88 inference(transitivity,[status(thm)],[14182, 14180])).
% 1.67/1.88 tff(14184,plain,
% 1.67/1.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s71, c_busy)) | (~always3(s71)))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(14185,plain,
% 1.67/1.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s71)) | (~m_main_v_state(s71, c_busy))),
% 1.67/1.88 inference(modus_ponens,[status(thm)],[14184, 14183])).
% 1.67/1.88 tff(14186,plain,
% 1.67/1.88 (~m_main_v_state(s71, c_busy)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14185, 3154, 14155])).
% 1.67/1.88 tff(14187,plain,
% 1.67/1.88 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s71, c_busy) | m_main_v_state(s71, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s71, c_busy) | m_main_v_state(s71, c_ready))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(14188,plain,
% 1.67/1.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s71, c_busy) | m_main_v_state(s71, c_ready))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(14189,plain,
% 1.67/1.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s71, c_busy) | m_main_v_state(s71, c_ready)),
% 1.67/1.88 inference(modus_ponens,[status(thm)],[14188, 14187])).
% 1.67/1.88 tff(14190,plain,
% 1.67/1.88 ($false),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14189, 19, 14186, 14179])).
% 1.67/1.88 tff(14191,plain,(xuntil6(s71) | (~until5(s71)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.88 tff(14192,plain,
% 1.67/1.88 (xuntil6(s71)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14191, 14013, 8122])).
% 1.67/1.88 tff(14193,plain,
% 1.67/1.88 (until5(s72)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1166, 14192])).
% 1.67/1.88 tff(14194,assumption,(~xuntil6(s74)), introduced(assumption)).
% 1.67/1.88 tff(14195,plain,
% 1.67/1.88 (~node4(s73)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1121, 595, 9329])).
% 1.67/1.88 tff(14196,plain,
% 1.67/1.88 (~node4(s74)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1092, 595, 8663])).
% 1.67/1.88 tff(14197,plain,
% 1.67/1.88 (node4(s74) | (~until5(s74))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1099, 614, 14194])).
% 1.67/1.88 tff(14198,plain,
% 1.67/1.88 (~until5(s74)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14197, 14196])).
% 1.67/1.88 tff(14199,plain,
% 1.67/1.88 (~xuntil6(s73)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1108, 14198])).
% 1.67/1.88 tff(14200,plain,
% 1.67/1.88 (~until5(s73)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1128, 614, 14199, 14195])).
% 1.67/1.88 tff(14201,plain,
% 1.67/1.88 (~xuntil6(s72)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1137, 14200])).
% 1.67/1.88 tff(14202,plain,
% 1.67/1.88 (~node4(s72)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1150, 595, 9330])).
% 1.67/1.88 tff(14203,plain,
% 1.67/1.88 (xuntil6(s72) | (~until5(s72))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1157, 614, 14202])).
% 1.67/1.88 tff(14204,plain,
% 1.67/1.88 (~until5(s72)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14203, 14201])).
% 1.67/1.88 tff(14205,plain,
% 1.67/1.88 (~xuntil6(s71)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1166, 14204])).
% 1.67/1.88 tff(14206,plain,
% 1.67/1.88 (~node4(s71)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1179, 595, 9331])).
% 1.67/1.88 tff(14207,plain,
% 1.67/1.88 (xuntil6(s71) | (~until5(s71))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1186, 614, 14206])).
% 1.67/1.88 tff(14208,plain,
% 1.67/1.88 (~until5(s71)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14207, 14205])).
% 1.67/1.88 tff(14209,plain,
% 1.67/1.88 (~xuntil6(s70)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1195, 14208])).
% 1.67/1.88 tff(14210,plain,
% 1.67/1.88 (~node4(s70)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1208, 595, 9332])).
% 1.67/1.88 tff(14211,plain,
% 1.67/1.88 (xuntil6(s70) | (~until5(s70))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1215, 614, 14210])).
% 1.67/1.88 tff(14212,plain,
% 1.67/1.88 (~until5(s70)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14211, 14209])).
% 1.67/1.88 tff(14213,plain,
% 1.67/1.88 (~xuntil6(s69)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1224, 14212])).
% 1.67/1.88 tff(14214,plain,
% 1.67/1.88 (~node4(s69)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1237, 595, 9333])).
% 1.67/1.88 tff(14215,plain,
% 1.67/1.88 (xuntil6(s69) | (~until5(s69))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1244, 614, 14214])).
% 1.67/1.88 tff(14216,plain,
% 1.67/1.88 (~until5(s69)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14215, 14213])).
% 1.67/1.88 tff(14217,plain,
% 1.67/1.88 (~xuntil6(s68)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1253, 14216])).
% 1.67/1.88 tff(14218,plain,
% 1.67/1.88 (~node4(s68)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1266, 595, 9335])).
% 1.67/1.88 tff(14219,plain,
% 1.67/1.88 (xuntil6(s68) | (~until5(s68))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1273, 614, 14218])).
% 1.67/1.88 tff(14220,plain,
% 1.67/1.88 (~until5(s68)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14219, 14217])).
% 1.67/1.88 tff(14221,plain,
% 1.67/1.88 (~xuntil6(s67)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1282, 14220])).
% 1.67/1.88 tff(14222,plain,
% 1.67/1.88 (~node4(s67)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1295, 595, 9336])).
% 1.67/1.88 tff(14223,plain,
% 1.67/1.88 (xuntil6(s67) | (~until5(s67))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1302, 614, 14222])).
% 1.67/1.88 tff(14224,plain,
% 1.67/1.88 (~until5(s67)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14223, 14221])).
% 1.67/1.88 tff(14225,plain,
% 1.67/1.88 (~xuntil6(s66)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1311, 14224])).
% 1.67/1.88 tff(14226,plain,
% 1.67/1.88 (~node4(s66)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1324, 595, 9337])).
% 1.67/1.88 tff(14227,plain,
% 1.67/1.88 (xuntil6(s66) | (~until5(s66))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1331, 614, 14226])).
% 1.67/1.88 tff(14228,plain,
% 1.67/1.88 (~until5(s66)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14227, 14225])).
% 1.67/1.88 tff(14229,plain,
% 1.67/1.88 (~xuntil6(s65)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1340, 14228])).
% 1.67/1.88 tff(14230,plain,
% 1.67/1.88 (~node4(s65)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1353, 595, 9338])).
% 1.67/1.88 tff(14231,plain,
% 1.67/1.88 (xuntil6(s65) | (~until5(s65))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1360, 614, 14230])).
% 1.67/1.88 tff(14232,plain,
% 1.67/1.88 (~until5(s65)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14231, 14229])).
% 1.67/1.88 tff(14233,plain,
% 1.67/1.88 (~xuntil6(s64)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1369, 14232])).
% 1.67/1.88 tff(14234,plain,
% 1.67/1.88 (~node4(s64)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1382, 595, 9339])).
% 1.67/1.88 tff(14235,plain,
% 1.67/1.88 (xuntil6(s64) | (~until5(s64))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1389, 614, 14234])).
% 1.67/1.88 tff(14236,plain,
% 1.67/1.88 (~until5(s64)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14235, 14233])).
% 1.67/1.88 tff(14237,plain,
% 1.67/1.88 (~xuntil6(s63)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1398, 14236])).
% 1.67/1.88 tff(14238,plain,
% 1.67/1.88 (~node4(s63)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1411, 595, 9340])).
% 1.67/1.88 tff(14239,plain,
% 1.67/1.88 (xuntil6(s63) | (~until5(s63))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1418, 614, 14238])).
% 1.67/1.88 tff(14240,plain,
% 1.67/1.88 (~until5(s63)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14239, 14237])).
% 1.67/1.88 tff(14241,plain,
% 1.67/1.88 (~xuntil6(s62)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2887, 14240])).
% 1.67/1.88 tff(14242,plain,
% 1.67/1.88 (~node4(s62)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2874, 595, 9341])).
% 1.67/1.88 tff(14243,plain,
% 1.67/1.88 (xuntil6(s62) | (~until5(s62))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2881, 614, 14242])).
% 1.67/1.88 tff(14244,plain,
% 1.67/1.88 (~until5(s62)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14243, 14241])).
% 1.67/1.88 tff(14245,plain,
% 1.67/1.88 (~xuntil6(s61)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2870, 14244])).
% 1.67/1.88 tff(14246,plain,
% 1.67/1.88 (~node4(s61)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2857, 595, 9342])).
% 1.67/1.88 tff(14247,plain,
% 1.67/1.88 (xuntil6(s61) | (~until5(s61))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2864, 614, 14246])).
% 1.67/1.88 tff(14248,plain,
% 1.67/1.88 (~until5(s61)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14247, 14245])).
% 1.67/1.88 tff(14249,plain,
% 1.67/1.88 (~xuntil6(s60)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2853, 14248])).
% 1.67/1.88 tff(14250,plain,
% 1.67/1.88 (~node4(s60)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2840, 595, 9343])).
% 1.67/1.88 tff(14251,plain,
% 1.67/1.88 (xuntil6(s60) | (~until5(s60))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2847, 614, 14250])).
% 1.67/1.88 tff(14252,plain,
% 1.67/1.88 (~until5(s60)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14251, 14249])).
% 1.67/1.88 tff(14253,plain,
% 1.67/1.88 (~xuntil6(s59)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2836, 14252])).
% 1.67/1.88 tff(14254,plain,
% 1.67/1.88 (~node4(s45)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2585, 595, 9358])).
% 1.67/1.88 tff(14255,plain,
% 1.67/1.88 (~node4(s44)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2568, 595, 9359])).
% 1.67/1.88 tff(14256,plain,
% 1.67/1.88 (xuntil6(s43)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[8147, 9360, 8122])).
% 1.67/1.88 tff(14257,plain,
% 1.67/1.88 (until5(s44)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2564, 14256])).
% 1.67/1.88 tff(14258,plain,
% 1.67/1.88 (xuntil6(s44) | node4(s44)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2575, 614, 14257])).
% 1.67/1.88 tff(14259,plain,
% 1.67/1.88 (xuntil6(s44)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14258, 14255])).
% 1.67/1.88 tff(14260,plain,
% 1.67/1.88 (until5(s45)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2581, 14259])).
% 1.67/1.88 tff(14261,plain,
% 1.67/1.88 (xuntil6(s45)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2592, 614, 14260, 14254])).
% 1.67/1.88 tff(14262,plain,
% 1.67/1.88 (until5(s46)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2598, 14261])).
% 1.67/1.88 tff(14263,plain,
% 1.67/1.88 (~node4(s46)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2602, 595, 9357])).
% 1.67/1.88 tff(14264,plain,
% 1.67/1.88 (xuntil6(s46) | (~until5(s46))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2609, 614, 14263])).
% 1.67/1.88 tff(14265,plain,
% 1.67/1.88 (xuntil6(s46)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14264, 14262])).
% 1.67/1.88 tff(14266,plain,
% 1.67/1.88 (until5(s47)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2615, 14265])).
% 1.67/1.88 tff(14267,plain,
% 1.67/1.88 (~node4(s47)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2619, 595, 9356])).
% 1.67/1.88 tff(14268,plain,
% 1.67/1.88 (xuntil6(s47) | (~until5(s47))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2626, 614, 14267])).
% 1.67/1.88 tff(14269,plain,
% 1.67/1.88 (xuntil6(s47)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14268, 14266])).
% 1.67/1.88 tff(14270,plain,
% 1.67/1.88 (until5(s48)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2632, 14269])).
% 1.67/1.88 tff(14271,plain,
% 1.67/1.88 (~node4(s48)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2636, 595, 9355])).
% 1.67/1.88 tff(14272,plain,
% 1.67/1.88 (xuntil6(s48) | (~until5(s48))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2643, 614, 14271])).
% 1.67/1.88 tff(14273,plain,
% 1.67/1.88 (xuntil6(s48)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14272, 14270])).
% 1.67/1.88 tff(14274,plain,
% 1.67/1.88 (until5(s49)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2649, 14273])).
% 1.67/1.88 tff(14275,plain,
% 1.67/1.88 (~node4(s49)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2653, 595, 9354])).
% 1.67/1.88 tff(14276,plain,
% 1.67/1.88 (xuntil6(s49) | (~until5(s49))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2660, 614, 14275])).
% 1.67/1.88 tff(14277,plain,
% 1.67/1.88 (xuntil6(s49)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14276, 14274])).
% 1.67/1.88 tff(14278,plain,
% 1.67/1.88 (until5(s50)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2666, 14277])).
% 1.67/1.88 tff(14279,plain,
% 1.67/1.88 (~node4(s50)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2670, 595, 9353])).
% 1.67/1.88 tff(14280,plain,
% 1.67/1.88 (xuntil6(s50) | (~until5(s50))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2677, 614, 14279])).
% 1.67/1.88 tff(14281,plain,
% 1.67/1.88 (xuntil6(s50)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14280, 14278])).
% 1.67/1.88 tff(14282,plain,
% 1.67/1.88 (until5(s51)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2683, 14281])).
% 1.67/1.88 tff(14283,plain,
% 1.67/1.88 (~node4(s51)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2687, 595, 9352])).
% 1.67/1.88 tff(14284,plain,
% 1.67/1.88 (xuntil6(s51) | (~until5(s51))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2694, 614, 14283])).
% 1.67/1.88 tff(14285,plain,
% 1.67/1.88 (xuntil6(s51)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14284, 14282])).
% 1.67/1.88 tff(14286,plain,
% 1.67/1.88 (until5(s52)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2700, 14285])).
% 1.67/1.88 tff(14287,plain,
% 1.67/1.88 (~node4(s52)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2704, 595, 9351])).
% 1.67/1.88 tff(14288,plain,
% 1.67/1.88 (xuntil6(s52) | (~until5(s52))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2711, 614, 14287])).
% 1.67/1.88 tff(14289,plain,
% 1.67/1.88 (xuntil6(s52)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14288, 14286])).
% 1.67/1.88 tff(14290,plain,
% 1.67/1.88 (until5(s53)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2717, 14289])).
% 1.67/1.88 tff(14291,plain,
% 1.67/1.88 (~node4(s53)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2721, 595, 9350])).
% 1.67/1.88 tff(14292,plain,
% 1.67/1.88 (xuntil6(s53) | (~until5(s53))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2728, 614, 14291])).
% 1.67/1.88 tff(14293,plain,
% 1.67/1.88 (xuntil6(s53)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14292, 14290])).
% 1.67/1.88 tff(14294,plain,
% 1.67/1.88 (until5(s54)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2734, 14293])).
% 1.67/1.88 tff(14295,plain,
% 1.67/1.88 (~node4(s54)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2738, 595, 9349])).
% 1.67/1.88 tff(14296,plain,
% 1.67/1.88 (xuntil6(s54) | (~until5(s54))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2745, 614, 14295])).
% 1.67/1.88 tff(14297,plain,
% 1.67/1.88 (xuntil6(s54)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14296, 14294])).
% 1.67/1.88 tff(14298,plain,
% 1.67/1.88 (until5(s55)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2751, 14297])).
% 1.67/1.88 tff(14299,plain,
% 1.67/1.88 (~node4(s55)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2755, 595, 9348])).
% 1.67/1.88 tff(14300,plain,
% 1.67/1.88 (xuntil6(s55) | (~until5(s55))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2762, 614, 14299])).
% 1.67/1.88 tff(14301,plain,
% 1.67/1.88 (xuntil6(s55)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14300, 14298])).
% 1.67/1.88 tff(14302,plain,
% 1.67/1.88 (until5(s56)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2768, 14301])).
% 1.67/1.88 tff(14303,plain,
% 1.67/1.88 (~node4(s56)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2772, 595, 9347])).
% 1.67/1.88 tff(14304,plain,
% 1.67/1.88 (xuntil6(s56) | (~until5(s56))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2779, 614, 14303])).
% 1.67/1.88 tff(14305,plain,
% 1.67/1.88 (xuntil6(s56)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14304, 14302])).
% 1.67/1.88 tff(14306,plain,
% 1.67/1.88 (until5(s57)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2785, 14305])).
% 1.67/1.88 tff(14307,plain,
% 1.67/1.88 (~node4(s57)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2789, 595, 9346])).
% 1.67/1.88 tff(14308,plain,
% 1.67/1.88 (xuntil6(s57) | (~until5(s57))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2796, 614, 14307])).
% 1.67/1.88 tff(14309,plain,
% 1.67/1.88 (xuntil6(s57)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14308, 14306])).
% 1.67/1.88 tff(14310,plain,
% 1.67/1.88 (until5(s58)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2802, 14309])).
% 1.67/1.88 tff(14311,plain,
% 1.67/1.88 (~node4(s58)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2806, 595, 9345])).
% 1.67/1.88 tff(14312,plain,
% 1.67/1.88 (xuntil6(s58) | (~until5(s58))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2813, 614, 14311])).
% 1.67/1.88 tff(14313,plain,
% 1.67/1.88 (xuntil6(s58)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14312, 14310])).
% 1.67/1.88 tff(14314,plain,
% 1.67/1.88 (until5(s59)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2819, 14313])).
% 1.67/1.88 tff(14315,plain,
% 1.67/1.88 (~node4(s59)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2823, 595, 9344])).
% 1.67/1.88 tff(14316,plain,
% 1.67/1.88 (xuntil6(s59) | (~until5(s59))),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[2830, 614, 14315])).
% 1.67/1.88 tff(14317,plain,
% 1.67/1.88 ($false),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14316, 14314, 14253])).
% 1.67/1.88 tff(14318,plain,(always3(s74) | xuntil6(s74) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.88 tff(14319,plain,
% 1.67/1.88 (always3(s74)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14318, 14194, 8122])).
% 1.67/1.88 tff(14320,plain,
% 1.67/1.88 (always3(s75)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1088, 14319])).
% 1.67/1.88 tff(14321,plain,
% 1.67/1.88 (~m_main_v_state(s75, c_busy)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[8901, 3154, 14320])).
% 1.67/1.88 tff(14322,plain,
% 1.67/1.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s74)) | (~m_main_v_state(s74, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s74)) | (~m_main_v_state(s74, c_busy)))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(14323,plain,
% 1.67/1.88 (((~m_main_v_state(s74, c_busy)) | (~always3(s74))) <=> ((~always3(s74)) | (~m_main_v_state(s74, c_busy)))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(14324,plain,
% 1.67/1.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s74, c_busy)) | (~always3(s74)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s74)) | (~m_main_v_state(s74, c_busy))))),
% 1.67/1.88 inference(monotonicity,[status(thm)],[14323])).
% 1.67/1.88 tff(14325,plain,
% 1.67/1.88 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s74, c_busy)) | (~always3(s74)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s74)) | (~m_main_v_state(s74, c_busy)))),
% 1.67/1.88 inference(transitivity,[status(thm)],[14324, 14322])).
% 1.67/1.88 tff(14326,plain,
% 1.67/1.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s74, c_busy)) | (~always3(s74)))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(14327,plain,
% 1.67/1.88 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s74)) | (~m_main_v_state(s74, c_busy))),
% 1.67/1.88 inference(modus_ponens,[status(thm)],[14326, 14325])).
% 1.67/1.88 tff(14328,plain,
% 1.67/1.88 (~m_main_v_state(s74, c_busy)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14327, 3154, 14319])).
% 1.67/1.88 tff(14329,plain,
% 1.67/1.88 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s74, c_busy) | m_main_v_state(s74, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s74, c_busy) | m_main_v_state(s74, c_ready))),
% 1.67/1.88 inference(rewrite,[status(thm)],[])).
% 1.67/1.88 tff(14330,plain,
% 1.67/1.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s74, c_busy) | m_main_v_state(s74, c_ready))),
% 1.67/1.88 inference(quant_inst,[status(thm)],[])).
% 1.67/1.88 tff(14331,plain,
% 1.67/1.88 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s74, c_busy) | m_main_v_state(s74, c_ready)),
% 1.67/1.88 inference(modus_ponens,[status(thm)],[14330, 14329])).
% 1.67/1.88 tff(14332,plain,
% 1.67/1.88 (m_main_v_state(s74, c_ready)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[14331, 19, 14328])).
% 1.67/1.88 tff(14333,assumption,(until5(s72)), introduced(assumption)).
% 1.67/1.88 tff(14334,assumption,(~xuntil6(s73)), introduced(assumption)).
% 1.67/1.88 tff(14335,plain,
% 1.67/1.88 (~always3(s72)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1146, 8705])).
% 1.67/1.88 tff(14336,plain,
% 1.67/1.88 (~node4(s72)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1150, 595, 14335])).
% 1.67/1.88 tff(14337,plain,
% 1.67/1.88 (xuntil6(s72) | node4(s72)),
% 1.67/1.88 inference(unit_resolution,[status(thm)],[1157, 614, 14333])).
% 1.67/1.89 tff(14338,plain,
% 1.67/1.89 (xuntil6(s72)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14337, 14336])).
% 1.67/1.89 tff(14339,plain,
% 1.67/1.89 (until5(s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1137, 14338])).
% 1.67/1.89 tff(14340,plain,
% 1.67/1.89 (node4(s73) | (~until5(s73))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1128, 614, 14334])).
% 1.67/1.89 tff(14341,plain,
% 1.67/1.89 (node4(s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14340, 14339])).
% 1.67/1.89 tff(14342,plain,
% 1.67/1.89 ($false),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1121, 595, 8705, 14341])).
% 1.67/1.89 tff(14343,plain,(always3(s73) | xuntil6(s73) | (~until5(s72))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.89 tff(14344,plain,
% 1.67/1.89 (always3(s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14343, 14333, 14334])).
% 1.67/1.89 tff(14345,plain,
% 1.67/1.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s73)) | (~m_main_v_state(s73, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s73)) | (~m_main_v_state(s73, c_busy)))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14346,plain,
% 1.67/1.89 (((~m_main_v_state(s73, c_busy)) | (~always3(s73))) <=> ((~always3(s73)) | (~m_main_v_state(s73, c_busy)))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14347,plain,
% 1.67/1.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s73, c_busy)) | (~always3(s73)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s73)) | (~m_main_v_state(s73, c_busy))))),
% 1.67/1.89 inference(monotonicity,[status(thm)],[14346])).
% 1.67/1.89 tff(14348,plain,
% 1.67/1.89 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s73, c_busy)) | (~always3(s73)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s73)) | (~m_main_v_state(s73, c_busy)))),
% 1.67/1.89 inference(transitivity,[status(thm)],[14347, 14345])).
% 1.67/1.89 tff(14349,plain,
% 1.67/1.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s73, c_busy)) | (~always3(s73)))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(14350,plain,
% 1.67/1.89 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s73)) | (~m_main_v_state(s73, c_busy))),
% 1.67/1.89 inference(modus_ponens,[status(thm)],[14349, 14348])).
% 1.67/1.89 tff(14351,plain,
% 1.67/1.89 (~m_main_v_state(s73, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14350, 3154, 14344])).
% 1.67/1.89 tff(14352,assumption,(~m_main_v_state(s74, c_busy)), introduced(assumption)).
% 1.67/1.89 tff(14353,plain,
% 1.67/1.89 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s73, c_busy) | m_main_v_state(s73, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s73, c_busy) | m_main_v_state(s73, c_ready))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14354,plain,
% 1.67/1.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s73, c_busy) | m_main_v_state(s73, c_ready))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(14355,plain,
% 1.67/1.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s73, c_busy) | m_main_v_state(s73, c_ready)),
% 1.67/1.89 inference(modus_ponens,[status(thm)],[14354, 14353])).
% 1.67/1.89 tff(14356,plain,
% 1.67/1.89 (m_main_v_state(s73, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14355, 19, 14351])).
% 1.67/1.89 tff(14357,plain,
% 1.67/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s73, s74)) | node2(s73, s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s73, s74)) | node2(s73, s74))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14358,plain,
% 1.67/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s73, s74)) | node2(s73, s74))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(14359,plain,
% 1.67/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s73, s74)) | node2(s73, s74)),
% 1.67/1.89 inference(modus_ponens,[status(thm)],[14358, 14357])).
% 1.67/1.89 tff(14360,plain,
% 1.67/1.89 (node2(s73, s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14359, 7, 1113])).
% 1.67/1.89 tff(14361,plain,
% 1.67/1.89 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s73, c_ready)) | (~node2(s73, s74)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s73)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s73, c_ready)) | (~node2(s73, s74)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s73)))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14362,plain,
% 1.67/1.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s73, c_ready)) | (~node2(s73, s74)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s73)))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(14363,plain,
% 1.67/1.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s73, c_ready)) | (~node2(s73, s74)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s73))),
% 1.67/1.89 inference(modus_ponens,[status(thm)],[14362, 14361])).
% 1.67/1.89 tff(14364,plain,
% 1.67/1.89 ((~m_main_v_state(s73, c_ready)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s73))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14363, 3175, 14360])).
% 1.67/1.89 tff(14365,plain,
% 1.67/1.89 (~m_main_v_request(s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14364, 14356, 14352])).
% 1.67/1.89 tff(14366,plain,
% 1.67/1.89 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s73) | (~node4(s73)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s73) | (~node4(s73)))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14367,plain,
% 1.67/1.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s73) | (~node4(s73)))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(14368,plain,
% 1.67/1.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s73) | (~node4(s73))),
% 1.67/1.89 inference(modus_ponens,[status(thm)],[14367, 14366])).
% 1.67/1.89 tff(14369,plain,
% 1.67/1.89 (~node4(s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14368, 3141, 14365])).
% 1.67/1.89 tff(14370,plain,
% 1.67/1.89 (~until5(s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14340, 14369])).
% 1.67/1.89 tff(14371,plain,
% 1.67/1.89 (~xuntil6(s72)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1137, 14370])).
% 1.67/1.89 tff(14372,plain,
% 1.67/1.89 (node4(s72)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14337, 14371])).
% 1.67/1.89 tff(14373,plain,
% 1.67/1.89 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s72) | (~node4(s72)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s72) | (~node4(s72)))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14374,plain,
% 1.67/1.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s72) | (~node4(s72)))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(14375,plain,
% 1.67/1.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s72) | (~node4(s72))),
% 1.67/1.89 inference(modus_ponens,[status(thm)],[14374, 14373])).
% 1.67/1.89 tff(14376,plain,
% 1.67/1.89 (m_main_v_request(s72)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14375, 3141, 14372])).
% 1.67/1.89 tff(14377,plain,
% 1.67/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s72, s73)) | node2(s72, s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s72, s73)) | node2(s72, s73))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14378,plain,
% 1.67/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s72, s73)) | node2(s72, s73))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(14379,plain,
% 1.67/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s72, s73)) | node2(s72, s73)),
% 1.67/1.89 inference(modus_ponens,[status(thm)],[14378, 14377])).
% 1.67/1.89 tff(14380,plain,
% 1.67/1.89 (node2(s72, s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14379, 7, 1142])).
% 1.67/1.89 tff(14381,plain,
% 1.67/1.89 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s72, c_ready)) | (~node2(s72, s73)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s72)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s72, c_ready)) | (~node2(s72, s73)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s72)))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14382,plain,
% 1.67/1.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s72, c_ready)) | (~node2(s72, s73)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s72)))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(14383,plain,
% 1.67/1.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s72, c_ready)) | (~node2(s72, s73)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s72))),
% 1.67/1.89 inference(modus_ponens,[status(thm)],[14382, 14381])).
% 1.67/1.89 tff(14384,plain,
% 1.67/1.89 ((~m_main_v_state(s72, c_ready)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s72))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14383, 3175, 14380])).
% 1.67/1.89 tff(14385,plain,
% 1.67/1.89 (~m_main_v_state(s72, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14384, 14376, 14351])).
% 1.67/1.89 tff(14386,plain,
% 1.67/1.89 (always3(s72)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1150, 595, 14372])).
% 1.67/1.89 tff(14387,plain,
% 1.67/1.89 (~m_main_v_state(s72, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14162, 3154, 14386])).
% 1.67/1.89 tff(14388,plain,
% 1.67/1.89 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s72, c_busy) | m_main_v_state(s72, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s72, c_busy) | m_main_v_state(s72, c_ready))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14389,plain,
% 1.67/1.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s72, c_busy) | m_main_v_state(s72, c_ready))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(14390,plain,
% 1.67/1.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s72, c_busy) | m_main_v_state(s72, c_ready)),
% 1.67/1.89 inference(modus_ponens,[status(thm)],[14389, 14388])).
% 1.67/1.89 tff(14391,plain,
% 1.67/1.89 ($false),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14390, 19, 14387, 14385])).
% 1.67/1.89 tff(14392,plain,((~until5(s72)) | xuntil6(s73) | m_main_v_state(s74, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.89 tff(14393,plain,
% 1.67/1.89 (xuntil6(s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14392, 14328, 14333])).
% 1.67/1.89 tff(14394,plain,
% 1.67/1.89 (until5(s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1108, 14393])).
% 1.67/1.89 tff(14395,plain,
% 1.67/1.89 (node4(s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14197, 14394])).
% 1.67/1.89 tff(14396,plain,
% 1.67/1.89 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s74) | (~node4(s74)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s74) | (~node4(s74)))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14397,plain,
% 1.67/1.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s74) | (~node4(s74)))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(14398,plain,
% 1.67/1.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s74) | (~node4(s74))),
% 1.67/1.89 inference(modus_ponens,[status(thm)],[14397, 14396])).
% 1.67/1.89 tff(14399,plain,
% 1.67/1.89 (m_main_v_request(s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14398, 3141, 14395])).
% 1.67/1.89 tff(14400,plain,
% 1.67/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s74, s75)) | node2(s74, s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s74, s75)) | node2(s74, s75))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14401,plain,
% 1.67/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s74, s75)) | node2(s74, s75))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(14402,plain,
% 1.67/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s74, s75)) | node2(s74, s75)),
% 1.67/1.89 inference(modus_ponens,[status(thm)],[14401, 14400])).
% 1.67/1.89 tff(14403,plain,
% 1.67/1.89 (node2(s74, s75)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14402, 7, 1084])).
% 1.67/1.89 tff(14404,plain,
% 1.67/1.89 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s74, c_ready)) | (~node2(s74, s75)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s74)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s74, c_ready)) | (~node2(s74, s75)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s74)))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14405,plain,
% 1.67/1.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s74, c_ready)) | (~node2(s74, s75)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s74)))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(14406,plain,
% 1.67/1.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s74, c_ready)) | (~node2(s74, s75)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s74))),
% 1.67/1.89 inference(modus_ponens,[status(thm)],[14405, 14404])).
% 1.67/1.89 tff(14407,plain,
% 1.67/1.89 ((~m_main_v_state(s74, c_ready)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s74))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14406, 3175, 14403])).
% 1.67/1.89 tff(14408,plain,
% 1.67/1.89 ($false),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14407, 14399, 14332, 14321])).
% 1.67/1.89 tff(14409,plain,(xuntil6(s74) | (~until5(s72)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.89 tff(14410,plain,
% 1.67/1.89 (xuntil6(s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14409, 14193, 8122])).
% 1.67/1.89 tff(14411,plain,
% 1.67/1.89 (until5(s75)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1079, 14410])).
% 1.67/1.89 tff(14412,plain,
% 1.67/1.89 (~trans(s99, s70)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8842, 8833])).
% 1.67/1.89 tff(14413,plain,
% 1.67/1.89 (xuntil6(s75)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8908, 8915])).
% 1.67/1.89 tff(14414,plain,
% 1.67/1.89 (until5(s76)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1050, 14413])).
% 1.67/1.89 tff(14415,plain,
% 1.67/1.89 (~m_main_v_state(s77, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8961, 3154, 13223])).
% 1.67/1.89 tff(14416,assumption,(~m_main_v_state(s77, c_busy)), introduced(assumption)).
% 1.67/1.89 tff(14417,assumption,(node4(s76)), introduced(assumption)).
% 1.67/1.89 tff(14418,plain,
% 1.67/1.89 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s76) | (~node4(s76)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s76) | (~node4(s76)))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14419,plain,
% 1.67/1.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s76) | (~node4(s76)))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(14420,plain,
% 1.67/1.89 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s76) | (~node4(s76))),
% 1.67/1.89 inference(modus_ponens,[status(thm)],[14419, 14418])).
% 1.67/1.89 tff(14421,plain,
% 1.67/1.89 (m_main_v_request(s76)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14420, 3141, 14417])).
% 1.67/1.89 tff(14422,plain,
% 1.67/1.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s76, s77)) | node2(s76, s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s76, s77)) | node2(s76, s77))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14423,plain,
% 1.67/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s76, s77)) | node2(s76, s77))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(14424,plain,
% 1.67/1.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s76, s77)) | node2(s76, s77)),
% 1.67/1.89 inference(modus_ponens,[status(thm)],[14423, 14422])).
% 1.67/1.89 tff(14425,plain,
% 1.67/1.89 (node2(s76, s77)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14424, 7, 1026])).
% 1.67/1.89 tff(14426,plain,
% 1.67/1.89 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s76, c_ready)) | (~node2(s76, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s76, c_ready)) | (~node2(s76, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76)))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14427,plain,
% 1.67/1.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s76, c_ready)) | (~node2(s76, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76)))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(14428,plain,
% 1.67/1.89 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s76, c_ready)) | (~node2(s76, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76))),
% 1.67/1.89 inference(modus_ponens,[status(thm)],[14427, 14426])).
% 1.67/1.89 tff(14429,plain,
% 1.67/1.89 ((~m_main_v_state(s76, c_ready)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14428, 3175, 14425])).
% 1.67/1.89 tff(14430,plain,
% 1.67/1.89 (~m_main_v_state(s76, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14429, 14421, 14416])).
% 1.67/1.89 tff(14431,plain,
% 1.67/1.89 (always3(s76)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1034, 595, 14417])).
% 1.67/1.89 tff(14432,plain,
% 1.67/1.89 (~m_main_v_state(s76, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8885, 3154, 14431])).
% 1.67/1.89 tff(14433,plain,
% 1.67/1.89 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s76, c_busy) | m_main_v_state(s76, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s76, c_busy) | m_main_v_state(s76, c_ready))),
% 1.67/1.89 inference(rewrite,[status(thm)],[])).
% 1.67/1.89 tff(14434,plain,
% 1.67/1.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s76, c_busy) | m_main_v_state(s76, c_ready))),
% 1.67/1.89 inference(quant_inst,[status(thm)],[])).
% 1.67/1.89 tff(14435,plain,
% 1.67/1.89 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s76, c_busy) | m_main_v_state(s76, c_ready)),
% 1.67/1.89 inference(modus_ponens,[status(thm)],[14434, 14433])).
% 1.67/1.89 tff(14436,plain,
% 1.67/1.89 ($false),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14435, 19, 14432, 14430])).
% 1.67/1.89 tff(14437,plain,((~node4(s76)) | m_main_v_state(s77, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.89 tff(14438,plain,
% 1.67/1.89 (~node4(s76)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14437, 14415])).
% 1.67/1.89 tff(14439,plain,
% 1.67/1.89 (xuntil6(s76) | (~until5(s76))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1041, 614, 14438])).
% 1.67/1.89 tff(14440,plain,
% 1.67/1.89 (xuntil6(s76)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14439, 14414])).
% 1.67/1.89 tff(14441,plain,
% 1.67/1.89 (until5(s77)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1021, 14440])).
% 1.67/1.89 tff(14442,plain,
% 1.67/1.89 (xuntil6(s77)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8967, 14441, 8915])).
% 1.67/1.89 tff(14443,plain,
% 1.67/1.89 (until5(s78)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[992, 14442])).
% 1.67/1.89 tff(14444,plain,
% 1.67/1.89 (~m_main_v_state(s80, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11958, 3154, 13226])).
% 1.67/1.89 tff(14445,plain,
% 1.67/1.89 ((~until5(s78)) | xuntil6(s79)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[12025, 14444])).
% 1.67/1.89 tff(14446,plain,
% 1.67/1.89 (xuntil6(s79)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14445, 14443])).
% 1.67/1.89 tff(14447,plain,
% 1.67/1.89 (until5(s80)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[934, 14446])).
% 1.67/1.89 tff(14448,plain,
% 1.67/1.89 (xuntil6(s81)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11964, 14447, 8915, 8122])).
% 1.67/1.89 tff(14449,plain,
% 1.67/1.89 (until5(s82)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[876, 14448])).
% 1.67/1.89 tff(14450,plain,
% 1.67/1.89 (xuntil6(s99)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11685, 14449, 3009])).
% 1.67/1.89 tff(14451,plain,
% 1.67/1.89 (~always3(s71)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1175, 14335])).
% 1.67/1.89 tff(14452,plain,
% 1.67/1.89 (~trans(s99, s72)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8787, 14335])).
% 1.67/1.89 tff(14453,plain,
% 1.67/1.89 (~xuntil2p8(s86)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3272, 13321])).
% 1.67/1.89 tff(14454,plain,
% 1.67/1.89 (~m_main_v_state(s86, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11264, 3154, 13232])).
% 1.67/1.89 tff(14455,plain,
% 1.67/1.89 (~node1(s85)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[12253, 14454])).
% 1.67/1.89 tff(14456,plain,
% 1.67/1.89 (m_main_v_state(s86, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[12261, 14455, 14454])).
% 1.67/1.89 tff(14457,plain,
% 1.67/1.89 (~m_main_v_request(s86)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11378, 14456, 13316])).
% 1.67/1.89 tff(14458,plain,
% 1.67/1.89 (~node4(s86)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11369, 3141, 14457])).
% 1.67/1.89 tff(14459,plain,
% 1.67/1.89 (xuntil2p8(s86) | (~until2p7(s86))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3278, 3051, 14458])).
% 1.67/1.89 tff(14460,plain,
% 1.67/1.89 (~until2p7(s86)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14459, 14453])).
% 1.67/1.89 tff(14461,plain,
% 1.67/1.89 (~xuntil2p8(s85)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3284, 14460])).
% 1.67/1.89 tff(14462,plain,
% 1.67/1.89 (~m_main_v_state(s85, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11256, 3154, 13231])).
% 1.67/1.89 tff(14463,plain,
% 1.67/1.89 (m_main_v_state(s85, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11268, 19, 14462])).
% 1.67/1.89 tff(14464,plain,
% 1.67/1.89 (~m_main_v_request(s85)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11277, 14463, 14454])).
% 1.67/1.89 tff(14465,plain,
% 1.67/1.89 (~node4(s85)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11281, 3141, 14464])).
% 1.67/1.89 tff(14466,plain,
% 1.67/1.89 (xuntil2p8(s85) | (~until2p7(s85))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3290, 3051, 14465])).
% 1.67/1.89 tff(14467,plain,
% 1.67/1.89 (~until2p7(s85)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14466, 14461])).
% 1.67/1.89 tff(14468,plain,
% 1.67/1.89 (~xuntil2p8(s84)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3296, 14467])).
% 1.67/1.89 tff(14469,plain,
% 1.67/1.89 (~m_main_v_state(s84, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11322, 3154, 13230])).
% 1.67/1.89 tff(14470,plain,
% 1.67/1.89 (m_main_v_state(s84, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11326, 19, 14469])).
% 1.67/1.89 tff(14471,plain,
% 1.67/1.89 (~m_main_v_request(s84)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11299, 14470, 14462])).
% 1.67/1.89 tff(14472,plain,
% 1.67/1.89 (~node4(s84)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11290, 3141, 14471])).
% 1.67/1.89 tff(14473,plain,
% 1.67/1.89 (xuntil2p8(s84) | (~until2p7(s84))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3302, 3051, 14472])).
% 1.67/1.89 tff(14474,plain,
% 1.67/1.89 (~until2p7(s84)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14473, 14468])).
% 1.67/1.89 tff(14475,plain,
% 1.67/1.89 (~xuntil2p8(s83)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3308, 14474])).
% 1.67/1.89 tff(14476,plain,
% 1.67/1.89 (~node4(s83)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11669, 14469])).
% 1.67/1.89 tff(14477,plain,
% 1.67/1.89 (xuntil2p8(s83) | (~until2p7(s83))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3314, 3051, 14476])).
% 1.67/1.89 tff(14478,plain,
% 1.67/1.89 (~until2p7(s83)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14477, 14475])).
% 1.67/1.89 tff(14479,plain,
% 1.67/1.89 (~xuntil2p8(s82)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3320, 14478])).
% 1.67/1.89 tff(14480,plain,
% 1.67/1.89 (~until2p7(s82)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[12640, 14479])).
% 1.67/1.89 tff(14481,plain,
% 1.67/1.89 (~xuntil2p8(s81)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3332, 14480])).
% 1.67/1.89 tff(14482,plain,
% 1.67/1.89 (~m_main_v_state(s82, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11236, 3154, 13228])).
% 1.67/1.89 tff(14483,plain,
% 1.67/1.89 (~m_main_v_state(s81, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11885, 3154, 13227])).
% 1.67/1.89 tff(14484,plain,
% 1.67/1.89 (m_main_v_state(s81, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11891, 19, 14483])).
% 1.67/1.89 tff(14485,plain,
% 1.67/1.89 (~m_main_v_request(s81)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11900, 14484, 14482])).
% 1.67/1.89 tff(14486,plain,
% 1.67/1.89 (~node4(s81)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11904, 3141, 14485])).
% 1.67/1.89 tff(14487,plain,
% 1.67/1.89 (xuntil2p8(s81) | (~until2p7(s81))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3338, 3051, 14486])).
% 1.67/1.89 tff(14488,plain,
% 1.67/1.89 (~until2p7(s81)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14487, 14481])).
% 1.67/1.89 tff(14489,plain,
% 1.67/1.89 (~xuntil2p8(s80)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3344, 14488])).
% 1.67/1.89 tff(14490,plain,
% 1.67/1.89 (m_main_v_state(s80, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11962, 19, 14444])).
% 1.67/1.89 tff(14491,plain,
% 1.67/1.89 (~m_main_v_request(s80)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11922, 14490, 14483])).
% 1.67/1.89 tff(14492,plain,
% 1.67/1.89 (~node4(s80)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11913, 3141, 14491])).
% 1.67/1.89 tff(14493,plain,
% 1.67/1.89 (xuntil2p8(s80) | (~until2p7(s80))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3350, 3051, 14492])).
% 1.67/1.89 tff(14494,plain,
% 1.67/1.89 (~until2p7(s80)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14493, 14489])).
% 1.67/1.89 tff(14495,plain,
% 1.67/1.89 (~xuntil2p8(s79)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3356, 14494])).
% 1.67/1.89 tff(14496,plain,
% 1.67/1.89 (~m_main_v_state(s79, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11983, 3154, 13225])).
% 1.67/1.89 tff(14497,plain,
% 1.67/1.89 (m_main_v_state(s79, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11988, 19, 14496])).
% 1.67/1.89 tff(14498,plain,
% 1.67/1.89 (~m_main_v_request(s79)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[11997, 14497, 14444])).
% 1.67/1.89 tff(14499,plain,
% 1.67/1.89 (~node4(s79)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[12001, 3141, 14498])).
% 1.67/1.89 tff(14500,plain,
% 1.67/1.89 (xuntil2p8(s79) | (~until2p7(s79))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3362, 3051, 14499])).
% 1.67/1.89 tff(14501,plain,
% 1.67/1.89 (~until2p7(s79)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14500, 14495])).
% 1.67/1.89 tff(14502,plain,
% 1.67/1.89 (~xuntil2p8(s78)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3368, 14501])).
% 1.67/1.89 tff(14503,plain,
% 1.67/1.89 (~m_main_v_state(s78, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8938, 3154, 13224])).
% 1.67/1.89 tff(14504,plain,
% 1.67/1.89 (m_main_v_state(s78, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[12023, 19, 14503])).
% 1.67/1.89 tff(14505,plain,
% 1.67/1.89 (~m_main_v_request(s78)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[12017, 14504, 14496])).
% 1.67/1.89 tff(14506,plain,
% 1.67/1.89 (~node4(s78)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[12008, 3141, 14505])).
% 1.67/1.89 tff(14507,plain,
% 1.67/1.89 (xuntil2p8(s78) | (~until2p7(s78))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3374, 3051, 14506])).
% 1.67/1.89 tff(14508,plain,
% 1.67/1.89 (~until2p7(s78)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14507, 14502])).
% 1.67/1.89 tff(14509,plain,
% 1.67/1.89 (~xuntil2p8(s77)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3380, 14508])).
% 1.67/1.89 tff(14510,plain,
% 1.67/1.89 (m_main_v_state(s77, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8965, 19, 14415])).
% 1.67/1.89 tff(14511,plain,
% 1.67/1.89 (~m_main_v_request(s77)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8954, 14510, 14503])).
% 1.67/1.89 tff(14512,plain,
% 1.67/1.89 (~node4(s77)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8945, 3141, 14511])).
% 1.67/1.89 tff(14513,plain,
% 1.67/1.89 (xuntil2p8(s77) | (~until2p7(s77))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3386, 3051, 14512])).
% 1.67/1.89 tff(14514,plain,
% 1.67/1.89 (~until2p7(s77)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14513, 14509])).
% 1.67/1.89 tff(14515,plain,
% 1.67/1.89 (~xuntil2p8(s76)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3392, 14514])).
% 1.67/1.89 tff(14516,plain,
% 1.67/1.89 (xuntil2p8(s76) | (~until2p7(s76))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3398, 3051, 14438])).
% 1.67/1.89 tff(14517,plain,
% 1.67/1.89 (~until2p7(s76)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14516, 14515])).
% 1.67/1.89 tff(14518,plain,
% 1.67/1.89 (~trans(s99, s76)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[4712, 14450, 14517])).
% 1.67/1.89 tff(14519,plain,
% 1.67/1.89 (~xuntil2p8(s75)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3404, 14517])).
% 1.67/1.89 tff(14520,plain,
% 1.67/1.89 (xuntil2p8(s75) | (~until2p7(s75))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3410, 3051, 8907])).
% 1.67/1.89 tff(14521,plain,
% 1.67/1.89 (~until2p7(s75)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14520, 14519])).
% 1.67/1.89 tff(14522,plain,
% 1.67/1.89 (~xuntil2p8(s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3416, 14521])).
% 1.67/1.89 tff(14523,plain,
% 1.67/1.89 (always3(s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8672, 5553])).
% 1.67/1.89 tff(14524,plain,
% 1.67/1.89 (always3(s75)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1088, 14523])).
% 1.67/1.89 tff(14525,plain,
% 1.67/1.89 (~m_main_v_state(s75, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8901, 3154, 14524])).
% 1.67/1.89 tff(14526,plain,
% 1.67/1.89 (until2p7(s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[5561, 5553, 4303])).
% 1.67/1.89 tff(14527,assumption,(~xuntil2p8(s74)), introduced(assumption)).
% 1.67/1.89 tff(14528,plain,
% 1.67/1.89 (node4(s74) | (~until2p7(s74))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3422, 3051, 14527])).
% 1.67/1.89 tff(14529,plain,
% 1.67/1.89 (node4(s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14528, 14526])).
% 1.67/1.89 tff(14530,plain,
% 1.67/1.89 (m_main_v_request(s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14398, 3141, 14529])).
% 1.67/1.89 tff(14531,plain,
% 1.67/1.89 (~m_main_v_state(s74, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14407, 14530, 14525])).
% 1.67/1.89 tff(14532,plain,
% 1.67/1.89 (~m_main_v_state(s74, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14327, 3154, 14523])).
% 1.67/1.89 tff(14533,plain,
% 1.67/1.89 ($false),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14331, 19, 14532, 14531])).
% 1.67/1.89 tff(14534,plain,((~trans(s99, s74)) | xuntil2p8(s74) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.89 tff(14535,plain,
% 1.67/1.89 (~trans(s99, s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14534, 14450, 14522])).
% 1.67/1.89 tff(14536,plain,
% 1.67/1.89 (~trans(s99, s75)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[5097, 14450, 14521])).
% 1.67/1.89 tff(14537,plain,
% 1.67/1.89 (~trans(s99, s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8714, 8705])).
% 1.67/1.89 tff(14538,plain,
% 1.67/1.89 (trans(s99, s71)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[13128, 14537, 3009, 8425, 8429, 8428, 8427, 10899, 10898, 8426, 10897, 8424, 8423, 8422, 8421, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9519, 8358, 8357, 8356, 8355, 8354, 14450, 8353, 14536, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 14535, 8281, 8280, 8279, 8278, 14518, 8277, 8276, 8275, 8274, 14452, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 8915, 8122])).
% 1.67/1.89 tff(14539,plain,
% 1.67/1.89 ($false),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8805, 14538, 14451])).
% 1.67/1.89 tff(14540,plain,(always3(s73) | node4(s99) | trans(s99, s33) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s70) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | (~until5(s75)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.89 tff(14541,plain,
% 1.67/1.89 (always3(s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14540, 9519, 8425, 8429, 8428, 8427, 10899, 10898, 8426, 10897, 8424, 8423, 8422, 8421, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 3009, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 8915, 8122])).
% 1.67/1.89 tff(14542,plain,
% 1.67/1.89 (always3(s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1117, 14541])).
% 1.67/1.89 tff(14543,plain,
% 1.67/1.89 (~m_main_v_state(s74, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14327, 3154, 14542])).
% 1.67/1.89 tff(14544,plain,
% 1.67/1.89 (~m_main_v_state(s73, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14350, 3154, 14541])).
% 1.67/1.89 tff(14545,plain,
% 1.67/1.89 (m_main_v_state(s73, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14355, 19, 14544])).
% 1.67/1.89 tff(14546,plain,
% 1.67/1.89 (~m_main_v_request(s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14364, 14545, 14543])).
% 1.67/1.89 tff(14547,plain,
% 1.67/1.89 (~node4(s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14368, 3141, 14546])).
% 1.67/1.89 tff(14548,plain,
% 1.67/1.89 (always3(s75)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1088, 14542])).
% 1.67/1.89 tff(14549,plain,
% 1.67/1.89 (~m_main_v_state(s75, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8901, 3154, 14548])).
% 1.67/1.89 tff(14550,plain,
% 1.67/1.89 (m_main_v_state(s74, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14331, 19, 14543])).
% 1.67/1.89 tff(14551,plain,
% 1.67/1.89 (~m_main_v_request(s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14407, 14550, 14549])).
% 1.67/1.89 tff(14552,plain,
% 1.67/1.89 (~node4(s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14398, 3141, 14551])).
% 1.67/1.89 tff(14553,plain,
% 1.67/1.89 (node4(s74) | (~until2p7(s74))),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3422, 3051, 14522])).
% 1.67/1.89 tff(14554,plain,
% 1.67/1.89 (~until2p7(s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14553, 14552])).
% 1.67/1.89 tff(14555,plain,
% 1.67/1.89 (~xuntil2p8(s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3428, 14554])).
% 1.67/1.89 tff(14556,plain,
% 1.67/1.89 (~until2p7(s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[3434, 3051, 14555, 14547])).
% 1.67/1.89 tff(14557,plain,
% 1.67/1.89 (~trans(s99, s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[4778, 14556, 14450])).
% 1.67/1.89 tff(14558,plain,
% 1.67/1.89 (~trans(s99, s72)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8787, 8778])).
% 1.67/1.89 tff(14559,plain,
% 1.67/1.89 (~always3(s71)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1175, 8778])).
% 1.67/1.89 tff(14560,plain,
% 1.67/1.89 (~trans(s99, s71)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8805, 14559])).
% 1.67/1.89 tff(14561,plain,
% 1.67/1.89 ($false),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[13128, 14560, 14558, 3009, 8425, 8429, 8428, 8427, 10899, 10898, 8426, 10897, 8424, 8423, 8422, 8421, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 9519, 8358, 8357, 8356, 8355, 8354, 14450, 8353, 14536, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 14535, 8281, 8280, 8279, 8278, 14518, 8277, 8276, 8275, 8274, 14557, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 8915, 8122])).
% 1.67/1.89 tff(14562,plain,(always3(s72) | node4(s99) | trans(s99, s33) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s70) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | (~until5(s75)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.89 tff(14563,plain,
% 1.67/1.89 (always3(s72)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14562, 14412, 8425, 8429, 8428, 8427, 10899, 10898, 8426, 10897, 8424, 8423, 8422, 8421, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 3009, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 14411, 8122])).
% 1.67/1.89 tff(14564,plain,
% 1.67/1.89 (~m_main_v_state(s72, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14162, 3154, 14563])).
% 1.67/1.89 tff(14565,plain,
% 1.67/1.89 (always3(s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14540, 14412, 8425, 8429, 8428, 8427, 10899, 10898, 8426, 10897, 8424, 8423, 8422, 8421, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 3009, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 14411, 8122])).
% 1.67/1.89 tff(14566,plain,
% 1.67/1.89 (~m_main_v_state(s73, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14350, 3154, 14565])).
% 1.67/1.89 tff(14567,plain,
% 1.67/1.89 (m_main_v_state(s72, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14390, 19, 14564])).
% 1.67/1.89 tff(14568,plain,
% 1.67/1.89 (~m_main_v_request(s72)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14384, 14567, 14566])).
% 1.67/1.89 tff(14569,plain,
% 1.67/1.89 (~node4(s72)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14375, 3141, 14568])).
% 1.67/1.89 tff(14570,plain,
% 1.67/1.89 (always3(s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1117, 14565])).
% 1.67/1.89 tff(14571,plain,
% 1.67/1.89 (~m_main_v_state(s74, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14327, 3154, 14570])).
% 1.67/1.89 tff(14572,plain,
% 1.67/1.89 (m_main_v_state(s73, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14355, 19, 14566])).
% 1.67/1.89 tff(14573,plain,
% 1.67/1.89 (~m_main_v_request(s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14364, 14572, 14571])).
% 1.67/1.89 tff(14574,plain,
% 1.67/1.89 (~node4(s73)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14368, 3141, 14573])).
% 1.67/1.89 tff(14575,plain,
% 1.67/1.89 (always3(s75)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[1088, 14570])).
% 1.67/1.89 tff(14576,plain,
% 1.67/1.89 (~m_main_v_state(s75, c_busy)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[8901, 3154, 14575])).
% 1.67/1.89 tff(14577,plain,
% 1.67/1.89 (m_main_v_state(s74, c_ready)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14331, 19, 14571])).
% 1.67/1.89 tff(14578,plain,
% 1.67/1.89 (~m_main_v_request(s74)),
% 1.67/1.89 inference(unit_resolution,[status(thm)],[14407, 14577, 14576])).
% 1.67/1.90 tff(14579,plain,
% 1.67/1.90 (~node4(s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14398, 3141, 14578])).
% 1.67/1.90 tff(14580,plain,
% 1.67/1.90 (~until2p7(s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14553, 14579])).
% 1.67/1.90 tff(14581,plain,
% 1.67/1.90 (~xuntil2p8(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3428, 14580])).
% 1.67/1.90 tff(14582,plain,
% 1.67/1.90 (~until2p7(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3434, 3051, 14581, 14574])).
% 1.67/1.90 tff(14583,plain,
% 1.67/1.90 (~xuntil2p8(s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3440, 14582])).
% 1.67/1.90 tff(14584,plain,
% 1.67/1.90 (node4(s72) | (~until2p7(s72))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3446, 3051, 14583])).
% 1.67/1.90 tff(14585,plain,
% 1.67/1.90 (~until2p7(s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14584, 14569])).
% 1.67/1.90 tff(14586,plain,
% 1.67/1.90 (~xuntil2p8(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3452, 14585])).
% 1.67/1.90 tff(14587,plain,
% 1.67/1.90 (xuntil6(s75)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[8908, 14411])).
% 1.67/1.90 tff(14588,plain,
% 1.67/1.90 (until5(s76)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1050, 14587])).
% 1.67/1.90 tff(14589,plain,
% 1.67/1.90 (xuntil6(s76)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14439, 14588])).
% 1.67/1.90 tff(14590,plain,
% 1.67/1.90 (until5(s77)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1021, 14589])).
% 1.67/1.90 tff(14591,plain,
% 1.67/1.90 (xuntil6(s77)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[8967, 14590, 14411])).
% 1.67/1.90 tff(14592,plain,
% 1.67/1.90 (until5(s78)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[992, 14591])).
% 1.67/1.90 tff(14593,plain,
% 1.67/1.90 (xuntil6(s79)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14445, 14592])).
% 1.67/1.90 tff(14594,plain,
% 1.67/1.90 (until5(s80)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[934, 14593])).
% 1.67/1.90 tff(14595,plain,
% 1.67/1.90 (xuntil6(s81)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[11964, 14594, 14411, 8122])).
% 1.67/1.90 tff(14596,plain,
% 1.67/1.90 (until5(s82)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[876, 14595])).
% 1.67/1.90 tff(14597,plain,
% 1.67/1.90 (xuntil6(s99)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[11685, 14596, 3009])).
% 1.67/1.90 tff(14598,plain,
% 1.67/1.90 (~trans(s99, s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[4778, 14582, 14597])).
% 1.67/1.90 tff(14599,plain,
% 1.67/1.90 (~trans(s99, s76)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[4712, 14597, 14517])).
% 1.67/1.90 tff(14600,plain,
% 1.67/1.90 (~trans(s99, s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14534, 14597, 14522])).
% 1.67/1.90 tff(14601,plain,
% 1.67/1.90 (~trans(s99, s75)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[5097, 14597, 14521])).
% 1.67/1.90 tff(14602,plain,
% 1.67/1.90 (~trans(s99, s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[5119, 14585, 14597])).
% 1.67/1.90 tff(14603,plain,
% 1.67/1.90 (trans(s99, s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[13128, 14602, 3009, 8425, 8429, 8428, 8427, 10899, 10898, 8426, 10897, 8424, 8423, 8422, 8421, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 14412, 8358, 8357, 8356, 8355, 8354, 14597, 8353, 14601, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 9499, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 14600, 8281, 8280, 8279, 8278, 14599, 8277, 8276, 8275, 8274, 14598, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 14411, 8122])).
% 1.67/1.90 tff(14604,plain,
% 1.67/1.90 (until2p7(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[5220, 14603, 14597])).
% 1.67/1.90 tff(14605,plain,
% 1.67/1.90 (node4(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3458, 3051, 14604, 14586])).
% 1.67/1.90 tff(14606,plain,
% 1.67/1.90 (m_main_v_request(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14169, 3141, 14605])).
% 1.67/1.90 tff(14607,plain,
% 1.67/1.90 (~m_main_v_state(s71, c_ready)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14178, 14606, 14564])).
% 1.67/1.90 tff(14608,plain,
% 1.67/1.90 (always3(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[8805, 14603])).
% 1.67/1.90 tff(14609,plain,
% 1.67/1.90 (~m_main_v_state(s71, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14185, 3154, 14608])).
% 1.67/1.90 tff(14610,plain,
% 1.67/1.90 ($false),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14189, 19, 14609, 14607])).
% 1.67/1.90 tff(14611,plain,(always3(s70) | node4(s99) | trans(s99, s33) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | (~until5(s39)) | (~until5(s70))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.90 tff(14612,plain,
% 1.67/1.90 (always3(s70)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14611, 9499, 8425, 8429, 8428, 8427, 10899, 10898, 8426, 10897, 8424, 8423, 8422, 8421, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 3009, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 8122, 14009])).
% 1.67/1.90 tff(14613,plain,
% 1.67/1.90 (always3(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1204, 14612])).
% 1.67/1.90 tff(14614,plain,
% 1.67/1.90 (~m_main_v_state(s71, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14185, 3154, 14613])).
% 1.67/1.90 tff(14615,assumption,(~m_main_v_state(s71, c_busy)), introduced(assumption)).
% 1.67/1.90 tff(14616,assumption,(node4(s70)), introduced(assumption)).
% 1.67/1.90 tff(14617,plain,
% 1.67/1.90 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s70) | (~node4(s70)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s70) | (~node4(s70)))),
% 1.67/1.90 inference(rewrite,[status(thm)],[])).
% 1.67/1.90 tff(14618,plain,
% 1.67/1.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s70) | (~node4(s70)))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(14619,plain,
% 1.67/1.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s70) | (~node4(s70))),
% 1.67/1.90 inference(modus_ponens,[status(thm)],[14618, 14617])).
% 1.67/1.90 tff(14620,plain,
% 1.67/1.90 (m_main_v_request(s70)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14619, 3141, 14616])).
% 1.67/1.90 tff(14621,plain,
% 1.67/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s70, s71)) | node2(s70, s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s70, s71)) | node2(s70, s71))),
% 1.67/1.90 inference(rewrite,[status(thm)],[])).
% 1.67/1.90 tff(14622,plain,
% 1.67/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s70, s71)) | node2(s70, s71))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(14623,plain,
% 1.67/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s70, s71)) | node2(s70, s71)),
% 1.67/1.90 inference(modus_ponens,[status(thm)],[14622, 14621])).
% 1.67/1.90 tff(14624,plain,
% 1.67/1.90 (node2(s70, s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14623, 7, 1200])).
% 1.67/1.90 tff(14625,plain,
% 1.67/1.90 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s70, c_ready)) | (~node2(s70, s71)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s70)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s70, c_ready)) | (~node2(s70, s71)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s70)))),
% 1.67/1.90 inference(rewrite,[status(thm)],[])).
% 1.67/1.90 tff(14626,plain,
% 1.67/1.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s70, c_ready)) | (~node2(s70, s71)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s70)))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(14627,plain,
% 1.67/1.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s70, c_ready)) | (~node2(s70, s71)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s70))),
% 1.67/1.90 inference(modus_ponens,[status(thm)],[14626, 14625])).
% 1.67/1.90 tff(14628,plain,
% 1.67/1.90 ((~m_main_v_state(s70, c_ready)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s70))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14627, 3175, 14624])).
% 1.67/1.90 tff(14629,plain,
% 1.67/1.90 (~m_main_v_state(s70, c_ready)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14628, 14620, 14615])).
% 1.67/1.90 tff(14630,plain,
% 1.67/1.90 (always3(s70)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1208, 595, 14616])).
% 1.67/1.90 tff(14631,plain,
% 1.67/1.90 (~m_main_v_state(s70, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[13976, 3154, 14630])).
% 1.67/1.90 tff(14632,plain,
% 1.67/1.90 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s70, c_busy) | m_main_v_state(s70, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s70, c_busy) | m_main_v_state(s70, c_ready))),
% 1.67/1.90 inference(rewrite,[status(thm)],[])).
% 1.67/1.90 tff(14633,plain,
% 1.67/1.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s70, c_busy) | m_main_v_state(s70, c_ready))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(14634,plain,
% 1.67/1.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s70, c_busy) | m_main_v_state(s70, c_ready)),
% 1.67/1.90 inference(modus_ponens,[status(thm)],[14633, 14632])).
% 1.67/1.90 tff(14635,plain,
% 1.67/1.90 ($false),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14634, 19, 14631, 14629])).
% 1.67/1.90 tff(14636,plain,((~node4(s70)) | m_main_v_state(s71, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.90 tff(14637,plain,
% 1.67/1.90 (~node4(s70)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14636, 14614])).
% 1.67/1.90 tff(14638,plain,
% 1.67/1.90 (xuntil6(s70)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14011, 14637])).
% 1.67/1.90 tff(14639,plain,
% 1.67/1.90 (until5(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1195, 14638])).
% 1.67/1.90 tff(14640,plain,
% 1.67/1.90 (xuntil6(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14191, 14639, 8122])).
% 1.67/1.90 tff(14641,plain,
% 1.67/1.90 (until5(s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1166, 14640])).
% 1.67/1.90 tff(14642,plain,
% 1.67/1.90 (xuntil6(s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14409, 14641, 8122])).
% 1.67/1.90 tff(14643,plain,
% 1.67/1.90 (until5(s75)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1079, 14642])).
% 1.67/1.90 tff(14644,plain,
% 1.67/1.90 (xuntil6(s75)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[8908, 14643])).
% 1.67/1.90 tff(14645,plain,
% 1.67/1.90 (until5(s76)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1050, 14644])).
% 1.67/1.90 tff(14646,plain,
% 1.67/1.90 (xuntil6(s76)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14439, 14645])).
% 1.67/1.90 tff(14647,plain,
% 1.67/1.90 (until5(s77)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1021, 14646])).
% 1.67/1.90 tff(14648,plain,
% 1.67/1.90 (xuntil6(s77)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[8967, 14647, 14643])).
% 1.67/1.90 tff(14649,plain,
% 1.67/1.90 (until5(s78)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[992, 14648])).
% 1.67/1.90 tff(14650,plain,
% 1.67/1.90 (xuntil6(s79)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14445, 14649])).
% 1.67/1.90 tff(14651,plain,
% 1.67/1.90 (until5(s80)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[934, 14650])).
% 1.67/1.90 tff(14652,plain,
% 1.67/1.90 (xuntil6(s81)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[11964, 14651, 14643, 8122])).
% 1.67/1.90 tff(14653,plain,
% 1.67/1.90 (until5(s82)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[876, 14652])).
% 1.67/1.90 tff(14654,plain,
% 1.67/1.90 (xuntil6(s99)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[11685, 14653, 3009])).
% 1.67/1.90 tff(14655,plain,
% 1.67/1.90 (always3(s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1175, 14613])).
% 1.67/1.90 tff(14656,plain,
% 1.67/1.90 (always3(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1146, 14655])).
% 1.67/1.90 tff(14657,plain,
% 1.67/1.90 (always3(s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1117, 14656])).
% 1.67/1.90 tff(14658,plain,
% 1.67/1.90 (~m_main_v_state(s74, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14327, 3154, 14657])).
% 1.67/1.90 tff(14659,plain,
% 1.67/1.90 (~m_main_v_state(s73, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14350, 3154, 14656])).
% 1.67/1.90 tff(14660,plain,
% 1.67/1.90 (m_main_v_state(s73, c_ready)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14355, 19, 14659])).
% 1.67/1.90 tff(14661,plain,
% 1.67/1.90 (~m_main_v_request(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14364, 14660, 14658])).
% 1.67/1.90 tff(14662,plain,
% 1.67/1.90 (~node4(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14368, 3141, 14661])).
% 1.67/1.90 tff(14663,plain,
% 1.67/1.90 (always3(s75)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1088, 14657])).
% 1.67/1.90 tff(14664,plain,
% 1.67/1.90 (~m_main_v_state(s75, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[8901, 3154, 14663])).
% 1.67/1.90 tff(14665,plain,
% 1.67/1.90 (m_main_v_state(s74, c_ready)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14331, 19, 14658])).
% 1.67/1.90 tff(14666,plain,
% 1.67/1.90 (~m_main_v_request(s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14407, 14665, 14664])).
% 1.67/1.90 tff(14667,plain,
% 1.67/1.90 (~node4(s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14398, 3141, 14666])).
% 1.67/1.90 tff(14668,plain,
% 1.67/1.90 (~until2p7(s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14553, 14667])).
% 1.67/1.90 tff(14669,plain,
% 1.67/1.90 (~xuntil2p8(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3428, 14668])).
% 1.67/1.90 tff(14670,plain,
% 1.67/1.90 (~until2p7(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3434, 3051, 14669, 14662])).
% 1.67/1.90 tff(14671,plain,
% 1.67/1.90 (~xuntil2p8(s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3440, 14670])).
% 1.67/1.90 tff(14672,plain,
% 1.67/1.90 (~m_main_v_state(s72, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14162, 3154, 14655])).
% 1.67/1.90 tff(14673,plain,
% 1.67/1.90 (m_main_v_state(s72, c_ready)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14390, 19, 14672])).
% 1.67/1.90 tff(14674,plain,
% 1.67/1.90 (~m_main_v_request(s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14384, 14673, 14659])).
% 1.67/1.90 tff(14675,plain,
% 1.67/1.90 (~node4(s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14375, 3141, 14674])).
% 1.67/1.90 tff(14676,plain,
% 1.67/1.90 (xuntil2p8(s72) | (~until2p7(s72))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3446, 3051, 14675])).
% 1.67/1.90 tff(14677,plain,
% 1.67/1.90 (~until2p7(s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14676, 14671])).
% 1.67/1.90 tff(14678,plain,
% 1.67/1.90 (~xuntil2p8(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3452, 14677])).
% 1.67/1.90 tff(14679,plain,
% 1.67/1.90 (m_main_v_state(s71, c_ready)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14189, 19, 14614])).
% 1.67/1.90 tff(14680,plain,
% 1.67/1.90 (~m_main_v_request(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14178, 14679, 14672])).
% 1.67/1.90 tff(14681,plain,
% 1.67/1.90 (~node4(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14169, 3141, 14680])).
% 1.67/1.90 tff(14682,plain,
% 1.67/1.90 (xuntil2p8(s71) | (~until2p7(s71))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3458, 3051, 14681])).
% 1.67/1.90 tff(14683,plain,
% 1.67/1.90 (~until2p7(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14682, 14678])).
% 1.67/1.90 tff(14684,plain,
% 1.67/1.90 (~xuntil2p8(s70)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3464, 14683])).
% 1.67/1.90 tff(14685,plain,
% 1.67/1.90 (xuntil2p8(s70) | (~until2p7(s70))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3470, 3051, 14637])).
% 1.67/1.90 tff(14686,plain,
% 1.67/1.90 (~until2p7(s70)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14685, 14684])).
% 1.67/1.90 tff(14687,plain,
% 1.67/1.90 (~trans(s99, s91)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[4335, 14654, 13292])).
% 1.67/1.90 tff(14688,plain,
% 1.67/1.90 ((~trans(s99, s86)) | xuntil2p8(s86) | (~xuntil6(s99))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[12623, 13316])).
% 1.67/1.90 tff(14689,plain,
% 1.67/1.90 (~trans(s99, s86)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14688, 14654, 14453])).
% 1.67/1.90 tff(14690,plain,
% 1.67/1.90 (~trans(s99, s92)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[4910, 14654, 13288])).
% 1.67/1.90 tff(14691,plain,
% 1.67/1.90 (~trans(s99, s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[4778, 14670, 14654])).
% 1.67/1.90 tff(14692,plain,
% 1.67/1.90 (~trans(s99, s76)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[4712, 14654, 14517])).
% 1.67/1.90 tff(14693,plain,
% 1.67/1.90 (~trans(s99, s79)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[5484, 14654, 14501])).
% 1.67/1.90 tff(14694,plain,
% 1.67/1.90 (~trans(s99, s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14534, 14654, 14522])).
% 1.67/1.90 tff(14695,plain,
% 1.67/1.90 ((~trans(s99, s81)) | xuntil2p8(s86) | (~xuntil6(s99))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[12664, 13316])).
% 1.67/1.90 tff(14696,plain,
% 1.67/1.90 (~trans(s99, s81)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14695, 14654, 14453])).
% 1.67/1.90 tff(14697,plain,
% 1.67/1.90 ((~trans(s99, s95)) | xuntil2p8(s97) | (~xuntil6(s99))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[12075, 13245])).
% 1.67/1.90 tff(14698,plain,
% 1.67/1.90 (~trans(s99, s95)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14697, 14654, 13251])).
% 1.67/1.90 tff(14699,plain,
% 1.67/1.90 ((~trans(s99, s97)) | xuntil2p8(s97) | (~xuntil6(s99))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[12135, 13245])).
% 1.67/1.90 tff(14700,plain,
% 1.67/1.90 (~trans(s99, s97)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14699, 14654, 13251])).
% 1.67/1.90 tff(14701,plain,
% 1.67/1.90 (~trans(s99, s90)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[5264, 14654, 13300])).
% 1.67/1.90 tff(14702,plain,
% 1.67/1.90 (~trans(s99, s87)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[5550, 14654, 13321])).
% 1.67/1.90 tff(14703,plain,
% 1.67/1.90 ((~trans(s99, s93)) | xuntil2p8(s95) | (~xuntil6(s99))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[12215, 13259])).
% 1.67/1.90 tff(14704,plain,
% 1.67/1.90 (~trans(s99, s93)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14703, 14654, 13265])).
% 1.67/1.90 tff(14705,plain,
% 1.67/1.90 (~trans(s99, s96)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[5609, 14654, 13264])).
% 1.67/1.90 tff(14706,plain,
% 1.67/1.90 (~trans(s99, s75)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[5097, 14654, 14521])).
% 1.67/1.90 tff(14707,plain,
% 1.67/1.90 (~trans(s99, s99)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[4932, 14654, 8442])).
% 1.67/1.90 tff(14708,plain,
% 1.67/1.90 ((~trans(s99, s88)) | xuntil2p8(s95) | (~xuntil6(s99))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[12410, 13259])).
% 1.67/1.90 tff(14709,plain,
% 1.67/1.90 (~trans(s99, s88)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14708, 14654, 13265])).
% 1.67/1.90 tff(14710,plain,
% 1.67/1.90 (~trans(s99, s80)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[5009, 14654, 14494])).
% 1.67/1.90 tff(14711,plain,
% 1.67/1.90 (~trans(s99, s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[5119, 14677, 14654])).
% 1.67/1.90 tff(14712,plain,
% 1.67/1.90 (~trans(s99, s82)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[4822, 14654, 14480])).
% 1.67/1.90 tff(14713,plain,
% 1.67/1.90 (~trans(s99, s94)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[12115, 14654, 8443])).
% 1.67/1.90 tff(14714,plain,
% 1.67/1.90 (~trans(s99, s98)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[12125, 14654, 8443])).
% 1.67/1.90 tff(14715,plain,
% 1.67/1.90 ((~trans(s99, s83)) | xuntil2p8(s95) | (~xuntil6(s99))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[12354, 13259])).
% 1.67/1.90 tff(14716,plain,
% 1.67/1.90 (~trans(s99, s83)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14715, 14654, 13265])).
% 1.67/1.90 tff(14717,plain,
% 1.67/1.90 (~trans(s99, s78)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[5374, 14654, 14508])).
% 1.67/1.90 tff(14718,plain,
% 1.67/1.90 ((~trans(s99, s77)) | xuntil2p8(s78) | (~xuntil6(s99))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[13117, 14496])).
% 1.67/1.90 tff(14719,plain,
% 1.67/1.90 (~trans(s99, s77)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14718, 14654, 14502])).
% 1.67/1.90 tff(14720,plain,
% 1.67/1.90 (~trans(s99, s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[5220, 14683, 14654])).
% 1.67/1.90 tff(14721,plain,
% 1.67/1.90 (trans(s99, s70)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[12565, 14720, 13293, 8428, 14719, 14717, 14716, 8425, 14714, 8429, 14713, 8424, 14712, 8427, 10899, 10898, 8426, 10897, 14711, 8423, 8422, 8421, 14710, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 14654, 8358, 8357, 8356, 8355, 8354, 14709, 14707, 8353, 14706, 8352, 9508, 8351, 8350, 9507, 9506, 8338, 14705, 9503, 9502, 9501, 8302, 8301, 9499, 14704, 8300, 14702, 14701, 14700, 8299, 8298, 8297, 14698, 8296, 14696, 8295, 8294, 10892, 14694, 8281, 8280, 8279, 8278, 14693, 14692, 8277, 8276, 8275, 8274, 14691, 14690, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 14689, 8227, 14687])).
% 1.67/1.90 tff(14722,plain,
% 1.67/1.90 ($false),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[5418, 14721, 14686, 14654])).
% 1.67/1.90 tff(14723,plain,(trans(s99, s69) | trans(s99, s9) | trans(s99, s33) | trans(s99, s46) | trans(s99, s6) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | node4(s99) | (~until5(s39)) | (~until5(s70))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.90 tff(14724,plain,
% 1.67/1.90 (trans(s99, s69)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14723, 14008, 8425, 8429, 8424, 8427, 10899, 10898, 8426, 10897, 8423, 8422, 8421, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 9511, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8428, 8351, 8350, 9507, 9506, 8338, 9503, 9502, 9501, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 10886, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 3009, 8122, 14007])).
% 1.67/1.90 tff(14725,plain,
% 1.67/1.90 (always3(s69)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[8733, 14724])).
% 1.67/1.90 tff(14726,plain,
% 1.67/1.90 (always3(s70)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1233, 14725])).
% 1.67/1.90 tff(14727,plain,
% 1.67/1.90 (~m_main_v_state(s70, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[13976, 3154, 14726])).
% 1.67/1.90 tff(14728,plain,
% 1.67/1.90 (~m_main_v_state(s69, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[13999, 3154, 14725])).
% 1.67/1.90 tff(14729,plain,
% 1.67/1.90 (m_main_v_state(s69, c_ready)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14003, 19, 14728])).
% 1.67/1.90 tff(14730,plain,
% 1.67/1.90 (~m_main_v_request(s69)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[13992, 14729, 14727])).
% 1.67/1.90 tff(14731,plain,
% 1.67/1.90 (~node4(s69)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[13983, 3141, 14730])).
% 1.67/1.90 tff(14732,plain,
% 1.67/1.90 (always3(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1204, 14726])).
% 1.67/1.90 tff(14733,plain,
% 1.67/1.90 (~m_main_v_state(s71, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14185, 3154, 14732])).
% 1.67/1.90 tff(14734,plain,
% 1.67/1.90 (~node4(s70)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14636, 14733])).
% 1.67/1.90 tff(14735,plain,
% 1.67/1.90 (xuntil6(s70) | node4(s70)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1215, 614, 14007])).
% 1.67/1.90 tff(14736,plain,
% 1.67/1.90 (xuntil6(s70)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14735, 14734])).
% 1.67/1.90 tff(14737,plain,
% 1.67/1.90 (until5(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1195, 14736])).
% 1.67/1.90 tff(14738,plain,
% 1.67/1.90 (xuntil6(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14191, 14737, 8122])).
% 1.67/1.90 tff(14739,plain,
% 1.67/1.90 (until5(s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1166, 14738])).
% 1.67/1.90 tff(14740,plain,
% 1.67/1.90 (xuntil6(s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14409, 14739, 8122])).
% 1.67/1.90 tff(14741,plain,
% 1.67/1.90 (until5(s75)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1079, 14740])).
% 1.67/1.90 tff(14742,plain,
% 1.67/1.90 (xuntil6(s75)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[8908, 14741])).
% 1.67/1.90 tff(14743,plain,
% 1.67/1.90 (until5(s76)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1050, 14742])).
% 1.67/1.90 tff(14744,plain,
% 1.67/1.90 (xuntil6(s76)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14439, 14743])).
% 1.67/1.90 tff(14745,plain,
% 1.67/1.90 (until5(s77)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1021, 14744])).
% 1.67/1.90 tff(14746,plain,
% 1.67/1.90 (xuntil6(s77)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[8967, 14745, 14741])).
% 1.67/1.90 tff(14747,plain,
% 1.67/1.90 (until5(s78)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[992, 14746])).
% 1.67/1.90 tff(14748,plain,
% 1.67/1.90 (xuntil6(s79)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14445, 14747])).
% 1.67/1.90 tff(14749,plain,
% 1.67/1.90 (until5(s80)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[934, 14748])).
% 1.67/1.90 tff(14750,plain,
% 1.67/1.90 (xuntil6(s81)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[11964, 14749, 14741, 8122])).
% 1.67/1.90 tff(14751,plain,
% 1.67/1.90 (until5(s82)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[876, 14750])).
% 1.67/1.90 tff(14752,plain,
% 1.67/1.90 (xuntil6(s99)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[11685, 14751, 3009])).
% 1.67/1.90 tff(14753,plain,
% 1.67/1.90 (until2p7(s69)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[4943, 14752, 14724])).
% 1.67/1.90 tff(14754,plain,
% 1.67/1.90 (node4(s69) | xuntil2p8(s69)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3482, 3051, 14753])).
% 1.67/1.90 tff(14755,plain,
% 1.67/1.90 (xuntil2p8(s69)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14754, 14731])).
% 1.67/1.90 tff(14756,plain,
% 1.67/1.90 (until2p7(s70)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3476, 14755])).
% 1.67/1.90 tff(14757,plain,
% 1.67/1.90 (xuntil2p8(s70) | (~until2p7(s70))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3470, 3051, 14734])).
% 1.67/1.90 tff(14758,plain,
% 1.67/1.90 (xuntil2p8(s70)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14757, 14756])).
% 1.67/1.90 tff(14759,plain,
% 1.67/1.90 (always3(s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1175, 14732])).
% 1.67/1.90 tff(14760,plain,
% 1.67/1.90 (always3(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1146, 14759])).
% 1.67/1.90 tff(14761,plain,
% 1.67/1.90 (always3(s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1117, 14760])).
% 1.67/1.90 tff(14762,plain,
% 1.67/1.90 (~m_main_v_state(s74, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14327, 3154, 14761])).
% 1.67/1.90 tff(14763,plain,
% 1.67/1.90 (~m_main_v_state(s73, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14350, 3154, 14760])).
% 1.67/1.90 tff(14764,plain,
% 1.67/1.90 (m_main_v_state(s73, c_ready)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14355, 19, 14763])).
% 1.67/1.90 tff(14765,plain,
% 1.67/1.90 (~m_main_v_request(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14364, 14764, 14762])).
% 1.67/1.90 tff(14766,plain,
% 1.67/1.90 (~node4(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14368, 3141, 14765])).
% 1.67/1.90 tff(14767,plain,
% 1.67/1.90 (always3(s75)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1088, 14761])).
% 1.67/1.90 tff(14768,plain,
% 1.67/1.90 (~m_main_v_state(s75, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[8901, 3154, 14767])).
% 1.67/1.90 tff(14769,plain,
% 1.67/1.90 (m_main_v_state(s74, c_ready)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14331, 19, 14762])).
% 1.67/1.90 tff(14770,plain,
% 1.67/1.90 (~m_main_v_request(s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14407, 14769, 14768])).
% 1.67/1.90 tff(14771,plain,
% 1.67/1.90 (~node4(s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14398, 3141, 14770])).
% 1.67/1.90 tff(14772,plain,
% 1.67/1.90 (~until2p7(s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14553, 14771])).
% 1.67/1.90 tff(14773,plain,
% 1.67/1.90 (~xuntil2p8(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3428, 14772])).
% 1.67/1.90 tff(14774,plain,
% 1.67/1.90 (~until2p7(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3434, 3051, 14773, 14766])).
% 1.67/1.90 tff(14775,plain,
% 1.67/1.90 (~xuntil2p8(s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3440, 14774])).
% 1.67/1.90 tff(14776,plain,
% 1.67/1.90 (~m_main_v_state(s72, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14162, 3154, 14759])).
% 1.67/1.90 tff(14777,plain,
% 1.67/1.90 (m_main_v_state(s72, c_ready)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14390, 19, 14776])).
% 1.67/1.90 tff(14778,plain,
% 1.67/1.90 (~m_main_v_request(s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14384, 14777, 14763])).
% 1.67/1.90 tff(14779,plain,
% 1.67/1.90 (~node4(s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14375, 3141, 14778])).
% 1.67/1.90 tff(14780,plain,
% 1.67/1.90 (xuntil2p8(s72) | (~until2p7(s72))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3446, 3051, 14779])).
% 1.67/1.90 tff(14781,plain,
% 1.67/1.90 (~until2p7(s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14780, 14775])).
% 1.67/1.90 tff(14782,plain,
% 1.67/1.90 (~xuntil2p8(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3452, 14781])).
% 1.67/1.90 tff(14783,plain,
% 1.67/1.90 (m_main_v_state(s71, c_ready)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14189, 19, 14733])).
% 1.67/1.90 tff(14784,plain,
% 1.67/1.90 (~m_main_v_request(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14178, 14783, 14776])).
% 1.67/1.90 tff(14785,plain,
% 1.67/1.90 (~node4(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14169, 3141, 14784])).
% 1.67/1.90 tff(14786,plain,
% 1.67/1.90 (xuntil2p8(s71) | (~until2p7(s71))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3458, 3051, 14785])).
% 1.67/1.90 tff(14787,plain,
% 1.67/1.90 (~until2p7(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14786, 14782])).
% 1.67/1.90 tff(14788,plain,
% 1.67/1.90 ($false),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3464, 14787, 14758])).
% 1.67/1.90 tff(14789,plain,(always3(s68) | node4(s99) | (~until5(s39)) | trans(s99, s33) | trans(s99, s46) | trans(s99, s6) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s9) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | (~until5(s66))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.90 tff(14790,plain,
% 1.67/1.90 (always3(s68)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14789, 13625, 3009, 13820, 13819, 13818, 13817, 13816, 13815, 13814, 13813, 13812, 13811, 13810, 13809, 13808, 13807, 13806, 13805, 13804, 13803, 13802, 13801, 13800, 13799, 13798, 13797, 13796, 13795, 13794, 13791, 13790, 13789, 13788, 13787, 13786, 13785, 13784, 13783, 13782, 13781, 13780, 13779, 13778, 13777, 13776, 13775, 13774, 13773, 13772, 13771, 13770, 13769, 13768, 13767, 13766, 13765, 13764, 13763, 13762, 13748, 13747, 13746, 13745, 13744, 13743, 13742, 13741, 13740, 13739, 13738, 13714])).
% 1.67/1.90 tff(14791,plain,
% 1.67/1.90 (always3(s69)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1262, 14790])).
% 1.67/1.90 tff(14792,plain,
% 1.67/1.90 (~m_main_v_state(s69, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[13999, 3154, 14791])).
% 1.67/1.90 tff(14793,plain,
% 1.67/1.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s68)) | (~m_main_v_state(s68, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s68)) | (~m_main_v_state(s68, c_busy)))),
% 1.67/1.90 inference(rewrite,[status(thm)],[])).
% 1.67/1.90 tff(14794,plain,
% 1.67/1.90 (((~m_main_v_state(s68, c_busy)) | (~always3(s68))) <=> ((~always3(s68)) | (~m_main_v_state(s68, c_busy)))),
% 1.67/1.90 inference(rewrite,[status(thm)],[])).
% 1.67/1.90 tff(14795,plain,
% 1.67/1.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s68, c_busy)) | (~always3(s68)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s68)) | (~m_main_v_state(s68, c_busy))))),
% 1.67/1.90 inference(monotonicity,[status(thm)],[14794])).
% 1.67/1.90 tff(14796,plain,
% 1.67/1.90 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s68, c_busy)) | (~always3(s68)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s68)) | (~m_main_v_state(s68, c_busy)))),
% 1.67/1.90 inference(transitivity,[status(thm)],[14795, 14793])).
% 1.67/1.90 tff(14797,plain,
% 1.67/1.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s68, c_busy)) | (~always3(s68)))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(14798,plain,
% 1.67/1.90 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s68)) | (~m_main_v_state(s68, c_busy))),
% 1.67/1.90 inference(modus_ponens,[status(thm)],[14797, 14796])).
% 1.67/1.90 tff(14799,plain,
% 1.67/1.90 (~m_main_v_state(s68, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14798, 3154, 14790])).
% 1.67/1.90 tff(14800,plain,
% 1.67/1.90 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s68, c_busy) | m_main_v_state(s68, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s68, c_busy) | m_main_v_state(s68, c_ready))),
% 1.67/1.90 inference(rewrite,[status(thm)],[])).
% 1.67/1.90 tff(14801,plain,
% 1.67/1.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s68, c_busy) | m_main_v_state(s68, c_ready))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(14802,plain,
% 1.67/1.90 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s68, c_busy) | m_main_v_state(s68, c_ready)),
% 1.67/1.90 inference(modus_ponens,[status(thm)],[14801, 14800])).
% 1.67/1.90 tff(14803,plain,
% 1.67/1.90 (m_main_v_state(s68, c_ready)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14802, 19, 14799])).
% 1.67/1.90 tff(14804,plain,
% 1.67/1.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s68, s69)) | node2(s68, s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s68, s69)) | node2(s68, s69))),
% 1.67/1.90 inference(rewrite,[status(thm)],[])).
% 1.67/1.90 tff(14805,plain,
% 1.67/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s68, s69)) | node2(s68, s69))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(14806,plain,
% 1.67/1.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s68, s69)) | node2(s68, s69)),
% 1.67/1.90 inference(modus_ponens,[status(thm)],[14805, 14804])).
% 1.67/1.90 tff(14807,plain,
% 1.67/1.90 (node2(s68, s69)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14806, 7, 1258])).
% 1.67/1.90 tff(14808,plain,
% 1.67/1.90 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s68, c_ready)) | (~node2(s68, s69)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s68)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s68, c_ready)) | (~node2(s68, s69)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s68)))),
% 1.67/1.90 inference(rewrite,[status(thm)],[])).
% 1.67/1.90 tff(14809,plain,
% 1.67/1.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s68, c_ready)) | (~node2(s68, s69)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s68)))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(14810,plain,
% 1.67/1.90 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s68, c_ready)) | (~node2(s68, s69)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s68))),
% 1.67/1.90 inference(modus_ponens,[status(thm)],[14809, 14808])).
% 1.67/1.90 tff(14811,plain,
% 1.67/1.90 ((~m_main_v_state(s68, c_ready)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s68))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14810, 3175, 14807])).
% 1.67/1.90 tff(14812,plain,
% 1.67/1.90 (~m_main_v_request(s68)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14811, 14803, 14792])).
% 1.67/1.90 tff(14813,plain,
% 1.67/1.90 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s68) | (~node4(s68)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s68) | (~node4(s68)))),
% 1.67/1.90 inference(rewrite,[status(thm)],[])).
% 1.67/1.90 tff(14814,plain,
% 1.67/1.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s68) | (~node4(s68)))),
% 1.67/1.90 inference(quant_inst,[status(thm)],[])).
% 1.67/1.90 tff(14815,plain,
% 1.67/1.90 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s68) | (~node4(s68))),
% 1.67/1.90 inference(modus_ponens,[status(thm)],[14814, 14813])).
% 1.67/1.90 tff(14816,plain,
% 1.67/1.90 (~node4(s68)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14815, 3141, 14812])).
% 1.67/1.90 tff(14817,plain,
% 1.67/1.90 (xuntil6(s66)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[13592, 13714])).
% 1.67/1.90 tff(14818,plain,
% 1.67/1.90 (until5(s67)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1311, 14817])).
% 1.67/1.90 tff(14819,plain,
% 1.67/1.90 (~node4(s67)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1295, 595, 8651])).
% 1.67/1.90 tff(14820,plain,
% 1.67/1.90 (xuntil6(s67) | (~until5(s67))),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1302, 614, 14819])).
% 1.67/1.90 tff(14821,plain,
% 1.67/1.90 (xuntil6(s67)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14820, 14818])).
% 1.67/1.90 tff(14822,plain,
% 1.67/1.90 (until5(s68)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1282, 14821])).
% 1.67/1.90 tff(14823,plain,
% 1.67/1.90 (xuntil6(s68) | node4(s68)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1273, 614, 14822])).
% 1.67/1.90 tff(14824,plain,
% 1.67/1.90 (xuntil6(s68)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14823, 14816])).
% 1.67/1.90 tff(14825,plain,
% 1.67/1.90 (until5(s69)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1253, 14824])).
% 1.67/1.90 tff(14826,plain,
% 1.67/1.90 (xuntil6(s69)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14005, 14825, 13625])).
% 1.67/1.90 tff(14827,plain,
% 1.67/1.90 (until5(s70)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1224, 14826])).
% 1.67/1.90 tff(14828,plain,
% 1.67/1.90 (always3(s70)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1233, 14791])).
% 1.67/1.90 tff(14829,plain,
% 1.67/1.90 (always3(s71)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1204, 14828])).
% 1.67/1.90 tff(14830,plain,
% 1.67/1.90 (always3(s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1175, 14829])).
% 1.67/1.90 tff(14831,plain,
% 1.67/1.90 (always3(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1146, 14830])).
% 1.67/1.90 tff(14832,plain,
% 1.67/1.90 (always3(s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1117, 14831])).
% 1.67/1.90 tff(14833,plain,
% 1.67/1.90 (~m_main_v_state(s74, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14327, 3154, 14832])).
% 1.67/1.90 tff(14834,plain,
% 1.67/1.90 (~m_main_v_state(s73, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14350, 3154, 14831])).
% 1.67/1.90 tff(14835,plain,
% 1.67/1.90 (m_main_v_state(s73, c_ready)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14355, 19, 14834])).
% 1.67/1.90 tff(14836,plain,
% 1.67/1.90 (~m_main_v_request(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14364, 14835, 14833])).
% 1.67/1.90 tff(14837,plain,
% 1.67/1.90 (~node4(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14368, 3141, 14836])).
% 1.67/1.90 tff(14838,plain,
% 1.67/1.90 (always3(s75)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[1088, 14832])).
% 1.67/1.90 tff(14839,plain,
% 1.67/1.90 (~m_main_v_state(s75, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[8901, 3154, 14838])).
% 1.67/1.90 tff(14840,plain,
% 1.67/1.90 (m_main_v_state(s74, c_ready)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14331, 19, 14833])).
% 1.67/1.90 tff(14841,plain,
% 1.67/1.90 (~m_main_v_request(s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14407, 14840, 14839])).
% 1.67/1.90 tff(14842,plain,
% 1.67/1.90 (~node4(s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14398, 3141, 14841])).
% 1.67/1.90 tff(14843,plain,
% 1.67/1.90 (~until2p7(s74)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14553, 14842])).
% 1.67/1.90 tff(14844,plain,
% 1.67/1.90 (~xuntil2p8(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3428, 14843])).
% 1.67/1.90 tff(14845,plain,
% 1.67/1.90 (~until2p7(s73)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3434, 3051, 14844, 14837])).
% 1.67/1.90 tff(14846,plain,
% 1.67/1.90 (~xuntil2p8(s72)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[3440, 14845])).
% 1.67/1.90 tff(14847,plain,
% 1.67/1.90 (~m_main_v_state(s72, c_busy)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14162, 3154, 14830])).
% 1.67/1.90 tff(14848,plain,
% 1.67/1.90 (m_main_v_state(s72, c_ready)),
% 1.67/1.90 inference(unit_resolution,[status(thm)],[14390, 19, 14847])).
% 1.67/1.91 tff(14849,plain,
% 1.67/1.91 (~m_main_v_request(s72)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14384, 14848, 14834])).
% 1.67/1.91 tff(14850,plain,
% 1.67/1.91 (~node4(s72)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14375, 3141, 14849])).
% 1.67/1.91 tff(14851,plain,
% 1.67/1.91 (xuntil2p8(s72) | (~until2p7(s72))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3446, 3051, 14850])).
% 1.67/1.91 tff(14852,plain,
% 1.67/1.91 (~until2p7(s72)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14851, 14846])).
% 1.67/1.91 tff(14853,plain,
% 1.67/1.91 (~xuntil2p8(s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3452, 14852])).
% 1.67/1.91 tff(14854,plain,
% 1.67/1.91 (~m_main_v_state(s71, c_busy)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14185, 3154, 14829])).
% 1.67/1.91 tff(14855,plain,
% 1.67/1.91 (m_main_v_state(s71, c_ready)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14189, 19, 14854])).
% 1.67/1.91 tff(14856,plain,
% 1.67/1.91 (~m_main_v_request(s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14178, 14855, 14847])).
% 1.67/1.91 tff(14857,plain,
% 1.67/1.91 (~node4(s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14169, 3141, 14856])).
% 1.67/1.91 tff(14858,plain,
% 1.67/1.91 (xuntil2p8(s71) | (~until2p7(s71))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3458, 3051, 14857])).
% 1.67/1.91 tff(14859,plain,
% 1.67/1.91 (~until2p7(s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14858, 14853])).
% 1.67/1.91 tff(14860,plain,
% 1.67/1.91 (~xuntil2p8(s70)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3464, 14859])).
% 1.67/1.91 tff(14861,plain,
% 1.67/1.91 (~node4(s70)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14636, 14854])).
% 1.67/1.91 tff(14862,plain,
% 1.67/1.91 (xuntil2p8(s70) | (~until2p7(s70))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3470, 3051, 14861])).
% 1.67/1.91 tff(14863,plain,
% 1.67/1.91 (~until2p7(s70)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14862, 14860])).
% 1.67/1.91 tff(14864,plain,
% 1.67/1.91 (~xuntil2p8(s69)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3476, 14863])).
% 1.67/1.91 tff(14865,plain,
% 1.67/1.91 (~m_main_v_state(s70, c_busy)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13976, 3154, 14828])).
% 1.67/1.91 tff(14866,plain,
% 1.67/1.91 (m_main_v_state(s69, c_ready)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14003, 19, 14792])).
% 1.67/1.91 tff(14867,plain,
% 1.67/1.91 (~m_main_v_request(s69)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13992, 14866, 14865])).
% 1.67/1.91 tff(14868,plain,
% 1.67/1.91 (~node4(s69)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13983, 3141, 14867])).
% 1.67/1.91 tff(14869,plain,
% 1.67/1.91 (xuntil2p8(s69) | (~until2p7(s69))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3482, 3051, 14868])).
% 1.67/1.91 tff(14870,plain,
% 1.67/1.91 (~until2p7(s69)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14869, 14864])).
% 1.67/1.91 tff(14871,plain,
% 1.67/1.91 (xuntil6(s70)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1215, 614, 14827, 14861])).
% 1.67/1.91 tff(14872,plain,
% 1.67/1.91 (until5(s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1195, 14871])).
% 1.67/1.91 tff(14873,plain,
% 1.67/1.91 (xuntil6(s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14191, 14872, 13625])).
% 1.67/1.91 tff(14874,plain,
% 1.67/1.91 (until5(s72)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1166, 14873])).
% 1.67/1.91 tff(14875,plain,
% 1.67/1.91 (xuntil6(s74)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14409, 14874, 13625])).
% 1.67/1.91 tff(14876,plain,
% 1.67/1.91 (until5(s75)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1079, 14875])).
% 1.67/1.91 tff(14877,plain,
% 1.67/1.91 (xuntil6(s75)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[8908, 14876])).
% 1.67/1.91 tff(14878,plain,
% 1.67/1.91 (until5(s76)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1050, 14877])).
% 1.67/1.91 tff(14879,plain,
% 1.67/1.91 (xuntil6(s76)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14439, 14878])).
% 1.67/1.91 tff(14880,plain,
% 1.67/1.91 (until5(s77)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1021, 14879])).
% 1.67/1.91 tff(14881,plain,
% 1.67/1.91 (xuntil6(s77)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[8967, 14880, 14876])).
% 1.67/1.91 tff(14882,plain,
% 1.67/1.91 (until5(s78)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[992, 14881])).
% 1.67/1.91 tff(14883,plain,
% 1.67/1.91 (xuntil6(s79)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14445, 14882])).
% 1.67/1.91 tff(14884,plain,
% 1.67/1.91 (until5(s80)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[934, 14883])).
% 1.67/1.91 tff(14885,plain,
% 1.67/1.91 (xuntil6(s81)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[11964, 14884, 14876, 13625])).
% 1.67/1.91 tff(14886,plain,
% 1.67/1.91 (until5(s82)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[876, 14885])).
% 1.67/1.91 tff(14887,plain,
% 1.67/1.91 (xuntil6(s99)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[11685, 14886, 3009])).
% 1.67/1.91 tff(14888,plain,
% 1.67/1.91 (~trans(s99, s69)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[4943, 14887, 14870])).
% 1.67/1.91 tff(14889,plain,
% 1.67/1.91 (~xuntil2p8(s68)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3488, 14870])).
% 1.67/1.91 tff(14890,plain,
% 1.67/1.91 (xuntil2p8(s68) | (~until2p7(s68))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3494, 3051, 14816])).
% 1.67/1.91 tff(14891,plain,
% 1.67/1.91 (~until2p7(s68)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14890, 14889])).
% 1.67/1.91 tff(14892,plain,
% 1.67/1.91 (~trans(s99, s68)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5075, 14887, 14891])).
% 1.67/1.91 tff(14893,plain,
% 1.67/1.91 ($false),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14723, 14892, 14888, 13820, 13819, 13818, 13817, 13816, 13815, 13814, 13813, 13812, 13811, 13810, 13809, 13808, 13807, 13806, 13805, 13804, 13803, 13802, 13801, 13800, 13799, 13798, 13797, 13796, 13795, 13794, 13791, 13790, 13789, 13788, 13787, 13786, 13785, 13784, 13783, 13782, 13781, 13780, 13779, 13778, 13777, 13776, 13775, 13774, 13773, 13772, 13771, 13770, 13769, 13768, 13767, 13766, 13765, 13764, 13763, 13762, 13748, 13747, 13746, 13745, 13744, 13743, 13742, 13741, 13740, 13739, 13738, 3009, 13625, 14827])).
% 1.67/1.91 tff(14894,plain,(always3(s67) | node4(s99)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.91 tff(14895,plain,
% 1.67/1.91 (always3(s67)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14894, 3009])).
% 1.67/1.91 tff(14896,plain,
% 1.67/1.91 (always3(s68)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1291, 14895])).
% 1.67/1.91 tff(14897,plain,
% 1.67/1.91 (~m_main_v_state(s68, c_busy)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14798, 3154, 14896])).
% 1.67/1.91 tff(14898,assumption,(~m_main_v_state(s68, c_busy)), introduced(assumption)).
% 1.67/1.91 tff(14899,assumption,(node4(s67)), introduced(assumption)).
% 1.67/1.91 tff(14900,plain,
% 1.67/1.91 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s67) | (~node4(s67)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s67) | (~node4(s67)))),
% 1.67/1.91 inference(rewrite,[status(thm)],[])).
% 1.67/1.91 tff(14901,plain,
% 1.67/1.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s67) | (~node4(s67)))),
% 1.67/1.91 inference(quant_inst,[status(thm)],[])).
% 1.67/1.91 tff(14902,plain,
% 1.67/1.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s67) | (~node4(s67))),
% 1.67/1.91 inference(modus_ponens,[status(thm)],[14901, 14900])).
% 1.67/1.91 tff(14903,plain,
% 1.67/1.91 (m_main_v_request(s67)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14902, 3141, 14899])).
% 1.67/1.91 tff(14904,plain,
% 1.67/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s67, s68)) | node2(s67, s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s67, s68)) | node2(s67, s68))),
% 1.67/1.91 inference(rewrite,[status(thm)],[])).
% 1.67/1.91 tff(14905,plain,
% 1.67/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s67, s68)) | node2(s67, s68))),
% 1.67/1.91 inference(quant_inst,[status(thm)],[])).
% 1.67/1.91 tff(14906,plain,
% 1.67/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s67, s68)) | node2(s67, s68)),
% 1.67/1.91 inference(modus_ponens,[status(thm)],[14905, 14904])).
% 1.67/1.91 tff(14907,plain,
% 1.67/1.91 (node2(s67, s68)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14906, 7, 1287])).
% 1.67/1.91 tff(14908,plain,
% 1.67/1.91 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s67, c_ready)) | (~node2(s67, s68)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s67)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s67, c_ready)) | (~node2(s67, s68)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s67)))),
% 1.67/1.91 inference(rewrite,[status(thm)],[])).
% 1.67/1.91 tff(14909,plain,
% 1.67/1.91 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s67, c_ready)) | (~node2(s67, s68)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s67)))),
% 1.67/1.91 inference(quant_inst,[status(thm)],[])).
% 1.67/1.91 tff(14910,plain,
% 1.67/1.91 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s67, c_ready)) | (~node2(s67, s68)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s67))),
% 1.67/1.91 inference(modus_ponens,[status(thm)],[14909, 14908])).
% 1.67/1.91 tff(14911,plain,
% 1.67/1.91 ((~m_main_v_state(s67, c_ready)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s67))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14910, 3175, 14907])).
% 1.67/1.91 tff(14912,plain,
% 1.67/1.91 (~m_main_v_state(s67, c_ready)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14911, 14903, 14898])).
% 1.67/1.91 tff(14913,plain,
% 1.67/1.91 (always3(s67)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1295, 595, 14899])).
% 1.67/1.91 tff(14914,plain,
% 1.67/1.91 (~m_main_v_state(s67, c_busy)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13575, 3154, 14913])).
% 1.67/1.91 tff(14915,plain,
% 1.67/1.91 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s67, c_busy) | m_main_v_state(s67, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s67, c_busy) | m_main_v_state(s67, c_ready))),
% 1.67/1.91 inference(rewrite,[status(thm)],[])).
% 1.67/1.91 tff(14916,plain,
% 1.67/1.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s67, c_busy) | m_main_v_state(s67, c_ready))),
% 1.67/1.91 inference(quant_inst,[status(thm)],[])).
% 1.67/1.91 tff(14917,plain,
% 1.67/1.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s67, c_busy) | m_main_v_state(s67, c_ready)),
% 1.67/1.91 inference(modus_ponens,[status(thm)],[14916, 14915])).
% 1.67/1.91 tff(14918,plain,
% 1.67/1.91 ($false),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14917, 19, 14914, 14912])).
% 1.67/1.91 tff(14919,plain,((~node4(s67)) | m_main_v_state(s68, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.91 tff(14920,plain,
% 1.67/1.91 (~node4(s67)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14919, 14897])).
% 1.67/1.91 tff(14921,plain,
% 1.67/1.91 (xuntil6(s67) | (~until5(s67))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1302, 614, 14920])).
% 1.67/1.91 tff(14922,plain,
% 1.67/1.91 (xuntil6(s67)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14921, 13594])).
% 1.67/1.91 tff(14923,plain,
% 1.67/1.91 (until5(s68)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1282, 14922])).
% 1.67/1.91 tff(14924,plain,
% 1.67/1.91 (always3(s69)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1262, 14896])).
% 1.67/1.91 tff(14925,plain,
% 1.67/1.91 (~m_main_v_state(s69, c_busy)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13999, 3154, 14924])).
% 1.67/1.91 tff(14926,plain,
% 1.67/1.91 (m_main_v_state(s68, c_ready)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14802, 19, 14897])).
% 1.67/1.91 tff(14927,plain,
% 1.67/1.91 (~m_main_v_request(s68)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14811, 14926, 14925])).
% 1.67/1.91 tff(14928,plain,
% 1.67/1.91 (~node4(s68)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14815, 3141, 14927])).
% 1.67/1.91 tff(14929,plain,
% 1.67/1.91 (xuntil6(s68) | (~until5(s68))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1273, 614, 14928])).
% 1.67/1.91 tff(14930,plain,
% 1.67/1.91 (xuntil6(s68)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14929, 14923])).
% 1.67/1.91 tff(14931,plain,
% 1.67/1.91 (until5(s69)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1253, 14930])).
% 1.67/1.91 tff(14932,plain,
% 1.67/1.91 (xuntil6(s69)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14005, 14931, 8122])).
% 1.67/1.91 tff(14933,plain,
% 1.67/1.91 (until5(s70)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1224, 14932])).
% 1.67/1.91 tff(14934,plain,
% 1.67/1.91 (always3(s70)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1233, 14924])).
% 1.67/1.91 tff(14935,plain,
% 1.67/1.91 (always3(s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1204, 14934])).
% 1.67/1.91 tff(14936,plain,
% 1.67/1.91 (~m_main_v_state(s71, c_busy)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14185, 3154, 14935])).
% 1.67/1.91 tff(14937,plain,
% 1.67/1.91 (~node4(s70)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14636, 14936])).
% 1.67/1.91 tff(14938,plain,
% 1.67/1.91 (xuntil6(s70) | (~until5(s70))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1215, 614, 14937])).
% 1.67/1.91 tff(14939,plain,
% 1.67/1.91 (xuntil6(s70)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14938, 14933])).
% 1.67/1.91 tff(14940,plain,
% 1.67/1.91 (until5(s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1195, 14939])).
% 1.67/1.91 tff(14941,plain,
% 1.67/1.91 (xuntil6(s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14191, 14940, 8122])).
% 1.67/1.91 tff(14942,plain,
% 1.67/1.91 (until5(s72)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1166, 14941])).
% 1.67/1.91 tff(14943,plain,
% 1.67/1.91 (xuntil6(s74)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14409, 14942, 8122])).
% 1.67/1.91 tff(14944,plain,
% 1.67/1.91 (until5(s75)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1079, 14943])).
% 1.67/1.91 tff(14945,plain,
% 1.67/1.91 (xuntil6(s75)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[8908, 14944])).
% 1.67/1.91 tff(14946,plain,
% 1.67/1.91 (until5(s76)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1050, 14945])).
% 1.67/1.91 tff(14947,plain,
% 1.67/1.91 (xuntil6(s76)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14439, 14946])).
% 1.67/1.91 tff(14948,plain,
% 1.67/1.91 (until5(s77)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1021, 14947])).
% 1.67/1.91 tff(14949,plain,
% 1.67/1.91 (xuntil6(s77)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[8967, 14948, 14944])).
% 1.67/1.91 tff(14950,plain,
% 1.67/1.91 (until5(s78)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[992, 14949])).
% 1.67/1.91 tff(14951,plain,
% 1.67/1.91 (xuntil6(s79)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14445, 14950])).
% 1.67/1.91 tff(14952,plain,
% 1.67/1.91 (until5(s80)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[934, 14951])).
% 1.67/1.91 tff(14953,plain,
% 1.67/1.91 (xuntil6(s81)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[11964, 14952, 14944, 8122])).
% 1.67/1.91 tff(14954,plain,
% 1.67/1.91 (until5(s82)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[876, 14953])).
% 1.67/1.91 tff(14955,plain,
% 1.67/1.91 (xuntil6(s99)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[11685, 14954, 3009])).
% 1.67/1.91 tff(14956,plain,
% 1.67/1.91 (~trans(s99, s92)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[4910, 14955, 13288])).
% 1.67/1.91 tff(14957,plain,
% 1.67/1.91 (~trans(s99, s86)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14688, 14955, 14453])).
% 1.67/1.91 tff(14958,plain,
% 1.67/1.91 (always3(s72)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1175, 14935])).
% 1.67/1.91 tff(14959,plain,
% 1.67/1.91 (always3(s73)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1146, 14958])).
% 1.67/1.91 tff(14960,plain,
% 1.67/1.91 (always3(s74)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1117, 14959])).
% 1.67/1.91 tff(14961,plain,
% 1.67/1.91 (~m_main_v_state(s74, c_busy)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14327, 3154, 14960])).
% 1.67/1.91 tff(14962,plain,
% 1.67/1.91 (~m_main_v_state(s73, c_busy)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14350, 3154, 14959])).
% 1.67/1.91 tff(14963,plain,
% 1.67/1.91 (m_main_v_state(s73, c_ready)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14355, 19, 14962])).
% 1.67/1.91 tff(14964,plain,
% 1.67/1.91 (~m_main_v_request(s73)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14364, 14963, 14961])).
% 1.67/1.91 tff(14965,plain,
% 1.67/1.91 (~node4(s73)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14368, 3141, 14964])).
% 1.67/1.91 tff(14966,plain,
% 1.67/1.91 (always3(s75)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1088, 14960])).
% 1.67/1.91 tff(14967,plain,
% 1.67/1.91 (~m_main_v_state(s75, c_busy)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[8901, 3154, 14966])).
% 1.67/1.91 tff(14968,plain,
% 1.67/1.91 (m_main_v_state(s74, c_ready)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14331, 19, 14961])).
% 1.67/1.91 tff(14969,plain,
% 1.67/1.91 (~m_main_v_request(s74)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14407, 14968, 14967])).
% 1.67/1.91 tff(14970,plain,
% 1.67/1.91 (~node4(s74)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14398, 3141, 14969])).
% 1.67/1.91 tff(14971,plain,
% 1.67/1.91 (~until2p7(s74)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14553, 14970])).
% 1.67/1.91 tff(14972,plain,
% 1.67/1.91 (~xuntil2p8(s73)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3428, 14971])).
% 1.67/1.91 tff(14973,plain,
% 1.67/1.91 (~until2p7(s73)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3434, 3051, 14972, 14965])).
% 1.67/1.91 tff(14974,plain,
% 1.67/1.91 (~xuntil2p8(s72)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3440, 14973])).
% 1.67/1.91 tff(14975,plain,
% 1.67/1.91 (~m_main_v_state(s72, c_busy)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14162, 3154, 14958])).
% 1.67/1.91 tff(14976,plain,
% 1.67/1.91 (m_main_v_state(s72, c_ready)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14390, 19, 14975])).
% 1.67/1.91 tff(14977,plain,
% 1.67/1.91 (~m_main_v_request(s72)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14384, 14976, 14962])).
% 1.67/1.91 tff(14978,plain,
% 1.67/1.91 (~node4(s72)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14375, 3141, 14977])).
% 1.67/1.91 tff(14979,plain,
% 1.67/1.91 (xuntil2p8(s72) | (~until2p7(s72))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3446, 3051, 14978])).
% 1.67/1.91 tff(14980,plain,
% 1.67/1.91 (~until2p7(s72)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14979, 14974])).
% 1.67/1.91 tff(14981,plain,
% 1.67/1.91 (~xuntil2p8(s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3452, 14980])).
% 1.67/1.91 tff(14982,plain,
% 1.67/1.91 (m_main_v_state(s71, c_ready)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14189, 19, 14936])).
% 1.67/1.91 tff(14983,plain,
% 1.67/1.91 (~m_main_v_request(s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14178, 14982, 14975])).
% 1.67/1.91 tff(14984,plain,
% 1.67/1.91 (~node4(s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14169, 3141, 14983])).
% 1.67/1.91 tff(14985,plain,
% 1.67/1.91 (xuntil2p8(s71) | (~until2p7(s71))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3458, 3051, 14984])).
% 1.67/1.91 tff(14986,plain,
% 1.67/1.91 (~until2p7(s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14985, 14981])).
% 1.67/1.91 tff(14987,plain,
% 1.67/1.91 (~xuntil2p8(s70)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3464, 14986])).
% 1.67/1.91 tff(14988,plain,
% 1.67/1.91 (xuntil2p8(s70) | (~until2p7(s70))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3470, 3051, 14937])).
% 1.67/1.91 tff(14989,plain,
% 1.67/1.91 (~until2p7(s70)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14988, 14987])).
% 1.67/1.91 tff(14990,plain,
% 1.67/1.91 (~xuntil2p8(s69)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3476, 14989])).
% 1.67/1.91 tff(14991,plain,
% 1.67/1.91 (~m_main_v_state(s70, c_busy)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13976, 3154, 14934])).
% 1.67/1.91 tff(14992,plain,
% 1.67/1.91 (m_main_v_state(s69, c_ready)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14003, 19, 14925])).
% 1.67/1.91 tff(14993,plain,
% 1.67/1.91 (~m_main_v_request(s69)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13992, 14992, 14991])).
% 1.67/1.91 tff(14994,plain,
% 1.67/1.91 (~node4(s69)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13983, 3141, 14993])).
% 1.67/1.91 tff(14995,plain,
% 1.67/1.91 (xuntil2p8(s69) | (~until2p7(s69))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3482, 3051, 14994])).
% 1.67/1.91 tff(14996,plain,
% 1.67/1.91 (~until2p7(s69)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14995, 14990])).
% 1.67/1.91 tff(14997,plain,
% 1.67/1.91 (~xuntil2p8(s68)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3488, 14996])).
% 1.67/1.91 tff(14998,plain,
% 1.67/1.91 (xuntil2p8(s68) | (~until2p7(s68))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3494, 3051, 14928])).
% 1.67/1.91 tff(14999,plain,
% 1.67/1.91 (~until2p7(s68)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14998, 14997])).
% 1.67/1.91 tff(15000,plain,
% 1.67/1.91 (~xuntil2p8(s67)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3500, 14999])).
% 1.67/1.91 tff(15001,plain,
% 1.67/1.91 (xuntil2p8(s67) | (~until2p7(s67))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3506, 3051, 14920])).
% 1.67/1.91 tff(15002,plain,
% 1.67/1.91 (~until2p7(s67)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[15001, 15000])).
% 1.67/1.91 tff(15003,plain,
% 1.67/1.91 (~trans(s99, s67)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[4423, 14955, 15002])).
% 1.67/1.91 tff(15004,plain,
% 1.67/1.91 (~trans(s99, s81)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14695, 14955, 14453])).
% 1.67/1.91 tff(15005,plain,
% 1.67/1.91 (~trans(s99, s73)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[4778, 14955, 14973])).
% 1.67/1.91 tff(15006,plain,
% 1.67/1.91 (~trans(s99, s76)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[4712, 14955, 14517])).
% 1.67/1.91 tff(15007,plain,
% 1.67/1.91 (~trans(s99, s79)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5484, 14955, 14501])).
% 1.67/1.91 tff(15008,plain,
% 1.67/1.91 (~trans(s99, s74)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14534, 14955, 14522])).
% 1.67/1.91 tff(15009,plain,
% 1.67/1.91 (~trans(s99, s87)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5550, 14955, 13321])).
% 1.67/1.91 tff(15010,plain,
% 1.67/1.91 (~trans(s99, s95)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14697, 14955, 13251])).
% 1.67/1.91 tff(15011,plain,
% 1.67/1.91 (~trans(s99, s97)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14699, 14955, 13251])).
% 1.67/1.91 tff(15012,plain,
% 1.67/1.91 (~trans(s99, s93)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14703, 14955, 13265])).
% 1.67/1.91 tff(15013,plain,
% 1.67/1.91 (~trans(s99, s96)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5609, 14955, 13264])).
% 1.67/1.91 tff(15014,plain,
% 1.67/1.91 (~trans(s99, s69)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[4943, 14955, 14996])).
% 1.67/1.91 tff(15015,plain,
% 1.67/1.91 (~trans(s99, s68)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5075, 14955, 14999])).
% 1.67/1.91 tff(15016,plain,
% 1.67/1.91 (~trans(s99, s99)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[4932, 14955, 8442])).
% 1.67/1.91 tff(15017,plain,
% 1.67/1.91 (~trans(s99, s88)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14708, 14955, 13265])).
% 1.67/1.91 tff(15018,plain,
% 1.67/1.91 (~trans(s99, s82)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[4822, 14955, 14480])).
% 1.67/1.91 tff(15019,plain,
% 1.67/1.91 (~xuntil2p8(s66)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3512, 15002])).
% 1.67/1.91 tff(15020,plain,
% 1.67/1.91 (xuntil2p8(s66) | (~until2p7(s66))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3518, 3051, 13591])).
% 1.67/1.91 tff(15021,plain,
% 1.67/1.91 (~until2p7(s66)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[15020, 15019])).
% 1.67/1.91 tff(15022,plain,
% 1.67/1.91 (~trans(s99, s66)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5231, 14955, 15021])).
% 1.67/1.91 tff(15023,plain,
% 1.67/1.91 (~trans(s99, s78)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5374, 14955, 14508])).
% 1.67/1.91 tff(15024,plain,
% 1.67/1.91 (~trans(s99, s72)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5119, 14955, 14980])).
% 1.67/1.91 tff(15025,plain,
% 1.67/1.91 (~trans(s99, s64)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[8866, 8857])).
% 1.67/1.91 tff(15026,plain,
% 1.67/1.91 (~trans(s99, s83)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14715, 14955, 13265])).
% 1.67/1.91 tff(15027,plain,
% 1.67/1.91 (~trans(s99, s94)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[12115, 14955, 8443])).
% 1.67/1.91 tff(15028,plain,
% 1.67/1.91 (~trans(s99, s98)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[12125, 14955, 8443])).
% 1.67/1.91 tff(15029,plain,
% 1.67/1.91 (~trans(s99, s77)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14718, 14955, 14502])).
% 1.67/1.91 tff(15030,plain,
% 1.67/1.91 (~trans(s99, s70)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5418, 14955, 14989])).
% 1.67/1.91 tff(15031,plain,
% 1.67/1.91 (~trans(s99, s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5220, 14955, 14986])).
% 1.67/1.91 tff(15032,plain,
% 1.67/1.91 (~trans(s99, s80)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5009, 14955, 14494])).
% 1.67/1.91 tff(15033,plain,
% 1.67/1.91 (trans(s99, s65)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[12575, 15032, 13265, 8428, 15031, 15030, 15029, 8425, 15028, 8429, 15027, 8424, 15026, 8427, 15025, 10898, 8426, 10897, 15024, 8423, 8422, 8421, 15023, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 15022, 15018, 8358, 8357, 8356, 8355, 8354, 15017, 15016, 8353, 9398, 8352, 15015, 8351, 8350, 9507, 14955, 8338, 9503, 9502, 9501, 8302, 8301, 15014, 15013, 8300, 15012, 15011, 8299, 8298, 8297, 15010, 8296, 15009, 8295, 8294, 10892, 15008, 8281, 8280, 8279, 8278, 15007, 15006, 8277, 8276, 8275, 8274, 15005, 15004, 8273, 15003, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 14957, 8227, 14956])).
% 1.67/1.91 tff(15034,plain,
% 1.67/1.91 (always3(s65)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[8749, 15033])).
% 1.67/1.91 tff(15035,plain,
% 1.67/1.91 (always3(s66)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1349, 15034])).
% 1.67/1.91 tff(15036,plain,
% 1.67/1.91 (~m_main_v_state(s66, c_busy)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13534, 3154, 15035])).
% 1.67/1.91 tff(15037,plain,
% 1.67/1.91 (until2p7(s65)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5031, 15033, 14955])).
% 1.67/1.91 tff(15038,plain,
% 1.67/1.91 (~xuntil2p8(s65)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3524, 15021])).
% 1.67/1.91 tff(15039,plain,
% 1.67/1.91 (node4(s65) | (~until2p7(s65))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3530, 3051, 15038])).
% 1.67/1.91 tff(15040,plain,
% 1.67/1.91 (node4(s65)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[15039, 15037])).
% 1.67/1.91 tff(15041,plain,
% 1.67/1.91 (m_main_v_request(s65)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13541, 3141, 15040])).
% 1.67/1.91 tff(15042,plain,
% 1.67/1.91 (~m_main_v_state(s65, c_ready)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13550, 15041, 15036])).
% 1.67/1.91 tff(15043,plain,
% 1.67/1.91 (~m_main_v_state(s65, c_busy)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13557, 3154, 15034])).
% 1.67/1.91 tff(15044,plain,
% 1.67/1.91 ($false),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[22, 19, 15043, 15042])).
% 1.67/1.91 tff(15045,plain,(always3(s64) | trans(s99, s9) | trans(s99, s33) | trans(s99, s46) | trans(s99, s6) | trans(s99, s31) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | node4(s99) | (~until5(s39)) | (~until5(s64))), inference(lemma,lemma(discharge,[]))).
% 1.67/1.91 tff(15046,plain,
% 1.67/1.91 (always3(s64)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[15045, 13426, 8425, 8429, 8424, 8427, 8428, 8426, 10897, 8423, 8422, 8421, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 9398, 8352, 8351, 8350, 9507, 8338, 9503, 9502, 9501, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 3009, 8122, 13425])).
% 1.67/1.91 tff(15047,plain,
% 1.67/1.91 (always3(s65)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1378, 15046])).
% 1.67/1.91 tff(15048,plain,
% 1.67/1.91 (~m_main_v_state(s65, c_busy)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13557, 3154, 15047])).
% 1.67/1.91 tff(15049,assumption,(node4(s64)), introduced(assumption)).
% 1.67/1.91 tff(15050,plain,
% 1.67/1.91 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s64) | (~node4(s64)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s64) | (~node4(s64)))),
% 1.67/1.91 inference(rewrite,[status(thm)],[])).
% 1.67/1.91 tff(15051,plain,
% 1.67/1.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s64) | (~node4(s64)))),
% 1.67/1.91 inference(quant_inst,[status(thm)],[])).
% 1.67/1.91 tff(15052,plain,
% 1.67/1.91 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s64) | (~node4(s64))),
% 1.67/1.91 inference(modus_ponens,[status(thm)],[15051, 15050])).
% 1.67/1.91 tff(15053,plain,
% 1.67/1.91 (m_main_v_request(s64)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[15052, 3141, 15049])).
% 1.67/1.91 tff(15054,plain,
% 1.67/1.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s64, s65)) | node2(s64, s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s64, s65)) | node2(s64, s65))),
% 1.67/1.91 inference(rewrite,[status(thm)],[])).
% 1.67/1.91 tff(15055,plain,
% 1.67/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s64, s65)) | node2(s64, s65))),
% 1.67/1.91 inference(quant_inst,[status(thm)],[])).
% 1.67/1.91 tff(15056,plain,
% 1.67/1.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s64, s65)) | node2(s64, s65)),
% 1.67/1.91 inference(modus_ponens,[status(thm)],[15055, 15054])).
% 1.67/1.91 tff(15057,plain,
% 1.67/1.91 (node2(s64, s65)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[15056, 7, 1374])).
% 1.67/1.91 tff(15058,plain,
% 1.67/1.91 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s64, c_ready)) | (~node2(s64, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s64)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s64, c_ready)) | (~node2(s64, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s64)))),
% 1.67/1.91 inference(rewrite,[status(thm)],[])).
% 1.67/1.91 tff(15059,plain,
% 1.67/1.91 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s64, c_ready)) | (~node2(s64, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s64)))),
% 1.67/1.91 inference(quant_inst,[status(thm)],[])).
% 1.67/1.91 tff(15060,plain,
% 1.67/1.91 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s64, c_ready)) | (~node2(s64, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s64))),
% 1.67/1.91 inference(modus_ponens,[status(thm)],[15059, 15058])).
% 1.67/1.91 tff(15061,plain,
% 1.67/1.91 ((~m_main_v_state(s64, c_ready)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s64))),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[15060, 3175, 15057])).
% 1.67/1.91 tff(15062,plain,
% 1.67/1.91 (~m_main_v_state(s64, c_ready)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[15061, 15053, 8])).
% 1.67/1.91 tff(15063,plain,
% 1.67/1.91 (always3(s64)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1382, 595, 15049])).
% 1.67/1.91 tff(15064,plain,
% 1.67/1.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s64)) | (~m_main_v_state(s64, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s64)) | (~m_main_v_state(s64, c_busy)))),
% 1.67/1.91 inference(rewrite,[status(thm)],[])).
% 1.67/1.91 tff(15065,plain,
% 1.67/1.91 (((~m_main_v_state(s64, c_busy)) | (~always3(s64))) <=> ((~always3(s64)) | (~m_main_v_state(s64, c_busy)))),
% 1.67/1.91 inference(rewrite,[status(thm)],[])).
% 1.67/1.91 tff(15066,plain,
% 1.67/1.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s64, c_busy)) | (~always3(s64)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s64)) | (~m_main_v_state(s64, c_busy))))),
% 1.67/1.91 inference(monotonicity,[status(thm)],[15065])).
% 1.67/1.91 tff(15067,plain,
% 1.67/1.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s64, c_busy)) | (~always3(s64)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s64)) | (~m_main_v_state(s64, c_busy)))),
% 1.67/1.91 inference(transitivity,[status(thm)],[15066, 15064])).
% 1.67/1.91 tff(15068,plain,
% 1.67/1.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s64, c_busy)) | (~always3(s64)))),
% 1.67/1.91 inference(quant_inst,[status(thm)],[])).
% 1.67/1.91 tff(15069,plain,
% 1.67/1.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s64)) | (~m_main_v_state(s64, c_busy))),
% 1.67/1.91 inference(modus_ponens,[status(thm)],[15068, 15067])).
% 1.67/1.91 tff(15070,plain,
% 1.67/1.91 (~m_main_v_state(s64, c_busy)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[15069, 3154, 15063])).
% 1.67/1.91 tff(15071,plain,
% 1.67/1.91 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s64, c_busy) | m_main_v_state(s64, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s64, c_busy) | m_main_v_state(s64, c_ready))),
% 1.67/1.91 inference(rewrite,[status(thm)],[])).
% 1.67/1.91 tff(15072,plain,
% 1.67/1.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s64, c_busy) | m_main_v_state(s64, c_ready))),
% 1.67/1.91 inference(quant_inst,[status(thm)],[])).
% 1.67/1.91 tff(15073,plain,
% 1.67/1.91 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s64, c_busy) | m_main_v_state(s64, c_ready)),
% 1.67/1.91 inference(modus_ponens,[status(thm)],[15072, 15071])).
% 1.67/1.91 tff(15074,plain,
% 1.67/1.91 ($false),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[15073, 19, 15070, 15062])).
% 1.67/1.91 tff(15075,plain,((~node4(s64)) | m_main_v_state(s65, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.67/1.91 tff(15076,plain,
% 1.67/1.91 (~node4(s64)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[15075, 15048])).
% 1.67/1.91 tff(15077,plain,
% 1.67/1.91 (always3(s66)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1349, 15047])).
% 1.67/1.91 tff(15078,plain,
% 1.67/1.91 (~m_main_v_state(s66, c_busy)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13534, 3154, 15077])).
% 1.67/1.91 tff(15079,plain,
% 1.67/1.91 (m_main_v_state(s65, c_ready)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[22, 19, 15048])).
% 1.67/1.91 tff(15080,plain,
% 1.67/1.91 (~m_main_v_request(s65)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13550, 15079, 15078])).
% 1.67/1.91 tff(15081,plain,
% 1.67/1.91 (~node4(s65)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13541, 3141, 15080])).
% 1.67/1.91 tff(15082,plain,
% 1.67/1.91 (~until2p7(s65)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[15039, 15081])).
% 1.67/1.91 tff(15083,plain,
% 1.67/1.91 (~xuntil2p8(s64)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[3536, 15082])).
% 1.67/1.91 tff(15084,plain,
% 1.67/1.91 (xuntil6(s64) | node4(s64)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1389, 614, 13425])).
% 1.67/1.91 tff(15085,plain,
% 1.67/1.91 (xuntil6(s64)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[15084, 15076])).
% 1.67/1.91 tff(15086,plain,
% 1.67/1.91 (until5(s65)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1369, 15085])).
% 1.67/1.91 tff(15087,plain,
% 1.67/1.91 (xuntil6(s65)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13560, 15086, 8122])).
% 1.67/1.91 tff(15088,plain,
% 1.67/1.91 (until5(s66)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1340, 15087])).
% 1.67/1.91 tff(15089,plain,
% 1.67/1.91 (xuntil6(s66)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13592, 15088])).
% 1.67/1.91 tff(15090,plain,
% 1.67/1.91 (until5(s67)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1311, 15089])).
% 1.67/1.91 tff(15091,plain,
% 1.67/1.91 (xuntil6(s67)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14921, 15090])).
% 1.67/1.91 tff(15092,plain,
% 1.67/1.91 (until5(s68)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1282, 15091])).
% 1.67/1.91 tff(15093,plain,
% 1.67/1.91 (xuntil6(s68)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14929, 15092])).
% 1.67/1.91 tff(15094,plain,
% 1.67/1.91 (until5(s69)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1253, 15093])).
% 1.67/1.91 tff(15095,plain,
% 1.67/1.91 (xuntil6(s69)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14005, 15094, 8122])).
% 1.67/1.91 tff(15096,plain,
% 1.67/1.91 (until5(s70)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1224, 15095])).
% 1.67/1.91 tff(15097,plain,
% 1.67/1.91 (xuntil6(s70)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14938, 15096])).
% 1.67/1.91 tff(15098,plain,
% 1.67/1.91 (until5(s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1195, 15097])).
% 1.67/1.91 tff(15099,plain,
% 1.67/1.91 (xuntil6(s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14191, 15098, 8122])).
% 1.67/1.91 tff(15100,plain,
% 1.67/1.91 (until5(s72)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1166, 15099])).
% 1.67/1.91 tff(15101,plain,
% 1.67/1.91 (xuntil6(s74)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14409, 15100, 8122])).
% 1.67/1.91 tff(15102,plain,
% 1.67/1.91 (until5(s75)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1079, 15101])).
% 1.67/1.91 tff(15103,plain,
% 1.67/1.91 (xuntil6(s75)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[8908, 15102])).
% 1.67/1.91 tff(15104,plain,
% 1.67/1.91 (until5(s76)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1050, 15103])).
% 1.67/1.91 tff(15105,plain,
% 1.67/1.91 (xuntil6(s76)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14439, 15104])).
% 1.67/1.91 tff(15106,plain,
% 1.67/1.91 (until5(s77)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[1021, 15105])).
% 1.67/1.91 tff(15107,plain,
% 1.67/1.91 (xuntil6(s77)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[8967, 15106, 15102])).
% 1.67/1.91 tff(15108,plain,
% 1.67/1.91 (until5(s78)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[992, 15107])).
% 1.67/1.91 tff(15109,plain,
% 1.67/1.91 (xuntil6(s79)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14445, 15108])).
% 1.67/1.91 tff(15110,plain,
% 1.67/1.91 (until5(s80)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[934, 15109])).
% 1.67/1.91 tff(15111,plain,
% 1.67/1.91 (xuntil6(s81)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[11964, 15110, 15102, 8122])).
% 1.67/1.91 tff(15112,plain,
% 1.67/1.91 (until5(s82)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[876, 15111])).
% 1.67/1.91 tff(15113,plain,
% 1.67/1.91 (xuntil6(s99)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[11685, 15112, 3009])).
% 1.67/1.91 tff(15114,plain,
% 1.67/1.91 (~trans(s99, s67)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[4423, 15113, 15002])).
% 1.67/1.91 tff(15115,plain,
% 1.67/1.91 (~trans(s99, s73)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[4778, 15113, 14973])).
% 1.67/1.91 tff(15116,plain,
% 1.67/1.91 (~trans(s99, s76)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[4712, 15113, 14517])).
% 1.67/1.91 tff(15117,plain,
% 1.67/1.91 (~trans(s99, s74)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[14534, 15113, 14522])).
% 1.67/1.91 tff(15118,plain,
% 1.67/1.91 (~trans(s99, s69)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[4943, 15113, 14996])).
% 1.67/1.91 tff(15119,plain,
% 1.67/1.91 (~trans(s99, s68)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5075, 15113, 14999])).
% 1.67/1.91 tff(15120,plain,
% 1.67/1.91 (~trans(s99, s71)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5220, 15113, 14986])).
% 1.67/1.91 tff(15121,plain,
% 1.67/1.91 (~trans(s99, s72)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5119, 15113, 14980])).
% 1.67/1.91 tff(15122,plain,
% 1.67/1.91 (~trans(s99, s66)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5231, 15113, 15021])).
% 1.67/1.91 tff(15123,plain,
% 1.67/1.91 (~trans(s99, s70)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5418, 15113, 14989])).
% 1.67/1.91 tff(15124,plain,
% 1.67/1.91 (~trans(s99, s65)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[5031, 15082, 15113])).
% 1.67/1.91 tff(15125,plain,
% 1.67/1.91 (trans(s99, s64)),
% 1.67/1.91 inference(unit_resolution,[status(thm)],[13128, 15124, 3009, 8425, 8429, 8428, 8427, 15123, 13426, 8426, 10897, 8424, 8423, 8422, 8421, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 15122, 15121, 8358, 8357, 8356, 8355, 8354, 15120, 8353, 9398, 8352, 15119, 8351, 8350, 9507, 15113, 8338, 9503, 9502, 9501, 8302, 8301, 15118, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 15117, 8281, 8280, 8279, 8278, 15116, 8277, 8276, 8275, 8274, 15115, 8273, 15114, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 15102, 8122])).
% 1.75/1.91 tff(15126,plain,
% 1.75/1.91 (until2p7(s64)),
% 1.75/1.91 inference(unit_resolution,[status(thm)],[5462, 15125, 15113])).
% 1.75/1.91 tff(15127,plain,
% 1.75/1.91 ($false),
% 1.75/1.91 inference(unit_resolution,[status(thm)],[3542, 3051, 15126, 15083, 15076])).
% 1.75/1.91 tff(15128,plain,(always3(s63) | node4(s99) | trans(s99, s33) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s21) | trans(s99, s49) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.91 tff(15129,plain,
% 1.75/1.91 (always3(s63)),
% 1.75/1.91 inference(unit_resolution,[status(thm)],[15128, 9398, 8425, 8429, 8428, 8427, 8426, 10897, 8424, 8423, 8422, 8421, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 3009, 8352, 8351, 8350, 9507, 8338, 9503, 9502, 9501, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 8122])).
% 1.75/1.91 tff(15130,plain,
% 1.75/1.91 (always3(s64)),
% 1.75/1.91 inference(unit_resolution,[status(thm)],[1407, 15129])).
% 1.75/1.91 tff(15131,plain,
% 1.75/1.91 (always3(s65)),
% 1.75/1.91 inference(unit_resolution,[status(thm)],[1378, 15130])).
% 1.75/1.91 tff(15132,plain,
% 1.75/1.91 (~m_main_v_state(s65, c_busy)),
% 1.75/1.91 inference(unit_resolution,[status(thm)],[13557, 3154, 15131])).
% 1.75/1.91 tff(15133,plain,
% 1.75/1.91 (~node4(s64)),
% 1.75/1.91 inference(unit_resolution,[status(thm)],[15075, 15132])).
% 1.75/1.91 tff(15134,plain,
% 1.75/1.91 (~m_main_v_state(s64, c_busy)),
% 1.75/1.91 inference(unit_resolution,[status(thm)],[15069, 3154, 15130])).
% 1.75/1.91 tff(15135,plain,
% 1.75/1.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s63)) | (~m_main_v_state(s63, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s63)) | (~m_main_v_state(s63, c_busy)))),
% 1.75/1.91 inference(rewrite,[status(thm)],[])).
% 1.75/1.91 tff(15136,plain,
% 1.75/1.91 (((~m_main_v_state(s63, c_busy)) | (~always3(s63))) <=> ((~always3(s63)) | (~m_main_v_state(s63, c_busy)))),
% 1.75/1.91 inference(rewrite,[status(thm)],[])).
% 1.75/1.91 tff(15137,plain,
% 1.75/1.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s63, c_busy)) | (~always3(s63)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s63)) | (~m_main_v_state(s63, c_busy))))),
% 1.75/1.91 inference(monotonicity,[status(thm)],[15136])).
% 1.75/1.91 tff(15138,plain,
% 1.75/1.91 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s63, c_busy)) | (~always3(s63)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s63)) | (~m_main_v_state(s63, c_busy)))),
% 1.75/1.91 inference(transitivity,[status(thm)],[15137, 15135])).
% 1.75/1.91 tff(15139,plain,
% 1.75/1.91 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s63, c_busy)) | (~always3(s63)))),
% 1.75/1.92 inference(quant_inst,[status(thm)],[])).
% 1.75/1.92 tff(15140,plain,
% 1.75/1.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s63)) | (~m_main_v_state(s63, c_busy))),
% 1.75/1.92 inference(modus_ponens,[status(thm)],[15139, 15138])).
% 1.75/1.92 tff(15141,plain,
% 1.75/1.92 (~m_main_v_state(s63, c_busy)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15140, 3154, 15129])).
% 1.75/1.92 tff(15142,plain,
% 1.75/1.92 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s63, c_busy) | m_main_v_state(s63, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s63, c_busy) | m_main_v_state(s63, c_ready))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15143,plain,
% 1.75/1.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s63, c_busy) | m_main_v_state(s63, c_ready))),
% 1.75/1.92 inference(quant_inst,[status(thm)],[])).
% 1.75/1.92 tff(15144,plain,
% 1.75/1.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s63, c_busy) | m_main_v_state(s63, c_ready)),
% 1.75/1.92 inference(modus_ponens,[status(thm)],[15143, 15142])).
% 1.75/1.92 tff(15145,plain,
% 1.75/1.92 (m_main_v_state(s63, c_ready)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15144, 19, 15141])).
% 1.75/1.92 tff(15146,plain,
% 1.75/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s63, s64)) | node2(s63, s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s63, s64)) | node2(s63, s64))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15147,plain,
% 1.75/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s63, s64)) | node2(s63, s64))),
% 1.75/1.92 inference(quant_inst,[status(thm)],[])).
% 1.75/1.92 tff(15148,plain,
% 1.75/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s63, s64)) | node2(s63, s64)),
% 1.75/1.92 inference(modus_ponens,[status(thm)],[15147, 15146])).
% 1.75/1.92 tff(15149,plain,
% 1.75/1.92 (node2(s63, s64)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15148, 7, 1403])).
% 1.75/1.92 tff(15150,plain,
% 1.75/1.92 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s63, c_ready)) | (~node2(s63, s64)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s63)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s63, c_ready)) | (~node2(s63, s64)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s63)))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15151,plain,
% 1.75/1.92 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s63, c_ready)) | (~node2(s63, s64)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s63)))),
% 1.75/1.92 inference(quant_inst,[status(thm)],[])).
% 1.75/1.92 tff(15152,plain,
% 1.75/1.92 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s63, c_ready)) | (~node2(s63, s64)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s63))),
% 1.75/1.92 inference(modus_ponens,[status(thm)],[15151, 15150])).
% 1.75/1.92 tff(15153,plain,
% 1.75/1.92 ((~m_main_v_state(s63, c_ready)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s63))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15152, 3175, 15149])).
% 1.75/1.92 tff(15154,plain,
% 1.75/1.92 (~m_main_v_request(s63)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15153, 15145, 15134])).
% 1.75/1.92 tff(15155,plain,
% 1.75/1.92 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s63) | (~node4(s63)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s63) | (~node4(s63)))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15156,plain,
% 1.75/1.92 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s63) | (~node4(s63)))),
% 1.75/1.92 inference(quant_inst,[status(thm)],[])).
% 1.75/1.92 tff(15157,plain,
% 1.75/1.92 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s63) | (~node4(s63))),
% 1.75/1.92 inference(modus_ponens,[status(thm)],[15156, 15155])).
% 1.75/1.92 tff(15158,plain,
% 1.75/1.92 (~node4(s63)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15157, 3141, 15154])).
% 1.75/1.92 tff(15159,plain,
% 1.75/1.92 (xuntil6(s63) | node4(s63)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1418, 614, 13322])).
% 1.75/1.92 tff(15160,plain,
% 1.75/1.92 (xuntil6(s63)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15159, 15158])).
% 1.75/1.92 tff(15161,plain,
% 1.75/1.92 (until5(s64)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1398, 15160])).
% 1.75/1.92 tff(15162,plain,
% 1.75/1.92 (xuntil6(s64)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1389, 614, 15161, 15133])).
% 1.75/1.92 tff(15163,plain,
% 1.75/1.92 (until5(s65)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1369, 15162])).
% 1.75/1.92 tff(15164,plain,
% 1.75/1.92 (xuntil6(s65)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[13560, 15163, 8122])).
% 1.75/1.92 tff(15165,plain,
% 1.75/1.92 (until5(s66)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1340, 15164])).
% 1.75/1.92 tff(15166,plain,
% 1.75/1.92 (xuntil6(s66)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[13592, 15165])).
% 1.75/1.92 tff(15167,plain,
% 1.75/1.92 (until5(s67)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1311, 15166])).
% 1.75/1.92 tff(15168,plain,
% 1.75/1.92 (xuntil6(s67)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[14921, 15167])).
% 1.75/1.92 tff(15169,plain,
% 1.75/1.92 (until5(s68)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1282, 15168])).
% 1.75/1.92 tff(15170,plain,
% 1.75/1.92 (xuntil6(s68)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[14929, 15169])).
% 1.75/1.92 tff(15171,plain,
% 1.75/1.92 (until5(s69)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1253, 15170])).
% 1.75/1.92 tff(15172,plain,
% 1.75/1.92 (xuntil6(s69)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[14005, 15171, 8122])).
% 1.75/1.92 tff(15173,plain,
% 1.75/1.92 (until5(s70)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1224, 15172])).
% 1.75/1.92 tff(15174,plain,
% 1.75/1.92 (xuntil6(s70)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[14938, 15173])).
% 1.75/1.92 tff(15175,plain,
% 1.75/1.92 (until5(s71)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1195, 15174])).
% 1.75/1.92 tff(15176,plain,
% 1.75/1.92 (xuntil6(s71)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[14191, 15175, 8122])).
% 1.75/1.92 tff(15177,plain,
% 1.75/1.92 (until5(s72)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1166, 15176])).
% 1.75/1.92 tff(15178,plain,
% 1.75/1.92 (xuntil6(s74)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[14409, 15177, 8122])).
% 1.75/1.92 tff(15179,plain,
% 1.75/1.92 (until5(s75)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1079, 15178])).
% 1.75/1.92 tff(15180,plain,
% 1.75/1.92 (xuntil6(s75)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[8908, 15179])).
% 1.75/1.92 tff(15181,plain,
% 1.75/1.92 (until5(s76)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1050, 15180])).
% 1.75/1.92 tff(15182,plain,
% 1.75/1.92 (xuntil6(s76)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[14439, 15181])).
% 1.75/1.92 tff(15183,plain,
% 1.75/1.92 (until5(s77)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1021, 15182])).
% 1.75/1.92 tff(15184,plain,
% 1.75/1.92 (xuntil6(s77)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[8967, 15183, 15179])).
% 1.75/1.92 tff(15185,plain,
% 1.75/1.92 (until5(s78)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[992, 15184])).
% 1.75/1.92 tff(15186,plain,
% 1.75/1.92 (xuntil6(s79)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[14445, 15185])).
% 1.75/1.92 tff(15187,plain,
% 1.75/1.92 (until5(s80)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[934, 15186])).
% 1.75/1.92 tff(15188,plain,
% 1.75/1.92 (xuntil6(s81)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[11964, 15187, 15179, 8122])).
% 1.75/1.92 tff(15189,plain,
% 1.75/1.92 (until5(s82)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[876, 15188])).
% 1.75/1.92 tff(15190,plain,
% 1.75/1.92 (xuntil6(s99)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[11685, 15189, 3009])).
% 1.75/1.92 tff(15191,plain,
% 1.75/1.92 (~trans(s99, s67)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[4423, 15190, 15002])).
% 1.75/1.92 tff(15192,plain,
% 1.75/1.92 (~trans(s99, s73)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[4778, 15190, 14973])).
% 1.75/1.92 tff(15193,plain,
% 1.75/1.92 (~trans(s99, s76)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[4712, 15190, 14517])).
% 1.75/1.92 tff(15194,plain,
% 1.75/1.92 (~trans(s99, s74)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[14534, 15190, 14522])).
% 1.75/1.92 tff(15195,plain,
% 1.75/1.92 (~trans(s99, s69)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[4943, 15190, 14996])).
% 1.75/1.92 tff(15196,plain,
% 1.75/1.92 (~trans(s99, s68)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[5075, 15190, 14999])).
% 1.75/1.92 tff(15197,plain,
% 1.75/1.92 (~trans(s99, s71)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[5220, 15190, 14986])).
% 1.75/1.92 tff(15198,plain,
% 1.75/1.92 (~trans(s99, s72)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[5119, 15190, 14980])).
% 1.75/1.92 tff(15199,plain,
% 1.75/1.92 (~trans(s99, s66)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[5231, 15190, 15021])).
% 1.75/1.92 tff(15200,plain,
% 1.75/1.92 (always3(s66)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1349, 15131])).
% 1.75/1.92 tff(15201,plain,
% 1.75/1.92 (~m_main_v_state(s66, c_busy)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[13534, 3154, 15200])).
% 1.75/1.92 tff(15202,plain,
% 1.75/1.92 (m_main_v_state(s65, c_ready)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[22, 19, 15132])).
% 1.75/1.92 tff(15203,plain,
% 1.75/1.92 (~m_main_v_request(s65)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[13550, 15202, 15201])).
% 1.75/1.92 tff(15204,plain,
% 1.75/1.92 (~node4(s65)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[13541, 3141, 15203])).
% 1.75/1.92 tff(15205,plain,
% 1.75/1.92 (~until2p7(s65)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15039, 15204])).
% 1.75/1.92 tff(15206,plain,
% 1.75/1.92 (~xuntil2p8(s64)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[3536, 15205])).
% 1.75/1.92 tff(15207,plain,
% 1.75/1.92 (~until2p7(s64)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[3542, 3051, 15206, 15133])).
% 1.75/1.92 tff(15208,plain,
% 1.75/1.92 (~xuntil2p8(s63)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[3548, 15207])).
% 1.75/1.92 tff(15209,plain,
% 1.75/1.92 (xuntil2p8(s63) | (~until2p7(s63))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[3554, 3051, 15158])).
% 1.75/1.92 tff(15210,plain,
% 1.75/1.92 (~until2p7(s63)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15209, 15208])).
% 1.75/1.92 tff(15211,plain,
% 1.75/1.92 (~trans(s99, s63)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[5451, 15190, 15210])).
% 1.75/1.92 tff(15212,plain,
% 1.75/1.92 (~trans(s99, s70)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[5418, 15190, 14989])).
% 1.75/1.92 tff(15213,plain,
% 1.75/1.92 (~trans(s99, s65)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[5031, 15190, 15205])).
% 1.75/1.92 tff(15214,plain,
% 1.75/1.92 (~trans(s99, s64)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[5462, 15190, 15207])).
% 1.75/1.92 tff(15215,plain,
% 1.75/1.92 ($false),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[13128, 15214, 15213, 3009, 8425, 8429, 8428, 8427, 15212, 15211, 8426, 10897, 8424, 8423, 8422, 8421, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 15199, 15198, 8358, 8357, 8356, 8355, 8354, 15197, 8353, 9398, 8352, 15196, 8351, 8350, 9507, 15190, 8338, 9503, 9502, 9501, 8302, 8301, 15195, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 15194, 8281, 8280, 8279, 8278, 15193, 8277, 8276, 8275, 8274, 15192, 8273, 15191, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 15179, 8122])).
% 1.75/1.92 tff(15216,plain,(trans(s99, s75) | node4(s99) | trans(s99, s33) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s21) | trans(s99, s49) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | (~until5(s39)) | (~until5(s63))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.92 tff(15217,plain,
% 1.75/1.92 (trans(s99, s75) | node4(s99) | trans(s99, s33) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s21) | trans(s99, s49) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | (~until5(s63))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15216, 8100])).
% 1.75/1.92 tff(15218,plain,
% 1.75/1.92 (trans(s99, s75)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15217, 3009, 8425, 8429, 8428, 8427, 8426, 10897, 8424, 8423, 8422, 8421, 8420, 9517, 8408, 9516, 8396, 9515, 8384, 8383, 9513, 9520, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 9507, 8338, 9503, 9502, 9501, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 10888, 8260, 10885, 10883, 8229, 8228, 8227, 13322])).
% 1.75/1.92 tff(15219,plain,
% 1.75/1.92 (~until5(s71)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[14191, 14014, 8100])).
% 1.75/1.92 tff(15220,plain,
% 1.75/1.92 (~xuntil6(s70)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1195, 15219])).
% 1.75/1.92 tff(15221,plain,
% 1.75/1.92 (~until5(s65)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[13560, 13432, 8100])).
% 1.75/1.92 tff(15222,plain,
% 1.75/1.92 (~xuntil6(s64)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1369, 15221])).
% 1.75/1.92 tff(15223,plain,
% 1.75/1.92 (always3(s63)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[13423, 13326, 8100])).
% 1.75/1.92 tff(15224,plain,
% 1.75/1.92 (~m_main_v_state(s63, c_busy)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15140, 3154, 15223])).
% 1.75/1.92 tff(15225,plain,
% 1.75/1.92 (always3(s63)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[13423, 13326, 8122])).
% 1.75/1.92 tff(15226,plain,
% 1.75/1.92 (always3(s64)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1407, 15225])).
% 1.75/1.92 tff(15227,plain,
% 1.75/1.92 (~m_main_v_state(s64, c_busy)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15069, 3154, 15226])).
% 1.75/1.92 tff(15228,plain,
% 1.75/1.92 (node4(s63)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15159, 13326])).
% 1.75/1.92 tff(15229,plain,
% 1.75/1.92 (m_main_v_request(s63)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15157, 3141, 15228])).
% 1.75/1.92 tff(15230,plain,
% 1.75/1.92 (~m_main_v_state(s63, c_ready)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15153, 15229, 15227])).
% 1.75/1.92 tff(15231,plain,
% 1.75/1.92 (m_main_v_state(s63, c_busy)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15144, 19, 15230])).
% 1.75/1.92 tff(15232,plain,
% 1.75/1.92 ($false),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15140, 3154, 15225, 15231])).
% 1.75/1.92 tff(15233,plain,(xuntil6(s63) | (~until5(s63)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.92 tff(15234,plain,
% 1.75/1.92 (~until5(s63)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15233, 13326, 8100])).
% 1.75/1.92 tff(15235,plain,
% 1.75/1.92 (~xuntil6(s62)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2887, 15234])).
% 1.75/1.92 tff(15236,plain,
% 1.75/1.92 (always3(s62)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[8223, 15235, 8100])).
% 1.75/1.92 tff(15237,plain,
% 1.75/1.92 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s62)) | (~m_main_v_state(s62, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s62)) | (~m_main_v_state(s62, c_busy)))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15238,plain,
% 1.75/1.92 (((~m_main_v_state(s62, c_busy)) | (~always3(s62))) <=> ((~always3(s62)) | (~m_main_v_state(s62, c_busy)))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15239,plain,
% 1.75/1.92 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s62, c_busy)) | (~always3(s62)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s62)) | (~m_main_v_state(s62, c_busy))))),
% 1.75/1.92 inference(monotonicity,[status(thm)],[15238])).
% 1.75/1.92 tff(15240,plain,
% 1.75/1.92 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s62, c_busy)) | (~always3(s62)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s62)) | (~m_main_v_state(s62, c_busy)))),
% 1.75/1.92 inference(transitivity,[status(thm)],[15239, 15237])).
% 1.75/1.92 tff(15241,plain,
% 1.75/1.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s62, c_busy)) | (~always3(s62)))),
% 1.75/1.92 inference(quant_inst,[status(thm)],[])).
% 1.75/1.92 tff(15242,plain,
% 1.75/1.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s62)) | (~m_main_v_state(s62, c_busy))),
% 1.75/1.92 inference(modus_ponens,[status(thm)],[15241, 15240])).
% 1.75/1.92 tff(15243,plain,
% 1.75/1.92 (~m_main_v_state(s62, c_busy)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15242, 3154, 15236])).
% 1.75/1.92 tff(15244,plain,
% 1.75/1.92 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s62, c_busy) | m_main_v_state(s62, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s62, c_busy) | m_main_v_state(s62, c_ready))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15245,plain,
% 1.75/1.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s62, c_busy) | m_main_v_state(s62, c_ready))),
% 1.75/1.92 inference(quant_inst,[status(thm)],[])).
% 1.75/1.92 tff(15246,plain,
% 1.75/1.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s62, c_busy) | m_main_v_state(s62, c_ready)),
% 1.75/1.92 inference(modus_ponens,[status(thm)],[15245, 15244])).
% 1.75/1.92 tff(15247,plain,
% 1.75/1.92 (m_main_v_state(s62, c_ready)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15246, 19, 15243])).
% 1.75/1.92 tff(15248,assumption,(~xuntil6(s58)), introduced(assumption)).
% 1.75/1.92 tff(15249,plain,
% 1.75/1.92 (~always3(s57)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1491, 8234])).
% 1.75/1.92 tff(15250,plain,
% 1.75/1.92 (~node4(s57)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2789, 595, 15249])).
% 1.75/1.92 tff(15251,plain,
% 1.75/1.92 (~node4(s58)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2806, 595, 8234])).
% 1.75/1.92 tff(15252,plain,
% 1.75/1.92 (node4(s58) | (~until5(s58))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2813, 614, 15248])).
% 1.75/1.92 tff(15253,plain,
% 1.75/1.92 (~until5(s58)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15252, 15251])).
% 1.75/1.92 tff(15254,plain,
% 1.75/1.92 (~xuntil6(s57)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2802, 15253])).
% 1.75/1.92 tff(15255,plain,
% 1.75/1.92 (~until5(s57)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2796, 614, 15254, 15250])).
% 1.75/1.92 tff(15256,plain,
% 1.75/1.92 (~xuntil6(s56)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2785, 15255])).
% 1.75/1.92 tff(15257,plain,
% 1.75/1.92 (~always3(s56)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1503, 15249])).
% 1.75/1.92 tff(15258,plain,
% 1.75/1.92 (~node4(s56)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2772, 595, 15257])).
% 1.75/1.92 tff(15259,plain,
% 1.75/1.92 (xuntil6(s56) | (~until5(s56))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2779, 614, 15258])).
% 1.75/1.92 tff(15260,plain,
% 1.75/1.92 (~until5(s56)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15259, 15256])).
% 1.75/1.92 tff(15261,plain,
% 1.75/1.92 (~xuntil6(s55)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2768, 15260])).
% 1.75/1.92 tff(15262,plain,
% 1.75/1.92 (~always3(s55)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1515, 15257])).
% 1.75/1.92 tff(15263,plain,
% 1.75/1.92 (~node4(s55)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2755, 595, 15262])).
% 1.75/1.92 tff(15264,plain,
% 1.75/1.92 (xuntil6(s55) | (~until5(s55))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2762, 614, 15263])).
% 1.75/1.92 tff(15265,plain,
% 1.75/1.92 (~until5(s55)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15264, 15261])).
% 1.75/1.92 tff(15266,plain,
% 1.75/1.92 (~xuntil6(s54)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2751, 15265])).
% 1.75/1.92 tff(15267,plain,
% 1.75/1.92 (~always3(s54)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1527, 15262])).
% 1.75/1.92 tff(15268,plain,
% 1.75/1.92 (~node4(s54)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2738, 595, 15267])).
% 1.75/1.92 tff(15269,plain,
% 1.75/1.92 (xuntil6(s54) | (~until5(s54))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2745, 614, 15268])).
% 1.75/1.92 tff(15270,plain,
% 1.75/1.92 (~until5(s54)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15269, 15266])).
% 1.75/1.92 tff(15271,plain,
% 1.75/1.92 (~xuntil6(s53)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2734, 15270])).
% 1.75/1.92 tff(15272,plain,
% 1.75/1.92 (~always3(s53)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1539, 15267])).
% 1.75/1.92 tff(15273,plain,
% 1.75/1.92 (~node4(s53)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2721, 595, 15272])).
% 1.75/1.92 tff(15274,plain,
% 1.75/1.92 (xuntil6(s53) | (~until5(s53))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2728, 614, 15273])).
% 1.75/1.92 tff(15275,plain,
% 1.75/1.92 (~until5(s53)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15274, 15271])).
% 1.75/1.92 tff(15276,plain,
% 1.75/1.92 (~xuntil6(s52)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2717, 15275])).
% 1.75/1.92 tff(15277,plain,
% 1.75/1.92 (~always3(s52)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1551, 15272])).
% 1.75/1.92 tff(15278,plain,
% 1.75/1.92 (~node4(s52)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2704, 595, 15277])).
% 1.75/1.92 tff(15279,plain,
% 1.75/1.92 (xuntil6(s52) | (~until5(s52))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2711, 614, 15278])).
% 1.75/1.92 tff(15280,plain,
% 1.75/1.92 (~until5(s52)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15279, 15276])).
% 1.75/1.92 tff(15281,plain,
% 1.75/1.92 (~xuntil6(s51)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2700, 15280])).
% 1.75/1.92 tff(15282,plain,
% 1.75/1.92 (~always3(s51)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1563, 15277])).
% 1.75/1.92 tff(15283,plain,
% 1.75/1.92 (~always3(s50)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1575, 15282])).
% 1.75/1.92 tff(15284,plain,
% 1.75/1.92 (~always3(s49)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1587, 15283])).
% 1.75/1.92 tff(15285,plain,
% 1.75/1.92 (~always3(s48)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1599, 15284])).
% 1.75/1.92 tff(15286,plain,
% 1.75/1.92 (~always3(s47)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[54, 15285])).
% 1.75/1.92 tff(15287,plain,
% 1.75/1.92 (~always3(s46)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[66, 15286])).
% 1.75/1.92 tff(15288,plain,
% 1.75/1.92 (~always3(s45)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[78, 15287])).
% 1.75/1.92 tff(15289,plain,
% 1.75/1.92 (~node4(s45)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2585, 595, 15288])).
% 1.75/1.92 tff(15290,plain,
% 1.75/1.92 (~always3(s44)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[90, 15288])).
% 1.75/1.92 tff(15291,plain,
% 1.75/1.92 (~node4(s44)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2568, 595, 15290])).
% 1.75/1.92 tff(15292,plain,
% 1.75/1.92 (~always3(s43)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[102, 15290])).
% 1.75/1.92 tff(15293,plain,
% 1.75/1.92 (xuntil6(s43)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[8147, 15292, 8122])).
% 1.75/1.92 tff(15294,plain,
% 1.75/1.92 (until5(s44)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2564, 15293])).
% 1.75/1.92 tff(15295,plain,
% 1.75/1.92 (xuntil6(s44) | node4(s44)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2575, 614, 15294])).
% 1.75/1.92 tff(15296,plain,
% 1.75/1.92 (xuntil6(s44)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15295, 15291])).
% 1.75/1.92 tff(15297,plain,
% 1.75/1.92 (until5(s45)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2581, 15296])).
% 1.75/1.92 tff(15298,plain,
% 1.75/1.92 (xuntil6(s45)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2592, 614, 15297, 15289])).
% 1.75/1.92 tff(15299,plain,
% 1.75/1.92 (until5(s46)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2598, 15298])).
% 1.75/1.92 tff(15300,plain,
% 1.75/1.92 (~node4(s46)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2602, 595, 15287])).
% 1.75/1.92 tff(15301,plain,
% 1.75/1.92 (xuntil6(s46) | (~until5(s46))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2609, 614, 15300])).
% 1.75/1.92 tff(15302,plain,
% 1.75/1.92 (xuntil6(s46)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15301, 15299])).
% 1.75/1.92 tff(15303,plain,
% 1.75/1.92 (until5(s47)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2615, 15302])).
% 1.75/1.92 tff(15304,plain,
% 1.75/1.92 (~node4(s47)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2619, 595, 15286])).
% 1.75/1.92 tff(15305,plain,
% 1.75/1.92 (xuntil6(s47) | (~until5(s47))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2626, 614, 15304])).
% 1.75/1.92 tff(15306,plain,
% 1.75/1.92 (xuntil6(s47)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15305, 15303])).
% 1.75/1.92 tff(15307,plain,
% 1.75/1.92 (until5(s48)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2632, 15306])).
% 1.75/1.92 tff(15308,plain,
% 1.75/1.92 (~node4(s48)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2636, 595, 15285])).
% 1.75/1.92 tff(15309,plain,
% 1.75/1.92 (xuntil6(s48) | (~until5(s48))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2643, 614, 15308])).
% 1.75/1.92 tff(15310,plain,
% 1.75/1.92 (xuntil6(s48)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15309, 15307])).
% 1.75/1.92 tff(15311,plain,
% 1.75/1.92 (until5(s49)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2649, 15310])).
% 1.75/1.92 tff(15312,plain,
% 1.75/1.92 (~node4(s49)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2653, 595, 15284])).
% 1.75/1.92 tff(15313,plain,
% 1.75/1.92 (xuntil6(s49) | (~until5(s49))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2660, 614, 15312])).
% 1.75/1.92 tff(15314,plain,
% 1.75/1.92 (xuntil6(s49)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15313, 15311])).
% 1.75/1.92 tff(15315,plain,
% 1.75/1.92 (until5(s50)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2666, 15314])).
% 1.75/1.92 tff(15316,plain,
% 1.75/1.92 (~node4(s50)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2670, 595, 15283])).
% 1.75/1.92 tff(15317,plain,
% 1.75/1.92 (xuntil6(s50) | (~until5(s50))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2677, 614, 15316])).
% 1.75/1.92 tff(15318,plain,
% 1.75/1.92 (xuntil6(s50)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15317, 15315])).
% 1.75/1.92 tff(15319,plain,
% 1.75/1.92 (until5(s51)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2683, 15318])).
% 1.75/1.92 tff(15320,plain,
% 1.75/1.92 (~node4(s51)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2687, 595, 15282])).
% 1.75/1.92 tff(15321,plain,
% 1.75/1.92 (xuntil6(s51) | (~until5(s51))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2694, 614, 15320])).
% 1.75/1.92 tff(15322,plain,
% 1.75/1.92 ($false),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15321, 15319, 15281])).
% 1.75/1.92 tff(15323,plain,(always3(s58) | xuntil6(s58) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.92 tff(15324,plain,
% 1.75/1.92 (always3(s58)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15323, 15248, 8100])).
% 1.75/1.92 tff(15325,plain,
% 1.75/1.92 (always3(s59)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1479, 15324])).
% 1.75/1.92 tff(15326,plain,
% 1.75/1.92 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s59)) | (~m_main_v_state(s59, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s59)) | (~m_main_v_state(s59, c_busy)))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15327,plain,
% 1.75/1.92 (((~m_main_v_state(s59, c_busy)) | (~always3(s59))) <=> ((~always3(s59)) | (~m_main_v_state(s59, c_busy)))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15328,plain,
% 1.75/1.92 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s59, c_busy)) | (~always3(s59)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s59)) | (~m_main_v_state(s59, c_busy))))),
% 1.75/1.92 inference(monotonicity,[status(thm)],[15327])).
% 1.75/1.92 tff(15329,plain,
% 1.75/1.92 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s59, c_busy)) | (~always3(s59)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s59)) | (~m_main_v_state(s59, c_busy)))),
% 1.75/1.92 inference(transitivity,[status(thm)],[15328, 15326])).
% 1.75/1.92 tff(15330,plain,
% 1.75/1.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s59, c_busy)) | (~always3(s59)))),
% 1.75/1.92 inference(quant_inst,[status(thm)],[])).
% 1.75/1.92 tff(15331,plain,
% 1.75/1.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s59)) | (~m_main_v_state(s59, c_busy))),
% 1.75/1.92 inference(modus_ponens,[status(thm)],[15330, 15329])).
% 1.75/1.92 tff(15332,plain,
% 1.75/1.92 (~m_main_v_state(s59, c_busy)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15331, 3154, 15325])).
% 1.75/1.92 tff(15333,plain,
% 1.75/1.92 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s58)) | (~m_main_v_state(s58, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s58)) | (~m_main_v_state(s58, c_busy)))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15334,plain,
% 1.75/1.92 (((~m_main_v_state(s58, c_busy)) | (~always3(s58))) <=> ((~always3(s58)) | (~m_main_v_state(s58, c_busy)))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15335,plain,
% 1.75/1.92 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s58, c_busy)) | (~always3(s58)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s58)) | (~m_main_v_state(s58, c_busy))))),
% 1.75/1.92 inference(monotonicity,[status(thm)],[15334])).
% 1.75/1.92 tff(15336,plain,
% 1.75/1.92 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s58, c_busy)) | (~always3(s58)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s58)) | (~m_main_v_state(s58, c_busy)))),
% 1.75/1.92 inference(transitivity,[status(thm)],[15335, 15333])).
% 1.75/1.92 tff(15337,plain,
% 1.75/1.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s58, c_busy)) | (~always3(s58)))),
% 1.75/1.92 inference(quant_inst,[status(thm)],[])).
% 1.75/1.92 tff(15338,plain,
% 1.75/1.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s58)) | (~m_main_v_state(s58, c_busy))),
% 1.75/1.92 inference(modus_ponens,[status(thm)],[15337, 15336])).
% 1.75/1.92 tff(15339,plain,
% 1.75/1.92 (~m_main_v_state(s58, c_busy)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15338, 3154, 15324])).
% 1.75/1.92 tff(15340,plain,
% 1.75/1.92 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s58, c_busy) | m_main_v_state(s58, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s58, c_busy) | m_main_v_state(s58, c_ready))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15341,plain,
% 1.75/1.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s58, c_busy) | m_main_v_state(s58, c_ready))),
% 1.75/1.92 inference(quant_inst,[status(thm)],[])).
% 1.75/1.92 tff(15342,plain,
% 1.75/1.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s58, c_busy) | m_main_v_state(s58, c_ready)),
% 1.75/1.92 inference(modus_ponens,[status(thm)],[15341, 15340])).
% 1.75/1.92 tff(15343,plain,
% 1.75/1.92 (m_main_v_state(s58, c_ready)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15342, 19, 15339])).
% 1.75/1.92 tff(15344,assumption,(~m_main_v_state(s58, c_busy)), introduced(assumption)).
% 1.75/1.92 tff(15345,assumption,(node4(s57)), introduced(assumption)).
% 1.75/1.92 tff(15346,plain,
% 1.75/1.92 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s57) | (~node4(s57)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s57) | (~node4(s57)))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15347,plain,
% 1.75/1.92 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s57) | (~node4(s57)))),
% 1.75/1.92 inference(quant_inst,[status(thm)],[])).
% 1.75/1.92 tff(15348,plain,
% 1.75/1.92 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s57) | (~node4(s57))),
% 1.75/1.92 inference(modus_ponens,[status(thm)],[15347, 15346])).
% 1.75/1.92 tff(15349,plain,
% 1.75/1.92 (m_main_v_request(s57)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15348, 3141, 15345])).
% 1.75/1.92 tff(15350,plain,
% 1.75/1.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s57, s58)) | node2(s57, s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s57, s58)) | node2(s57, s58))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15351,plain,
% 1.75/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s57, s58)) | node2(s57, s58))),
% 1.75/1.92 inference(quant_inst,[status(thm)],[])).
% 1.75/1.92 tff(15352,plain,
% 1.75/1.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s57, s58)) | node2(s57, s58)),
% 1.75/1.92 inference(modus_ponens,[status(thm)],[15351, 15350])).
% 1.75/1.92 tff(15353,plain,
% 1.75/1.92 (node2(s57, s58)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15352, 7, 1487])).
% 1.75/1.92 tff(15354,plain,
% 1.75/1.92 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s57, c_ready)) | (~node2(s57, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s57, c_ready)) | (~node2(s57, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57)))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15355,plain,
% 1.75/1.92 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s57, c_ready)) | (~node2(s57, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57)))),
% 1.75/1.92 inference(quant_inst,[status(thm)],[])).
% 1.75/1.92 tff(15356,plain,
% 1.75/1.92 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s57, c_ready)) | (~node2(s57, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57))),
% 1.75/1.92 inference(modus_ponens,[status(thm)],[15355, 15354])).
% 1.75/1.92 tff(15357,plain,
% 1.75/1.92 ((~m_main_v_state(s57, c_ready)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15356, 3175, 15353])).
% 1.75/1.92 tff(15358,plain,
% 1.75/1.92 (~m_main_v_state(s57, c_ready)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15357, 15349, 15344])).
% 1.75/1.92 tff(15359,plain,
% 1.75/1.92 (always3(s57)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2789, 595, 15345])).
% 1.75/1.92 tff(15360,plain,
% 1.75/1.92 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s57)) | (~m_main_v_state(s57, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s57)) | (~m_main_v_state(s57, c_busy)))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15361,plain,
% 1.75/1.92 (((~m_main_v_state(s57, c_busy)) | (~always3(s57))) <=> ((~always3(s57)) | (~m_main_v_state(s57, c_busy)))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15362,plain,
% 1.75/1.92 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s57, c_busy)) | (~always3(s57)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s57)) | (~m_main_v_state(s57, c_busy))))),
% 1.75/1.92 inference(monotonicity,[status(thm)],[15361])).
% 1.75/1.92 tff(15363,plain,
% 1.75/1.92 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s57, c_busy)) | (~always3(s57)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s57)) | (~m_main_v_state(s57, c_busy)))),
% 1.75/1.92 inference(transitivity,[status(thm)],[15362, 15360])).
% 1.75/1.92 tff(15364,plain,
% 1.75/1.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s57, c_busy)) | (~always3(s57)))),
% 1.75/1.92 inference(quant_inst,[status(thm)],[])).
% 1.75/1.92 tff(15365,plain,
% 1.75/1.92 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s57)) | (~m_main_v_state(s57, c_busy))),
% 1.75/1.92 inference(modus_ponens,[status(thm)],[15364, 15363])).
% 1.75/1.92 tff(15366,plain,
% 1.75/1.92 (~m_main_v_state(s57, c_busy)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15365, 3154, 15359])).
% 1.75/1.92 tff(15367,plain,
% 1.75/1.92 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s57, c_busy) | m_main_v_state(s57, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s57, c_busy) | m_main_v_state(s57, c_ready))),
% 1.75/1.92 inference(rewrite,[status(thm)],[])).
% 1.75/1.92 tff(15368,plain,
% 1.75/1.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s57, c_busy) | m_main_v_state(s57, c_ready))),
% 1.75/1.92 inference(quant_inst,[status(thm)],[])).
% 1.75/1.92 tff(15369,plain,
% 1.75/1.92 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s57, c_busy) | m_main_v_state(s57, c_ready)),
% 1.75/1.92 inference(modus_ponens,[status(thm)],[15368, 15367])).
% 1.75/1.92 tff(15370,plain,
% 1.75/1.92 ($false),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15369, 19, 15366, 15358])).
% 1.75/1.92 tff(15371,plain,((~node4(s57)) | m_main_v_state(s58, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.92 tff(15372,plain,
% 1.75/1.92 (~node4(s57)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15371, 15339])).
% 1.75/1.92 tff(15373,assumption,(~xuntil6(s56)), introduced(assumption)).
% 1.75/1.92 tff(15374,plain,
% 1.75/1.92 (~always3(s55)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1515, 8313])).
% 1.75/1.92 tff(15375,plain,
% 1.75/1.92 (~node4(s55)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2755, 595, 15374])).
% 1.75/1.92 tff(15376,plain,
% 1.75/1.92 (~node4(s56)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2772, 595, 8313])).
% 1.75/1.92 tff(15377,plain,
% 1.75/1.92 (node4(s56) | (~until5(s56))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2779, 614, 15373])).
% 1.75/1.92 tff(15378,plain,
% 1.75/1.92 (~until5(s56)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15377, 15376])).
% 1.75/1.92 tff(15379,plain,
% 1.75/1.92 (~xuntil6(s55)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2768, 15378])).
% 1.75/1.92 tff(15380,plain,
% 1.75/1.92 (~until5(s55)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2762, 614, 15379, 15375])).
% 1.75/1.92 tff(15381,plain,
% 1.75/1.92 (~xuntil6(s54)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2751, 15380])).
% 1.75/1.92 tff(15382,plain,
% 1.75/1.92 (~always3(s54)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1527, 15374])).
% 1.75/1.92 tff(15383,plain,
% 1.75/1.92 (~node4(s54)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2738, 595, 15382])).
% 1.75/1.92 tff(15384,plain,
% 1.75/1.92 (xuntil6(s54) | (~until5(s54))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2745, 614, 15383])).
% 1.75/1.92 tff(15385,plain,
% 1.75/1.92 (~until5(s54)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15384, 15381])).
% 1.75/1.92 tff(15386,plain,
% 1.75/1.92 (~xuntil6(s53)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2734, 15385])).
% 1.75/1.92 tff(15387,plain,
% 1.75/1.92 (~always3(s53)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1539, 15382])).
% 1.75/1.92 tff(15388,plain,
% 1.75/1.92 (~node4(s53)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2721, 595, 15387])).
% 1.75/1.92 tff(15389,plain,
% 1.75/1.92 (xuntil6(s53) | (~until5(s53))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2728, 614, 15388])).
% 1.75/1.92 tff(15390,plain,
% 1.75/1.92 (~until5(s53)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15389, 15386])).
% 1.75/1.92 tff(15391,plain,
% 1.75/1.92 (~xuntil6(s52)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2717, 15390])).
% 1.75/1.92 tff(15392,plain,
% 1.75/1.92 (~always3(s52)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1551, 15387])).
% 1.75/1.92 tff(15393,plain,
% 1.75/1.92 (~node4(s52)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2704, 595, 15392])).
% 1.75/1.92 tff(15394,plain,
% 1.75/1.92 (xuntil6(s52) | (~until5(s52))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2711, 614, 15393])).
% 1.75/1.92 tff(15395,plain,
% 1.75/1.92 (~until5(s52)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15394, 15391])).
% 1.75/1.92 tff(15396,plain,
% 1.75/1.92 (~xuntil6(s51)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2700, 15395])).
% 1.75/1.92 tff(15397,plain,
% 1.75/1.92 (~always3(s51)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1563, 15392])).
% 1.75/1.92 tff(15398,plain,
% 1.75/1.92 (~node4(s51)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2687, 595, 15397])).
% 1.75/1.92 tff(15399,plain,
% 1.75/1.92 (xuntil6(s51) | (~until5(s51))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2694, 614, 15398])).
% 1.75/1.92 tff(15400,plain,
% 1.75/1.92 (~until5(s51)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15399, 15396])).
% 1.75/1.92 tff(15401,plain,
% 1.75/1.92 (~xuntil6(s50)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2683, 15400])).
% 1.75/1.92 tff(15402,plain,
% 1.75/1.92 (~always3(s50)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1575, 15397])).
% 1.75/1.92 tff(15403,plain,
% 1.75/1.92 (~always3(s49)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1587, 15402])).
% 1.75/1.92 tff(15404,plain,
% 1.75/1.92 (~always3(s48)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1599, 15403])).
% 1.75/1.92 tff(15405,plain,
% 1.75/1.92 (~always3(s47)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[54, 15404])).
% 1.75/1.92 tff(15406,plain,
% 1.75/1.92 (~always3(s46)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[66, 15405])).
% 1.75/1.92 tff(15407,plain,
% 1.75/1.92 (~always3(s45)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[78, 15406])).
% 1.75/1.92 tff(15408,plain,
% 1.75/1.92 (~node4(s45)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2585, 595, 15407])).
% 1.75/1.92 tff(15409,plain,
% 1.75/1.92 (~always3(s44)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[90, 15407])).
% 1.75/1.92 tff(15410,plain,
% 1.75/1.92 (~node4(s44)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2568, 595, 15409])).
% 1.75/1.92 tff(15411,plain,
% 1.75/1.92 (~always3(s43)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[102, 15409])).
% 1.75/1.92 tff(15412,plain,
% 1.75/1.92 (xuntil6(s43)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[8147, 15411, 8122])).
% 1.75/1.92 tff(15413,plain,
% 1.75/1.92 (until5(s44)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2564, 15412])).
% 1.75/1.92 tff(15414,plain,
% 1.75/1.92 (xuntil6(s44) | node4(s44)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2575, 614, 15413])).
% 1.75/1.92 tff(15415,plain,
% 1.75/1.92 (xuntil6(s44)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15414, 15410])).
% 1.75/1.92 tff(15416,plain,
% 1.75/1.92 (until5(s45)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2581, 15415])).
% 1.75/1.92 tff(15417,plain,
% 1.75/1.92 (xuntil6(s45)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2592, 614, 15416, 15408])).
% 1.75/1.92 tff(15418,plain,
% 1.75/1.92 (until5(s46)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2598, 15417])).
% 1.75/1.92 tff(15419,plain,
% 1.75/1.92 (~node4(s46)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2602, 595, 15406])).
% 1.75/1.92 tff(15420,plain,
% 1.75/1.92 (xuntil6(s46) | (~until5(s46))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2609, 614, 15419])).
% 1.75/1.92 tff(15421,plain,
% 1.75/1.92 (xuntil6(s46)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15420, 15418])).
% 1.75/1.92 tff(15422,plain,
% 1.75/1.92 (until5(s47)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2615, 15421])).
% 1.75/1.92 tff(15423,plain,
% 1.75/1.92 (~node4(s47)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2619, 595, 15405])).
% 1.75/1.92 tff(15424,plain,
% 1.75/1.92 (xuntil6(s47) | (~until5(s47))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2626, 614, 15423])).
% 1.75/1.92 tff(15425,plain,
% 1.75/1.92 (xuntil6(s47)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15424, 15422])).
% 1.75/1.92 tff(15426,plain,
% 1.75/1.92 (until5(s48)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2632, 15425])).
% 1.75/1.92 tff(15427,plain,
% 1.75/1.92 (~node4(s48)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2636, 595, 15404])).
% 1.75/1.92 tff(15428,plain,
% 1.75/1.92 (xuntil6(s48) | (~until5(s48))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2643, 614, 15427])).
% 1.75/1.92 tff(15429,plain,
% 1.75/1.92 (xuntil6(s48)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15428, 15426])).
% 1.75/1.92 tff(15430,plain,
% 1.75/1.92 (until5(s49)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2649, 15429])).
% 1.75/1.92 tff(15431,plain,
% 1.75/1.92 (~node4(s49)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2653, 595, 15403])).
% 1.75/1.92 tff(15432,plain,
% 1.75/1.92 (xuntil6(s49) | (~until5(s49))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2660, 614, 15431])).
% 1.75/1.92 tff(15433,plain,
% 1.75/1.92 (xuntil6(s49)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15432, 15430])).
% 1.75/1.92 tff(15434,plain,
% 1.75/1.92 (until5(s50)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2666, 15433])).
% 1.75/1.92 tff(15435,plain,
% 1.75/1.92 (~node4(s50)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2670, 595, 15402])).
% 1.75/1.92 tff(15436,plain,
% 1.75/1.92 (xuntil6(s50) | (~until5(s50))),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[2677, 614, 15435])).
% 1.75/1.92 tff(15437,plain,
% 1.75/1.92 ($false),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15436, 15434, 15401])).
% 1.75/1.92 tff(15438,plain,(always3(s56) | xuntil6(s56) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.92 tff(15439,plain,
% 1.75/1.92 (always3(s56)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15438, 15373, 8100])).
% 1.75/1.92 tff(15440,plain,
% 1.75/1.92 (always3(s57)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[1503, 15439])).
% 1.75/1.92 tff(15441,plain,
% 1.75/1.92 (~m_main_v_state(s57, c_busy)),
% 1.75/1.92 inference(unit_resolution,[status(thm)],[15365, 3154, 15440])).
% 1.75/1.92 tff(15442,plain,
% 1.75/1.92 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s56)) | (~m_main_v_state(s56, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s56)) | (~m_main_v_state(s56, c_busy)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15443,plain,
% 1.75/1.93 (((~m_main_v_state(s56, c_busy)) | (~always3(s56))) <=> ((~always3(s56)) | (~m_main_v_state(s56, c_busy)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15444,plain,
% 1.75/1.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s56, c_busy)) | (~always3(s56)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s56)) | (~m_main_v_state(s56, c_busy))))),
% 1.75/1.93 inference(monotonicity,[status(thm)],[15443])).
% 1.75/1.93 tff(15445,plain,
% 1.75/1.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s56, c_busy)) | (~always3(s56)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s56)) | (~m_main_v_state(s56, c_busy)))),
% 1.75/1.93 inference(transitivity,[status(thm)],[15444, 15442])).
% 1.75/1.93 tff(15446,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s56, c_busy)) | (~always3(s56)))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15447,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s56)) | (~m_main_v_state(s56, c_busy))),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15446, 15445])).
% 1.75/1.93 tff(15448,plain,
% 1.75/1.93 (~m_main_v_state(s56, c_busy)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15447, 3154, 15439])).
% 1.75/1.93 tff(15449,plain,
% 1.75/1.93 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s56, c_busy) | m_main_v_state(s56, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s56, c_busy) | m_main_v_state(s56, c_ready))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15450,plain,
% 1.75/1.93 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s56, c_busy) | m_main_v_state(s56, c_ready))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15451,plain,
% 1.75/1.93 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s56, c_busy) | m_main_v_state(s56, c_ready)),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15450, 15449])).
% 1.75/1.93 tff(15452,plain,
% 1.75/1.93 (m_main_v_state(s56, c_ready)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15451, 19, 15448])).
% 1.75/1.93 tff(15453,assumption,(~xuntil6(s51)), introduced(assumption)).
% 1.75/1.93 tff(15454,plain,
% 1.75/1.93 (~always3(s50)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[1575, 8339])).
% 1.75/1.93 tff(15455,plain,
% 1.75/1.93 (~node4(s50)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2670, 595, 15454])).
% 1.75/1.93 tff(15456,plain,
% 1.75/1.93 (~node4(s51)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2687, 595, 8339])).
% 1.75/1.93 tff(15457,plain,
% 1.75/1.93 (node4(s51) | (~until5(s51))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2694, 614, 15453])).
% 1.75/1.93 tff(15458,plain,
% 1.75/1.93 (~until5(s51)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15457, 15456])).
% 1.75/1.93 tff(15459,plain,
% 1.75/1.93 (~xuntil6(s50)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2683, 15458])).
% 1.75/1.93 tff(15460,plain,
% 1.75/1.93 (~until5(s50)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2677, 614, 15459, 15455])).
% 1.75/1.93 tff(15461,plain,
% 1.75/1.93 (~xuntil6(s49)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2666, 15460])).
% 1.75/1.93 tff(15462,plain,
% 1.75/1.93 (~always3(s49)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[1587, 15454])).
% 1.75/1.93 tff(15463,plain,
% 1.75/1.93 (~node4(s49)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2653, 595, 15462])).
% 1.75/1.93 tff(15464,plain,
% 1.75/1.93 (xuntil6(s49) | (~until5(s49))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2660, 614, 15463])).
% 1.75/1.93 tff(15465,plain,
% 1.75/1.93 (~until5(s49)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15464, 15461])).
% 1.75/1.93 tff(15466,plain,
% 1.75/1.93 (~xuntil6(s48)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2649, 15465])).
% 1.75/1.93 tff(15467,plain,
% 1.75/1.93 (~always3(s48)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[1599, 15462])).
% 1.75/1.93 tff(15468,plain,
% 1.75/1.93 (~node4(s48)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2636, 595, 15467])).
% 1.75/1.93 tff(15469,plain,
% 1.75/1.93 (xuntil6(s48) | (~until5(s48))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2643, 614, 15468])).
% 1.75/1.93 tff(15470,plain,
% 1.75/1.93 (~until5(s48)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15469, 15466])).
% 1.75/1.93 tff(15471,plain,
% 1.75/1.93 (~always3(s47)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[54, 15467])).
% 1.75/1.93 tff(15472,plain,
% 1.75/1.93 (~always3(s46)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[66, 15471])).
% 1.75/1.93 tff(15473,plain,
% 1.75/1.93 (~always3(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[78, 15472])).
% 1.75/1.93 tff(15474,plain,
% 1.75/1.93 (~node4(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2585, 595, 15473])).
% 1.75/1.93 tff(15475,plain,
% 1.75/1.93 (~always3(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[90, 15473])).
% 1.75/1.93 tff(15476,plain,
% 1.75/1.93 (~node4(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2568, 595, 15475])).
% 1.75/1.93 tff(15477,plain,
% 1.75/1.93 (~always3(s43)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[102, 15475])).
% 1.75/1.93 tff(15478,plain,
% 1.75/1.93 (xuntil6(s43)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[8147, 15477, 8122])).
% 1.75/1.93 tff(15479,plain,
% 1.75/1.93 (until5(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2564, 15478])).
% 1.75/1.93 tff(15480,plain,
% 1.75/1.93 (xuntil6(s44) | node4(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2575, 614, 15479])).
% 1.75/1.93 tff(15481,plain,
% 1.75/1.93 (xuntil6(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15480, 15476])).
% 1.75/1.93 tff(15482,plain,
% 1.75/1.93 (until5(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2581, 15481])).
% 1.75/1.93 tff(15483,plain,
% 1.75/1.93 (xuntil6(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2592, 614, 15482, 15474])).
% 1.75/1.93 tff(15484,plain,
% 1.75/1.93 (until5(s46)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2598, 15483])).
% 1.75/1.93 tff(15485,plain,
% 1.75/1.93 (~node4(s46)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2602, 595, 15472])).
% 1.75/1.93 tff(15486,plain,
% 1.75/1.93 (xuntil6(s46) | (~until5(s46))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2609, 614, 15485])).
% 1.75/1.93 tff(15487,plain,
% 1.75/1.93 (xuntil6(s46)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15486, 15484])).
% 1.75/1.93 tff(15488,plain,
% 1.75/1.93 (until5(s47)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2615, 15487])).
% 1.75/1.93 tff(15489,plain,
% 1.75/1.93 (~node4(s47)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2619, 595, 15471])).
% 1.75/1.93 tff(15490,plain,
% 1.75/1.93 (xuntil6(s47) | (~until5(s47))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2626, 614, 15489])).
% 1.75/1.93 tff(15491,plain,
% 1.75/1.93 (xuntil6(s47)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15490, 15488])).
% 1.75/1.93 tff(15492,plain,
% 1.75/1.93 ($false),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2632, 15491, 15470])).
% 1.75/1.93 tff(15493,plain,(always3(s51) | xuntil6(s51) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.93 tff(15494,plain,
% 1.75/1.93 (always3(s51)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15493, 15453, 8100])).
% 1.75/1.93 tff(15495,plain,
% 1.75/1.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s51)) | (~m_main_v_state(s51, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s51)) | (~m_main_v_state(s51, c_busy)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15496,plain,
% 1.75/1.93 (((~m_main_v_state(s51, c_busy)) | (~always3(s51))) <=> ((~always3(s51)) | (~m_main_v_state(s51, c_busy)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15497,plain,
% 1.75/1.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s51, c_busy)) | (~always3(s51)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s51)) | (~m_main_v_state(s51, c_busy))))),
% 1.75/1.93 inference(monotonicity,[status(thm)],[15496])).
% 1.75/1.93 tff(15498,plain,
% 1.75/1.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s51, c_busy)) | (~always3(s51)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s51)) | (~m_main_v_state(s51, c_busy)))),
% 1.75/1.93 inference(transitivity,[status(thm)],[15497, 15495])).
% 1.75/1.93 tff(15499,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s51, c_busy)) | (~always3(s51)))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15500,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s51)) | (~m_main_v_state(s51, c_busy))),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15499, 15498])).
% 1.75/1.93 tff(15501,plain,
% 1.75/1.93 (~m_main_v_state(s51, c_busy)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15500, 3154, 15494])).
% 1.75/1.93 tff(15502,plain,
% 1.75/1.93 (always3(s52)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[1563, 15494])).
% 1.75/1.93 tff(15503,plain,
% 1.75/1.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s52)) | (~m_main_v_state(s52, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s52)) | (~m_main_v_state(s52, c_busy)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15504,plain,
% 1.75/1.93 (((~m_main_v_state(s52, c_busy)) | (~always3(s52))) <=> ((~always3(s52)) | (~m_main_v_state(s52, c_busy)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15505,plain,
% 1.75/1.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s52, c_busy)) | (~always3(s52)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s52)) | (~m_main_v_state(s52, c_busy))))),
% 1.75/1.93 inference(monotonicity,[status(thm)],[15504])).
% 1.75/1.93 tff(15506,plain,
% 1.75/1.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s52, c_busy)) | (~always3(s52)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s52)) | (~m_main_v_state(s52, c_busy)))),
% 1.75/1.93 inference(transitivity,[status(thm)],[15505, 15503])).
% 1.75/1.93 tff(15507,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s52, c_busy)) | (~always3(s52)))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15508,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s52)) | (~m_main_v_state(s52, c_busy))),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15507, 15506])).
% 1.75/1.93 tff(15509,plain,
% 1.75/1.93 (~m_main_v_state(s52, c_busy)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15508, 3154, 15502])).
% 1.75/1.93 tff(15510,plain,
% 1.75/1.93 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s51, c_busy) | m_main_v_state(s51, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s51, c_busy) | m_main_v_state(s51, c_ready))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15511,plain,
% 1.75/1.93 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s51, c_busy) | m_main_v_state(s51, c_ready))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15512,plain,
% 1.75/1.93 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s51, c_busy) | m_main_v_state(s51, c_ready)),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15511, 15510])).
% 1.75/1.93 tff(15513,plain,
% 1.75/1.93 (m_main_v_state(s51, c_ready)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15512, 19, 15501])).
% 1.75/1.93 tff(15514,plain,
% 1.75/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s51, s52)) | node2(s51, s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s51, s52)) | node2(s51, s52))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15515,plain,
% 1.75/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s51, s52)) | node2(s51, s52))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15516,plain,
% 1.75/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s51, s52)) | node2(s51, s52)),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15515, 15514])).
% 1.75/1.93 tff(15517,plain,
% 1.75/1.93 (node2(s51, s52)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15516, 7, 1559])).
% 1.75/1.93 tff(15518,plain,
% 1.75/1.93 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s51, c_ready)) | (~node2(s51, s52)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s51, c_ready)) | (~node2(s51, s52)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15519,plain,
% 1.75/1.93 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s51, c_ready)) | (~node2(s51, s52)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51)))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15520,plain,
% 1.75/1.93 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s51, c_ready)) | (~node2(s51, s52)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51))),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15519, 15518])).
% 1.75/1.93 tff(15521,plain,
% 1.75/1.93 ((~m_main_v_state(s51, c_ready)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15520, 3175, 15517])).
% 1.75/1.93 tff(15522,plain,
% 1.75/1.93 (~m_main_v_request(s51)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15521, 15513, 15509])).
% 1.75/1.93 tff(15523,plain,
% 1.75/1.93 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s51) | (~node4(s51)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s51) | (~node4(s51)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15524,plain,
% 1.75/1.93 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s51) | (~node4(s51)))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15525,plain,
% 1.75/1.93 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s51) | (~node4(s51))),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15524, 15523])).
% 1.75/1.93 tff(15526,plain,
% 1.75/1.93 (~node4(s51)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15525, 3141, 15522])).
% 1.75/1.93 tff(15527,plain,
% 1.75/1.93 (~until5(s51)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15457, 15526])).
% 1.75/1.93 tff(15528,plain,
% 1.75/1.93 (~xuntil6(s50)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2683, 15527])).
% 1.75/1.93 tff(15529,plain,
% 1.75/1.93 (~always3(s49)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[1587, 8327])).
% 1.75/1.93 tff(15530,plain,
% 1.75/1.93 (~always3(s48)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[1599, 15529])).
% 1.75/1.93 tff(15531,plain,
% 1.75/1.93 (~always3(s47)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[54, 15530])).
% 1.75/1.93 tff(15532,plain,
% 1.75/1.93 (~always3(s46)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[66, 15531])).
% 1.75/1.93 tff(15533,plain,
% 1.75/1.93 (~always3(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[78, 15532])).
% 1.75/1.93 tff(15534,plain,
% 1.75/1.93 (~node4(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2585, 595, 15533])).
% 1.75/1.93 tff(15535,plain,
% 1.75/1.93 (~always3(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[90, 15533])).
% 1.75/1.93 tff(15536,plain,
% 1.75/1.93 (~node4(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2568, 595, 15535])).
% 1.75/1.93 tff(15537,plain,
% 1.75/1.93 (~always3(s43)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[102, 15535])).
% 1.75/1.93 tff(15538,plain,
% 1.75/1.93 (xuntil6(s43)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[8147, 15537, 8122])).
% 1.75/1.93 tff(15539,plain,
% 1.75/1.93 (until5(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2564, 15538])).
% 1.75/1.93 tff(15540,plain,
% 1.75/1.93 (xuntil6(s44) | node4(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2575, 614, 15539])).
% 1.75/1.93 tff(15541,plain,
% 1.75/1.93 (xuntil6(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15540, 15536])).
% 1.75/1.93 tff(15542,plain,
% 1.75/1.93 (until5(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2581, 15541])).
% 1.75/1.93 tff(15543,plain,
% 1.75/1.93 (xuntil6(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2592, 614, 15542, 15534])).
% 1.75/1.93 tff(15544,plain,
% 1.75/1.93 (until5(s46)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2598, 15543])).
% 1.75/1.93 tff(15545,plain,
% 1.75/1.93 (~node4(s46)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2602, 595, 15532])).
% 1.75/1.93 tff(15546,plain,
% 1.75/1.93 (xuntil6(s46) | (~until5(s46))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2609, 614, 15545])).
% 1.75/1.93 tff(15547,plain,
% 1.75/1.93 (xuntil6(s46)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15546, 15544])).
% 1.75/1.93 tff(15548,plain,
% 1.75/1.93 (until5(s47)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2615, 15547])).
% 1.75/1.93 tff(15549,plain,
% 1.75/1.93 (~node4(s47)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2619, 595, 15531])).
% 1.75/1.93 tff(15550,plain,
% 1.75/1.93 (xuntil6(s47) | (~until5(s47))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2626, 614, 15549])).
% 1.75/1.93 tff(15551,plain,
% 1.75/1.93 (xuntil6(s47)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15550, 15548])).
% 1.75/1.93 tff(15552,plain,
% 1.75/1.93 (until5(s48)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2632, 15551])).
% 1.75/1.93 tff(15553,plain,
% 1.75/1.93 (~node4(s48)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2636, 595, 15530])).
% 1.75/1.93 tff(15554,plain,
% 1.75/1.93 (xuntil6(s48) | (~until5(s48))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2643, 614, 15553])).
% 1.75/1.93 tff(15555,plain,
% 1.75/1.93 (xuntil6(s48)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15554, 15552])).
% 1.75/1.93 tff(15556,plain,
% 1.75/1.93 (until5(s49)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2649, 15555])).
% 1.75/1.93 tff(15557,plain,
% 1.75/1.93 (~node4(s49)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2653, 595, 15529])).
% 1.75/1.93 tff(15558,plain,
% 1.75/1.93 (xuntil6(s49) | (~until5(s49))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2660, 614, 15557])).
% 1.75/1.93 tff(15559,plain,
% 1.75/1.93 (xuntil6(s49)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15558, 15556])).
% 1.75/1.93 tff(15560,plain,
% 1.75/1.93 (until5(s50)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2666, 15559])).
% 1.75/1.93 tff(15561,assumption,(~xuntil6(s50)), introduced(assumption)).
% 1.75/1.93 tff(15562,plain,
% 1.75/1.93 (node4(s50) | (~until5(s50))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2677, 614, 15561])).
% 1.75/1.93 tff(15563,plain,
% 1.75/1.93 (node4(s50)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15562, 15560])).
% 1.75/1.93 tff(15564,plain,
% 1.75/1.93 ($false),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2670, 595, 8327, 15563])).
% 1.75/1.93 tff(15565,plain,(always3(s50) | xuntil6(s50) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.93 tff(15566,plain,
% 1.75/1.93 (always3(s50)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15565, 15528, 8100])).
% 1.75/1.93 tff(15567,plain,
% 1.75/1.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s50)) | (~m_main_v_state(s50, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s50)) | (~m_main_v_state(s50, c_busy)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15568,plain,
% 1.75/1.93 (((~m_main_v_state(s50, c_busy)) | (~always3(s50))) <=> ((~always3(s50)) | (~m_main_v_state(s50, c_busy)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15569,plain,
% 1.75/1.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s50, c_busy)) | (~always3(s50)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s50)) | (~m_main_v_state(s50, c_busy))))),
% 1.75/1.93 inference(monotonicity,[status(thm)],[15568])).
% 1.75/1.93 tff(15570,plain,
% 1.75/1.93 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s50, c_busy)) | (~always3(s50)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s50)) | (~m_main_v_state(s50, c_busy)))),
% 1.75/1.93 inference(transitivity,[status(thm)],[15569, 15567])).
% 1.75/1.93 tff(15571,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s50, c_busy)) | (~always3(s50)))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15572,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s50)) | (~m_main_v_state(s50, c_busy))),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15571, 15570])).
% 1.75/1.93 tff(15573,plain,
% 1.75/1.93 (~m_main_v_state(s50, c_busy)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15572, 3154, 15566])).
% 1.75/1.93 tff(15574,plain,
% 1.75/1.93 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s50, c_busy) | m_main_v_state(s50, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s50, c_busy) | m_main_v_state(s50, c_ready))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15575,plain,
% 1.75/1.93 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s50, c_busy) | m_main_v_state(s50, c_ready))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15576,plain,
% 1.75/1.93 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s50, c_busy) | m_main_v_state(s50, c_ready)),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15575, 15574])).
% 1.75/1.93 tff(15577,plain,
% 1.75/1.93 (m_main_v_state(s50, c_ready)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15576, 19, 15573])).
% 1.75/1.93 tff(15578,assumption,(~m_main_v_state(s50, c_busy)), introduced(assumption)).
% 1.75/1.93 tff(15579,assumption,(node4(s49)), introduced(assumption)).
% 1.75/1.93 tff(15580,plain,
% 1.75/1.93 (((~![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)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15581,plain,
% 1.75/1.93 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s49) | (~node4(s49)))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15582,plain,
% 1.75/1.93 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s49) | (~node4(s49))),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15581, 15580])).
% 1.75/1.93 tff(15583,plain,
% 1.75/1.93 (m_main_v_request(s49)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15582, 3141, 15579])).
% 1.75/1.93 tff(15584,plain,
% 1.75/1.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s50)) | node2(s49, s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s50)) | node2(s49, s50))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15585,plain,
% 1.75/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s50)) | node2(s49, s50))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15586,plain,
% 1.75/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s50)) | node2(s49, s50)),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15585, 15584])).
% 1.75/1.93 tff(15587,plain,
% 1.75/1.93 (node2(s49, s50)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15586, 7, 1583])).
% 1.75/1.93 tff(15588,plain,
% 1.75/1.93 (((~![Y: $i, X: $i] : ((~m_main_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, s50)) | m_main_v_state(s50, 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_ready)) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15589,plain,
% 1.75/1.93 ((~![Y: $i, X: $i] : ((~m_main_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, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49)))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15590,plain,
% 1.75/1.93 ((~![Y: $i, X: $i] : ((~m_main_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, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49))),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15589, 15588])).
% 1.75/1.93 tff(15591,plain,
% 1.75/1.93 ((~m_main_v_state(s49, c_ready)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15590, 3175, 15587])).
% 1.75/1.93 tff(15592,plain,
% 1.75/1.93 (~m_main_v_state(s49, c_ready)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15591, 15583, 15578])).
% 1.75/1.93 tff(15593,plain,
% 1.75/1.93 (always3(s49)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2653, 595, 15579])).
% 1.75/1.93 tff(15594,plain,
% 1.75/1.93 (((~![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)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15595,plain,
% 1.75/1.93 (((~m_main_v_state(s49, c_busy)) | (~always3(s49))) <=> ((~always3(s49)) | (~m_main_v_state(s49, c_busy)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15596,plain,
% 1.75/1.93 (((~![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))))),
% 1.75/1.93 inference(monotonicity,[status(thm)],[15595])).
% 1.75/1.93 tff(15597,plain,
% 1.75/1.93 (((~![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)))),
% 1.75/1.93 inference(transitivity,[status(thm)],[15596, 15594])).
% 1.75/1.93 tff(15598,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s49, c_busy)) | (~always3(s49)))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15599,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s49)) | (~m_main_v_state(s49, c_busy))),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15598, 15597])).
% 1.75/1.93 tff(15600,plain,
% 1.75/1.93 (~m_main_v_state(s49, c_busy)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15599, 3154, 15593])).
% 1.75/1.93 tff(15601,plain,
% 1.75/1.93 (((~![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))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15602,plain,
% 1.75/1.93 ((~![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))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15603,plain,
% 1.75/1.93 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s49, c_busy) | m_main_v_state(s49, c_ready)),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15602, 15601])).
% 1.75/1.93 tff(15604,plain,
% 1.75/1.93 ($false),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15603, 19, 15600, 15592])).
% 1.75/1.93 tff(15605,plain,((~node4(s49)) | m_main_v_state(s50, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.93 tff(15606,plain,
% 1.75/1.93 (~node4(s49)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15605, 15573])).
% 1.75/1.93 tff(15607,assumption,(~xuntil6(s48)), introduced(assumption)).
% 1.75/1.93 tff(15608,plain,
% 1.75/1.93 (~node4(s47)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2619, 595, 55])).
% 1.75/1.93 tff(15609,plain,
% 1.75/1.93 (~node4(s48)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2636, 595, 26])).
% 1.75/1.93 tff(15610,plain,
% 1.75/1.93 (node4(s48) | (~until5(s48))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2643, 614, 15607])).
% 1.75/1.93 tff(15611,plain,
% 1.75/1.93 (~until5(s48)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15610, 15609])).
% 1.75/1.93 tff(15612,plain,
% 1.75/1.93 (~xuntil6(s47)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2632, 15611])).
% 1.75/1.93 tff(15613,plain,
% 1.75/1.93 (~until5(s47)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2626, 614, 15612, 15608])).
% 1.75/1.93 tff(15614,plain,
% 1.75/1.93 (~xuntil6(s46)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2615, 15613])).
% 1.75/1.93 tff(15615,plain,
% 1.75/1.93 (~node4(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2585, 595, 79])).
% 1.75/1.93 tff(15616,plain,
% 1.75/1.93 (~node4(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2568, 595, 91])).
% 1.75/1.93 tff(15617,plain,
% 1.75/1.93 (xuntil6(s43)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[8147, 103, 8122])).
% 1.75/1.93 tff(15618,plain,
% 1.75/1.93 (until5(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2564, 15617])).
% 1.75/1.93 tff(15619,plain,
% 1.75/1.93 (xuntil6(s44) | node4(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2575, 614, 15618])).
% 1.75/1.93 tff(15620,plain,
% 1.75/1.93 (xuntil6(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15619, 15616])).
% 1.75/1.93 tff(15621,plain,
% 1.75/1.93 (until5(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2581, 15620])).
% 1.75/1.93 tff(15622,plain,
% 1.75/1.93 (xuntil6(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2592, 614, 15621, 15615])).
% 1.75/1.93 tff(15623,plain,
% 1.75/1.93 (until5(s46)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2598, 15622])).
% 1.75/1.93 tff(15624,plain,
% 1.75/1.93 (~node4(s46)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2602, 595, 67])).
% 1.75/1.93 tff(15625,plain,
% 1.75/1.93 (xuntil6(s46) | (~until5(s46))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2609, 614, 15624])).
% 1.75/1.93 tff(15626,plain,
% 1.75/1.93 ($false),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15625, 15623, 15614])).
% 1.75/1.93 tff(15627,plain,(always3(s48) | xuntil6(s48) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.93 tff(15628,plain,
% 1.75/1.93 (always3(s48)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15627, 15607, 8100])).
% 1.75/1.93 tff(15629,plain,
% 1.75/1.93 (always3(s49)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[1599, 15628])).
% 1.75/1.93 tff(15630,plain,
% 1.75/1.93 (~m_main_v_state(s49, c_busy)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15599, 3154, 15629])).
% 1.75/1.93 tff(15631,plain,
% 1.75/1.93 (((~![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)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15632,plain,
% 1.75/1.93 (((~m_main_v_state(s48, c_busy)) | (~always3(s48))) <=> ((~always3(s48)) | (~m_main_v_state(s48, c_busy)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15633,plain,
% 1.75/1.93 (((~![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))))),
% 1.75/1.93 inference(monotonicity,[status(thm)],[15632])).
% 1.75/1.93 tff(15634,plain,
% 1.75/1.93 (((~![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)))),
% 1.75/1.93 inference(transitivity,[status(thm)],[15633, 15631])).
% 1.75/1.93 tff(15635,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s48, c_busy)) | (~always3(s48)))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15636,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s48)) | (~m_main_v_state(s48, c_busy))),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15635, 15634])).
% 1.75/1.93 tff(15637,plain,
% 1.75/1.93 (~m_main_v_state(s48, c_busy)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15636, 3154, 15628])).
% 1.75/1.93 tff(15638,plain,
% 1.75/1.93 (((~![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))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15639,plain,
% 1.75/1.93 ((~![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))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15640,plain,
% 1.75/1.93 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s48, c_busy) | m_main_v_state(s48, c_ready)),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15639, 15638])).
% 1.75/1.93 tff(15641,plain,
% 1.75/1.93 (m_main_v_state(s48, c_ready)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15640, 19, 15637])).
% 1.75/1.93 tff(15642,assumption,(~xuntil6(s45)), introduced(assumption)).
% 1.75/1.93 tff(15643,plain,
% 1.75/1.93 (~node4(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2585, 595, 6231])).
% 1.75/1.93 tff(15644,plain,
% 1.75/1.93 (node4(s45) | (~until5(s45))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2592, 614, 15642])).
% 1.75/1.93 tff(15645,plain,
% 1.75/1.93 (~until5(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15644, 15643])).
% 1.75/1.93 tff(15646,plain,
% 1.75/1.93 (~always3(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[90, 6231])).
% 1.75/1.93 tff(15647,plain,
% 1.75/1.93 (~node4(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2568, 595, 15646])).
% 1.75/1.93 tff(15648,plain,
% 1.75/1.93 (~always3(s43)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[102, 15646])).
% 1.75/1.93 tff(15649,plain,
% 1.75/1.93 (xuntil6(s43)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[8147, 15648, 8122])).
% 1.75/1.93 tff(15650,plain,
% 1.75/1.93 (until5(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2564, 15649])).
% 1.75/1.93 tff(15651,plain,
% 1.75/1.93 (xuntil6(s44) | node4(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2575, 614, 15650])).
% 1.75/1.93 tff(15652,plain,
% 1.75/1.93 (xuntil6(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15651, 15647])).
% 1.75/1.93 tff(15653,plain,
% 1.75/1.93 ($false),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2581, 15652, 15645])).
% 1.75/1.93 tff(15654,plain,(always3(s45) | xuntil6(s45) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.93 tff(15655,plain,
% 1.75/1.93 (always3(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15654, 15642, 8100])).
% 1.75/1.93 tff(15656,plain,
% 1.75/1.93 (always3(s46)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[78, 15655])).
% 1.75/1.93 tff(15657,plain,
% 1.75/1.93 (((~![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)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15658,plain,
% 1.75/1.93 (((~m_main_v_state(s46, c_busy)) | (~always3(s46))) <=> ((~always3(s46)) | (~m_main_v_state(s46, c_busy)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15659,plain,
% 1.75/1.93 (((~![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))))),
% 1.75/1.93 inference(monotonicity,[status(thm)],[15658])).
% 1.75/1.93 tff(15660,plain,
% 1.75/1.93 (((~![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)))),
% 1.75/1.93 inference(transitivity,[status(thm)],[15659, 15657])).
% 1.75/1.93 tff(15661,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s46, c_busy)) | (~always3(s46)))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15662,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s46)) | (~m_main_v_state(s46, c_busy))),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15661, 15660])).
% 1.75/1.93 tff(15663,plain,
% 1.75/1.93 (~m_main_v_state(s46, c_busy)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15662, 3154, 15656])).
% 1.75/1.93 tff(15664,plain,
% 1.75/1.93 (((~![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)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15665,plain,
% 1.75/1.93 (((~m_main_v_state(s45, c_busy)) | (~always3(s45))) <=> ((~always3(s45)) | (~m_main_v_state(s45, c_busy)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15666,plain,
% 1.75/1.93 (((~![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))))),
% 1.75/1.93 inference(monotonicity,[status(thm)],[15665])).
% 1.75/1.93 tff(15667,plain,
% 1.75/1.93 (((~![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)))),
% 1.75/1.93 inference(transitivity,[status(thm)],[15666, 15664])).
% 1.75/1.93 tff(15668,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s45, c_busy)) | (~always3(s45)))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15669,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s45)) | (~m_main_v_state(s45, c_busy))),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15668, 15667])).
% 1.75/1.93 tff(15670,plain,
% 1.75/1.93 (~m_main_v_state(s45, c_busy)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15669, 3154, 15655])).
% 1.75/1.93 tff(15671,plain,
% 1.75/1.93 (((~![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))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15672,plain,
% 1.75/1.93 ((~![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))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15673,plain,
% 1.75/1.93 ((~![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)),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15672, 15671])).
% 1.75/1.93 tff(15674,plain,
% 1.75/1.93 (m_main_v_state(s45, c_ready)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15673, 19, 15670])).
% 1.75/1.93 tff(15675,plain,
% 1.75/1.93 (((~![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))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15676,plain,
% 1.75/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s45, s46)) | node2(s45, s46))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15677,plain,
% 1.75/1.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s45, s46)) | node2(s45, s46)),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15676, 15675])).
% 1.75/1.93 tff(15678,plain,
% 1.75/1.93 (node2(s45, s46)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15677, 7, 74])).
% 1.75/1.93 tff(15679,plain,
% 1.75/1.93 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15680,plain,
% 1.75/1.93 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15681,plain,
% 1.75/1.93 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15680, 15679])).
% 1.75/1.93 tff(15682,plain,
% 1.75/1.93 ((~m_main_v_state(s45, c_ready)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15681, 3175, 15678])).
% 1.75/1.93 tff(15683,plain,
% 1.75/1.93 (~m_main_v_request(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15682, 15674, 15663])).
% 1.75/1.93 tff(15684,plain,
% 1.75/1.93 (((~![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)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15685,plain,
% 1.75/1.93 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s45) | (~node4(s45)))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15686,plain,
% 1.75/1.93 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s45) | (~node4(s45))),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15685, 15684])).
% 1.75/1.93 tff(15687,plain,
% 1.75/1.93 (~node4(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15686, 3141, 15683])).
% 1.75/1.93 tff(15688,plain,
% 1.75/1.93 (~until5(s45)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15644, 15687])).
% 1.75/1.93 tff(15689,plain,
% 1.75/1.93 (~xuntil6(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2581, 15688])).
% 1.75/1.93 tff(15690,plain,
% 1.75/1.93 (~always3(s43)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[102, 5988])).
% 1.75/1.93 tff(15691,plain,
% 1.75/1.93 (xuntil6(s43)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[8147, 15690, 8122])).
% 1.75/1.93 tff(15692,plain,
% 1.75/1.93 (until5(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2564, 15691])).
% 1.75/1.93 tff(15693,assumption,(~xuntil6(s44)), introduced(assumption)).
% 1.75/1.93 tff(15694,plain,
% 1.75/1.93 (node4(s44) | (~until5(s44))),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2575, 614, 15693])).
% 1.75/1.93 tff(15695,plain,
% 1.75/1.93 (node4(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15694, 15692])).
% 1.75/1.93 tff(15696,plain,
% 1.75/1.93 ($false),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[2568, 595, 5988, 15695])).
% 1.75/1.93 tff(15697,plain,(always3(s44) | xuntil6(s44) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.93 tff(15698,plain,
% 1.75/1.93 (always3(s44)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15697, 15689, 8100])).
% 1.75/1.93 tff(15699,plain,
% 1.75/1.93 (((~![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)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15700,plain,
% 1.75/1.93 (((~m_main_v_state(s44, c_busy)) | (~always3(s44))) <=> ((~always3(s44)) | (~m_main_v_state(s44, c_busy)))),
% 1.75/1.93 inference(rewrite,[status(thm)],[])).
% 1.75/1.93 tff(15701,plain,
% 1.75/1.93 (((~![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))))),
% 1.75/1.93 inference(monotonicity,[status(thm)],[15700])).
% 1.75/1.93 tff(15702,plain,
% 1.75/1.93 (((~![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)))),
% 1.75/1.93 inference(transitivity,[status(thm)],[15701, 15699])).
% 1.75/1.93 tff(15703,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s44, c_busy)) | (~always3(s44)))),
% 1.75/1.93 inference(quant_inst,[status(thm)],[])).
% 1.75/1.93 tff(15704,plain,
% 1.75/1.93 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s44)) | (~m_main_v_state(s44, c_busy))),
% 1.75/1.93 inference(modus_ponens,[status(thm)],[15703, 15702])).
% 1.75/1.93 tff(15705,plain,
% 1.75/1.93 (~m_main_v_state(s44, c_busy)),
% 1.75/1.93 inference(unit_resolution,[status(thm)],[15704, 3154, 15698])).
% 1.75/1.94 tff(15706,plain,
% 1.75/1.94 (((~![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))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15707,plain,
% 1.75/1.94 ((~![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))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15708,plain,
% 1.75/1.94 ((~![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)),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15707, 15706])).
% 1.75/1.94 tff(15709,plain,
% 1.75/1.94 (m_main_v_state(s44, c_ready)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15708, 19, 15705])).
% 1.75/1.94 tff(15710,plain,
% 1.75/1.94 (((~![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))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15711,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s44, s45)) | node2(s44, s45))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15712,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s44, s45)) | node2(s44, s45)),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15711, 15710])).
% 1.75/1.94 tff(15713,plain,
% 1.75/1.94 (node2(s44, s45)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15712, 7, 86])).
% 1.75/1.94 tff(15714,plain,
% 1.75/1.94 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15715,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15716,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15715, 15714])).
% 1.75/1.94 tff(15717,plain,
% 1.75/1.94 ((~m_main_v_state(s44, c_ready)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44))),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15716, 3175, 15713])).
% 1.75/1.94 tff(15718,plain,
% 1.75/1.94 (~m_main_v_request(s44)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15717, 15709, 15670])).
% 1.75/1.94 tff(15719,plain,
% 1.75/1.94 (((~![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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15720,plain,
% 1.75/1.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s44) | (~node4(s44)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15721,plain,
% 1.75/1.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s44) | (~node4(s44))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15720, 15719])).
% 1.75/1.94 tff(15722,plain,
% 1.75/1.94 (~node4(s44)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15721, 3141, 15718])).
% 1.75/1.94 tff(15723,plain,
% 1.75/1.94 (node4(s44) | (~until5(s44))),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2575, 614, 15689])).
% 1.75/1.94 tff(15724,plain,
% 1.75/1.94 (~until5(s44)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15723, 15722])).
% 1.75/1.94 tff(15725,plain,
% 1.75/1.94 (~xuntil6(s43)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2564, 15724])).
% 1.75/1.94 tff(15726,plain,
% 1.75/1.94 (always3(s43)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[8147, 15725, 8100])).
% 1.75/1.94 tff(15727,plain,
% 1.75/1.94 (((~![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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15728,plain,
% 1.75/1.94 (((~m_main_v_state(s43, c_busy)) | (~always3(s43))) <=> ((~always3(s43)) | (~m_main_v_state(s43, c_busy)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15729,plain,
% 1.75/1.94 (((~![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))))),
% 1.75/1.94 inference(monotonicity,[status(thm)],[15728])).
% 1.75/1.94 tff(15730,plain,
% 1.75/1.94 (((~![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)))),
% 1.75/1.94 inference(transitivity,[status(thm)],[15729, 15727])).
% 1.75/1.94 tff(15731,plain,
% 1.75/1.94 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s43, c_busy)) | (~always3(s43)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15732,plain,
% 1.75/1.94 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s43)) | (~m_main_v_state(s43, c_busy))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15731, 15730])).
% 1.75/1.94 tff(15733,plain,
% 1.75/1.94 (~m_main_v_state(s43, c_busy)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15732, 3154, 15726])).
% 1.75/1.94 tff(15734,plain,
% 1.75/1.94 (((~![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))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15735,plain,
% 1.75/1.94 ((~![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))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15736,plain,
% 1.75/1.94 ((~![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)),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15735, 15734])).
% 1.75/1.94 tff(15737,plain,
% 1.75/1.94 (m_main_v_state(s43, c_ready)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15736, 19, 15733])).
% 1.75/1.94 tff(15738,assumption,(~m_main_v_state(s43, c_busy)), introduced(assumption)).
% 1.75/1.94 tff(15739,assumption,(node4(s42)), introduced(assumption)).
% 1.75/1.94 tff(15740,plain,
% 1.75/1.94 (((~![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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15741,plain,
% 1.75/1.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s42) | (~node4(s42)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15742,plain,
% 1.75/1.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s42) | (~node4(s42))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15741, 15740])).
% 1.75/1.94 tff(15743,plain,
% 1.75/1.94 (m_main_v_request(s42)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15742, 3141, 15739])).
% 1.75/1.94 tff(15744,plain,
% 1.75/1.94 (((~![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))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15745,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s42, s43)) | node2(s42, s43))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15746,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s42, s43)) | node2(s42, s43)),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15745, 15744])).
% 1.75/1.94 tff(15747,plain,
% 1.75/1.94 (node2(s42, s43)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15746, 7, 110])).
% 1.75/1.94 tff(15748,plain,
% 1.75/1.94 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15749,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15750,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15749, 15748])).
% 1.75/1.94 tff(15751,plain,
% 1.75/1.94 ((~m_main_v_state(s42, c_ready)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42))),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15750, 3175, 15747])).
% 1.75/1.94 tff(15752,plain,
% 1.75/1.94 (~m_main_v_state(s42, c_ready)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15751, 15743, 15738])).
% 1.75/1.94 tff(15753,plain,
% 1.75/1.94 (always3(s42)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2534, 595, 15739])).
% 1.75/1.94 tff(15754,plain,
% 1.75/1.94 (((~![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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15755,plain,
% 1.75/1.94 (((~m_main_v_state(s42, c_busy)) | (~always3(s42))) <=> ((~always3(s42)) | (~m_main_v_state(s42, c_busy)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15756,plain,
% 1.75/1.94 (((~![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))))),
% 1.75/1.94 inference(monotonicity,[status(thm)],[15755])).
% 1.75/1.94 tff(15757,plain,
% 1.75/1.94 (((~![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)))),
% 1.75/1.94 inference(transitivity,[status(thm)],[15756, 15754])).
% 1.75/1.94 tff(15758,plain,
% 1.75/1.94 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s42, c_busy)) | (~always3(s42)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15759,plain,
% 1.75/1.94 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s42)) | (~m_main_v_state(s42, c_busy))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15758, 15757])).
% 1.75/1.94 tff(15760,plain,
% 1.75/1.94 (~m_main_v_state(s42, c_busy)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15759, 3154, 15753])).
% 1.75/1.94 tff(15761,plain,
% 1.75/1.94 (((~![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))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15762,plain,
% 1.75/1.94 ((~![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))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15763,plain,
% 1.75/1.94 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s42, c_busy) | m_main_v_state(s42, c_ready)),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15762, 15761])).
% 1.75/1.94 tff(15764,plain,
% 1.75/1.94 ($false),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15763, 19, 15760, 15752])).
% 1.75/1.94 tff(15765,plain,((~node4(s42)) | m_main_v_state(s43, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.94 tff(15766,plain,
% 1.75/1.94 (~node4(s42)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15765, 15733])).
% 1.75/1.94 tff(15767,assumption,(~xuntil6(s41)), introduced(assumption)).
% 1.75/1.94 tff(15768,plain,
% 1.75/1.94 (~always3(s40)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[138, 5966])).
% 1.75/1.94 tff(15769,plain,
% 1.75/1.94 (~node4(s40)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2500, 595, 15768])).
% 1.75/1.94 tff(15770,plain,
% 1.75/1.94 (~node4(s41)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2517, 595, 5966])).
% 1.75/1.94 tff(15771,plain,
% 1.75/1.94 (node4(s41) | (~until5(s41))),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2524, 614, 15767])).
% 1.75/1.94 tff(15772,plain,
% 1.75/1.94 (~until5(s41)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15771, 15770])).
% 1.75/1.94 tff(15773,plain,
% 1.75/1.94 (~xuntil6(s40)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2513, 15772])).
% 1.75/1.94 tff(15774,plain,
% 1.75/1.94 (~always3(s39)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[150, 15768])).
% 1.75/1.94 tff(15775,plain,
% 1.75/1.94 (~node4(s39)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2483, 595, 15774])).
% 1.75/1.94 tff(15776,plain,
% 1.75/1.94 (xuntil6(s39)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[8130, 15775])).
% 1.75/1.94 tff(15777,plain,
% 1.75/1.94 (until5(s40)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2496, 15776])).
% 1.75/1.94 tff(15778,plain,
% 1.75/1.94 ($false),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2507, 614, 15777, 15773, 15769])).
% 1.75/1.94 tff(15779,plain,(always3(s41) | (~until5(s39)) | xuntil6(s41)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.94 tff(15780,plain,
% 1.75/1.94 (always3(s41)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15779, 15767, 8122])).
% 1.75/1.94 tff(15781,plain,
% 1.75/1.94 (always3(s42)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[126, 15780])).
% 1.75/1.94 tff(15782,plain,
% 1.75/1.94 (~m_main_v_state(s42, c_busy)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15759, 3154, 15781])).
% 1.75/1.94 tff(15783,plain,
% 1.75/1.94 (((~![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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15784,plain,
% 1.75/1.94 (((~m_main_v_state(s41, c_busy)) | (~always3(s41))) <=> ((~always3(s41)) | (~m_main_v_state(s41, c_busy)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15785,plain,
% 1.75/1.94 (((~![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))))),
% 1.75/1.94 inference(monotonicity,[status(thm)],[15784])).
% 1.75/1.94 tff(15786,plain,
% 1.75/1.94 (((~![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)))),
% 1.75/1.94 inference(transitivity,[status(thm)],[15785, 15783])).
% 1.75/1.94 tff(15787,plain,
% 1.75/1.94 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s41, c_busy)) | (~always3(s41)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15788,plain,
% 1.75/1.94 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s41)) | (~m_main_v_state(s41, c_busy))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15787, 15786])).
% 1.75/1.94 tff(15789,plain,
% 1.75/1.94 (~m_main_v_state(s41, c_busy)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15788, 3154, 15780])).
% 1.75/1.94 tff(15790,plain,
% 1.75/1.94 (((~![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))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15791,plain,
% 1.75/1.94 ((~![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))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15792,plain,
% 1.75/1.94 ((~![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)),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15791, 15790])).
% 1.75/1.94 tff(15793,plain,
% 1.75/1.94 (m_main_v_state(s41, c_ready)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15792, 19, 15789])).
% 1.75/1.94 tff(15794,assumption,(~m_main_v_state(s41, c_busy)), introduced(assumption)).
% 1.75/1.94 tff(15795,assumption,(node4(s40)), introduced(assumption)).
% 1.75/1.94 tff(15796,plain,
% 1.75/1.94 (((~![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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15797,plain,
% 1.75/1.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s40) | (~node4(s40)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15798,plain,
% 1.75/1.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s40) | (~node4(s40))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15797, 15796])).
% 1.75/1.94 tff(15799,plain,
% 1.75/1.94 (m_main_v_request(s40)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15798, 3141, 15795])).
% 1.75/1.94 tff(15800,plain,
% 1.75/1.94 (((~![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))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15801,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s40, s41)) | node2(s40, s41))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15802,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s40, s41)) | node2(s40, s41)),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15801, 15800])).
% 1.75/1.94 tff(15803,plain,
% 1.75/1.94 (node2(s40, s41)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15802, 7, 134])).
% 1.75/1.94 tff(15804,plain,
% 1.75/1.94 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15805,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15806,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15805, 15804])).
% 1.75/1.94 tff(15807,plain,
% 1.75/1.94 ((~m_main_v_state(s40, c_ready)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40))),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15806, 3175, 15803])).
% 1.75/1.94 tff(15808,plain,
% 1.75/1.94 (~m_main_v_state(s40, c_ready)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15807, 15799, 15794])).
% 1.75/1.94 tff(15809,plain,
% 1.75/1.94 (always3(s40)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2500, 595, 15795])).
% 1.75/1.94 tff(15810,plain,
% 1.75/1.94 (((~![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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15811,plain,
% 1.75/1.94 (((~m_main_v_state(s40, c_busy)) | (~always3(s40))) <=> ((~always3(s40)) | (~m_main_v_state(s40, c_busy)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15812,plain,
% 1.75/1.94 (((~![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))))),
% 1.75/1.94 inference(monotonicity,[status(thm)],[15811])).
% 1.75/1.94 tff(15813,plain,
% 1.75/1.94 (((~![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)))),
% 1.75/1.94 inference(transitivity,[status(thm)],[15812, 15810])).
% 1.75/1.94 tff(15814,plain,
% 1.75/1.94 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s40, c_busy)) | (~always3(s40)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15815,plain,
% 1.75/1.94 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s40)) | (~m_main_v_state(s40, c_busy))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15814, 15813])).
% 1.75/1.94 tff(15816,plain,
% 1.75/1.94 (~m_main_v_state(s40, c_busy)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15815, 3154, 15809])).
% 1.75/1.94 tff(15817,plain,
% 1.75/1.94 (((~![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))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15818,plain,
% 1.75/1.94 ((~![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))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15819,plain,
% 1.75/1.94 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s40, c_busy) | m_main_v_state(s40, c_ready)),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15818, 15817])).
% 1.75/1.94 tff(15820,plain,
% 1.75/1.94 ($false),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15819, 19, 15816, 15808])).
% 1.75/1.94 tff(15821,plain,((~node4(s40)) | m_main_v_state(s41, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.94 tff(15822,plain,
% 1.75/1.94 (~node4(s40)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15821, 15789])).
% 1.75/1.94 tff(15823,assumption,(node4(s39)), introduced(assumption)).
% 1.75/1.94 tff(15824,plain,
% 1.75/1.94 (((~![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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15825,plain,
% 1.75/1.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s39) | (~node4(s39)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15826,plain,
% 1.75/1.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s39) | (~node4(s39))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15825, 15824])).
% 1.75/1.94 tff(15827,plain,
% 1.75/1.94 (m_main_v_request(s39)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15826, 3141, 15823])).
% 1.75/1.94 tff(15828,plain,
% 1.75/1.94 (always3(s39)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2483, 595, 15823])).
% 1.75/1.94 tff(15829,plain,
% 1.75/1.94 (always3(s40)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[150, 15828])).
% 1.75/1.94 tff(15830,plain,
% 1.75/1.94 (~m_main_v_state(s40, c_busy)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15815, 3154, 15829])).
% 1.75/1.94 tff(15831,plain,
% 1.75/1.94 (((~![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))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15832,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s39, s40)) | node2(s39, s40))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15833,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s39, s40)) | node2(s39, s40)),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15832, 15831])).
% 1.75/1.94 tff(15834,plain,
% 1.75/1.94 (node2(s39, s40)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15833, 7, 146])).
% 1.75/1.94 tff(15835,plain,
% 1.75/1.94 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15836,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15837,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15836, 15835])).
% 1.75/1.94 tff(15838,plain,
% 1.75/1.94 ((~m_main_v_state(s39, c_ready)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39))),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15837, 3175, 15834])).
% 1.75/1.94 tff(15839,plain,
% 1.75/1.94 (~m_main_v_state(s39, c_ready)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15838, 15830, 15827])).
% 1.75/1.94 tff(15840,plain,
% 1.75/1.94 (~m_main_v_state(s39, c_busy)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[8075, 3154, 15828])).
% 1.75/1.94 tff(15841,plain,
% 1.75/1.94 (((~![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))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15842,plain,
% 1.75/1.94 ((~![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))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15843,plain,
% 1.75/1.94 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s39, c_busy) | m_main_v_state(s39, c_ready)),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15842, 15841])).
% 1.75/1.94 tff(15844,plain,
% 1.75/1.94 ($false),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15843, 19, 15840, 15839])).
% 1.75/1.94 tff(15845,plain,(~node4(s39)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.94 tff(15846,plain,
% 1.75/1.94 (xuntil6(s39) | (~until5(s39))),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2490, 614, 15845])).
% 1.75/1.94 tff(15847,plain,
% 1.75/1.94 (xuntil6(s39)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15846, 8122])).
% 1.75/1.94 tff(15848,plain,
% 1.75/1.94 (until5(s40)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2496, 15847])).
% 1.75/1.94 tff(15849,plain,
% 1.75/1.94 (xuntil6(s40) | node4(s40)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2507, 614, 15848])).
% 1.75/1.94 tff(15850,plain,
% 1.75/1.94 (xuntil6(s40)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15849, 15822])).
% 1.75/1.94 tff(15851,plain,
% 1.75/1.94 (until5(s41)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2513, 15850])).
% 1.75/1.94 tff(15852,plain,
% 1.75/1.94 (node4(s41)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15771, 15851])).
% 1.75/1.94 tff(15853,plain,
% 1.75/1.94 (((~![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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15854,plain,
% 1.75/1.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s41) | (~node4(s41)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15855,plain,
% 1.75/1.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s41) | (~node4(s41))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15854, 15853])).
% 1.75/1.94 tff(15856,plain,
% 1.75/1.94 (m_main_v_request(s41)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15855, 3141, 15852])).
% 1.75/1.94 tff(15857,plain,
% 1.75/1.94 (((~![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))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15858,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s41, s42)) | node2(s41, s42))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15859,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s41, s42)) | node2(s41, s42)),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15858, 15857])).
% 1.75/1.94 tff(15860,plain,
% 1.75/1.94 (node2(s41, s42)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15859, 7, 122])).
% 1.75/1.94 tff(15861,plain,
% 1.75/1.94 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15862,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15863,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s41, c_ready)) | (~node2(s41, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15862, 15861])).
% 1.75/1.94 tff(15864,plain,
% 1.75/1.94 ((~m_main_v_state(s41, c_ready)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41))),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15863, 3175, 15860])).
% 1.75/1.94 tff(15865,plain,
% 1.75/1.94 ($false),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15864, 15856, 15793, 15782])).
% 1.75/1.94 tff(15866,plain,(xuntil6(s41) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.94 tff(15867,plain,
% 1.75/1.94 (xuntil6(s41)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15866, 8100])).
% 1.75/1.94 tff(15868,plain,
% 1.75/1.94 (until5(s42)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2530, 15867])).
% 1.75/1.94 tff(15869,plain,
% 1.75/1.94 (xuntil6(s42) | node4(s42)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2541, 614, 15868])).
% 1.75/1.94 tff(15870,plain,
% 1.75/1.94 (xuntil6(s42)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15869, 15766])).
% 1.75/1.94 tff(15871,plain,
% 1.75/1.94 (until5(s43)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2547, 15870])).
% 1.75/1.94 tff(15872,plain,
% 1.75/1.94 (node4(s43) | (~until5(s43))),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2558, 614, 15725])).
% 1.75/1.94 tff(15873,plain,
% 1.75/1.94 (node4(s43)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15872, 15871])).
% 1.75/1.94 tff(15874,plain,
% 1.75/1.94 (((~![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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15875,plain,
% 1.75/1.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s43) | (~node4(s43)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15876,plain,
% 1.75/1.94 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s43) | (~node4(s43))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15875, 15874])).
% 1.75/1.94 tff(15877,plain,
% 1.75/1.94 (m_main_v_request(s43)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15876, 3141, 15873])).
% 1.75/1.94 tff(15878,plain,
% 1.75/1.94 (((~![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))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15879,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s43, s44)) | node2(s43, s44))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15880,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s43, s44)) | node2(s43, s44)),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15879, 15878])).
% 1.75/1.94 tff(15881,plain,
% 1.75/1.94 (node2(s43, s44)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15880, 7, 98])).
% 1.75/1.94 tff(15882,plain,
% 1.75/1.94 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15883,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15884,plain,
% 1.75/1.94 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s43, c_ready)) | (~node2(s43, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15883, 15882])).
% 1.75/1.94 tff(15885,plain,
% 1.75/1.94 ((~m_main_v_state(s43, c_ready)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43))),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15884, 3175, 15881])).
% 1.75/1.94 tff(15886,plain,
% 1.75/1.94 ($false),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15885, 15877, 15737, 15705])).
% 1.75/1.94 tff(15887,plain,(xuntil6(s45)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.94 tff(15888,plain,
% 1.75/1.94 (until5(s46)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2598, 15887])).
% 1.75/1.94 tff(15889,assumption,(~xuntil6(s47)), introduced(assumption)).
% 1.75/1.94 tff(15890,assumption,(until5(s46)), introduced(assumption)).
% 1.75/1.94 tff(15891,plain,
% 1.75/1.94 (~always3(s46)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[66, 6078])).
% 1.75/1.94 tff(15892,plain,
% 1.75/1.94 (~node4(s46)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2602, 595, 15891])).
% 1.75/1.94 tff(15893,plain,
% 1.75/1.94 (xuntil6(s46) | node4(s46)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2609, 614, 15890])).
% 1.75/1.94 tff(15894,plain,
% 1.75/1.94 (xuntil6(s46)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15893, 15892])).
% 1.75/1.94 tff(15895,plain,
% 1.75/1.94 (until5(s47)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2615, 15894])).
% 1.75/1.94 tff(15896,plain,
% 1.75/1.94 (node4(s47) | (~until5(s47))),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2626, 614, 15889])).
% 1.75/1.94 tff(15897,plain,
% 1.75/1.94 (node4(s47)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15896, 15895])).
% 1.75/1.94 tff(15898,plain,
% 1.75/1.94 ($false),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[2619, 595, 6078, 15897])).
% 1.75/1.94 tff(15899,plain,(always3(s47) | xuntil6(s47) | (~until5(s46))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.94 tff(15900,plain,
% 1.75/1.94 (always3(s47)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15899, 15890, 15889])).
% 1.75/1.94 tff(15901,plain,
% 1.75/1.94 (((~![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)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15902,plain,
% 1.75/1.94 (((~m_main_v_state(s47, c_busy)) | (~always3(s47))) <=> ((~always3(s47)) | (~m_main_v_state(s47, c_busy)))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15903,plain,
% 1.75/1.94 (((~![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))))),
% 1.75/1.94 inference(monotonicity,[status(thm)],[15902])).
% 1.75/1.94 tff(15904,plain,
% 1.75/1.94 (((~![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)))),
% 1.75/1.94 inference(transitivity,[status(thm)],[15903, 15901])).
% 1.75/1.94 tff(15905,plain,
% 1.75/1.94 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s47, c_busy)) | (~always3(s47)))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15906,plain,
% 1.75/1.94 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s47)) | (~m_main_v_state(s47, c_busy))),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15905, 15904])).
% 1.75/1.94 tff(15907,plain,
% 1.75/1.94 (~m_main_v_state(s47, c_busy)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15906, 3154, 15900])).
% 1.75/1.94 tff(15908,assumption,(~m_main_v_state(s48, c_busy)), introduced(assumption)).
% 1.75/1.94 tff(15909,plain,
% 1.75/1.94 (((~![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))),
% 1.75/1.94 inference(rewrite,[status(thm)],[])).
% 1.75/1.94 tff(15910,plain,
% 1.75/1.94 ((~![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))),
% 1.75/1.94 inference(quant_inst,[status(thm)],[])).
% 1.75/1.94 tff(15911,plain,
% 1.75/1.94 ((~![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)),
% 1.75/1.94 inference(modus_ponens,[status(thm)],[15910, 15909])).
% 1.75/1.94 tff(15912,plain,
% 1.75/1.94 (m_main_v_state(s47, c_ready)),
% 1.75/1.94 inference(unit_resolution,[status(thm)],[15911, 19, 15907])).
% 1.75/1.94 tff(15913,plain,
% 1.75/1.94 (((~![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))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(15914,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s47, s48)) | node2(s47, s48))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(15915,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s47, s48)) | node2(s47, s48)),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[15914, 15913])).
% 1.75/1.95 tff(15916,plain,
% 1.75/1.95 (node2(s47, s48)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15915, 7, 40])).
% 1.75/1.95 tff(15917,plain,
% 1.75/1.95 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(15918,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(15919,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[15918, 15917])).
% 1.75/1.95 tff(15920,plain,
% 1.75/1.95 ((~m_main_v_state(s47, c_ready)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47))),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15919, 3175, 15916])).
% 1.75/1.95 tff(15921,plain,
% 1.75/1.95 (~m_main_v_request(s47)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15920, 15912, 15908])).
% 1.75/1.95 tff(15922,plain,
% 1.75/1.95 (((~![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)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(15923,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s47) | (~node4(s47)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(15924,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s47) | (~node4(s47))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[15923, 15922])).
% 1.75/1.95 tff(15925,plain,
% 1.75/1.95 (~node4(s47)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15924, 3141, 15921])).
% 1.75/1.95 tff(15926,plain,
% 1.75/1.95 (~until5(s47)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15896, 15925])).
% 1.75/1.95 tff(15927,plain,
% 1.75/1.95 (~xuntil6(s46)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2615, 15926])).
% 1.75/1.95 tff(15928,plain,
% 1.75/1.95 (node4(s46)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15893, 15927])).
% 1.75/1.95 tff(15929,plain,
% 1.75/1.95 (((~![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)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(15930,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s46) | (~node4(s46)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(15931,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s46) | (~node4(s46))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[15930, 15929])).
% 1.75/1.95 tff(15932,plain,
% 1.75/1.95 (m_main_v_request(s46)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15931, 3141, 15928])).
% 1.75/1.95 tff(15933,plain,
% 1.75/1.95 (((~![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))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(15934,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s46, s47)) | node2(s46, s47))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(15935,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s46, s47)) | node2(s46, s47)),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[15934, 15933])).
% 1.75/1.95 tff(15936,plain,
% 1.75/1.95 (node2(s46, s47)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15935, 7, 62])).
% 1.75/1.95 tff(15937,plain,
% 1.75/1.95 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(15938,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(15939,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~m_main_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))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[15938, 15937])).
% 1.75/1.95 tff(15940,plain,
% 1.75/1.95 ((~m_main_v_state(s46, c_ready)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46))),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15939, 3175, 15936])).
% 1.75/1.95 tff(15941,plain,
% 1.75/1.95 (~m_main_v_state(s46, c_ready)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15940, 15932, 15907])).
% 1.75/1.95 tff(15942,plain,
% 1.75/1.95 (always3(s46)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2602, 595, 15928])).
% 1.75/1.95 tff(15943,plain,
% 1.75/1.95 (~m_main_v_state(s46, c_busy)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15662, 3154, 15942])).
% 1.75/1.95 tff(15944,plain,
% 1.75/1.95 (((~![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))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(15945,plain,
% 1.75/1.95 ((~![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))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(15946,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s46, c_busy) | m_main_v_state(s46, c_ready)),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[15945, 15944])).
% 1.75/1.95 tff(15947,plain,
% 1.75/1.95 ($false),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15946, 19, 15943, 15941])).
% 1.75/1.95 tff(15948,plain,((~until5(s46)) | xuntil6(s47) | m_main_v_state(s48, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.95 tff(15949,plain,
% 1.75/1.95 (xuntil6(s47)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15948, 15637, 15888])).
% 1.75/1.95 tff(15950,plain,
% 1.75/1.95 (until5(s48)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2632, 15949])).
% 1.75/1.95 tff(15951,plain,
% 1.75/1.95 (node4(s48)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15610, 15950])).
% 1.75/1.95 tff(15952,plain,
% 1.75/1.95 (((~![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)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(15953,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s48) | (~node4(s48)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(15954,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s48) | (~node4(s48))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[15953, 15952])).
% 1.75/1.95 tff(15955,plain,
% 1.75/1.95 (m_main_v_request(s48)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15954, 3141, 15951])).
% 1.75/1.95 tff(15956,plain,
% 1.75/1.95 (((~![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))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(15957,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s48, s49)) | node2(s48, s49))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(15958,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s48, s49)) | node2(s48, s49)),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[15957, 15956])).
% 1.75/1.95 tff(15959,plain,
% 1.75/1.95 (node2(s48, s49)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15958, 7, 1595])).
% 1.75/1.95 tff(15960,plain,
% 1.75/1.95 (((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(15961,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~m_main_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)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(15962,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s48, c_ready)) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[15961, 15960])).
% 1.75/1.95 tff(15963,plain,
% 1.75/1.95 ((~m_main_v_state(s48, c_ready)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48))),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15962, 3175, 15959])).
% 1.75/1.95 tff(15964,plain,
% 1.75/1.95 ($false),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15963, 15955, 15641, 15630])).
% 1.75/1.95 tff(15965,plain,(xuntil6(s48)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.95 tff(15966,plain,
% 1.75/1.95 (until5(s49)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2649, 15965])).
% 1.75/1.95 tff(15967,plain,
% 1.75/1.95 (xuntil6(s49) | node4(s49)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2660, 614, 15966])).
% 1.75/1.95 tff(15968,plain,
% 1.75/1.95 (xuntil6(s49)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15967, 15606])).
% 1.75/1.95 tff(15969,plain,
% 1.75/1.95 (until5(s50)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2666, 15968])).
% 1.75/1.95 tff(15970,plain,
% 1.75/1.95 (node4(s50) | (~until5(s50))),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2677, 614, 15528])).
% 1.75/1.95 tff(15971,plain,
% 1.75/1.95 (node4(s50)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15970, 15969])).
% 1.75/1.95 tff(15972,plain,
% 1.75/1.95 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s50) | (~node4(s50)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s50) | (~node4(s50)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(15973,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s50) | (~node4(s50)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(15974,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s50) | (~node4(s50))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[15973, 15972])).
% 1.75/1.95 tff(15975,plain,
% 1.75/1.95 (m_main_v_request(s50)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15974, 3141, 15971])).
% 1.75/1.95 tff(15976,plain,
% 1.75/1.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s50, s51)) | node2(s50, s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s50, s51)) | node2(s50, s51))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(15977,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s50, s51)) | node2(s50, s51))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(15978,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s50, s51)) | node2(s50, s51)),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[15977, 15976])).
% 1.75/1.95 tff(15979,plain,
% 1.75/1.95 (node2(s50, s51)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15978, 7, 1571])).
% 1.75/1.95 tff(15980,plain,
% 1.75/1.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s50, c_ready)) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s50, c_ready)) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(15981,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s50, c_ready)) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(15982,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s50, c_ready)) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[15981, 15980])).
% 1.75/1.95 tff(15983,plain,
% 1.75/1.95 ((~m_main_v_state(s50, c_ready)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50))),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15982, 3175, 15979])).
% 1.75/1.95 tff(15984,plain,
% 1.75/1.95 ($false),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15983, 15975, 15577, 15501])).
% 1.75/1.95 tff(15985,plain,(xuntil6(s51)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.95 tff(15986,plain,
% 1.75/1.95 (until5(s52)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2700, 15985])).
% 1.75/1.95 tff(15987,assumption,(until5(s52)), introduced(assumption)).
% 1.75/1.95 tff(15988,assumption,(~xuntil6(s55)), introduced(assumption)).
% 1.75/1.95 tff(15989,plain,
% 1.75/1.95 (~always3(s54)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[1527, 8372])).
% 1.75/1.95 tff(15990,plain,
% 1.75/1.95 (~always3(s53)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[1539, 15989])).
% 1.75/1.95 tff(15991,plain,
% 1.75/1.95 (~node4(s53)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2721, 595, 15990])).
% 1.75/1.95 tff(15992,plain,
% 1.75/1.95 (~always3(s52)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[1551, 15990])).
% 1.75/1.95 tff(15993,plain,
% 1.75/1.95 (~node4(s52)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2704, 595, 15992])).
% 1.75/1.95 tff(15994,plain,
% 1.75/1.95 (xuntil6(s52) | node4(s52)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2711, 614, 15987])).
% 1.75/1.95 tff(15995,plain,
% 1.75/1.95 (xuntil6(s52)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15994, 15993])).
% 1.75/1.95 tff(15996,plain,
% 1.75/1.95 (until5(s53)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2717, 15995])).
% 1.75/1.95 tff(15997,plain,
% 1.75/1.95 (xuntil6(s53)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2728, 614, 15996, 15991])).
% 1.75/1.95 tff(15998,plain,
% 1.75/1.95 (until5(s54)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2734, 15997])).
% 1.75/1.95 tff(15999,plain,
% 1.75/1.95 (~node4(s54)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2738, 595, 15989])).
% 1.75/1.95 tff(16000,plain,
% 1.75/1.95 (xuntil6(s54) | (~until5(s54))),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2745, 614, 15999])).
% 1.75/1.95 tff(16001,plain,
% 1.75/1.95 (xuntil6(s54)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16000, 15998])).
% 1.75/1.95 tff(16002,plain,
% 1.75/1.95 (until5(s55)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2751, 16001])).
% 1.75/1.95 tff(16003,plain,
% 1.75/1.95 (node4(s55) | (~until5(s55))),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2762, 614, 15988])).
% 1.75/1.95 tff(16004,plain,
% 1.75/1.95 (node4(s55)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16003, 16002])).
% 1.75/1.95 tff(16005,plain,
% 1.75/1.95 ($false),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2755, 595, 8372, 16004])).
% 1.75/1.95 tff(16006,plain,(always3(s55) | xuntil6(s55) | (~until5(s52))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.95 tff(16007,plain,
% 1.75/1.95 (always3(s55)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16006, 15987, 15988])).
% 1.75/1.95 tff(16008,plain,
% 1.75/1.95 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s55)) | (~m_main_v_state(s55, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s55)) | (~m_main_v_state(s55, c_busy)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16009,plain,
% 1.75/1.95 (((~m_main_v_state(s55, c_busy)) | (~always3(s55))) <=> ((~always3(s55)) | (~m_main_v_state(s55, c_busy)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16010,plain,
% 1.75/1.95 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s55, c_busy)) | (~always3(s55)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s55)) | (~m_main_v_state(s55, c_busy))))),
% 1.75/1.95 inference(monotonicity,[status(thm)],[16009])).
% 1.75/1.95 tff(16011,plain,
% 1.75/1.95 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s55, c_busy)) | (~always3(s55)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s55)) | (~m_main_v_state(s55, c_busy)))),
% 1.75/1.95 inference(transitivity,[status(thm)],[16010, 16008])).
% 1.75/1.95 tff(16012,plain,
% 1.75/1.95 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s55, c_busy)) | (~always3(s55)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16013,plain,
% 1.75/1.95 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s55)) | (~m_main_v_state(s55, c_busy))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16012, 16011])).
% 1.75/1.95 tff(16014,plain,
% 1.75/1.95 (~m_main_v_state(s55, c_busy)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16013, 3154, 16007])).
% 1.75/1.95 tff(16015,assumption,(~m_main_v_state(s56, c_busy)), introduced(assumption)).
% 1.75/1.95 tff(16016,plain,
% 1.75/1.95 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s55, c_busy) | m_main_v_state(s55, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s55, c_busy) | m_main_v_state(s55, c_ready))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16017,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s55, c_busy) | m_main_v_state(s55, c_ready))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16018,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s55, c_busy) | m_main_v_state(s55, c_ready)),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16017, 16016])).
% 1.75/1.95 tff(16019,plain,
% 1.75/1.95 (m_main_v_state(s55, c_ready)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16018, 19, 16014])).
% 1.75/1.95 tff(16020,plain,
% 1.75/1.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s55, s56)) | node2(s55, s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s55, s56)) | node2(s55, s56))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16021,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s55, s56)) | node2(s55, s56))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16022,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s55, s56)) | node2(s55, s56)),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16021, 16020])).
% 1.75/1.95 tff(16023,plain,
% 1.75/1.95 (node2(s55, s56)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16022, 7, 1511])).
% 1.75/1.95 tff(16024,plain,
% 1.75/1.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s55, c_ready)) | (~node2(s55, s56)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s55)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s55, c_ready)) | (~node2(s55, s56)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s55)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16025,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s55, c_ready)) | (~node2(s55, s56)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s55)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16026,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s55, c_ready)) | (~node2(s55, s56)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s55))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16025, 16024])).
% 1.75/1.95 tff(16027,plain,
% 1.75/1.95 ((~m_main_v_state(s55, c_ready)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s55))),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16026, 3175, 16023])).
% 1.75/1.95 tff(16028,plain,
% 1.75/1.95 (~m_main_v_request(s55)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16027, 16019, 16015])).
% 1.75/1.95 tff(16029,plain,
% 1.75/1.95 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s55) | (~node4(s55)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s55) | (~node4(s55)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16030,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s55) | (~node4(s55)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16031,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s55) | (~node4(s55))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16030, 16029])).
% 1.75/1.95 tff(16032,plain,
% 1.75/1.95 (~node4(s55)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16031, 3141, 16028])).
% 1.75/1.95 tff(16033,plain,
% 1.75/1.95 (~until5(s55)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16003, 16032])).
% 1.75/1.95 tff(16034,plain,
% 1.75/1.95 (~xuntil6(s54)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2751, 16033])).
% 1.75/1.95 tff(16035,plain,
% 1.75/1.95 (~always3(s53)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[1539, 8249])).
% 1.75/1.95 tff(16036,plain,
% 1.75/1.95 (~node4(s53)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2721, 595, 16035])).
% 1.75/1.95 tff(16037,plain,
% 1.75/1.95 (~always3(s52)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[1551, 16035])).
% 1.75/1.95 tff(16038,plain,
% 1.75/1.95 (~node4(s52)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2704, 595, 16037])).
% 1.75/1.95 tff(16039,plain,
% 1.75/1.95 (xuntil6(s52)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15994, 16038])).
% 1.75/1.95 tff(16040,plain,
% 1.75/1.95 (until5(s53)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2717, 16039])).
% 1.75/1.95 tff(16041,plain,
% 1.75/1.95 (xuntil6(s53)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2728, 614, 16040, 16036])).
% 1.75/1.95 tff(16042,plain,
% 1.75/1.95 (until5(s54)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2734, 16041])).
% 1.75/1.95 tff(16043,assumption,(~xuntil6(s54)), introduced(assumption)).
% 1.75/1.95 tff(16044,plain,
% 1.75/1.95 (node4(s54) | (~until5(s54))),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2745, 614, 16043])).
% 1.75/1.95 tff(16045,plain,
% 1.75/1.95 (node4(s54)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16044, 16042])).
% 1.75/1.95 tff(16046,plain,
% 1.75/1.95 ($false),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2738, 595, 8249, 16045])).
% 1.75/1.95 tff(16047,plain,(always3(s54) | xuntil6(s54) | (~until5(s52))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.95 tff(16048,plain,
% 1.75/1.95 (always3(s54)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16047, 16034, 15987])).
% 1.75/1.95 tff(16049,plain,
% 1.75/1.95 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s54)) | (~m_main_v_state(s54, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s54)) | (~m_main_v_state(s54, c_busy)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16050,plain,
% 1.75/1.95 (((~m_main_v_state(s54, c_busy)) | (~always3(s54))) <=> ((~always3(s54)) | (~m_main_v_state(s54, c_busy)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16051,plain,
% 1.75/1.95 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s54, c_busy)) | (~always3(s54)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s54)) | (~m_main_v_state(s54, c_busy))))),
% 1.75/1.95 inference(monotonicity,[status(thm)],[16050])).
% 1.75/1.95 tff(16052,plain,
% 1.75/1.95 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s54, c_busy)) | (~always3(s54)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s54)) | (~m_main_v_state(s54, c_busy)))),
% 1.75/1.95 inference(transitivity,[status(thm)],[16051, 16049])).
% 1.75/1.95 tff(16053,plain,
% 1.75/1.95 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s54, c_busy)) | (~always3(s54)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16054,plain,
% 1.75/1.95 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s54)) | (~m_main_v_state(s54, c_busy))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16053, 16052])).
% 1.75/1.95 tff(16055,plain,
% 1.75/1.95 (~m_main_v_state(s54, c_busy)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16054, 3154, 16048])).
% 1.75/1.95 tff(16056,plain,
% 1.75/1.95 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s54, c_busy) | m_main_v_state(s54, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s54, c_busy) | m_main_v_state(s54, c_ready))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16057,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s54, c_busy) | m_main_v_state(s54, c_ready))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16058,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s54, c_busy) | m_main_v_state(s54, c_ready)),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16057, 16056])).
% 1.75/1.95 tff(16059,plain,
% 1.75/1.95 (m_main_v_state(s54, c_ready)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16058, 19, 16055])).
% 1.75/1.95 tff(16060,plain,
% 1.75/1.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s54, s55)) | node2(s54, s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s54, s55)) | node2(s54, s55))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16061,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s54, s55)) | node2(s54, s55))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16062,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s54, s55)) | node2(s54, s55)),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16061, 16060])).
% 1.75/1.95 tff(16063,plain,
% 1.75/1.95 (node2(s54, s55)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16062, 7, 1523])).
% 1.75/1.95 tff(16064,plain,
% 1.75/1.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s54, c_ready)) | (~node2(s54, s55)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s54)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s54, c_ready)) | (~node2(s54, s55)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s54)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16065,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s54, c_ready)) | (~node2(s54, s55)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s54)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16066,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s54, c_ready)) | (~node2(s54, s55)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s54))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16065, 16064])).
% 1.75/1.95 tff(16067,plain,
% 1.75/1.95 ((~m_main_v_state(s54, c_ready)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s54))),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16066, 3175, 16063])).
% 1.75/1.95 tff(16068,plain,
% 1.75/1.95 (~m_main_v_request(s54)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16067, 16059, 16014])).
% 1.75/1.95 tff(16069,plain,
% 1.75/1.95 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s54) | (~node4(s54)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s54) | (~node4(s54)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16070,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s54) | (~node4(s54)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16071,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s54) | (~node4(s54))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16070, 16069])).
% 1.75/1.95 tff(16072,plain,
% 1.75/1.95 (~node4(s54)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16071, 3141, 16068])).
% 1.75/1.95 tff(16073,plain,
% 1.75/1.95 (node4(s54) | (~until5(s54))),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2745, 614, 16034])).
% 1.75/1.95 tff(16074,plain,
% 1.75/1.95 (~until5(s54)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16073, 16072])).
% 1.75/1.95 tff(16075,plain,
% 1.75/1.95 (~xuntil6(s53)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2734, 16074])).
% 1.75/1.95 tff(16076,plain,
% 1.75/1.95 (~always3(s52)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[1551, 8283])).
% 1.75/1.95 tff(16077,plain,
% 1.75/1.95 (~node4(s52)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2704, 595, 16076])).
% 1.75/1.95 tff(16078,plain,
% 1.75/1.95 (xuntil6(s52)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15994, 16077])).
% 1.75/1.95 tff(16079,plain,
% 1.75/1.95 (until5(s53)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2717, 16078])).
% 1.75/1.95 tff(16080,assumption,(~xuntil6(s53)), introduced(assumption)).
% 1.75/1.95 tff(16081,plain,
% 1.75/1.95 (node4(s53) | (~until5(s53))),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2728, 614, 16080])).
% 1.75/1.95 tff(16082,plain,
% 1.75/1.95 (node4(s53)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16081, 16079])).
% 1.75/1.95 tff(16083,plain,
% 1.75/1.95 ($false),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2721, 595, 8283, 16082])).
% 1.75/1.95 tff(16084,plain,(always3(s53) | xuntil6(s53) | (~until5(s52))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.95 tff(16085,plain,
% 1.75/1.95 (always3(s53)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16084, 16075, 15987])).
% 1.75/1.95 tff(16086,plain,
% 1.75/1.95 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s53)) | (~m_main_v_state(s53, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s53)) | (~m_main_v_state(s53, c_busy)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16087,plain,
% 1.75/1.95 (((~m_main_v_state(s53, c_busy)) | (~always3(s53))) <=> ((~always3(s53)) | (~m_main_v_state(s53, c_busy)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16088,plain,
% 1.75/1.95 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s53, c_busy)) | (~always3(s53)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s53)) | (~m_main_v_state(s53, c_busy))))),
% 1.75/1.95 inference(monotonicity,[status(thm)],[16087])).
% 1.75/1.95 tff(16089,plain,
% 1.75/1.95 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s53, c_busy)) | (~always3(s53)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s53)) | (~m_main_v_state(s53, c_busy)))),
% 1.75/1.95 inference(transitivity,[status(thm)],[16088, 16086])).
% 1.75/1.95 tff(16090,plain,
% 1.75/1.95 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s53, c_busy)) | (~always3(s53)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16091,plain,
% 1.75/1.95 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s53)) | (~m_main_v_state(s53, c_busy))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16090, 16089])).
% 1.75/1.95 tff(16092,plain,
% 1.75/1.95 (~m_main_v_state(s53, c_busy)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16091, 3154, 16085])).
% 1.75/1.95 tff(16093,plain,
% 1.75/1.95 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s53, c_busy) | m_main_v_state(s53, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s53, c_busy) | m_main_v_state(s53, c_ready))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16094,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s53, c_busy) | m_main_v_state(s53, c_ready))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16095,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s53, c_busy) | m_main_v_state(s53, c_ready)),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16094, 16093])).
% 1.75/1.95 tff(16096,plain,
% 1.75/1.95 (m_main_v_state(s53, c_ready)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16095, 19, 16092])).
% 1.75/1.95 tff(16097,plain,
% 1.75/1.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s53, s54)) | node2(s53, s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s53, s54)) | node2(s53, s54))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16098,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s53, s54)) | node2(s53, s54))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16099,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s53, s54)) | node2(s53, s54)),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16098, 16097])).
% 1.75/1.95 tff(16100,plain,
% 1.75/1.95 (node2(s53, s54)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16099, 7, 1535])).
% 1.75/1.95 tff(16101,plain,
% 1.75/1.95 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s53, c_ready)) | (~node2(s53, s54)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s53, c_ready)) | (~node2(s53, s54)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16102,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s53, c_ready)) | (~node2(s53, s54)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16103,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s53, c_ready)) | (~node2(s53, s54)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16102, 16101])).
% 1.75/1.95 tff(16104,plain,
% 1.75/1.95 ((~m_main_v_state(s53, c_ready)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53))),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16103, 3175, 16100])).
% 1.75/1.95 tff(16105,plain,
% 1.75/1.95 (~m_main_v_request(s53)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16104, 16096, 16055])).
% 1.75/1.95 tff(16106,plain,
% 1.75/1.95 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s53) | (~node4(s53)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s53) | (~node4(s53)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16107,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s53) | (~node4(s53)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16108,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s53) | (~node4(s53))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16107, 16106])).
% 1.75/1.95 tff(16109,plain,
% 1.75/1.95 (~node4(s53)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16108, 3141, 16105])).
% 1.75/1.95 tff(16110,plain,
% 1.75/1.95 (node4(s53) | (~until5(s53))),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2728, 614, 16075])).
% 1.75/1.95 tff(16111,plain,
% 1.75/1.95 (~until5(s53)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16110, 16109])).
% 1.75/1.95 tff(16112,plain,
% 1.75/1.95 (~xuntil6(s52)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[2717, 16111])).
% 1.75/1.95 tff(16113,plain,
% 1.75/1.95 (node4(s52)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[15994, 16112])).
% 1.75/1.95 tff(16114,plain,
% 1.75/1.95 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s52) | (~node4(s52)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s52) | (~node4(s52)))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16115,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s52) | (~node4(s52)))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16116,plain,
% 1.75/1.95 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s52) | (~node4(s52))),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16115, 16114])).
% 1.75/1.95 tff(16117,plain,
% 1.75/1.95 (m_main_v_request(s52)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16116, 3141, 16113])).
% 1.75/1.95 tff(16118,plain,
% 1.75/1.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s52, s53)) | node2(s52, s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s52, s53)) | node2(s52, s53))),
% 1.75/1.95 inference(rewrite,[status(thm)],[])).
% 1.75/1.95 tff(16119,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s52, s53)) | node2(s52, s53))),
% 1.75/1.95 inference(quant_inst,[status(thm)],[])).
% 1.75/1.95 tff(16120,plain,
% 1.75/1.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s52, s53)) | node2(s52, s53)),
% 1.75/1.95 inference(modus_ponens,[status(thm)],[16119, 16118])).
% 1.75/1.95 tff(16121,plain,
% 1.75/1.95 (node2(s52, s53)),
% 1.75/1.95 inference(unit_resolution,[status(thm)],[16120, 7, 1547])).
% 1.75/1.96 tff(16122,plain,
% 1.75/1.96 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s52, c_ready)) | (~node2(s52, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s52, c_ready)) | (~node2(s52, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16123,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s52, c_ready)) | (~node2(s52, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52)))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16124,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s52, c_ready)) | (~node2(s52, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52))),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16123, 16122])).
% 1.75/1.96 tff(16125,plain,
% 1.75/1.96 ((~m_main_v_state(s52, c_ready)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52))),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16124, 3175, 16121])).
% 1.75/1.96 tff(16126,plain,
% 1.75/1.96 (~m_main_v_state(s52, c_ready)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16125, 16117, 16092])).
% 1.75/1.96 tff(16127,plain,
% 1.75/1.96 (always3(s52)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2704, 595, 16113])).
% 1.75/1.96 tff(16128,plain,
% 1.75/1.96 (~m_main_v_state(s52, c_busy)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[15508, 3154, 16127])).
% 1.75/1.96 tff(16129,plain,
% 1.75/1.96 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s52, c_busy) | m_main_v_state(s52, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s52, c_busy) | m_main_v_state(s52, c_ready))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16130,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s52, c_busy) | m_main_v_state(s52, c_ready))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16131,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s52, c_busy) | m_main_v_state(s52, c_ready)),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16130, 16129])).
% 1.75/1.96 tff(16132,plain,
% 1.75/1.96 ($false),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16131, 19, 16128, 16126])).
% 1.75/1.96 tff(16133,plain,((~until5(s52)) | xuntil6(s55) | m_main_v_state(s56, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.96 tff(16134,plain,
% 1.75/1.96 (xuntil6(s55)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16133, 15448, 15986])).
% 1.75/1.96 tff(16135,plain,
% 1.75/1.96 (until5(s56)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2768, 16134])).
% 1.75/1.96 tff(16136,plain,
% 1.75/1.96 (node4(s56)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[15377, 16135])).
% 1.75/1.96 tff(16137,plain,
% 1.75/1.96 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s56) | (~node4(s56)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s56) | (~node4(s56)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16138,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s56) | (~node4(s56)))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16139,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s56) | (~node4(s56))),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16138, 16137])).
% 1.75/1.96 tff(16140,plain,
% 1.75/1.96 (m_main_v_request(s56)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16139, 3141, 16136])).
% 1.75/1.96 tff(16141,plain,
% 1.75/1.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s56, s57)) | node2(s56, s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s56, s57)) | node2(s56, s57))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16142,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s56, s57)) | node2(s56, s57))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16143,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s56, s57)) | node2(s56, s57)),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16142, 16141])).
% 1.75/1.96 tff(16144,plain,
% 1.75/1.96 (node2(s56, s57)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16143, 7, 1499])).
% 1.75/1.96 tff(16145,plain,
% 1.75/1.96 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s56, c_ready)) | (~node2(s56, s57)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s56)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s56, c_ready)) | (~node2(s56, s57)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s56)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16146,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s56, c_ready)) | (~node2(s56, s57)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s56)))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16147,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s56, c_ready)) | (~node2(s56, s57)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s56))),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16146, 16145])).
% 1.75/1.96 tff(16148,plain,
% 1.75/1.96 ((~m_main_v_state(s56, c_ready)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s56))),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16147, 3175, 16144])).
% 1.75/1.96 tff(16149,plain,
% 1.75/1.96 ($false),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16148, 16140, 15452, 15441])).
% 1.75/1.96 tff(16150,plain,(xuntil6(s56)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.96 tff(16151,plain,
% 1.75/1.96 (until5(s57)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2785, 16150])).
% 1.75/1.96 tff(16152,plain,
% 1.75/1.96 (xuntil6(s57) | node4(s57)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2796, 614, 16151])).
% 1.75/1.96 tff(16153,plain,
% 1.75/1.96 (xuntil6(s57)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16152, 15372])).
% 1.75/1.96 tff(16154,plain,
% 1.75/1.96 (until5(s58)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2802, 16153])).
% 1.75/1.96 tff(16155,plain,
% 1.75/1.96 (node4(s58)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[15252, 16154])).
% 1.75/1.96 tff(16156,plain,
% 1.75/1.96 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s58) | (~node4(s58)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s58) | (~node4(s58)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16157,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s58) | (~node4(s58)))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16158,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s58) | (~node4(s58))),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16157, 16156])).
% 1.75/1.96 tff(16159,plain,
% 1.75/1.96 (m_main_v_request(s58)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16158, 3141, 16155])).
% 1.75/1.96 tff(16160,plain,
% 1.75/1.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s58, s59)) | node2(s58, s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s58, s59)) | node2(s58, s59))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16161,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s58, s59)) | node2(s58, s59))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16162,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s58, s59)) | node2(s58, s59)),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16161, 16160])).
% 1.75/1.96 tff(16163,plain,
% 1.75/1.96 (node2(s58, s59)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16162, 7, 1475])).
% 1.75/1.96 tff(16164,plain,
% 1.75/1.96 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s58, c_ready)) | (~node2(s58, s59)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s58)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s58, c_ready)) | (~node2(s58, s59)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s58)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16165,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s58, c_ready)) | (~node2(s58, s59)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s58)))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16166,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s58, c_ready)) | (~node2(s58, s59)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s58))),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16165, 16164])).
% 1.75/1.96 tff(16167,plain,
% 1.75/1.96 ((~m_main_v_state(s58, c_ready)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s58))),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16166, 3175, 16163])).
% 1.75/1.96 tff(16168,plain,
% 1.75/1.96 ($false),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16167, 16159, 15343, 15332])).
% 1.75/1.96 tff(16169,plain,(xuntil6(s58)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.96 tff(16170,plain,
% 1.75/1.96 (until5(s59)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2819, 16169])).
% 1.75/1.96 tff(16171,assumption,(until5(s59)), introduced(assumption)).
% 1.75/1.96 tff(16172,assumption,(~m_main_v_state(s62, c_busy)), introduced(assumption)).
% 1.75/1.96 tff(16173,assumption,(~xuntil6(s61)), introduced(assumption)).
% 1.75/1.96 tff(16174,plain,
% 1.75/1.96 (~always3(s60)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1455, 8261])).
% 1.75/1.96 tff(16175,plain,
% 1.75/1.96 (~node4(s60)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2840, 595, 16174])).
% 1.75/1.96 tff(16176,plain,
% 1.75/1.96 (~always3(s59)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1467, 16174])).
% 1.75/1.96 tff(16177,plain,
% 1.75/1.96 (~node4(s59)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2823, 595, 16176])).
% 1.75/1.96 tff(16178,plain,
% 1.75/1.96 (xuntil6(s59) | node4(s59)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2830, 614, 16171])).
% 1.75/1.96 tff(16179,plain,
% 1.75/1.96 (xuntil6(s59)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16178, 16177])).
% 1.75/1.96 tff(16180,plain,
% 1.75/1.96 (until5(s60)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2836, 16179])).
% 1.75/1.96 tff(16181,plain,
% 1.75/1.96 (xuntil6(s60)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2847, 614, 16180, 16175])).
% 1.75/1.96 tff(16182,plain,
% 1.75/1.96 (until5(s61)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2853, 16181])).
% 1.75/1.96 tff(16183,plain,
% 1.75/1.96 (node4(s61) | (~until5(s61))),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2864, 614, 16173])).
% 1.75/1.96 tff(16184,plain,
% 1.75/1.96 (node4(s61)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16183, 16182])).
% 1.75/1.96 tff(16185,plain,
% 1.75/1.96 ($false),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2857, 595, 8261, 16184])).
% 1.75/1.96 tff(16186,plain,(always3(s61) | xuntil6(s61) | (~until5(s59))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.96 tff(16187,plain,
% 1.75/1.96 (always3(s61)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16186, 16171, 16173])).
% 1.75/1.96 tff(16188,plain,
% 1.75/1.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s61)) | (~m_main_v_state(s61, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s61)) | (~m_main_v_state(s61, c_busy)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16189,plain,
% 1.75/1.96 (((~m_main_v_state(s61, c_busy)) | (~always3(s61))) <=> ((~always3(s61)) | (~m_main_v_state(s61, c_busy)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16190,plain,
% 1.75/1.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s61, c_busy)) | (~always3(s61)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s61)) | (~m_main_v_state(s61, c_busy))))),
% 1.75/1.96 inference(monotonicity,[status(thm)],[16189])).
% 1.75/1.96 tff(16191,plain,
% 1.75/1.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s61, c_busy)) | (~always3(s61)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s61)) | (~m_main_v_state(s61, c_busy)))),
% 1.75/1.96 inference(transitivity,[status(thm)],[16190, 16188])).
% 1.75/1.96 tff(16192,plain,
% 1.75/1.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s61, c_busy)) | (~always3(s61)))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16193,plain,
% 1.75/1.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s61)) | (~m_main_v_state(s61, c_busy))),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16192, 16191])).
% 1.75/1.96 tff(16194,plain,
% 1.75/1.96 (~m_main_v_state(s61, c_busy)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16193, 3154, 16187])).
% 1.75/1.96 tff(16195,plain,
% 1.75/1.96 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s61, c_busy) | m_main_v_state(s61, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s61, c_busy) | m_main_v_state(s61, c_ready))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16196,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s61, c_busy) | m_main_v_state(s61, c_ready))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16197,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s61, c_busy) | m_main_v_state(s61, c_ready)),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16196, 16195])).
% 1.75/1.96 tff(16198,plain,
% 1.75/1.96 (m_main_v_state(s61, c_ready)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16197, 19, 16194])).
% 1.75/1.96 tff(16199,plain,
% 1.75/1.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s61, s62)) | node2(s61, s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s61, s62)) | node2(s61, s62))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16200,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s61, s62)) | node2(s61, s62))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16201,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s61, s62)) | node2(s61, s62)),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16200, 16199])).
% 1.75/1.96 tff(16202,plain,
% 1.75/1.96 (node2(s61, s62)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16201, 7, 1439])).
% 1.75/1.96 tff(16203,plain,
% 1.75/1.96 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s61, c_ready)) | (~node2(s61, s62)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s61)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s61, c_ready)) | (~node2(s61, s62)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s61)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16204,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s61, c_ready)) | (~node2(s61, s62)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s61)))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16205,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s61, c_ready)) | (~node2(s61, s62)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s61))),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16204, 16203])).
% 1.75/1.96 tff(16206,plain,
% 1.75/1.96 ((~m_main_v_state(s61, c_ready)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s61))),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16205, 3175, 16202])).
% 1.75/1.96 tff(16207,plain,
% 1.75/1.96 (~m_main_v_request(s61)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16206, 16198, 16172])).
% 1.75/1.96 tff(16208,plain,
% 1.75/1.96 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s61) | (~node4(s61)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s61) | (~node4(s61)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16209,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s61) | (~node4(s61)))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16210,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s61) | (~node4(s61))),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16209, 16208])).
% 1.75/1.96 tff(16211,plain,
% 1.75/1.96 (~node4(s61)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16210, 3141, 16207])).
% 1.75/1.96 tff(16212,plain,
% 1.75/1.96 (~until5(s61)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16183, 16211])).
% 1.75/1.96 tff(16213,plain,
% 1.75/1.96 (~xuntil6(s60)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2853, 16212])).
% 1.75/1.96 tff(16214,plain,
% 1.75/1.96 (~always3(s59)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1467, 8397])).
% 1.75/1.96 tff(16215,plain,
% 1.75/1.96 (~node4(s59)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2823, 595, 16214])).
% 1.75/1.96 tff(16216,plain,
% 1.75/1.96 (xuntil6(s59)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16178, 16215])).
% 1.75/1.96 tff(16217,plain,
% 1.75/1.96 (until5(s60)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2836, 16216])).
% 1.75/1.96 tff(16218,assumption,(~xuntil6(s60)), introduced(assumption)).
% 1.75/1.96 tff(16219,plain,
% 1.75/1.96 (node4(s60) | (~until5(s60))),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2847, 614, 16218])).
% 1.75/1.96 tff(16220,plain,
% 1.75/1.96 (node4(s60)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16219, 16217])).
% 1.75/1.96 tff(16221,plain,
% 1.75/1.96 ($false),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2840, 595, 8397, 16220])).
% 1.75/1.96 tff(16222,plain,(always3(s60) | xuntil6(s60) | (~until5(s59))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.96 tff(16223,plain,
% 1.75/1.96 (always3(s60)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16222, 16213, 16171])).
% 1.75/1.96 tff(16224,plain,
% 1.75/1.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s60)) | (~m_main_v_state(s60, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s60)) | (~m_main_v_state(s60, c_busy)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16225,plain,
% 1.75/1.96 (((~m_main_v_state(s60, c_busy)) | (~always3(s60))) <=> ((~always3(s60)) | (~m_main_v_state(s60, c_busy)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16226,plain,
% 1.75/1.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s60, c_busy)) | (~always3(s60)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s60)) | (~m_main_v_state(s60, c_busy))))),
% 1.75/1.96 inference(monotonicity,[status(thm)],[16225])).
% 1.75/1.96 tff(16227,plain,
% 1.75/1.96 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s60, c_busy)) | (~always3(s60)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s60)) | (~m_main_v_state(s60, c_busy)))),
% 1.75/1.96 inference(transitivity,[status(thm)],[16226, 16224])).
% 1.75/1.96 tff(16228,plain,
% 1.75/1.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s60, c_busy)) | (~always3(s60)))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16229,plain,
% 1.75/1.96 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s60)) | (~m_main_v_state(s60, c_busy))),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16228, 16227])).
% 1.75/1.96 tff(16230,plain,
% 1.75/1.96 (~m_main_v_state(s60, c_busy)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16229, 3154, 16223])).
% 1.75/1.96 tff(16231,plain,
% 1.75/1.96 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s60, c_busy) | m_main_v_state(s60, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s60, c_busy) | m_main_v_state(s60, c_ready))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16232,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s60, c_busy) | m_main_v_state(s60, c_ready))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16233,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s60, c_busy) | m_main_v_state(s60, c_ready)),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16232, 16231])).
% 1.75/1.96 tff(16234,plain,
% 1.75/1.96 (m_main_v_state(s60, c_ready)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16233, 19, 16230])).
% 1.75/1.96 tff(16235,plain,
% 1.75/1.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s60, s61)) | node2(s60, s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s60, s61)) | node2(s60, s61))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16236,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s60, s61)) | node2(s60, s61))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16237,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s60, s61)) | node2(s60, s61)),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16236, 16235])).
% 1.75/1.96 tff(16238,plain,
% 1.75/1.96 (node2(s60, s61)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16237, 7, 1451])).
% 1.75/1.96 tff(16239,plain,
% 1.75/1.96 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s60, c_ready)) | (~node2(s60, s61)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s60)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s60, c_ready)) | (~node2(s60, s61)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s60)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16240,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s60, c_ready)) | (~node2(s60, s61)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s60)))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16241,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s60, c_ready)) | (~node2(s60, s61)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s60))),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16240, 16239])).
% 1.75/1.96 tff(16242,plain,
% 1.75/1.96 ((~m_main_v_state(s60, c_ready)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s60))),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16241, 3175, 16238])).
% 1.75/1.96 tff(16243,plain,
% 1.75/1.96 (~m_main_v_request(s60)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16242, 16234, 16194])).
% 1.75/1.96 tff(16244,plain,
% 1.75/1.96 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s60) | (~node4(s60)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s60) | (~node4(s60)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16245,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s60) | (~node4(s60)))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16246,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s60) | (~node4(s60))),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16245, 16244])).
% 1.75/1.96 tff(16247,plain,
% 1.75/1.96 (~node4(s60)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16246, 3141, 16243])).
% 1.75/1.96 tff(16248,plain,
% 1.75/1.96 (node4(s60) | (~until5(s60))),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2847, 614, 16213])).
% 1.75/1.96 tff(16249,plain,
% 1.75/1.96 (~until5(s60)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16248, 16247])).
% 1.75/1.96 tff(16250,plain,
% 1.75/1.96 (~xuntil6(s59)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2836, 16249])).
% 1.75/1.96 tff(16251,plain,
% 1.75/1.96 (node4(s59)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16178, 16250])).
% 1.75/1.96 tff(16252,plain,
% 1.75/1.96 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s59) | (~node4(s59)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s59) | (~node4(s59)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16253,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s59) | (~node4(s59)))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16254,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s59) | (~node4(s59))),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16253, 16252])).
% 1.75/1.96 tff(16255,plain,
% 1.75/1.96 (m_main_v_request(s59)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16254, 3141, 16251])).
% 1.75/1.96 tff(16256,plain,
% 1.75/1.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s59, s60)) | node2(s59, s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s59, s60)) | node2(s59, s60))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16257,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s59, s60)) | node2(s59, s60))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16258,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s59, s60)) | node2(s59, s60)),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16257, 16256])).
% 1.75/1.96 tff(16259,plain,
% 1.75/1.96 (node2(s59, s60)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16258, 7, 1463])).
% 1.75/1.96 tff(16260,plain,
% 1.75/1.96 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s59, c_ready)) | (~node2(s59, s60)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s59)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s59, c_ready)) | (~node2(s59, s60)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s59)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16261,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s59, c_ready)) | (~node2(s59, s60)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s59)))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16262,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s59, c_ready)) | (~node2(s59, s60)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s59))),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16261, 16260])).
% 1.75/1.96 tff(16263,plain,
% 1.75/1.96 ((~m_main_v_state(s59, c_ready)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s59))),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16262, 3175, 16259])).
% 1.75/1.96 tff(16264,plain,
% 1.75/1.96 (~m_main_v_state(s59, c_ready)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16263, 16255, 16230])).
% 1.75/1.96 tff(16265,plain,
% 1.75/1.96 (always3(s59)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2823, 595, 16251])).
% 1.75/1.96 tff(16266,plain,
% 1.75/1.96 (~m_main_v_state(s59, c_busy)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[15331, 3154, 16265])).
% 1.75/1.96 tff(16267,plain,
% 1.75/1.96 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s59, c_busy) | m_main_v_state(s59, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s59, c_busy) | m_main_v_state(s59, c_ready))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16268,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s59, c_busy) | m_main_v_state(s59, c_ready))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16269,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s59, c_busy) | m_main_v_state(s59, c_ready)),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16268, 16267])).
% 1.75/1.96 tff(16270,plain,
% 1.75/1.96 ($false),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16269, 19, 16266, 16264])).
% 1.75/1.96 tff(16271,plain,((~until5(s59)) | xuntil6(s61) | m_main_v_state(s62, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.96 tff(16272,plain,
% 1.75/1.96 (xuntil6(s61)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16271, 15243, 16170])).
% 1.75/1.96 tff(16273,plain,
% 1.75/1.96 (until5(s62)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2870, 16272])).
% 1.75/1.96 tff(16274,plain,
% 1.75/1.96 (node4(s62) | (~until5(s62))),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2881, 614, 15235])).
% 1.75/1.96 tff(16275,plain,
% 1.75/1.96 (node4(s62)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16274, 16273])).
% 1.75/1.96 tff(16276,plain,
% 1.75/1.96 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s62) | (~node4(s62)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s62) | (~node4(s62)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16277,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s62) | (~node4(s62)))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16278,plain,
% 1.75/1.96 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s62) | (~node4(s62))),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16277, 16276])).
% 1.75/1.96 tff(16279,plain,
% 1.75/1.96 (m_main_v_request(s62)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16278, 3141, 16275])).
% 1.75/1.96 tff(16280,plain,
% 1.75/1.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s62, s63)) | node2(s62, s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s62, s63)) | node2(s62, s63))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16281,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s62, s63)) | node2(s62, s63))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16282,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s62, s63)) | node2(s62, s63)),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16281, 16280])).
% 1.75/1.96 tff(16283,plain,
% 1.75/1.96 (node2(s62, s63)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16282, 7, 1427])).
% 1.75/1.96 tff(16284,plain,
% 1.75/1.96 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s62, c_ready)) | (~node2(s62, s63)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s62)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s62, c_ready)) | (~node2(s62, s63)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s62)))),
% 1.75/1.96 inference(rewrite,[status(thm)],[])).
% 1.75/1.96 tff(16285,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s62, c_ready)) | (~node2(s62, s63)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s62)))),
% 1.75/1.96 inference(quant_inst,[status(thm)],[])).
% 1.75/1.96 tff(16286,plain,
% 1.75/1.96 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s62, c_ready)) | (~node2(s62, s63)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s62))),
% 1.75/1.96 inference(modus_ponens,[status(thm)],[16285, 16284])).
% 1.75/1.96 tff(16287,plain,
% 1.75/1.96 ((~m_main_v_state(s62, c_ready)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s62))),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16286, 3175, 16283])).
% 1.75/1.96 tff(16288,plain,
% 1.75/1.96 ($false),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16287, 16279, 15247, 15224])).
% 1.75/1.96 tff(16289,plain,(xuntil6(s63)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.96 tff(16290,plain,
% 1.75/1.96 (until5(s64)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1398, 16289])).
% 1.75/1.96 tff(16291,plain,
% 1.75/1.96 (xuntil6(s64) | node4(s64)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1389, 614, 16290])).
% 1.75/1.96 tff(16292,plain,
% 1.75/1.96 (node4(s64)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16291, 15222])).
% 1.75/1.96 tff(16293,plain,
% 1.75/1.96 (m_main_v_state(s65, c_busy)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[15075, 16292])).
% 1.75/1.96 tff(16294,plain,
% 1.75/1.96 (always3(s65)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[13526, 13432, 8100])).
% 1.75/1.96 tff(16295,plain,
% 1.75/1.96 ($false),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[13557, 3154, 16294, 16293])).
% 1.75/1.96 tff(16296,plain,(xuntil6(s65)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.96 tff(16297,plain,
% 1.75/1.96 (until5(s66)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1340, 16296])).
% 1.75/1.96 tff(16298,plain,
% 1.75/1.96 (~until5(s69)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[14005, 13838, 8122])).
% 1.75/1.96 tff(16299,plain,
% 1.75/1.96 (~xuntil6(s68)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1253, 16298])).
% 1.75/1.96 tff(16300,plain,
% 1.75/1.96 (always3(s68)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[13835, 16299, 13821])).
% 1.75/1.96 tff(16301,plain,
% 1.75/1.96 (~m_main_v_state(s68, c_busy)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[14798, 3154, 16300])).
% 1.75/1.96 tff(16302,plain,
% 1.75/1.96 (m_main_v_state(s68, c_ready)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[14802, 19, 16301])).
% 1.75/1.96 tff(16303,plain,
% 1.75/1.96 (~node4(s67)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[14919, 16301])).
% 1.75/1.96 tff(16304,plain,
% 1.75/1.96 (xuntil6(s66)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[13592, 13821])).
% 1.75/1.96 tff(16305,plain,
% 1.75/1.96 (until5(s67)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1311, 16304])).
% 1.75/1.96 tff(16306,plain,
% 1.75/1.96 (xuntil6(s67) | node4(s67)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1302, 614, 16305])).
% 1.75/1.96 tff(16307,plain,
% 1.75/1.96 (xuntil6(s67)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16306, 16303])).
% 1.75/1.96 tff(16308,plain,
% 1.75/1.96 (until5(s68)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1282, 16307])).
% 1.75/1.96 tff(16309,plain,
% 1.75/1.96 (node4(s68) | (~until5(s68))),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1273, 614, 16299])).
% 1.75/1.96 tff(16310,plain,
% 1.75/1.96 (node4(s68)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16309, 16308])).
% 1.75/1.96 tff(16311,plain,
% 1.75/1.96 (m_main_v_request(s68)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[14815, 3141, 16310])).
% 1.75/1.96 tff(16312,plain,
% 1.75/1.96 ($false),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[14811, 16311, 16302, 14000])).
% 1.75/1.96 tff(16313,plain,(xuntil6(s69) | (~until5(s66)) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.96 tff(16314,plain,
% 1.75/1.96 (xuntil6(s69)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16313, 16297, 8100])).
% 1.75/1.96 tff(16315,plain,
% 1.75/1.96 (until5(s70)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1224, 16314])).
% 1.75/1.96 tff(16316,plain,
% 1.75/1.96 (xuntil6(s70) | node4(s70)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1215, 614, 16315])).
% 1.75/1.96 tff(16317,plain,
% 1.75/1.96 (node4(s70)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16316, 15220])).
% 1.75/1.96 tff(16318,plain,
% 1.75/1.96 (m_main_v_state(s71, c_busy)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[14636, 16317])).
% 1.75/1.96 tff(16319,plain,
% 1.75/1.96 (always3(s71)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[14154, 14014, 8100])).
% 1.75/1.96 tff(16320,plain,
% 1.75/1.96 ($false),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[14185, 3154, 16319, 16318])).
% 1.75/1.96 tff(16321,plain,(xuntil6(s71)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.96 tff(16322,plain,
% 1.75/1.96 (until5(s72)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1166, 16321])).
% 1.75/1.96 tff(16323,plain,
% 1.75/1.96 (xuntil6(s74)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[14409, 16322, 8100])).
% 1.75/1.96 tff(16324,plain,
% 1.75/1.96 (until5(s75)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1079, 16323])).
% 1.75/1.96 tff(16325,plain,
% 1.75/1.96 (xuntil6(s75)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[8908, 16324])).
% 1.75/1.96 tff(16326,plain,
% 1.75/1.96 (until5(s76)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1050, 16325])).
% 1.75/1.96 tff(16327,plain,
% 1.75/1.96 (xuntil6(s76)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[14439, 16326])).
% 1.75/1.96 tff(16328,plain,
% 1.75/1.96 (until5(s77)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[1021, 16327])).
% 1.75/1.96 tff(16329,plain,
% 1.75/1.96 (xuntil6(s77)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[8967, 16328, 16324])).
% 1.75/1.96 tff(16330,plain,
% 1.75/1.96 (until5(s78)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[992, 16329])).
% 1.75/1.96 tff(16331,plain,
% 1.75/1.96 (xuntil6(s79)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[14445, 16330])).
% 1.75/1.96 tff(16332,plain,
% 1.75/1.96 (until5(s80)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[934, 16331])).
% 1.75/1.96 tff(16333,plain,
% 1.75/1.96 (xuntil6(s81)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[11964, 16332, 16324, 8100])).
% 1.75/1.96 tff(16334,plain,
% 1.75/1.96 (until5(s82)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[876, 16333])).
% 1.75/1.96 tff(16335,plain,
% 1.75/1.96 (xuntil6(s82)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[11243, 16334])).
% 1.75/1.96 tff(16336,plain,
% 1.75/1.96 (until5(s83)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[847, 16335])).
% 1.75/1.96 tff(16337,plain,
% 1.75/1.96 (xuntil6(s83) | (~until5(s83))),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[838, 614, 14476])).
% 1.75/1.96 tff(16338,plain,
% 1.75/1.96 (xuntil6(s83)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16337, 16336])).
% 1.75/1.96 tff(16339,plain,
% 1.75/1.96 (until5(s84)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[818, 16338])).
% 1.75/1.96 tff(16340,plain,
% 1.75/1.96 (xuntil6(s85)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[11328, 16339, 16334])).
% 1.75/1.96 tff(16341,plain,
% 1.75/1.96 (until5(s86)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[759, 16340])).
% 1.75/1.96 tff(16342,plain,
% 1.75/1.96 (xuntil6(s87)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[11386, 16341])).
% 1.75/1.96 tff(16343,plain,
% 1.75/1.96 (until5(s88)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[705, 16342])).
% 1.75/1.96 tff(16344,assumption,(until5(s88)), introduced(assumption)).
% 1.75/1.96 tff(16345,plain,
% 1.75/1.96 (xuntil6(s88) | node4(s88)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[699, 614, 16344])).
% 1.75/1.96 tff(16346,plain,
% 1.75/1.96 (node4(s88)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16345, 10365])).
% 1.75/1.96 tff(16347,plain,
% 1.75/1.96 (m_main_v_request(s88)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[11405, 3141, 16346])).
% 1.75/1.96 tff(16348,plain,
% 1.75/1.96 (~m_main_v_state(s88, c_ready)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[11401, 16347, 11444])).
% 1.75/1.96 tff(16349,plain,
% 1.75/1.96 (always3(s88)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[10573, 10365])).
% 1.75/1.96 tff(16350,plain,
% 1.75/1.96 (~m_main_v_state(s88, c_busy)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[11345, 3154, 16349])).
% 1.75/1.96 tff(16351,plain,
% 1.75/1.96 ($false),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[11392, 19, 16350, 16348])).
% 1.75/1.96 tff(16352,plain,(xuntil6(s88) | m_main_v_state(s89, c_busy) | (~until5(s88))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.96 tff(16353,plain,
% 1.75/1.96 (m_main_v_state(s89, c_busy)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16352, 10365, 16344])).
% 1.75/1.96 tff(16354,plain,
% 1.75/1.96 (always3(s89)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[575, 16349])).
% 1.75/1.96 tff(16355,plain,
% 1.75/1.96 ($false),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[10625, 3154, 16354, 16353])).
% 1.75/1.96 tff(16356,plain,(xuntil6(s88) | (~until5(s88))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.96 tff(16357,plain,
% 1.75/1.96 (xuntil6(s88)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16356, 16343])).
% 1.75/1.96 tff(16358,plain,
% 1.75/1.96 (until5(s89)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[688, 16357])).
% 1.75/1.96 tff(16359,plain,
% 1.75/1.96 (xuntil6(s90)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[10631, 16358])).
% 1.75/1.96 tff(16360,plain,
% 1.75/1.96 (until5(s91)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[648, 16359])).
% 1.75/1.96 tff(16361,plain,
% 1.75/1.96 (always3(s92)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2889, 604])).
% 1.75/1.96 tff(16362,plain,
% 1.75/1.96 (always3(s93)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[526, 16361])).
% 1.75/1.96 tff(16363,plain,
% 1.75/1.96 (~m_main_v_state(s93, c_busy)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[3186, 3154, 16362])).
% 1.75/1.96 tff(16364,plain,
% 1.75/1.96 (~m_main_v_state(s92, c_busy)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[10332, 3154, 16361])).
% 1.75/1.96 tff(16365,plain,
% 1.75/1.96 (m_main_v_state(s92, c_ready)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[10640, 19, 16364])).
% 1.75/1.96 tff(16366,plain,
% 1.75/1.96 (~node4(s91)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[10361, 16364])).
% 1.75/1.96 tff(16367,assumption,(until5(s91)), introduced(assumption)).
% 1.75/1.96 tff(16368,plain,
% 1.75/1.96 (xuntil6(s91) | node4(s91)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[643, 614, 16367])).
% 1.75/1.96 tff(16369,plain,
% 1.75/1.96 (xuntil6(s91)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16368, 16366])).
% 1.75/1.96 tff(16370,plain,
% 1.75/1.96 (until5(s92)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[636, 16369])).
% 1.75/1.96 tff(16371,plain,
% 1.75/1.96 (node4(s92)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[621, 16370])).
% 1.75/1.96 tff(16372,plain,
% 1.75/1.96 (m_main_v_request(s92)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[10653, 3141, 16371])).
% 1.75/1.96 tff(16373,plain,
% 1.75/1.96 ($false),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[10649, 16372, 16365, 16363])).
% 1.75/1.96 tff(16374,plain,(xuntil6(s92) | (~until5(s91))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.96 tff(16375,plain,
% 1.75/1.96 (xuntil6(s92)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16374, 16360])).
% 1.75/1.96 tff(16376,plain,
% 1.75/1.96 (until5(s93)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[2894, 16375])).
% 1.75/1.96 tff(16377,plain,
% 1.75/1.96 (xuntil6(s98)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[9245, 16376])).
% 1.75/1.96 tff(16378,plain,
% 1.75/1.96 (until5(s99)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[3023, 16377])).
% 1.75/1.96 tff(16379,plain,
% 1.75/1.96 (xuntil6(s99) | node4(s99)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[3018, 16378])).
% 1.75/1.96 tff(16380,plain,
% 1.75/1.96 (xuntil6(s99)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[16379, 3009])).
% 1.75/1.96 tff(16381,plain,
% 1.75/1.96 (until2p7(s75)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[5097, 16380, 15218])).
% 1.75/1.96 tff(16382,plain,
% 1.75/1.96 (xuntil2p8(s75)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[14520, 16381])).
% 1.75/1.96 tff(16383,plain,
% 1.75/1.96 (until2p7(s76)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[3404, 16382])).
% 1.75/1.96 tff(16384,plain,
% 1.75/1.96 (xuntil2p8(s76)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[14516, 16383])).
% 1.75/1.96 tff(16385,plain,
% 1.75/1.96 (until2p7(s77)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[3392, 16384])).
% 1.75/1.96 tff(16386,plain,
% 1.75/1.96 (xuntil2p8(s77)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[14513, 16385])).
% 1.75/1.96 tff(16387,plain,
% 1.75/1.96 (until2p7(s78)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[3380, 16386])).
% 1.75/1.96 tff(16388,plain,
% 1.75/1.96 (xuntil2p8(s78)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[14507, 16387])).
% 1.75/1.96 tff(16389,plain,
% 1.75/1.96 (until2p7(s79)),
% 1.75/1.96 inference(unit_resolution,[status(thm)],[3368, 16388])).
% 1.75/1.97 tff(16390,plain,
% 1.75/1.97 (xuntil2p8(s79)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[14500, 16389])).
% 1.75/1.97 tff(16391,plain,
% 1.75/1.97 (until2p7(s80)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[3356, 16390])).
% 1.75/1.97 tff(16392,plain,
% 1.75/1.97 (xuntil2p8(s80)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[14493, 16391])).
% 1.75/1.97 tff(16393,plain,
% 1.75/1.97 (until2p7(s81)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[3344, 16392])).
% 1.75/1.97 tff(16394,plain,
% 1.75/1.97 (xuntil2p8(s81)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[14487, 16393])).
% 1.75/1.97 tff(16395,plain,
% 1.75/1.97 (until2p7(s82)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[3332, 16394])).
% 1.75/1.97 tff(16396,plain,
% 1.75/1.97 (xuntil2p8(s82)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[12640, 16395])).
% 1.75/1.97 tff(16397,plain,
% 1.75/1.97 (until2p7(s83)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[3320, 16396])).
% 1.75/1.97 tff(16398,plain,
% 1.75/1.97 (xuntil2p8(s83)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[14477, 16397])).
% 1.75/1.97 tff(16399,plain,
% 1.75/1.97 (until2p7(s84)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[3308, 16398])).
% 1.75/1.97 tff(16400,plain,
% 1.75/1.97 (xuntil2p8(s84)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[14473, 16399])).
% 1.75/1.97 tff(16401,plain,
% 1.75/1.97 (until2p7(s85)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[3296, 16400])).
% 1.75/1.97 tff(16402,plain,
% 1.75/1.97 (xuntil2p8(s85)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[14466, 16401])).
% 1.75/1.97 tff(16403,plain,
% 1.75/1.97 (until2p7(s86)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[3284, 16402])).
% 1.75/1.97 tff(16404,plain,
% 1.75/1.97 (xuntil2p8(s86)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[14459, 16403])).
% 1.75/1.97 tff(16405,plain,
% 1.75/1.97 ($false),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[3272, 16404, 13321])).
% 1.75/1.97 tff(16406,plain,(node4(s99) | trans(s99, s33) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s21) | trans(s99, s49) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | (~until5(s63))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.97 tff(16407,plain,
% 1.75/1.97 (node4(s99)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16406, 8441, 8429, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 8419, 8408, 8407, 8396, 8395, 8384, 8383, 8382, 8371, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 8349, 8338, 8337, 8323, 8312, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8293, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8271, 8260, 8259, 8244, 8229, 8228, 8227, 8226])).
% 1.75/1.97 tff(16408,plain,
% 1.75/1.97 (m_main_v_request(s99)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[11422, 16407])).
% 1.75/1.97 tff(16409,plain,
% 1.75/1.97 ((~node2(s99, s92)) | (~m_main_v_request(s99))),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[10779, 13283])).
% 1.75/1.97 tff(16410,plain,
% 1.75/1.97 (~node2(s99, s92)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16409, 16408])).
% 1.75/1.97 tff(16411,plain,
% 1.75/1.97 (~trans(s99, s92)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[10786, 16410])).
% 1.75/1.97 tff(16412,plain,
% 1.75/1.97 ((~node2(s99, s96)) | (~m_main_v_request(s99))),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[10868, 13259])).
% 1.75/1.97 tff(16413,plain,
% 1.75/1.97 (~node2(s99, s96)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16412, 16408])).
% 1.75/1.97 tff(16414,plain,
% 1.75/1.97 (~trans(s99, s96)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[10872, 16413])).
% 1.75/1.97 tff(16415,plain,
% 1.75/1.97 (always3(s72)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[8787, 5111])).
% 1.75/1.97 tff(16416,assumption,(~node2(s99, s72)), introduced(assumption)).
% 1.75/1.97 tff(16417,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s72)) | node2(s99, s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s72)) | node2(s99, s72))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16418,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s72)) | node2(s99, s72))),
% 1.75/1.97 inference(quant_inst,[status(thm)],[])).
% 1.75/1.97 tff(16419,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s72)) | node2(s99, s72)),
% 1.75/1.97 inference(modus_ponens,[status(thm)],[16418, 16417])).
% 1.75/1.97 tff(16420,plain,
% 1.75/1.97 ($false),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16419, 5111, 7, 16416])).
% 1.75/1.97 tff(16421,plain,((~trans(s99, s72)) | node2(s99, s72)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.97 tff(16422,plain,
% 1.75/1.97 (node2(s99, s72)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16421, 5111])).
% 1.75/1.97 tff(16423,assumption,(node2(s99, s72)), introduced(assumption)).
% 1.75/1.97 tff(16424,assumption,(always3(s72)), introduced(assumption)).
% 1.75/1.97 tff(16425,plain,
% 1.75/1.97 (~m_main_v_state(s72, c_busy)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[14162, 3154, 16424])).
% 1.75/1.97 tff(16426,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s72, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s72)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s72, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s72)))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16427,plain,
% 1.75/1.97 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s72)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s72, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s72)))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16428,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s72)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s72, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s72))))),
% 1.75/1.97 inference(monotonicity,[status(thm)],[16427])).
% 1.75/1.97 tff(16429,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s72)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s72, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s72)))),
% 1.75/1.97 inference(transitivity,[status(thm)],[16428, 16426])).
% 1.75/1.97 tff(16430,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s72)) | m_main_v_state(s72, c_busy) | (~m_main_v_request(s99)))),
% 1.75/1.97 inference(quant_inst,[status(thm)],[])).
% 1.75/1.97 tff(16431,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s72, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s72))),
% 1.75/1.97 inference(modus_ponens,[status(thm)],[16430, 16429])).
% 1.75/1.97 tff(16432,plain,
% 1.75/1.97 ($false),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16431, 3175, 16425, 10756, 9290, 16423])).
% 1.75/1.97 tff(16433,plain,((~node2(s99, s72)) | (~m_main_v_request(s99)) | (~always3(s72))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.97 tff(16434,plain,
% 1.75/1.97 ($false),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16433, 16422, 16415, 9290])).
% 1.75/1.97 tff(16435,plain,((~trans(s99, s72)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.97 tff(16436,plain,
% 1.75/1.97 (~trans(s99, s72)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16435, 16408])).
% 1.75/1.97 tff(16437,plain,
% 1.75/1.97 (~trans(s99, s93)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[13153, 16408])).
% 1.75/1.97 tff(16438,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s71)) | node2(s99, s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s71)) | node2(s99, s71))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16439,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s71)) | node2(s99, s71))),
% 1.75/1.97 inference(quant_inst,[status(thm)],[])).
% 1.75/1.97 tff(16440,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s71)) | node2(s99, s71)),
% 1.75/1.97 inference(modus_ponens,[status(thm)],[16439, 16438])).
% 1.75/1.97 tff(16441,plain,
% 1.75/1.97 (node2(s99, s71)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16440, 5212, 7])).
% 1.75/1.97 tff(16442,plain,
% 1.75/1.97 (always3(s71)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[8805, 5212])).
% 1.75/1.97 tff(16443,plain,
% 1.75/1.97 (~m_main_v_state(s71, c_busy)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[14185, 3154, 16442])).
% 1.75/1.97 tff(16444,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s71, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s71)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s71, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s71)))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16445,plain,
% 1.75/1.97 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s71)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s71, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s71)))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16446,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s71)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s71, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s71))))),
% 1.75/1.97 inference(monotonicity,[status(thm)],[16445])).
% 1.75/1.97 tff(16447,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s71)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s71, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s71)))),
% 1.75/1.97 inference(transitivity,[status(thm)],[16446, 16444])).
% 1.75/1.97 tff(16448,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s71)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s99)))),
% 1.75/1.97 inference(quant_inst,[status(thm)],[])).
% 1.75/1.97 tff(16449,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s71, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s71))),
% 1.75/1.97 inference(modus_ponens,[status(thm)],[16448, 16447])).
% 1.75/1.97 tff(16450,plain,
% 1.75/1.97 ($false),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16449, 3175, 16443, 10756, 9290, 16441])).
% 1.75/1.97 tff(16451,plain,((~trans(s99, s71)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.97 tff(16452,plain,
% 1.75/1.97 (~trans(s99, s71)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16451, 16408])).
% 1.75/1.97 tff(16453,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s75)) | node2(s99, s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s75)) | node2(s99, s75))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16454,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s75)) | node2(s99, s75))),
% 1.75/1.97 inference(quant_inst,[status(thm)],[])).
% 1.75/1.97 tff(16455,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s75)) | node2(s99, s75)),
% 1.75/1.97 inference(modus_ponens,[status(thm)],[16454, 16453])).
% 1.75/1.97 tff(16456,plain,
% 1.75/1.97 (node2(s99, s75)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16455, 5089, 7])).
% 1.75/1.97 tff(16457,plain,
% 1.75/1.97 (always3(s75)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[8775, 5089])).
% 1.75/1.97 tff(16458,plain,
% 1.75/1.97 (~m_main_v_state(s75, c_busy)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[8901, 3154, 16457])).
% 1.75/1.97 tff(16459,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s75, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s75)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s75, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s75)))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16460,plain,
% 1.75/1.97 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s75)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s75, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s75)))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16461,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s75)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s75, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s75))))),
% 1.75/1.97 inference(monotonicity,[status(thm)],[16460])).
% 1.75/1.97 tff(16462,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s75)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s75, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s75)))),
% 1.75/1.97 inference(transitivity,[status(thm)],[16461, 16459])).
% 1.75/1.97 tff(16463,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s75)) | m_main_v_state(s75, c_busy) | (~m_main_v_request(s99)))),
% 1.75/1.97 inference(quant_inst,[status(thm)],[])).
% 1.75/1.97 tff(16464,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s75, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s75))),
% 1.75/1.97 inference(modus_ponens,[status(thm)],[16463, 16462])).
% 1.75/1.97 tff(16465,plain,
% 1.75/1.97 ($false),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16464, 3175, 16458, 10756, 9290, 16456])).
% 1.75/1.97 tff(16466,plain,((~trans(s99, s75)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.97 tff(16467,plain,
% 1.75/1.97 (~trans(s99, s75)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16466, 16408])).
% 1.75/1.97 tff(16468,plain,
% 1.75/1.97 (~trans(s99, s78)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[12824, 16408])).
% 1.75/1.97 tff(16469,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s69)) | node2(s99, s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s69)) | node2(s99, s69))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16470,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s69)) | node2(s99, s69))),
% 1.75/1.97 inference(quant_inst,[status(thm)],[])).
% 1.75/1.97 tff(16471,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s69)) | node2(s99, s69)),
% 1.75/1.97 inference(modus_ponens,[status(thm)],[16470, 16469])).
% 1.75/1.97 tff(16472,plain,
% 1.75/1.97 (node2(s99, s69)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16471, 4935, 7])).
% 1.75/1.97 tff(16473,plain,
% 1.75/1.97 (always3(s69)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[8733, 4935])).
% 1.75/1.97 tff(16474,plain,
% 1.75/1.97 (~m_main_v_state(s69, c_busy)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[13999, 3154, 16473])).
% 1.75/1.97 tff(16475,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s69, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s69)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s69, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s69)))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16476,plain,
% 1.75/1.97 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s69)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s69, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s69)))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16477,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s69)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s69, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s69))))),
% 1.75/1.97 inference(monotonicity,[status(thm)],[16476])).
% 1.75/1.97 tff(16478,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s69)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s69, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s69)))),
% 1.75/1.97 inference(transitivity,[status(thm)],[16477, 16475])).
% 1.75/1.97 tff(16479,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s69)) | m_main_v_state(s69, c_busy) | (~m_main_v_request(s99)))),
% 1.75/1.97 inference(quant_inst,[status(thm)],[])).
% 1.75/1.97 tff(16480,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s69, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s69))),
% 1.75/1.97 inference(modus_ponens,[status(thm)],[16479, 16478])).
% 1.75/1.97 tff(16481,plain,
% 1.75/1.97 ($false),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16480, 3175, 16474, 10756, 9290, 16472])).
% 1.75/1.97 tff(16482,plain,((~trans(s99, s69)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.97 tff(16483,plain,
% 1.75/1.97 (~trans(s99, s69)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16482, 16408])).
% 1.75/1.97 tff(16484,plain,
% 1.75/1.97 (~trans(s99, s95)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[10768, 16408])).
% 1.75/1.97 tff(16485,plain,
% 1.75/1.97 (~trans(s99, s97)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[10766, 16408])).
% 1.75/1.97 tff(16486,plain,
% 1.75/1.97 (~trans(s99, s86)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[11437, 16408])).
% 1.75/1.97 tff(16487,plain,
% 1.75/1.97 (~trans(s99, s81)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[12840, 16408])).
% 1.75/1.97 tff(16488,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s68)) | node2(s99, s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s68)) | node2(s99, s68))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16489,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s68)) | node2(s99, s68))),
% 1.75/1.97 inference(quant_inst,[status(thm)],[])).
% 1.75/1.97 tff(16490,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s68)) | node2(s99, s68)),
% 1.75/1.97 inference(modus_ponens,[status(thm)],[16489, 16488])).
% 1.75/1.97 tff(16491,plain,
% 1.75/1.97 (node2(s99, s68)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16490, 5067, 7])).
% 1.75/1.97 tff(16492,plain,
% 1.75/1.97 (always3(s68)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[8763, 5067])).
% 1.75/1.97 tff(16493,plain,
% 1.75/1.97 (~m_main_v_state(s68, c_busy)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[14798, 3154, 16492])).
% 1.75/1.97 tff(16494,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s68, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s68)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s68, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s68)))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16495,plain,
% 1.75/1.97 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s68)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s68, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s68)))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16496,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s68)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s68, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s68))))),
% 1.75/1.97 inference(monotonicity,[status(thm)],[16495])).
% 1.75/1.97 tff(16497,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s68)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s68, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s68)))),
% 1.75/1.97 inference(transitivity,[status(thm)],[16496, 16494])).
% 1.75/1.97 tff(16498,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s68)) | m_main_v_state(s68, c_busy) | (~m_main_v_request(s99)))),
% 1.75/1.97 inference(quant_inst,[status(thm)],[])).
% 1.75/1.97 tff(16499,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s68, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s68))),
% 1.75/1.97 inference(modus_ponens,[status(thm)],[16498, 16497])).
% 1.75/1.97 tff(16500,plain,
% 1.75/1.97 ($false),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16499, 3175, 16493, 10756, 9290, 16491])).
% 1.75/1.97 tff(16501,plain,((~trans(s99, s68)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.97 tff(16502,plain,
% 1.75/1.97 (~trans(s99, s68)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16501, 16408])).
% 1.75/1.97 tff(16503,plain,
% 1.75/1.97 (~trans(s99, s88)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[13149, 16408])).
% 1.75/1.97 tff(16504,plain,
% 1.75/1.97 (~trans(s99, s65)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[8749, 6486])).
% 1.75/1.97 tff(16505,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s66)) | node2(s99, s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s66)) | node2(s99, s66))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16506,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s66)) | node2(s99, s66))),
% 1.75/1.97 inference(quant_inst,[status(thm)],[])).
% 1.75/1.97 tff(16507,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s66)) | node2(s99, s66)),
% 1.75/1.97 inference(modus_ponens,[status(thm)],[16506, 16505])).
% 1.75/1.97 tff(16508,plain,
% 1.75/1.97 (node2(s99, s66)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16507, 5223, 7])).
% 1.75/1.97 tff(16509,plain,
% 1.75/1.97 (always3(s66)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[8816, 5223])).
% 1.75/1.97 tff(16510,plain,
% 1.75/1.97 (~m_main_v_state(s66, c_busy)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[13534, 3154, 16509])).
% 1.75/1.97 tff(16511,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s66, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s66)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s66, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s66)))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16512,plain,
% 1.75/1.97 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s66)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s66, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s66)))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16513,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s66)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s66, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s66))))),
% 1.75/1.97 inference(monotonicity,[status(thm)],[16512])).
% 1.75/1.97 tff(16514,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s66)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s66, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s66)))),
% 1.75/1.97 inference(transitivity,[status(thm)],[16513, 16511])).
% 1.75/1.97 tff(16515,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s66)) | m_main_v_state(s66, c_busy) | (~m_main_v_request(s99)))),
% 1.75/1.97 inference(quant_inst,[status(thm)],[])).
% 1.75/1.97 tff(16516,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s66, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s66))),
% 1.75/1.97 inference(modus_ponens,[status(thm)],[16515, 16514])).
% 1.75/1.97 tff(16517,plain,
% 1.75/1.97 ($false),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16516, 3175, 16510, 10756, 9290, 16508])).
% 1.75/1.97 tff(16518,plain,((~trans(s99, s66)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.97 tff(16519,plain,
% 1.75/1.97 (~trans(s99, s66)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16518, 16408])).
% 1.75/1.97 tff(16520,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s67)) | node2(s99, s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s67)) | node2(s99, s67))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16521,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s67)) | node2(s99, s67))),
% 1.75/1.97 inference(quant_inst,[status(thm)],[])).
% 1.75/1.97 tff(16522,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s67)) | node2(s99, s67)),
% 1.75/1.97 inference(modus_ponens,[status(thm)],[16521, 16520])).
% 1.75/1.97 tff(16523,plain,
% 1.75/1.97 (node2(s99, s67)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16522, 4415, 7])).
% 1.75/1.97 tff(16524,plain,
% 1.75/1.97 (always3(s67)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[8660, 4415])).
% 1.75/1.97 tff(16525,plain,
% 1.75/1.97 (~m_main_v_state(s67, c_busy)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[13575, 3154, 16524])).
% 1.75/1.97 tff(16526,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s67, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s67)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s67, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s67)))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16527,plain,
% 1.75/1.97 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s67)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s67, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s67)))),
% 1.75/1.97 inference(rewrite,[status(thm)],[])).
% 1.75/1.97 tff(16528,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s67)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s67, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s67))))),
% 1.75/1.97 inference(monotonicity,[status(thm)],[16527])).
% 1.75/1.97 tff(16529,plain,
% 1.75/1.97 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s67)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s67, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s67)))),
% 1.75/1.97 inference(transitivity,[status(thm)],[16528, 16526])).
% 1.75/1.97 tff(16530,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s67)) | m_main_v_state(s67, c_busy) | (~m_main_v_request(s99)))),
% 1.75/1.97 inference(quant_inst,[status(thm)],[])).
% 1.75/1.97 tff(16531,plain,
% 1.75/1.97 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s67, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s67))),
% 1.75/1.97 inference(modus_ponens,[status(thm)],[16530, 16529])).
% 1.75/1.97 tff(16532,plain,
% 1.75/1.97 ($false),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16531, 3175, 16525, 10756, 9290, 16523])).
% 1.75/1.97 tff(16533,plain,((~trans(s99, s67)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.97 tff(16534,plain,
% 1.75/1.97 (~trans(s99, s67)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16533, 16408])).
% 1.75/1.97 tff(16535,plain,
% 1.75/1.97 (~trans(s99, s87)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[11566, 16408])).
% 1.75/1.97 tff(16536,assumption,(node2(s99, s77)), introduced(assumption)).
% 1.75/1.97 tff(16537,plain,
% 1.75/1.97 ($false),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[12949, 3175, 14415, 10756, 9290, 16536])).
% 1.75/1.97 tff(16538,plain,((~node2(s99, s77)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.97 tff(16539,plain,
% 1.75/1.97 (~node2(s99, s77)),
% 1.75/1.97 inference(unit_resolution,[status(thm)],[16538, 16408])).
% 1.75/1.98 tff(16540,plain,
% 1.75/1.98 (~trans(s99, s77)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[12940, 7, 16539])).
% 1.75/1.98 tff(16541,plain,
% 1.75/1.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s70)) | node2(s99, s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s70)) | node2(s99, s70))),
% 1.75/1.98 inference(rewrite,[status(thm)],[])).
% 1.75/1.98 tff(16542,plain,
% 1.75/1.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s70)) | node2(s99, s70))),
% 1.75/1.98 inference(quant_inst,[status(thm)],[])).
% 1.75/1.98 tff(16543,plain,
% 1.75/1.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s70)) | node2(s99, s70)),
% 1.75/1.98 inference(modus_ponens,[status(thm)],[16542, 16541])).
% 1.75/1.98 tff(16544,plain,
% 1.75/1.98 (node2(s99, s70)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[16543, 5410, 7])).
% 1.75/1.98 tff(16545,plain,
% 1.75/1.98 (always3(s70)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[8842, 5410])).
% 1.75/1.98 tff(16546,plain,
% 1.75/1.98 (~m_main_v_state(s70, c_busy)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[13976, 3154, 16545])).
% 1.75/1.98 tff(16547,plain,
% 1.75/1.98 (((~![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(s70, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s70)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s70, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s70)))),
% 1.75/1.98 inference(rewrite,[status(thm)],[])).
% 1.75/1.98 tff(16548,plain,
% 1.75/1.98 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s70)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s70, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s70)))),
% 1.75/1.98 inference(rewrite,[status(thm)],[])).
% 1.75/1.98 tff(16549,plain,
% 1.75/1.98 (((~![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(s99, c_ready)) | (~node2(s99, s70)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s70, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s70))))),
% 1.75/1.98 inference(monotonicity,[status(thm)],[16548])).
% 1.75/1.98 tff(16550,plain,
% 1.75/1.98 (((~![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(s99, c_ready)) | (~node2(s99, s70)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s70, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s70)))),
% 1.75/1.98 inference(transitivity,[status(thm)],[16549, 16547])).
% 1.75/1.98 tff(16551,plain,
% 1.75/1.98 ((~![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(s99, c_ready)) | (~node2(s99, s70)) | m_main_v_state(s70, c_busy) | (~m_main_v_request(s99)))),
% 1.75/1.98 inference(quant_inst,[status(thm)],[])).
% 1.75/1.98 tff(16552,plain,
% 1.75/1.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s70, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s70))),
% 1.75/1.98 inference(modus_ponens,[status(thm)],[16551, 16550])).
% 1.75/1.98 tff(16553,plain,
% 1.75/1.98 ($false),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[16552, 3175, 16546, 10756, 9290, 16544])).
% 1.75/1.98 tff(16554,plain,((~trans(s99, s70)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.98 tff(16555,plain,
% 1.75/1.98 (~trans(s99, s70)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[16554, 16408])).
% 1.75/1.98 tff(16556,plain,
% 1.75/1.98 (~trans(s99, s82)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[12877, 16408])).
% 1.75/1.98 tff(16557,assumption,(node2(s99, s76)), introduced(assumption)).
% 1.75/1.98 tff(16558,plain,
% 1.75/1.98 (~m_main_v_state(s76, c_busy)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[8885, 3154, 13222])).
% 1.75/1.98 tff(16559,plain,
% 1.75/1.98 (((~![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(s76, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s76)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s76, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s76)))),
% 1.75/1.98 inference(rewrite,[status(thm)],[])).
% 1.75/1.98 tff(16560,plain,
% 1.75/1.98 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s76)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s76, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s76)))),
% 1.75/1.98 inference(rewrite,[status(thm)],[])).
% 1.75/1.98 tff(16561,plain,
% 1.75/1.98 (((~![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(s99, c_ready)) | (~node2(s99, s76)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s76, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s76))))),
% 1.75/1.98 inference(monotonicity,[status(thm)],[16560])).
% 1.75/1.98 tff(16562,plain,
% 1.75/1.98 (((~![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(s99, c_ready)) | (~node2(s99, s76)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s76, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s76)))),
% 1.75/1.98 inference(transitivity,[status(thm)],[16561, 16559])).
% 1.75/1.98 tff(16563,plain,
% 1.75/1.98 ((~![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(s99, c_ready)) | (~node2(s99, s76)) | m_main_v_state(s76, c_busy) | (~m_main_v_request(s99)))),
% 1.75/1.98 inference(quant_inst,[status(thm)],[])).
% 1.75/1.98 tff(16564,plain,
% 1.75/1.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s76, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s76))),
% 1.75/1.98 inference(modus_ponens,[status(thm)],[16563, 16562])).
% 1.75/1.98 tff(16565,plain,
% 1.75/1.98 ($false),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[16564, 3175, 16558, 10756, 9290, 16557])).
% 1.75/1.98 tff(16566,plain,((~node2(s99, s76)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.75/1.98 tff(16567,plain,
% 1.75/1.98 (~node2(s99, s76)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[16566, 16408])).
% 1.75/1.98 tff(16568,assumption,(~node2(s99, s76)), introduced(assumption)).
% 1.75/1.98 tff(16569,plain,
% 1.75/1.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s76)) | node2(s99, s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s76)) | node2(s99, s76))),
% 1.75/1.98 inference(rewrite,[status(thm)],[])).
% 1.75/1.98 tff(16570,plain,
% 1.75/1.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s76)) | node2(s99, s76))),
% 1.75/1.98 inference(quant_inst,[status(thm)],[])).
% 1.75/1.98 tff(16571,plain,
% 1.75/1.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s76)) | node2(s99, s76)),
% 1.75/1.98 inference(modus_ponens,[status(thm)],[16570, 16569])).
% 1.75/1.98 tff(16572,plain,
% 1.75/1.98 ($false),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[16571, 4704, 7, 16568])).
% 1.75/1.98 tff(16573,plain,((~trans(s99, s76)) | node2(s99, s76)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.98 tff(16574,plain,
% 1.75/1.98 (~trans(s99, s76)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[16573, 16567])).
% 1.75/1.98 tff(16575,plain,
% 1.75/1.98 (~trans(s99, s63)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[8855, 6488])).
% 1.75/1.98 tff(16576,plain,
% 1.75/1.98 (~trans(s99, s64)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[8866, 6487])).
% 1.75/1.98 tff(16577,plain,
% 1.75/1.98 (~trans(s99, s80)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[12892, 16408])).
% 1.75/1.98 tff(16578,plain,
% 1.75/1.98 (~trans(s99, s94)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[13134, 16408])).
% 1.75/1.98 tff(16579,plain,
% 1.75/1.98 (~trans(s99, s98)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[13139, 16408])).
% 1.75/1.98 tff(16580,plain,
% 1.75/1.98 (~trans(s99, s79)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[12917, 16408])).
% 1.75/1.98 tff(16581,plain,
% 1.75/1.98 (~trans(s99, s83)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[13144, 16408])).
% 1.75/1.98 tff(16582,plain,
% 1.75/1.98 (~node2(s99, s99)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[10789, 16408])).
% 1.75/1.98 tff(16583,plain,
% 1.75/1.98 (~trans(s99, s99)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[10302, 16582])).
% 1.75/1.98 tff(16584,assumption,(~node2(s99, s73)), introduced(assumption)).
% 1.75/1.98 tff(16585,plain,
% 1.75/1.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s73)) | node2(s99, s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s73)) | node2(s99, s73))),
% 1.75/1.98 inference(rewrite,[status(thm)],[])).
% 1.75/1.98 tff(16586,plain,
% 1.75/1.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s73)) | node2(s99, s73))),
% 1.75/1.98 inference(quant_inst,[status(thm)],[])).
% 1.75/1.98 tff(16587,plain,
% 1.75/1.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s73)) | node2(s99, s73)),
% 1.75/1.98 inference(modus_ponens,[status(thm)],[16586, 16585])).
% 1.75/1.98 tff(16588,plain,
% 1.75/1.98 ($false),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[16587, 4770, 7, 16584])).
% 1.75/1.98 tff(16589,plain,((~trans(s99, s73)) | node2(s99, s73)), inference(lemma,lemma(discharge,[]))).
% 1.75/1.98 tff(16590,plain,
% 1.75/1.98 (node2(s99, s73)),
% 1.75/1.98 inference(unit_resolution,[status(thm)],[16589, 4770])).
% 1.75/1.98 tff(16591,assumption,(node2(s99, s73)), introduced(assumption)).
% 1.75/1.98 tff(16592,assumption,(~m_main_v_state(s73, c_busy)), introduced(assumption)).
% 1.75/1.98 tff(16593,plain,
% 1.75/1.98 (((~![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(s73, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s73)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s73, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s73)))),
% 1.75/1.98 inference(rewrite,[status(thm)],[])).
% 1.75/1.98 tff(16594,plain,
% 1.75/1.98 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s73)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s73, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s73)))),
% 1.75/1.98 inference(rewrite,[status(thm)],[])).
% 1.75/1.98 tff(16595,plain,
% 1.75/1.98 (((~![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(s99, c_ready)) | (~node2(s99, s73)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s73, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s73))))),
% 1.75/1.98 inference(monotonicity,[status(thm)],[16594])).
% 1.75/1.98 tff(16596,plain,
% 1.75/1.98 (((~![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(s99, c_ready)) | (~node2(s99, s73)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s73, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s73)))),
% 1.75/1.98 inference(transitivity,[status(thm)],[16595, 16593])).
% 1.75/1.98 tff(16597,plain,
% 1.75/1.98 ((~![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(s99, c_ready)) | (~node2(s99, s73)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s99)))),
% 1.82/1.98 inference(quant_inst,[status(thm)],[])).
% 1.82/1.98 tff(16598,plain,
% 1.82/1.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s73, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s73))),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[16597, 16596])).
% 1.82/1.98 tff(16599,plain,
% 1.82/1.98 ($false),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16598, 3175, 16592, 10756, 9290, 16591])).
% 1.82/1.98 tff(16600,plain,((~node2(s99, s73)) | m_main_v_state(s73, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/1.98 tff(16601,plain,
% 1.82/1.98 (m_main_v_state(s73, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16600, 16590, 9290])).
% 1.82/1.98 tff(16602,plain,
% 1.82/1.98 (always3(s73)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[8714, 4770])).
% 1.82/1.98 tff(16603,plain,
% 1.82/1.98 ($false),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14350, 3154, 16602, 16601])).
% 1.82/1.98 tff(16604,plain,((~trans(s99, s73)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/1.98 tff(16605,plain,
% 1.82/1.98 (~trans(s99, s73)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16604, 16408])).
% 1.82/1.98 tff(16606,plain,
% 1.82/1.98 ((~m_main_v_request(s99)) | trans(s99, s9) | trans(s99, s98) | trans(s99, s99) | trans(s99, s94) | trans(s99, s82) | trans(s99, s33) | trans(s99, s93) | trans(s99, s46) | trans(s99, s96) | trans(s99, s6) | trans(s99, s79) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s87) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s88) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s83) | trans(s99, s36) | trans(s99, s81) | trans(s99, s86) | trans(s99, s97) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s95) | trans(s99, s34) | trans(s99, s80) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s77) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s92) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[12936, 14469, 14462, 13302, 13295, 13294])).
% 1.82/1.98 tff(16607,plain,
% 1.82/1.98 (trans(s99, s74)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16606, 16605, 16408, 16583, 16581, 16580, 16579, 8429, 16578, 8424, 16577, 8425, 16576, 16575, 8427, 8441, 16574, 8426, 8422, 8421, 16556, 8420, 8419, 8408, 8407, 8396, 8395, 8423, 8383, 8382, 8371, 8360, 8359, 16555, 16540, 8358, 8357, 8356, 8355, 8354, 16535, 16534, 8353, 8384, 8352, 16519, 8351, 8350, 8349, 16504, 8338, 16503, 8337, 8323, 8312, 8302, 8301, 16502, 8300, 16487, 16486, 16485, 8299, 8298, 8297, 16484, 8296, 8428, 8295, 8294, 8293, 16483, 8281, 8280, 8279, 8278, 16468, 16467, 8277, 8276, 8275, 8274, 16452, 16437, 8273, 16436, 8272, 8271, 8260, 8259, 8244, 8229, 8228, 8227, 16414, 16411])).
% 1.82/1.98 tff(16608,assumption,(~node2(s99, s74)), introduced(assumption)).
% 1.82/1.98 tff(16609,plain,
% 1.82/1.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s74)) | node2(s99, s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s74)) | node2(s99, s74))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(16610,plain,
% 1.82/1.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s74)) | node2(s99, s74))),
% 1.82/1.98 inference(quant_inst,[status(thm)],[])).
% 1.82/1.98 tff(16611,plain,
% 1.82/1.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s74)) | node2(s99, s74)),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[16610, 16609])).
% 1.82/1.98 tff(16612,plain,
% 1.82/1.98 ($false),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16611, 5553, 7, 16608])).
% 1.82/1.98 tff(16613,plain,((~trans(s99, s74)) | node2(s99, s74)), inference(lemma,lemma(discharge,[]))).
% 1.82/1.98 tff(16614,plain,
% 1.82/1.98 (node2(s99, s74)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16613, 16607])).
% 1.82/1.98 tff(16615,assumption,(node2(s99, s74)), introduced(assumption)).
% 1.82/1.98 tff(16616,plain,
% 1.82/1.98 (((~![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(s74, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s74)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s74, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s74)))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(16617,plain,
% 1.82/1.98 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s74)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s74, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s74)))),
% 1.82/1.98 inference(rewrite,[status(thm)],[])).
% 1.82/1.98 tff(16618,plain,
% 1.82/1.98 (((~![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(s99, c_ready)) | (~node2(s99, s74)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s74, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s74))))),
% 1.82/1.98 inference(monotonicity,[status(thm)],[16617])).
% 1.82/1.98 tff(16619,plain,
% 1.82/1.98 (((~![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(s99, c_ready)) | (~node2(s99, s74)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s74, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s74)))),
% 1.82/1.98 inference(transitivity,[status(thm)],[16618, 16616])).
% 1.82/1.98 tff(16620,plain,
% 1.82/1.98 ((~![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(s99, c_ready)) | (~node2(s99, s74)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s99)))),
% 1.82/1.98 inference(quant_inst,[status(thm)],[])).
% 1.82/1.98 tff(16621,plain,
% 1.82/1.98 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s74, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s74))),
% 1.82/1.98 inference(modus_ponens,[status(thm)],[16620, 16619])).
% 1.82/1.98 tff(16622,plain,
% 1.82/1.98 ($false),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16621, 3175, 14352, 10756, 9290, 16615])).
% 1.82/1.98 tff(16623,plain,((~node2(s99, s74)) | m_main_v_state(s74, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/1.98 tff(16624,plain,
% 1.82/1.98 (m_main_v_state(s74, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16623, 16614, 16408])).
% 1.82/1.98 tff(16625,plain,
% 1.82/1.98 (always3(s74)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[8672, 16607])).
% 1.82/1.98 tff(16626,plain,
% 1.82/1.98 ($false),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14327, 3154, 16625, 16624])).
% 1.82/1.98 tff(16627,plain,(always3(s65) | trans(s99, s46) | trans(s99, s6) | trans(s99, s33) | trans(s99, s31) | trans(s99, s21) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s7) | trans(s99, s17) | trans(s99, s16) | trans(s99, s32) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s14) | trans(s99, s26) | trans(s99, s45) | trans(s99, s18) | trans(s99, s12) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s9) | trans(s99, s28) | trans(s99, s22) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s19) | trans(s99, s41) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15)), inference(lemma,lemma(discharge,[]))).
% 1.82/1.98 tff(16628,plain,
% 1.82/1.98 (always3(s65)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16627, 6485, 6474, 6463, 6452, 6441, 6430, 6419, 6408, 6397, 6386, 6375, 6364, 6353, 6342, 6331, 6320, 6309, 6296, 6285, 6274, 6263, 6252, 6241, 6230, 6219, 6208, 6197, 6186, 6175, 6164, 6153, 6142, 6132, 6121, 6110, 6099, 6088, 6077, 6066, 6055, 6044, 6033, 6009, 5998, 5987, 5976, 5965, 5954, 5944])).
% 1.82/1.98 tff(16629,plain,
% 1.82/1.98 (always3(s66)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1349, 16628])).
% 1.82/1.98 tff(16630,plain,
% 1.82/1.98 (~m_main_v_state(s66, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[13534, 3154, 16629])).
% 1.82/1.98 tff(16631,plain,
% 1.82/1.98 (~m_main_v_request(s65)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[13550, 16630, 25])).
% 1.82/1.98 tff(16632,plain,
% 1.82/1.98 (~node4(s65)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[13541, 3141, 16631])).
% 1.82/1.98 tff(16633,plain,
% 1.82/1.98 (~node4(s64)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[15075, 8])).
% 1.82/1.98 tff(16634,plain,
% 1.82/1.98 (always3(s65)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16627, 8429, 8424, 8425, 8427, 8426, 8422, 8421, 8420, 8408, 8396, 8423, 8383, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8384, 8352, 8351, 8350, 8338, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8428, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8260, 8229, 8228, 8227])).
% 1.82/1.98 tff(16635,plain,
% 1.82/1.98 (always3(s66)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1349, 16634])).
% 1.82/1.98 tff(16636,plain,
% 1.82/1.98 (always3(s67)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1320, 16635])).
% 1.82/1.98 tff(16637,plain,
% 1.82/1.98 (always3(s68)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1291, 16636])).
% 1.82/1.98 tff(16638,plain,
% 1.82/1.98 (always3(s69)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1262, 16637])).
% 1.82/1.98 tff(16639,plain,
% 1.82/1.98 (always3(s70)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1233, 16638])).
% 1.82/1.98 tff(16640,plain,
% 1.82/1.98 (always3(s71)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1204, 16639])).
% 1.82/1.98 tff(16641,plain,
% 1.82/1.98 (always3(s72)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1175, 16640])).
% 1.82/1.98 tff(16642,plain,
% 1.82/1.98 (always3(s73)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1146, 16641])).
% 1.82/1.98 tff(16643,plain,
% 1.82/1.98 (always3(s74)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1117, 16642])).
% 1.82/1.98 tff(16644,plain,
% 1.82/1.98 (always3(s75)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1088, 16643])).
% 1.82/1.98 tff(16645,plain,
% 1.82/1.98 (~m_main_v_state(s75, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[8901, 3154, 16644])).
% 1.82/1.98 tff(16646,plain,
% 1.82/1.98 (~m_main_v_state(s74, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14327, 3154, 16643])).
% 1.82/1.98 tff(16647,plain,
% 1.82/1.98 (m_main_v_state(s74, c_ready)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14331, 19, 16646])).
% 1.82/1.98 tff(16648,plain,
% 1.82/1.98 (~m_main_v_request(s74)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14407, 16647, 16645])).
% 1.82/1.98 tff(16649,plain,
% 1.82/1.98 (~node4(s74)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14398, 3141, 16648])).
% 1.82/1.98 tff(16650,plain,
% 1.82/1.98 (xuntil2p8(s74) | (~until2p7(s74))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3422, 3051, 16649])).
% 1.82/1.98 tff(16651,plain,
% 1.82/1.98 (~until2p7(s74)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16650, 14522])).
% 1.82/1.98 tff(16652,plain,
% 1.82/1.98 (~xuntil2p8(s73)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3428, 16651])).
% 1.82/1.98 tff(16653,plain,
% 1.82/1.98 (~m_main_v_state(s73, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14350, 3154, 16642])).
% 1.82/1.98 tff(16654,plain,
% 1.82/1.98 (m_main_v_state(s73, c_ready)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14355, 19, 16653])).
% 1.82/1.98 tff(16655,plain,
% 1.82/1.98 (~m_main_v_request(s73)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14364, 16654, 16646])).
% 1.82/1.98 tff(16656,plain,
% 1.82/1.98 (~node4(s73)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14368, 3141, 16655])).
% 1.82/1.98 tff(16657,plain,
% 1.82/1.98 (xuntil2p8(s73) | (~until2p7(s73))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3434, 3051, 16656])).
% 1.82/1.98 tff(16658,plain,
% 1.82/1.98 (~until2p7(s73)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16657, 16652])).
% 1.82/1.98 tff(16659,plain,
% 1.82/1.98 (~xuntil2p8(s72)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3440, 16658])).
% 1.82/1.98 tff(16660,plain,
% 1.82/1.98 (~m_main_v_state(s72, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14162, 3154, 16641])).
% 1.82/1.98 tff(16661,plain,
% 1.82/1.98 (m_main_v_state(s72, c_ready)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14390, 19, 16660])).
% 1.82/1.98 tff(16662,plain,
% 1.82/1.98 (~m_main_v_request(s72)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14384, 16661, 16653])).
% 1.82/1.98 tff(16663,plain,
% 1.82/1.98 (~node4(s72)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14375, 3141, 16662])).
% 1.82/1.98 tff(16664,plain,
% 1.82/1.98 (xuntil2p8(s72) | (~until2p7(s72))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3446, 3051, 16663])).
% 1.82/1.98 tff(16665,plain,
% 1.82/1.98 (~until2p7(s72)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16664, 16659])).
% 1.82/1.98 tff(16666,plain,
% 1.82/1.98 (~xuntil2p8(s71)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3452, 16665])).
% 1.82/1.98 tff(16667,plain,
% 1.82/1.98 (~m_main_v_state(s71, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14185, 3154, 16640])).
% 1.82/1.98 tff(16668,plain,
% 1.82/1.98 (m_main_v_state(s71, c_ready)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14189, 19, 16667])).
% 1.82/1.98 tff(16669,plain,
% 1.82/1.98 (~m_main_v_request(s71)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14178, 16668, 16660])).
% 1.82/1.98 tff(16670,plain,
% 1.82/1.98 (~node4(s71)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14169, 3141, 16669])).
% 1.82/1.98 tff(16671,plain,
% 1.82/1.98 (xuntil2p8(s71) | (~until2p7(s71))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3458, 3051, 16670])).
% 1.82/1.98 tff(16672,plain,
% 1.82/1.98 (~until2p7(s71)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16671, 16666])).
% 1.82/1.98 tff(16673,plain,
% 1.82/1.98 (~xuntil2p8(s70)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3464, 16672])).
% 1.82/1.98 tff(16674,plain,
% 1.82/1.98 (m_main_v_state(s71, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14636, 14616])).
% 1.82/1.98 tff(16675,plain,
% 1.82/1.98 (~always3(s71)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14185, 3154, 16674])).
% 1.82/1.98 tff(16676,plain,
% 1.82/1.98 ($false),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1204, 16675, 14630])).
% 1.82/1.98 tff(16677,plain,(~node4(s70)), inference(lemma,lemma(discharge,[]))).
% 1.82/1.98 tff(16678,plain,
% 1.82/1.98 (xuntil2p8(s70) | (~until2p7(s70))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3470, 3051, 16677])).
% 1.82/1.98 tff(16679,plain,
% 1.82/1.98 (~until2p7(s70)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16678, 16673])).
% 1.82/1.98 tff(16680,plain,
% 1.82/1.98 (~xuntil2p8(s69)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3476, 16679])).
% 1.82/1.98 tff(16681,plain,
% 1.82/1.98 (~m_main_v_state(s70, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[13976, 3154, 16639])).
% 1.82/1.98 tff(16682,plain,
% 1.82/1.98 (~m_main_v_state(s69, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[13999, 3154, 16638])).
% 1.82/1.98 tff(16683,plain,
% 1.82/1.98 (m_main_v_state(s69, c_ready)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14003, 19, 16682])).
% 1.82/1.98 tff(16684,plain,
% 1.82/1.98 (~m_main_v_request(s69)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[13992, 16683, 16681])).
% 1.82/1.98 tff(16685,plain,
% 1.82/1.98 (~node4(s69)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[13983, 3141, 16684])).
% 1.82/1.98 tff(16686,plain,
% 1.82/1.98 (xuntil2p8(s69) | (~until2p7(s69))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3482, 3051, 16685])).
% 1.82/1.98 tff(16687,plain,
% 1.82/1.98 (~until2p7(s69)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16686, 16680])).
% 1.82/1.98 tff(16688,plain,
% 1.82/1.98 (~xuntil2p8(s68)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3488, 16687])).
% 1.82/1.98 tff(16689,plain,
% 1.82/1.98 (~m_main_v_state(s68, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14798, 3154, 16637])).
% 1.82/1.98 tff(16690,plain,
% 1.82/1.98 (m_main_v_state(s68, c_ready)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14802, 19, 16689])).
% 1.82/1.98 tff(16691,plain,
% 1.82/1.98 (~m_main_v_request(s68)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14811, 16690, 16682])).
% 1.82/1.98 tff(16692,plain,
% 1.82/1.98 (~node4(s68)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14815, 3141, 16691])).
% 1.82/1.98 tff(16693,plain,
% 1.82/1.98 (xuntil2p8(s68) | (~until2p7(s68))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3494, 3051, 16692])).
% 1.82/1.98 tff(16694,plain,
% 1.82/1.98 (~until2p7(s68)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16693, 16688])).
% 1.82/1.98 tff(16695,plain,
% 1.82/1.98 (~xuntil2p8(s67)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3500, 16694])).
% 1.82/1.98 tff(16696,plain,
% 1.82/1.98 (m_main_v_state(s68, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14919, 14899])).
% 1.82/1.98 tff(16697,plain,
% 1.82/1.98 (~always3(s68)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[14798, 3154, 16696])).
% 1.82/1.98 tff(16698,plain,
% 1.82/1.98 ($false),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1291, 16697, 14913])).
% 1.82/1.98 tff(16699,plain,(~node4(s67)), inference(lemma,lemma(discharge,[]))).
% 1.82/1.98 tff(16700,plain,
% 1.82/1.98 (xuntil2p8(s67) | (~until2p7(s67))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3506, 3051, 16699])).
% 1.82/1.98 tff(16701,plain,
% 1.82/1.98 (~until2p7(s67)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16700, 16695])).
% 1.82/1.98 tff(16702,plain,
% 1.82/1.98 (~xuntil2p8(s66)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3512, 16701])).
% 1.82/1.98 tff(16703,plain,
% 1.82/1.98 (~until2p7(s66)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[15020, 16702])).
% 1.82/1.98 tff(16704,plain,
% 1.82/1.98 (~xuntil2p8(s65)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3524, 16703])).
% 1.82/1.98 tff(16705,assumption,(~node4(s65)), introduced(assumption)).
% 1.82/1.98 tff(16706,plain,
% 1.82/1.98 (xuntil2p8(s65) | (~until2p7(s65))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3530, 3051, 16705])).
% 1.82/1.98 tff(16707,plain,
% 1.82/1.98 (~until2p7(s65)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16706, 16704])).
% 1.82/1.98 tff(16708,plain,
% 1.82/1.98 (~trans(s99, s65)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[5031, 16707, 16380])).
% 1.82/1.98 tff(16709,assumption,(~node4(s64)), introduced(assumption)).
% 1.82/1.98 tff(16710,plain,
% 1.82/1.98 (~xuntil2p8(s64)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3536, 16707])).
% 1.82/1.98 tff(16711,plain,
% 1.82/1.98 (~until2p7(s64)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3542, 3051, 16710, 16709])).
% 1.82/1.98 tff(16712,plain,
% 1.82/1.98 (~trans(s99, s64)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[5462, 16711, 16380])).
% 1.82/1.98 tff(16713,plain,
% 1.82/1.98 (~xuntil2p8(s63)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3548, 16711])).
% 1.82/1.98 tff(16714,assumption,(~xuntil2p8(s63)), introduced(assumption)).
% 1.82/1.98 tff(16715,plain,
% 1.82/1.98 (always3(s54)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[8258, 4393])).
% 1.82/1.98 tff(16716,plain,
% 1.82/1.98 (always3(s55)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1527, 16715])).
% 1.82/1.98 tff(16717,plain,
% 1.82/1.98 (always3(s56)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1515, 16716])).
% 1.82/1.98 tff(16718,plain,
% 1.82/1.98 (~m_main_v_state(s56, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[15447, 3154, 16717])).
% 1.82/1.98 tff(16719,plain,
% 1.82/1.98 (~m_main_v_state(s55, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16013, 3154, 16716])).
% 1.82/1.98 tff(16720,plain,
% 1.82/1.98 (m_main_v_state(s55, c_ready)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16018, 19, 16719])).
% 1.82/1.98 tff(16721,plain,
% 1.82/1.98 (~m_main_v_request(s55)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16027, 16720, 16718])).
% 1.82/1.98 tff(16722,plain,
% 1.82/1.98 (~node4(s55)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16031, 3141, 16721])).
% 1.82/1.98 tff(16723,plain,
% 1.82/1.98 (~m_main_v_state(s54, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16054, 3154, 16715])).
% 1.82/1.98 tff(16724,plain,
% 1.82/1.98 (m_main_v_state(s54, c_ready)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16058, 19, 16723])).
% 1.82/1.98 tff(16725,plain,
% 1.82/1.98 (~m_main_v_request(s54)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16067, 16724, 16719])).
% 1.82/1.98 tff(16726,plain,
% 1.82/1.98 (~node4(s54)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16071, 3141, 16725])).
% 1.82/1.98 tff(16727,plain,
% 1.82/1.98 (until2p7(s54)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[4401, 4393, 4303])).
% 1.82/1.98 tff(16728,plain,
% 1.82/1.98 (node4(s54) | xuntil2p8(s54)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3662, 3051, 16727])).
% 1.82/1.98 tff(16729,plain,
% 1.82/1.98 (xuntil2p8(s54)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16728, 16726])).
% 1.82/1.98 tff(16730,plain,
% 1.82/1.98 (until2p7(s55)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3656, 16729])).
% 1.82/1.98 tff(16731,plain,
% 1.82/1.98 (xuntil2p8(s55)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3650, 3051, 16730, 16722])).
% 1.82/1.98 tff(16732,plain,
% 1.82/1.98 (until2p7(s56)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3644, 16731])).
% 1.82/1.98 tff(16733,plain,
% 1.82/1.98 (always3(s57)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1503, 16717])).
% 1.82/1.98 tff(16734,plain,
% 1.82/1.98 (~m_main_v_state(s57, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[15365, 3154, 16733])).
% 1.82/1.98 tff(16735,plain,
% 1.82/1.98 (m_main_v_state(s56, c_ready)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[15451, 19, 16718])).
% 1.82/1.98 tff(16736,plain,
% 1.82/1.98 (~m_main_v_request(s56)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16148, 16735, 16734])).
% 1.82/1.98 tff(16737,plain,
% 1.82/1.98 (~node4(s56)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16139, 3141, 16736])).
% 1.82/1.98 tff(16738,plain,
% 1.82/1.98 (xuntil2p8(s56) | (~until2p7(s56))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3638, 3051, 16737])).
% 1.82/1.98 tff(16739,plain,
% 1.82/1.98 (xuntil2p8(s56)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16738, 16732])).
% 1.82/1.98 tff(16740,plain,
% 1.82/1.98 (until2p7(s57)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3632, 16739])).
% 1.82/1.98 tff(16741,plain,
% 1.82/1.98 (always3(s58)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1491, 16733])).
% 1.82/1.98 tff(16742,plain,
% 1.82/1.98 (~m_main_v_state(s58, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[15338, 3154, 16741])).
% 1.82/1.98 tff(16743,plain,
% 1.82/1.98 (~node4(s57)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[15371, 16742])).
% 1.82/1.98 tff(16744,plain,
% 1.82/1.98 (xuntil2p8(s57) | (~until2p7(s57))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3626, 3051, 16743])).
% 1.82/1.98 tff(16745,plain,
% 1.82/1.98 (xuntil2p8(s57)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16744, 16740])).
% 1.82/1.98 tff(16746,plain,
% 1.82/1.98 (until2p7(s58)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3620, 16745])).
% 1.82/1.98 tff(16747,plain,
% 1.82/1.98 (always3(s59)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1479, 16741])).
% 1.82/1.98 tff(16748,plain,
% 1.82/1.98 (~m_main_v_state(s59, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[15331, 3154, 16747])).
% 1.82/1.98 tff(16749,plain,
% 1.82/1.98 (m_main_v_state(s58, c_ready)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[15342, 19, 16742])).
% 1.82/1.98 tff(16750,plain,
% 1.82/1.98 (~m_main_v_request(s58)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16167, 16749, 16748])).
% 1.82/1.98 tff(16751,plain,
% 1.82/1.98 (~node4(s58)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16158, 3141, 16750])).
% 1.82/1.98 tff(16752,plain,
% 1.82/1.98 (xuntil2p8(s58) | (~until2p7(s58))),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[3614, 3051, 16751])).
% 1.82/1.98 tff(16753,plain,
% 1.82/1.98 (xuntil2p8(s58)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16752, 16746])).
% 1.82/1.98 tff(16754,plain,
% 1.82/1.98 (always3(s60)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1467, 16747])).
% 1.82/1.98 tff(16755,plain,
% 1.82/1.98 (always3(s61)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1455, 16754])).
% 1.82/1.98 tff(16756,plain,
% 1.82/1.98 (always3(s62)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1443, 16755])).
% 1.82/1.98 tff(16757,plain,
% 1.82/1.98 (always3(s63)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1431, 16756])).
% 1.82/1.98 tff(16758,plain,
% 1.82/1.98 (~m_main_v_state(s63, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[15140, 3154, 16757])).
% 1.82/1.98 tff(16759,plain,
% 1.82/1.98 (~m_main_v_state(s62, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[15242, 3154, 16756])).
% 1.82/1.98 tff(16760,plain,
% 1.82/1.98 (m_main_v_state(s62, c_ready)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[15246, 19, 16759])).
% 1.82/1.98 tff(16761,plain,
% 1.82/1.98 (~m_main_v_request(s62)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16287, 16760, 16758])).
% 1.82/1.98 tff(16762,plain,
% 1.82/1.98 (~node4(s62)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[16278, 3141, 16761])).
% 1.82/1.98 tff(16763,plain,
% 1.82/1.98 (always3(s64)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[1407, 16757])).
% 1.82/1.98 tff(16764,plain,
% 1.82/1.98 (~m_main_v_state(s64, c_busy)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[15069, 3154, 16763])).
% 1.82/1.98 tff(16765,plain,
% 1.82/1.98 (m_main_v_state(s63, c_ready)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[15144, 19, 16758])).
% 1.82/1.98 tff(16766,plain,
% 1.82/1.98 (~m_main_v_request(s63)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[15153, 16765, 16764])).
% 1.82/1.98 tff(16767,plain,
% 1.82/1.98 (~node4(s63)),
% 1.82/1.98 inference(unit_resolution,[status(thm)],[15157, 3141, 16766])).
% 1.82/1.98 tff(16768,plain,
% 1.82/1.98 (node4(s63) | (~until2p7(s63))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3554, 3051, 16714])).
% 1.82/1.99 tff(16769,plain,
% 1.82/1.99 (~until2p7(s63)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16768, 16767])).
% 1.82/1.99 tff(16770,plain,
% 1.82/1.99 (~xuntil2p8(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3560, 16769])).
% 1.82/1.99 tff(16771,plain,
% 1.82/1.99 (~until2p7(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3566, 3051, 16770, 16762])).
% 1.82/1.99 tff(16772,plain,
% 1.82/1.99 (~xuntil2p8(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3572, 16771])).
% 1.82/1.99 tff(16773,plain,
% 1.82/1.99 (~m_main_v_state(s61, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16193, 3154, 16755])).
% 1.82/1.99 tff(16774,plain,
% 1.82/1.99 (m_main_v_state(s61, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16197, 19, 16773])).
% 1.82/1.99 tff(16775,plain,
% 1.82/1.99 (~m_main_v_request(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16206, 16774, 16759])).
% 1.82/1.99 tff(16776,plain,
% 1.82/1.99 (~node4(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16210, 3141, 16775])).
% 1.82/1.99 tff(16777,plain,
% 1.82/1.99 (xuntil2p8(s61) | (~until2p7(s61))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3578, 3051, 16776])).
% 1.82/1.99 tff(16778,plain,
% 1.82/1.99 (~until2p7(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16777, 16772])).
% 1.82/1.99 tff(16779,plain,
% 1.82/1.99 (~xuntil2p8(s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3584, 16778])).
% 1.82/1.99 tff(16780,plain,
% 1.82/1.99 (~m_main_v_state(s60, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16229, 3154, 16754])).
% 1.82/1.99 tff(16781,plain,
% 1.82/1.99 (m_main_v_state(s60, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16233, 19, 16780])).
% 1.82/1.99 tff(16782,plain,
% 1.82/1.99 (~m_main_v_request(s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16242, 16781, 16773])).
% 1.82/1.99 tff(16783,plain,
% 1.82/1.99 (~node4(s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16246, 3141, 16782])).
% 1.82/1.99 tff(16784,plain,
% 1.82/1.99 (xuntil2p8(s60) | (~until2p7(s60))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3590, 3051, 16783])).
% 1.82/1.99 tff(16785,plain,
% 1.82/1.99 (~until2p7(s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16784, 16779])).
% 1.82/1.99 tff(16786,plain,
% 1.82/1.99 (~xuntil2p8(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3596, 16785])).
% 1.82/1.99 tff(16787,plain,
% 1.82/1.99 (m_main_v_state(s59, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16269, 19, 16748])).
% 1.82/1.99 tff(16788,plain,
% 1.82/1.99 (~m_main_v_request(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16263, 16787, 16780])).
% 1.82/1.99 tff(16789,plain,
% 1.82/1.99 (~node4(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16254, 3141, 16788])).
% 1.82/1.99 tff(16790,plain,
% 1.82/1.99 (xuntil2p8(s59) | (~until2p7(s59))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3602, 3051, 16789])).
% 1.82/1.99 tff(16791,plain,
% 1.82/1.99 (~until2p7(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16790, 16786])).
% 1.82/1.99 tff(16792,plain,
% 1.82/1.99 ($false),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3608, 16791, 16753])).
% 1.82/1.99 tff(16793,plain,((~trans(s99, s54)) | xuntil2p8(s63) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/1.99 tff(16794,plain,
% 1.82/1.99 (~trans(s99, s54)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16793, 16714, 16380])).
% 1.82/1.99 tff(16795,plain,
% 1.82/1.99 (always3(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8270, 4437])).
% 1.82/1.99 tff(16796,plain,
% 1.82/1.99 (always3(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1443, 16795])).
% 1.82/1.99 tff(16797,plain,
% 1.82/1.99 (always3(s63)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1431, 16796])).
% 1.82/1.99 tff(16798,plain,
% 1.82/1.99 (~m_main_v_state(s63, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15140, 3154, 16797])).
% 1.82/1.99 tff(16799,plain,
% 1.82/1.99 (~m_main_v_state(s62, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15242, 3154, 16796])).
% 1.82/1.99 tff(16800,plain,
% 1.82/1.99 (m_main_v_state(s62, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15246, 19, 16799])).
% 1.82/1.99 tff(16801,plain,
% 1.82/1.99 (~m_main_v_request(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16287, 16800, 16798])).
% 1.82/1.99 tff(16802,plain,
% 1.82/1.99 (~node4(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16278, 3141, 16801])).
% 1.82/1.99 tff(16803,plain,
% 1.82/1.99 (always3(s64)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1407, 16797])).
% 1.82/1.99 tff(16804,plain,
% 1.82/1.99 (~m_main_v_state(s64, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15069, 3154, 16803])).
% 1.82/1.99 tff(16805,plain,
% 1.82/1.99 (m_main_v_state(s63, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15144, 19, 16798])).
% 1.82/1.99 tff(16806,plain,
% 1.82/1.99 (~m_main_v_request(s63)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15153, 16805, 16804])).
% 1.82/1.99 tff(16807,plain,
% 1.82/1.99 (~node4(s63)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15157, 3141, 16806])).
% 1.82/1.99 tff(16808,plain,
% 1.82/1.99 (~until2p7(s63)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16768, 16807])).
% 1.82/1.99 tff(16809,plain,
% 1.82/1.99 (~xuntil2p8(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3560, 16808])).
% 1.82/1.99 tff(16810,plain,
% 1.82/1.99 (~m_main_v_state(s61, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16193, 3154, 16795])).
% 1.82/1.99 tff(16811,plain,
% 1.82/1.99 (m_main_v_state(s61, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16197, 19, 16810])).
% 1.82/1.99 tff(16812,plain,
% 1.82/1.99 (~m_main_v_request(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16206, 16811, 16799])).
% 1.82/1.99 tff(16813,plain,
% 1.82/1.99 (~node4(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16210, 3141, 16812])).
% 1.82/1.99 tff(16814,plain,
% 1.82/1.99 (until2p7(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[4445, 4437, 4303])).
% 1.82/1.99 tff(16815,plain,
% 1.82/1.99 (node4(s61) | xuntil2p8(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3578, 3051, 16814])).
% 1.82/1.99 tff(16816,plain,
% 1.82/1.99 (xuntil2p8(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16815, 16813])).
% 1.82/1.99 tff(16817,plain,
% 1.82/1.99 (until2p7(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3572, 16816])).
% 1.82/1.99 tff(16818,plain,
% 1.82/1.99 ($false),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3566, 3051, 16817, 16809, 16802])).
% 1.82/1.99 tff(16819,plain,((~trans(s99, s61)) | xuntil2p8(s63) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/1.99 tff(16820,plain,
% 1.82/1.99 (~trans(s99, s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16819, 16714, 16380])).
% 1.82/1.99 tff(16821,plain,
% 1.82/1.99 (~trans(s99, s58)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8243, 13347])).
% 1.82/1.99 tff(16822,plain,
% 1.82/1.99 (~trans(s99, s52)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8370, 13372])).
% 1.82/1.99 tff(16823,plain,
% 1.82/1.99 (~trans(s99, s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8418, 13342])).
% 1.82/1.99 tff(16824,plain,
% 1.82/1.99 (~trans(s99, s53)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8292, 13371])).
% 1.82/1.99 tff(16825,plain,
% 1.82/1.99 (~trans(s99, s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8311, 13323])).
% 1.82/1.99 tff(16826,plain,
% 1.82/1.99 (~trans(s99, s56)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8322, 13357])).
% 1.82/1.99 tff(16827,plain,
% 1.82/1.99 (~trans(s99, s50)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8336, 13374])).
% 1.82/1.99 tff(16828,plain,
% 1.82/1.99 (~trans(s99, s55)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8381, 13362])).
% 1.82/1.99 tff(16829,plain,
% 1.82/1.99 (~trans(s99, s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8406, 13337])).
% 1.82/1.99 tff(16830,plain,
% 1.82/1.99 (~trans(s99, s57)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8394, 13352])).
% 1.82/1.99 tff(16831,plain,
% 1.82/1.99 (~trans(s99, s75)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[5097, 14521, 16380])).
% 1.82/1.99 tff(16832,plain,
% 1.82/1.99 (~trans(s99, s51)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8348, 13373])).
% 1.82/1.99 tff(16833,plain,
% 1.82/1.99 (always3(s63) | node4(s99) | trans(s99, s33) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s21) | trans(s99, s49) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15128, 8100])).
% 1.82/1.99 tff(16834,plain,
% 1.82/1.99 (trans(s99, s49)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16833, 16832, 8425, 8429, 8428, 8427, 8426, 3009, 8424, 8423, 8422, 8421, 8420, 16831, 8408, 10888, 8396, 10885, 8384, 8383, 8846, 16830, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 16829, 8352, 8351, 8350, 16828, 8338, 16827, 16826, 16825, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 16824, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 16823, 8260, 16822, 16821, 8229, 8228, 8227])).
% 1.82/1.99 tff(16835,plain,
% 1.82/1.99 ($false),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8440, 16834, 13375])).
% 1.82/1.99 tff(16836,plain,(always3(s63) | trans(s99, s33) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s21) | node4(s99) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s7) | trans(s99, s61) | trans(s99, s17) | trans(s99, s54) | trans(s99, s14) | trans(s99, s32) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s45) | trans(s99, s18) | trans(s99, s12) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s19) | trans(s99, s41) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15)), inference(lemma,lemma(discharge,[]))).
% 1.82/1.99 tff(16837,plain,
% 1.82/1.99 (always3(s63)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16836, 3009, 8429, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 8408, 16820, 8396, 16794, 8384, 8383, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 8338, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8260, 8229, 8228, 8227])).
% 1.82/1.99 tff(16838,plain,
% 1.82/1.99 (~m_main_v_state(s63, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15140, 3154, 16837])).
% 1.82/1.99 tff(16839,plain,
% 1.82/1.99 (always3(s64)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1407, 16837])).
% 1.82/1.99 tff(16840,plain,
% 1.82/1.99 (~m_main_v_state(s64, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15069, 3154, 16839])).
% 1.82/1.99 tff(16841,plain,
% 1.82/1.99 (m_main_v_state(s63, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15144, 19, 16838])).
% 1.82/1.99 tff(16842,plain,
% 1.82/1.99 (~m_main_v_request(s63)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15153, 16841, 16840])).
% 1.82/1.99 tff(16843,plain,
% 1.82/1.99 (~node4(s63)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15157, 3141, 16842])).
% 1.82/1.99 tff(16844,plain,
% 1.82/1.99 (~until2p7(s63)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16768, 16843])).
% 1.82/1.99 tff(16845,plain,
% 1.82/1.99 (~xuntil2p8(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3560, 16844])).
% 1.82/1.99 tff(16846,plain,
% 1.82/1.99 (always3(s58)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8243, 4349])).
% 1.82/1.99 tff(16847,plain,
% 1.82/1.99 (always3(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1479, 16846])).
% 1.82/1.99 tff(16848,plain,
% 1.82/1.99 (always3(s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1467, 16847])).
% 1.82/1.99 tff(16849,plain,
% 1.82/1.99 (~m_main_v_state(s60, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16229, 3154, 16848])).
% 1.82/1.99 tff(16850,plain,
% 1.82/1.99 (~m_main_v_state(s59, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15331, 3154, 16847])).
% 1.82/1.99 tff(16851,plain,
% 1.82/1.99 (m_main_v_state(s59, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16269, 19, 16850])).
% 1.82/1.99 tff(16852,plain,
% 1.82/1.99 (~m_main_v_request(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16263, 16851, 16849])).
% 1.82/1.99 tff(16853,plain,
% 1.82/1.99 (~node4(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16254, 3141, 16852])).
% 1.82/1.99 tff(16854,plain,
% 1.82/1.99 (~m_main_v_state(s58, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15338, 3154, 16846])).
% 1.82/1.99 tff(16855,plain,
% 1.82/1.99 (m_main_v_state(s58, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15342, 19, 16854])).
% 1.82/1.99 tff(16856,plain,
% 1.82/1.99 (~m_main_v_request(s58)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16167, 16855, 16850])).
% 1.82/1.99 tff(16857,plain,
% 1.82/1.99 (~node4(s58)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16158, 3141, 16856])).
% 1.82/1.99 tff(16858,plain,
% 1.82/1.99 (until2p7(s58)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[4357, 4349, 4303])).
% 1.82/1.99 tff(16859,plain,
% 1.82/1.99 (node4(s58) | xuntil2p8(s58)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3614, 3051, 16858])).
% 1.82/1.99 tff(16860,plain,
% 1.82/1.99 (xuntil2p8(s58)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16859, 16857])).
% 1.82/1.99 tff(16861,plain,
% 1.82/1.99 (until2p7(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3608, 16860])).
% 1.82/1.99 tff(16862,plain,
% 1.82/1.99 (xuntil2p8(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3602, 3051, 16861, 16853])).
% 1.82/1.99 tff(16863,plain,
% 1.82/1.99 (until2p7(s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3596, 16862])).
% 1.82/1.99 tff(16864,plain,
% 1.82/1.99 (always3(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1455, 16848])).
% 1.82/1.99 tff(16865,plain,
% 1.82/1.99 (always3(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1443, 16864])).
% 1.82/1.99 tff(16866,plain,
% 1.82/1.99 (~m_main_v_state(s62, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15242, 3154, 16865])).
% 1.82/1.99 tff(16867,plain,
% 1.82/1.99 (~m_main_v_state(s61, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16193, 3154, 16864])).
% 1.82/1.99 tff(16868,plain,
% 1.82/1.99 (m_main_v_state(s61, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16197, 19, 16867])).
% 1.82/1.99 tff(16869,plain,
% 1.82/1.99 (~m_main_v_request(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16206, 16868, 16866])).
% 1.82/1.99 tff(16870,plain,
% 1.82/1.99 (~node4(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16210, 3141, 16869])).
% 1.82/1.99 tff(16871,assumption,(~m_main_v_state(s63, c_busy)), introduced(assumption)).
% 1.82/1.99 tff(16872,plain,
% 1.82/1.99 (m_main_v_state(s62, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15246, 19, 16866])).
% 1.82/1.99 tff(16873,plain,
% 1.82/1.99 (~m_main_v_request(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16287, 16872, 16871])).
% 1.82/1.99 tff(16874,plain,
% 1.82/1.99 (~node4(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16278, 3141, 16873])).
% 1.82/1.99 tff(16875,assumption,(~xuntil2p8(s62)), introduced(assumption)).
% 1.82/1.99 tff(16876,plain,
% 1.82/1.99 (node4(s62) | (~until2p7(s62))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3566, 3051, 16875])).
% 1.82/1.99 tff(16877,plain,
% 1.82/1.99 (~until2p7(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16876, 16874])).
% 1.82/1.99 tff(16878,plain,
% 1.82/1.99 (~xuntil2p8(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3572, 16877])).
% 1.82/1.99 tff(16879,plain,
% 1.82/1.99 (~until2p7(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3578, 3051, 16878, 16870])).
% 1.82/1.99 tff(16880,plain,
% 1.82/1.99 (~xuntil2p8(s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3584, 16879])).
% 1.82/1.99 tff(16881,plain,
% 1.82/1.99 (m_main_v_state(s60, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16233, 19, 16849])).
% 1.82/1.99 tff(16882,plain,
% 1.82/1.99 (~m_main_v_request(s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16242, 16881, 16867])).
% 1.82/1.99 tff(16883,plain,
% 1.82/1.99 (~node4(s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16246, 3141, 16882])).
% 1.82/1.99 tff(16884,plain,
% 1.82/1.99 (xuntil2p8(s60) | (~until2p7(s60))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3590, 3051, 16883])).
% 1.82/1.99 tff(16885,plain,
% 1.82/1.99 ($false),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16884, 16880, 16863])).
% 1.82/1.99 tff(16886,plain,((~trans(s99, s58)) | xuntil2p8(s62) | m_main_v_state(s63, c_busy) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/1.99 tff(16887,plain,
% 1.82/1.99 (~trans(s99, s58)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16886, 16845, 16838, 16380])).
% 1.82/1.99 tff(16888,plain,
% 1.82/1.99 (~trans(s99, s52)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8370, 8111])).
% 1.82/1.99 tff(16889,plain,
% 1.82/1.99 (~trans(s99, s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8418, 8104])).
% 1.82/1.99 tff(16890,plain,
% 1.82/1.99 (~trans(s99, s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8406, 8103])).
% 1.82/1.99 tff(16891,plain,
% 1.82/1.99 (~trans(s99, s57)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8394, 8106])).
% 1.82/1.99 tff(16892,plain,
% 1.82/1.99 (~trans(s99, s53)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8292, 8110])).
% 1.82/1.99 tff(16893,plain,
% 1.82/1.99 (~trans(s99, s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8311, 8101])).
% 1.82/1.99 tff(16894,plain,
% 1.82/1.99 (~trans(s99, s56)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8322, 8107])).
% 1.82/1.99 tff(16895,plain,
% 1.82/1.99 (~trans(s99, s50)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8336, 8113])).
% 1.82/1.99 tff(16896,plain,
% 1.82/1.99 (~trans(s99, s55)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8381, 8108])).
% 1.82/1.99 tff(16897,plain,
% 1.82/1.99 (xuntil6(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8224, 8101])).
% 1.82/1.99 tff(16898,plain,
% 1.82/1.99 (until5(s63)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[2887, 16897])).
% 1.82/1.99 tff(16899,plain,
% 1.82/1.99 (~trans(s99, s51)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8348, 8112])).
% 1.82/1.99 tff(16900,plain,
% 1.82/1.99 (trans(s99, s49)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16406, 16899, 8429, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 3009, 8408, 10888, 8396, 10885, 8384, 8383, 10883, 16898, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 16896, 8338, 16895, 16894, 16893, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 16892, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 16891, 8260, 16890, 16889, 8229, 8228, 8227, 16888])).
% 1.82/1.99 tff(16901,plain,
% 1.82/1.99 ($false),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8440, 16900, 8114])).
% 1.82/1.99 tff(16902,plain,(always3(s62) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s21) | trans(s99, s33) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | node4(s99) | trans(s99, s7) | trans(s99, s61) | trans(s99, s17) | trans(s99, s54) | trans(s99, s14) | trans(s99, s32) | trans(s99, s58) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s45) | trans(s99, s18) | trans(s99, s12) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s19) | trans(s99, s41) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15)), inference(lemma,lemma(discharge,[]))).
% 1.82/1.99 tff(16903,plain,
% 1.82/1.99 (always3(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16902, 3009, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 8429, 8408, 16820, 8396, 16794, 8384, 8383, 16887, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 8338, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8260, 8229, 8228, 8227])).
% 1.82/1.99 tff(16904,plain,
% 1.82/1.99 (~m_main_v_state(s62, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15242, 3154, 16903])).
% 1.82/1.99 tff(16905,plain,
% 1.82/1.99 (m_main_v_state(s62, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15246, 19, 16904])).
% 1.82/1.99 tff(16906,plain,
% 1.82/1.99 (~m_main_v_request(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16287, 16905, 16838])).
% 1.82/1.99 tff(16907,plain,
% 1.82/1.99 (~node4(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16278, 3141, 16906])).
% 1.82/1.99 tff(16908,plain,
% 1.82/1.99 (node4(s62) | (~until2p7(s62))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3566, 3051, 16845])).
% 1.82/1.99 tff(16909,plain,
% 1.82/1.99 (~until2p7(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16908, 16907])).
% 1.82/1.99 tff(16910,plain,
% 1.82/1.99 (~trans(s99, s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[4976, 16909, 16380])).
% 1.82/1.99 tff(16911,plain,
% 1.82/1.99 (~always3(s58)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1479, 16214])).
% 1.82/1.99 tff(16912,plain,
% 1.82/1.99 (~always3(s57)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1491, 16911])).
% 1.82/1.99 tff(16913,plain,
% 1.82/1.99 (~always3(s56)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1503, 16912])).
% 1.82/1.99 tff(16914,plain,
% 1.82/1.99 (~always3(s55)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1515, 16913])).
% 1.82/1.99 tff(16915,plain,
% 1.82/1.99 (~always3(s54)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1527, 16914])).
% 1.82/1.99 tff(16916,plain,
% 1.82/1.99 (~always3(s53)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1539, 16915])).
% 1.82/1.99 tff(16917,plain,
% 1.82/1.99 (~always3(s52)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1551, 16916])).
% 1.82/1.99 tff(16918,plain,
% 1.82/1.99 (~always3(s51)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1563, 16917])).
% 1.82/1.99 tff(16919,plain,
% 1.82/1.99 (~always3(s50)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1575, 16918])).
% 1.82/1.99 tff(16920,plain,
% 1.82/1.99 (~always3(s49)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1587, 16919])).
% 1.82/1.99 tff(16921,plain,
% 1.82/1.99 (~trans(s99, s52)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8370, 16917])).
% 1.82/1.99 tff(16922,plain,
% 1.82/1.99 (~trans(s99, s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8418, 16214])).
% 1.82/1.99 tff(16923,plain,
% 1.82/1.99 (~trans(s99, s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8406, 8397])).
% 1.82/1.99 tff(16924,plain,
% 1.82/1.99 (~trans(s99, s57)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8394, 16912])).
% 1.82/1.99 tff(16925,plain,
% 1.82/1.99 (~trans(s99, s53)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8292, 16916])).
% 1.82/1.99 tff(16926,plain,
% 1.82/1.99 (~trans(s99, s56)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8322, 16913])).
% 1.82/1.99 tff(16927,plain,
% 1.82/1.99 (~trans(s99, s50)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8336, 16919])).
% 1.82/1.99 tff(16928,plain,
% 1.82/1.99 (~trans(s99, s55)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8381, 16914])).
% 1.82/1.99 tff(16929,plain,
% 1.82/1.99 (always3(s63)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16836, 3009, 8429, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 8408, 10888, 8396, 10885, 8384, 8383, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 8338, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8260, 8229, 8228, 8227])).
% 1.82/1.99 tff(16930,plain,
% 1.82/1.99 (~m_main_v_state(s63, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15140, 3154, 16929])).
% 1.82/1.99 tff(16931,plain,
% 1.82/1.99 (always3(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16902, 3009, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 8429, 8408, 10888, 8396, 10885, 8384, 8383, 10883, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 8338, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8260, 8229, 8228, 8227])).
% 1.82/1.99 tff(16932,plain,
% 1.82/1.99 (~m_main_v_state(s62, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15242, 3154, 16931])).
% 1.82/1.99 tff(16933,plain,
% 1.82/1.99 (m_main_v_state(s62, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15246, 19, 16932])).
% 1.82/1.99 tff(16934,plain,
% 1.82/1.99 (~m_main_v_request(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16287, 16933, 16930])).
% 1.82/1.99 tff(16935,plain,
% 1.82/1.99 (~node4(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16278, 3141, 16934])).
% 1.82/1.99 tff(16936,plain,
% 1.82/1.99 (xuntil6(s61) | m_main_v_state(s62, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16271, 16170])).
% 1.82/1.99 tff(16937,plain,
% 1.82/1.99 (xuntil6(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16936, 16932])).
% 1.82/1.99 tff(16938,plain,
% 1.82/1.99 (until5(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[2870, 16937])).
% 1.82/1.99 tff(16939,plain,
% 1.82/1.99 (xuntil6(s62) | node4(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[2881, 614, 16938])).
% 1.82/1.99 tff(16940,plain,
% 1.82/1.99 (xuntil6(s62)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16939, 16935])).
% 1.82/1.99 tff(16941,plain,
% 1.82/1.99 (until5(s63)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[2887, 16940])).
% 1.82/1.99 tff(16942,plain,
% 1.82/1.99 (~trans(s99, s51)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8348, 16918])).
% 1.82/1.99 tff(16943,plain,
% 1.82/1.99 (trans(s99, s49)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16406, 16942, 8429, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 3009, 8408, 10888, 8396, 10885, 8384, 8383, 10883, 16941, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 16928, 8338, 16927, 16926, 9501, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 16925, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 16924, 8260, 16923, 16922, 8229, 8228, 8227, 16921])).
% 1.82/1.99 tff(16944,plain,
% 1.82/1.99 ($false),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8440, 16943, 16920])).
% 1.82/1.99 tff(16945,plain,(always3(s60) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s21) | trans(s99, s33) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | node4(s99) | trans(s99, s7) | trans(s99, s61) | trans(s99, s17) | trans(s99, s54) | trans(s99, s14) | trans(s99, s32) | trans(s99, s58) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s45) | trans(s99, s18) | trans(s99, s12) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s19) | trans(s99, s41) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15)), inference(lemma,lemma(discharge,[]))).
% 1.82/1.99 tff(16946,plain,
% 1.82/1.99 (always3(s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16945, 3009, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 8429, 8408, 16820, 8396, 16794, 8384, 8383, 16887, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 8338, 16910, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8260, 8229, 8228, 8227])).
% 1.82/1.99 tff(16947,plain,
% 1.82/1.99 (always3(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1455, 16946])).
% 1.82/1.99 tff(16948,plain,
% 1.82/1.99 (~m_main_v_state(s61, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16193, 3154, 16947])).
% 1.82/1.99 tff(16949,plain,
% 1.82/1.99 (~m_main_v_state(s60, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16229, 3154, 16946])).
% 1.82/1.99 tff(16950,plain,
% 1.82/1.99 (m_main_v_state(s60, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16233, 19, 16949])).
% 1.82/1.99 tff(16951,plain,
% 1.82/1.99 (~m_main_v_request(s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16242, 16950, 16948])).
% 1.82/1.99 tff(16952,plain,
% 1.82/1.99 (~node4(s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16246, 3141, 16951])).
% 1.82/1.99 tff(16953,plain,
% 1.82/1.99 (m_main_v_state(s61, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16197, 19, 16948])).
% 1.82/1.99 tff(16954,plain,
% 1.82/1.99 (~m_main_v_request(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16206, 16953, 16904])).
% 1.82/1.99 tff(16955,plain,
% 1.82/1.99 (~node4(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16210, 3141, 16954])).
% 1.82/1.99 tff(16956,plain,
% 1.82/1.99 (~xuntil2p8(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3572, 16909])).
% 1.82/1.99 tff(16957,plain,
% 1.82/1.99 (node4(s61) | (~until2p7(s61))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3578, 3051, 16956])).
% 1.82/1.99 tff(16958,plain,
% 1.82/1.99 (~until2p7(s61)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16957, 16955])).
% 1.82/1.99 tff(16959,plain,
% 1.82/1.99 (~xuntil2p8(s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3584, 16958])).
% 1.82/1.99 tff(16960,plain,
% 1.82/1.99 (~until2p7(s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3590, 3051, 16959, 16952])).
% 1.82/1.99 tff(16961,plain,
% 1.82/1.99 (~trans(s99, s60)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[5330, 16960, 16380])).
% 1.82/1.99 tff(16962,plain,
% 1.82/1.99 (~xuntil2p8(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3596, 16960])).
% 1.82/1.99 tff(16963,plain,
% 1.82/1.99 (always3(s52)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8370, 5520])).
% 1.82/1.99 tff(16964,plain,
% 1.82/1.99 (always3(s53)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1551, 16963])).
% 1.82/1.99 tff(16965,plain,
% 1.82/1.99 (always3(s54)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1539, 16964])).
% 1.82/1.99 tff(16966,plain,
% 1.82/1.99 (~m_main_v_state(s54, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16054, 3154, 16965])).
% 1.82/1.99 tff(16967,plain,
% 1.82/1.99 (~m_main_v_state(s53, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16091, 3154, 16964])).
% 1.82/1.99 tff(16968,plain,
% 1.82/1.99 (m_main_v_state(s53, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16095, 19, 16967])).
% 1.82/1.99 tff(16969,plain,
% 1.82/1.99 (~m_main_v_request(s53)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16104, 16968, 16966])).
% 1.82/1.99 tff(16970,plain,
% 1.82/1.99 (~node4(s53)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16108, 3141, 16969])).
% 1.82/1.99 tff(16971,plain,
% 1.82/1.99 (~m_main_v_state(s52, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15508, 3154, 16963])).
% 1.82/1.99 tff(16972,plain,
% 1.82/1.99 (m_main_v_state(s52, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16131, 19, 16971])).
% 1.82/1.99 tff(16973,plain,
% 1.82/1.99 (~m_main_v_request(s52)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16125, 16972, 16967])).
% 1.82/1.99 tff(16974,plain,
% 1.82/1.99 (~node4(s52)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16116, 3141, 16973])).
% 1.82/1.99 tff(16975,plain,
% 1.82/1.99 (until2p7(s52)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[5528, 5520, 4303])).
% 1.82/1.99 tff(16976,plain,
% 1.82/1.99 (node4(s52) | xuntil2p8(s52)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3686, 3051, 16975])).
% 1.82/1.99 tff(16977,plain,
% 1.82/1.99 (xuntil2p8(s52)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16976, 16974])).
% 1.82/1.99 tff(16978,plain,
% 1.82/1.99 (until2p7(s53)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3680, 16977])).
% 1.82/1.99 tff(16979,plain,
% 1.82/1.99 (xuntil2p8(s53)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3674, 3051, 16978, 16970])).
% 1.82/1.99 tff(16980,plain,
% 1.82/1.99 (until2p7(s54)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3668, 16979])).
% 1.82/1.99 tff(16981,plain,
% 1.82/1.99 (always3(s55)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1527, 16965])).
% 1.82/1.99 tff(16982,plain,
% 1.82/1.99 (~m_main_v_state(s55, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16013, 3154, 16981])).
% 1.82/1.99 tff(16983,plain,
% 1.82/1.99 (m_main_v_state(s54, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16058, 19, 16966])).
% 1.82/1.99 tff(16984,plain,
% 1.82/1.99 (~m_main_v_request(s54)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16067, 16983, 16982])).
% 1.82/1.99 tff(16985,plain,
% 1.82/1.99 (~node4(s54)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16071, 3141, 16984])).
% 1.82/1.99 tff(16986,plain,
% 1.82/1.99 (xuntil2p8(s54) | (~until2p7(s54))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3662, 3051, 16985])).
% 1.82/1.99 tff(16987,plain,
% 1.82/1.99 (xuntil2p8(s54)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16986, 16980])).
% 1.82/1.99 tff(16988,plain,
% 1.82/1.99 (until2p7(s55)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3656, 16987])).
% 1.82/1.99 tff(16989,plain,
% 1.82/1.99 (always3(s56)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1515, 16981])).
% 1.82/1.99 tff(16990,plain,
% 1.82/1.99 (~m_main_v_state(s56, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15447, 3154, 16989])).
% 1.82/1.99 tff(16991,plain,
% 1.82/1.99 (m_main_v_state(s55, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16018, 19, 16982])).
% 1.82/1.99 tff(16992,plain,
% 1.82/1.99 (~m_main_v_request(s55)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16027, 16991, 16990])).
% 1.82/1.99 tff(16993,plain,
% 1.82/1.99 (~node4(s55)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16031, 3141, 16992])).
% 1.82/1.99 tff(16994,plain,
% 1.82/1.99 (xuntil2p8(s55) | (~until2p7(s55))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3650, 3051, 16993])).
% 1.82/1.99 tff(16995,plain,
% 1.82/1.99 (xuntil2p8(s55)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16994, 16988])).
% 1.82/1.99 tff(16996,plain,
% 1.82/1.99 (always3(s57)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1503, 16989])).
% 1.82/1.99 tff(16997,plain,
% 1.82/1.99 (always3(s58)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1491, 16996])).
% 1.82/1.99 tff(16998,plain,
% 1.82/1.99 (always3(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1479, 16997])).
% 1.82/1.99 tff(16999,plain,
% 1.82/1.99 (~m_main_v_state(s59, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15331, 3154, 16998])).
% 1.82/1.99 tff(17000,plain,
% 1.82/1.99 (~m_main_v_state(s58, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15338, 3154, 16997])).
% 1.82/1.99 tff(17001,plain,
% 1.82/1.99 (m_main_v_state(s58, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15342, 19, 17000])).
% 1.82/1.99 tff(17002,plain,
% 1.82/1.99 (~m_main_v_request(s58)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16167, 17001, 16999])).
% 1.82/1.99 tff(17003,plain,
% 1.82/1.99 (~node4(s58)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16158, 3141, 17002])).
% 1.82/1.99 tff(17004,assumption,(~m_main_v_state(s60, c_busy)), introduced(assumption)).
% 1.82/1.99 tff(17005,plain,
% 1.82/1.99 (m_main_v_state(s59, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16269, 19, 16999])).
% 1.82/1.99 tff(17006,plain,
% 1.82/1.99 (~m_main_v_request(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16263, 17005, 17004])).
% 1.82/1.99 tff(17007,plain,
% 1.82/1.99 (~node4(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16254, 3141, 17006])).
% 1.82/1.99 tff(17008,assumption,(~xuntil2p8(s59)), introduced(assumption)).
% 1.82/1.99 tff(17009,plain,
% 1.82/1.99 (node4(s59) | (~until2p7(s59))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3602, 3051, 17008])).
% 1.82/1.99 tff(17010,plain,
% 1.82/1.99 (~until2p7(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[17009, 17007])).
% 1.82/1.99 tff(17011,plain,
% 1.82/1.99 (~xuntil2p8(s58)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3608, 17010])).
% 1.82/1.99 tff(17012,plain,
% 1.82/1.99 (~until2p7(s58)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3614, 3051, 17011, 17003])).
% 1.82/1.99 tff(17013,plain,
% 1.82/1.99 (~xuntil2p8(s57)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3620, 17012])).
% 1.82/1.99 tff(17014,plain,
% 1.82/1.99 (~node4(s57)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15371, 17000])).
% 1.82/1.99 tff(17015,plain,
% 1.82/1.99 (xuntil2p8(s57) | (~until2p7(s57))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3626, 3051, 17014])).
% 1.82/1.99 tff(17016,plain,
% 1.82/1.99 (~until2p7(s57)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[17015, 17013])).
% 1.82/1.99 tff(17017,plain,
% 1.82/1.99 (~xuntil2p8(s56)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3632, 17016])).
% 1.82/1.99 tff(17018,plain,
% 1.82/1.99 (~m_main_v_state(s57, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15365, 3154, 16996])).
% 1.82/1.99 tff(17019,plain,
% 1.82/1.99 (m_main_v_state(s56, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15451, 19, 16990])).
% 1.82/1.99 tff(17020,plain,
% 1.82/1.99 (~m_main_v_request(s56)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16148, 17019, 17018])).
% 1.82/1.99 tff(17021,plain,
% 1.82/1.99 (~node4(s56)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16139, 3141, 17020])).
% 1.82/1.99 tff(17022,plain,
% 1.82/1.99 (xuntil2p8(s56) | (~until2p7(s56))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3638, 3051, 17021])).
% 1.82/1.99 tff(17023,plain,
% 1.82/1.99 (~until2p7(s56)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[17022, 17017])).
% 1.82/1.99 tff(17024,plain,
% 1.82/1.99 ($false),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3644, 17023, 16995])).
% 1.82/1.99 tff(17025,plain,((~trans(s99, s52)) | xuntil2p8(s59) | m_main_v_state(s60, c_busy) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/1.99 tff(17026,plain,
% 1.82/1.99 (~trans(s99, s52)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[17025, 16962, 16949, 16380])).
% 1.82/1.99 tff(17027,plain,
% 1.82/1.99 (~always3(s58)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1479, 8409])).
% 1.82/1.99 tff(17028,plain,
% 1.82/1.99 (~always3(s57)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1491, 17027])).
% 1.82/1.99 tff(17029,plain,
% 1.82/1.99 (~trans(s99, s57)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8394, 17028])).
% 1.82/1.99 tff(17030,plain,
% 1.82/1.99 (~always3(s56)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1503, 17028])).
% 1.82/1.99 tff(17031,plain,
% 1.82/1.99 (~always3(s55)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1515, 17030])).
% 1.82/1.99 tff(17032,plain,
% 1.82/1.99 (~trans(s99, s55)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8381, 17031])).
% 1.82/1.99 tff(17033,plain,
% 1.82/1.99 (~always3(s54)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1527, 17031])).
% 1.82/1.99 tff(17034,plain,
% 1.82/1.99 (~always3(s53)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1539, 17033])).
% 1.82/1.99 tff(17035,plain,
% 1.82/1.99 (~always3(s52)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1551, 17034])).
% 1.82/1.99 tff(17036,plain,
% 1.82/1.99 (~always3(s51)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1563, 17035])).
% 1.82/1.99 tff(17037,plain,
% 1.82/1.99 (~trans(s99, s51)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8348, 17036])).
% 1.82/1.99 tff(17038,plain,
% 1.82/1.99 (~trans(s99, s53)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8292, 17034])).
% 1.82/1.99 tff(17039,plain,
% 1.82/1.99 (~trans(s99, s56)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8322, 17030])).
% 1.82/1.99 tff(17040,plain,
% 1.82/1.99 (~trans(s99, s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8418, 8409])).
% 1.82/1.99 tff(17041,plain,
% 1.82/1.99 (~always3(s50)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1575, 17036])).
% 1.82/1.99 tff(17042,plain,
% 1.82/1.99 (~trans(s99, s50)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8336, 17041])).
% 1.82/1.99 tff(17043,plain,
% 1.82/1.99 (~always3(s49)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1587, 17041])).
% 1.82/1.99 tff(17044,plain,
% 1.82/1.99 (~trans(s99, s49)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8440, 17043])).
% 1.82/1.99 tff(17045,plain,
% 1.82/1.99 ($false),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16406, 17044, 17042, 8429, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 3009, 8408, 10888, 8396, 10885, 8384, 8383, 10883, 16941, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 9520, 8338, 17040, 17039, 9501, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 17038, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 17037, 8260, 9516, 17032, 8229, 8228, 8227, 17029])).
% 1.82/1.99 tff(17046,plain,(always3(s59) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s21) | trans(s99, s33) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | node4(s99) | trans(s99, s7) | trans(s99, s61) | trans(s99, s17) | trans(s99, s54) | trans(s99, s14) | trans(s99, s32) | trans(s99, s58) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s45) | trans(s99, s18) | trans(s99, s52) | trans(s99, s12) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s19) | trans(s99, s41) | trans(s99, s60) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15)), inference(lemma,lemma(discharge,[]))).
% 1.82/1.99 tff(17047,plain,
% 1.82/1.99 (always3(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[17046, 3009, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 8429, 8408, 16820, 8396, 16794, 8384, 8383, 16887, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 17026, 8338, 16910, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8260, 16961, 8229, 8228, 8227])).
% 1.82/1.99 tff(17048,plain,
% 1.82/1.99 (~m_main_v_state(s59, c_busy)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[15331, 3154, 17047])).
% 1.82/1.99 tff(17049,plain,
% 1.82/1.99 (m_main_v_state(s59, c_ready)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16269, 19, 17048])).
% 1.82/1.99 tff(17050,plain,
% 1.82/1.99 (~m_main_v_request(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16263, 17049, 16949])).
% 1.82/1.99 tff(17051,plain,
% 1.82/1.99 (~node4(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16254, 3141, 17050])).
% 1.82/1.99 tff(17052,plain,
% 1.82/1.99 (node4(s59) | (~until2p7(s59))),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[3602, 3051, 16962])).
% 1.82/1.99 tff(17053,plain,
% 1.82/1.99 (~until2p7(s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[17052, 17051])).
% 1.82/1.99 tff(17054,plain,
% 1.82/1.99 (~trans(s99, s59)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[5352, 17053, 16380])).
% 1.82/1.99 tff(17055,plain,
% 1.82/1.99 (~trans(s99, s57)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8394, 8385])).
% 1.82/1.99 tff(17056,plain,
% 1.82/1.99 (~always3(s56)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1503, 8385])).
% 1.82/1.99 tff(17057,plain,
% 1.82/1.99 (~always3(s55)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1515, 17056])).
% 1.82/1.99 tff(17058,plain,
% 1.82/1.99 (~trans(s99, s55)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8381, 17057])).
% 1.82/1.99 tff(17059,plain,
% 1.82/1.99 (~always3(s54)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1527, 17057])).
% 1.82/1.99 tff(17060,plain,
% 1.82/1.99 (~always3(s53)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1539, 17059])).
% 1.82/1.99 tff(17061,plain,
% 1.82/1.99 (~always3(s52)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1551, 17060])).
% 1.82/1.99 tff(17062,plain,
% 1.82/1.99 (~always3(s51)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1563, 17061])).
% 1.82/1.99 tff(17063,plain,
% 1.82/1.99 (~trans(s99, s51)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8348, 17062])).
% 1.82/1.99 tff(17064,plain,
% 1.82/1.99 (~trans(s99, s53)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8292, 17060])).
% 1.82/1.99 tff(17065,plain,
% 1.82/1.99 (~trans(s99, s56)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8322, 17056])).
% 1.82/1.99 tff(17066,plain,
% 1.82/1.99 (~always3(s50)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1575, 17062])).
% 1.82/1.99 tff(17067,plain,
% 1.82/1.99 (~trans(s99, s50)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8336, 17066])).
% 1.82/1.99 tff(17068,plain,
% 1.82/1.99 (~always3(s49)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[1587, 17066])).
% 1.82/1.99 tff(17069,plain,
% 1.82/1.99 (~trans(s99, s49)),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[8440, 17068])).
% 1.82/1.99 tff(17070,plain,
% 1.82/1.99 ($false),
% 1.82/1.99 inference(unit_resolution,[status(thm)],[16406, 17069, 17067, 8429, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 3009, 8408, 10888, 8396, 10885, 8384, 8383, 10883, 16941, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 9520, 8338, 9517, 17065, 9501, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 17064, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 17063, 8260, 9516, 17058, 8229, 8228, 8227, 17055])).
% 1.82/2.00 tff(17071,plain,(always3(s57) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s21) | trans(s99, s33) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | node4(s99) | trans(s99, s7) | trans(s99, s61) | trans(s99, s17) | trans(s99, s54) | trans(s99, s14) | trans(s99, s32) | trans(s99, s58) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s45) | trans(s99, s18) | trans(s99, s52) | trans(s99, s12) | trans(s99, s59) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s19) | trans(s99, s41) | trans(s99, s60) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(17072,plain,
% 1.82/2.00 (always3(s57)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17071, 3009, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 8429, 8408, 16820, 8396, 16794, 8384, 8383, 16887, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 17026, 8338, 17054, 16910, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8260, 16961, 8229, 8228, 8227])).
% 1.82/2.00 tff(17073,plain,
% 1.82/2.00 (always3(s58)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1491, 17072])).
% 1.82/2.00 tff(17074,plain,
% 1.82/2.00 (~m_main_v_state(s58, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15338, 3154, 17073])).
% 1.82/2.00 tff(17075,plain,
% 1.82/2.00 (~node4(s57)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15371, 17074])).
% 1.82/2.00 tff(17076,plain,
% 1.82/2.00 (m_main_v_state(s58, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15342, 19, 17074])).
% 1.82/2.00 tff(17077,plain,
% 1.82/2.00 (~m_main_v_request(s58)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16167, 17076, 17048])).
% 1.82/2.00 tff(17078,plain,
% 1.82/2.00 (~node4(s58)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16158, 3141, 17077])).
% 1.82/2.00 tff(17079,plain,
% 1.82/2.00 (~xuntil2p8(s58)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3608, 17053])).
% 1.82/2.00 tff(17080,plain,
% 1.82/2.00 (node4(s58) | (~until2p7(s58))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3614, 3051, 17079])).
% 1.82/2.00 tff(17081,plain,
% 1.82/2.00 (~until2p7(s58)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17080, 17078])).
% 1.82/2.00 tff(17082,plain,
% 1.82/2.00 (~xuntil2p8(s57)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3620, 17081])).
% 1.82/2.00 tff(17083,plain,
% 1.82/2.00 (~until2p7(s57)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3626, 3051, 17082, 17075])).
% 1.82/2.00 tff(17084,plain,
% 1.82/2.00 (~trans(s99, s57)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[5308, 17083, 16380])).
% 1.82/2.00 tff(17085,plain,
% 1.82/2.00 (~m_main_v_state(s57, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15365, 3154, 17072])).
% 1.82/2.00 tff(17086,plain,
% 1.82/2.00 (~trans(s99, s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[8381, 15374])).
% 1.82/2.00 tff(17087,plain,
% 1.82/2.00 (~trans(s99, s51)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[8348, 15397])).
% 1.82/2.00 tff(17088,plain,
% 1.82/2.00 (~trans(s99, s53)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[8292, 15387])).
% 1.82/2.00 tff(17089,plain,
% 1.82/2.00 (~trans(s99, s56)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[8322, 8313])).
% 1.82/2.00 tff(17090,plain,
% 1.82/2.00 (~trans(s99, s50)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[8336, 15402])).
% 1.82/2.00 tff(17091,plain,
% 1.82/2.00 (~trans(s99, s49)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[8440, 15403])).
% 1.82/2.00 tff(17092,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16406, 17091, 17090, 8429, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 3009, 8408, 10888, 8396, 10885, 8384, 8383, 10883, 16941, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 9520, 8338, 9517, 17089, 9501, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 17088, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 17087, 8260, 9516, 17086, 8229, 8228, 8227, 9515])).
% 1.82/2.00 tff(17093,plain,(always3(s56) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s21) | trans(s99, s33) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | node4(s99) | trans(s99, s7) | trans(s99, s61) | trans(s99, s17) | trans(s99, s54) | trans(s99, s14) | trans(s99, s32) | trans(s99, s58) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s45) | trans(s99, s18) | trans(s99, s52) | trans(s99, s12) | trans(s99, s59) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s19) | trans(s99, s41) | trans(s99, s60) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | trans(s99, s57)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(17094,plain,
% 1.82/2.00 (always3(s56)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17093, 3009, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 8429, 8408, 16820, 8396, 16794, 8384, 8383, 16887, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 17026, 8338, 17054, 16910, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8260, 16961, 8229, 8228, 8227, 17084])).
% 1.82/2.00 tff(17095,plain,
% 1.82/2.00 (~m_main_v_state(s56, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15447, 3154, 17094])).
% 1.82/2.00 tff(17096,plain,
% 1.82/2.00 (m_main_v_state(s56, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15451, 19, 17095])).
% 1.82/2.00 tff(17097,plain,
% 1.82/2.00 (~m_main_v_request(s56)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16148, 17096, 17085])).
% 1.82/2.00 tff(17098,plain,
% 1.82/2.00 (~node4(s56)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16139, 3141, 17097])).
% 1.82/2.00 tff(17099,plain,
% 1.82/2.00 (~xuntil2p8(s56)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3632, 17083])).
% 1.82/2.00 tff(17100,plain,
% 1.82/2.00 (node4(s56) | (~until2p7(s56))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3638, 3051, 17099])).
% 1.82/2.00 tff(17101,plain,
% 1.82/2.00 (~until2p7(s56)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17100, 17098])).
% 1.82/2.00 tff(17102,plain,
% 1.82/2.00 (~trans(s99, s56)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[4987, 17101, 16380])).
% 1.82/2.00 tff(17103,plain,
% 1.82/2.00 (~xuntil2p8(s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3644, 17101])).
% 1.82/2.00 tff(17104,plain,
% 1.82/2.00 (until2p7(s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[5275, 5267, 4303])).
% 1.82/2.00 tff(17105,assumption,(~xuntil2p8(s55)), introduced(assumption)).
% 1.82/2.00 tff(17106,plain,
% 1.82/2.00 (node4(s55) | (~until2p7(s55))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3650, 3051, 17105])).
% 1.82/2.00 tff(17107,plain,
% 1.82/2.00 (node4(s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17106, 17104])).
% 1.82/2.00 tff(17108,plain,
% 1.82/2.00 (m_main_v_request(s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16031, 3141, 17107])).
% 1.82/2.00 tff(17109,plain,
% 1.82/2.00 (~m_main_v_state(s55, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16027, 17108, 16015])).
% 1.82/2.00 tff(17110,plain,
% 1.82/2.00 (always3(s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[8381, 5267])).
% 1.82/2.00 tff(17111,plain,
% 1.82/2.00 (~m_main_v_state(s55, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16013, 3154, 17110])).
% 1.82/2.00 tff(17112,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16018, 19, 17111, 17109])).
% 1.82/2.00 tff(17113,plain,((~trans(s99, s55)) | m_main_v_state(s56, c_busy) | xuntil2p8(s55) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(17114,plain,
% 1.82/2.00 (~trans(s99, s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17113, 17095, 17103, 16380])).
% 1.82/2.00 tff(17115,plain,
% 1.82/2.00 (~trans(s99, s63)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[5451, 16844, 16380])).
% 1.82/2.00 tff(17116,plain,
% 1.82/2.00 (~always3(s51)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1563, 16076])).
% 1.82/2.00 tff(17117,plain,
% 1.82/2.00 (~always3(s50)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1575, 17116])).
% 1.82/2.00 tff(17118,plain,
% 1.82/2.00 (~always3(s49)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1587, 17117])).
% 1.82/2.00 tff(17119,plain,
% 1.82/2.00 (~trans(s99, s67)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[4423, 16701, 16380])).
% 1.82/2.00 tff(17120,plain,
% 1.82/2.00 (~trans(s99, s50)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[8336, 17117])).
% 1.82/2.00 tff(17121,plain,
% 1.82/2.00 (~trans(s99, s53)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[8292, 8283])).
% 1.82/2.00 tff(17122,plain,
% 1.82/2.00 (~trans(s99, s69)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[4943, 16687, 16380])).
% 1.82/2.00 tff(17123,plain,
% 1.82/2.00 (~trans(s99, s68)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[5075, 16694, 16380])).
% 1.82/2.00 tff(17124,plain,
% 1.82/2.00 (~trans(s99, s66)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[5231, 16703, 16380])).
% 1.82/2.00 tff(17125,plain,
% 1.82/2.00 (~trans(s99, s51)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[8348, 17116])).
% 1.82/2.00 tff(17126,plain,
% 1.82/2.00 (trans(s99, s69) | trans(s99, s9) | trans(s99, s33) | trans(s99, s46) | trans(s99, s6) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | node4(s99)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[14723, 8100, 16315])).
% 1.82/2.00 tff(17127,plain,
% 1.82/2.00 (trans(s99, s49)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17126, 17125, 8428, 8424, 3009, 17124, 10899, 9506, 10888, 8302, 8427, 8420, 8429, 8408, 8425, 10885, 10898, 8426, 8383, 10883, 9520, 8360, 8359, 17123, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8421, 8351, 8350, 9517, 17122, 8396, 9513, 9502, 9501, 8384, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 17121, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8422, 8423, 17120, 8260, 9516, 9515, 8229, 8228, 8227, 8338, 8272, 17119])).
% 1.82/2.00 tff(17128,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[8440, 17127, 17118])).
% 1.82/2.00 tff(17129,plain,(always3(s53) | trans(s99, s9) | trans(s99, s6) | node4(s99) | trans(s99, s64) | trans(s99, s65) | trans(s99, s61) | trans(s99, s10) | trans(s99, s31) | trans(s99, s1) | trans(s99, s46) | trans(s99, s7) | trans(s99, s33) | trans(s99, s54) | trans(s99, s63) | trans(s99, s21) | trans(s99, s32) | trans(s99, s58) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s29) | trans(s99, s45) | trans(s99, s18) | trans(s99, s59) | trans(s99, s17) | trans(s99, s55) | trans(s99, s56) | trans(s99, s62) | trans(s99, s14) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s40) | trans(s99, s16) | trans(s99, s41) | trans(s99, s60) | trans(s99, s57) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | trans(s99, s12) | trans(s99, s19)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(17130,plain,
% 1.82/2.00 (always3(s53)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17129, 3009, 8424, 8428, 10899, 9506, 16820, 8302, 8427, 8420, 8429, 8408, 8425, 16794, 17115, 8426, 8383, 16887, 17026, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8421, 8351, 8350, 17054, 8396, 17114, 17102, 16910, 8384, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8422, 8423, 8260, 16961, 17084, 8229, 8228, 8227, 8338, 8272])).
% 1.82/2.00 tff(17131,plain,
% 1.82/2.00 (always3(s54)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1539, 17130])).
% 1.82/2.00 tff(17132,plain,
% 1.82/2.00 (always3(s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1527, 17131])).
% 1.82/2.00 tff(17133,plain,
% 1.82/2.00 (~m_main_v_state(s55, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16013, 3154, 17132])).
% 1.82/2.00 tff(17134,plain,
% 1.82/2.00 (~m_main_v_state(s54, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16054, 3154, 17131])).
% 1.82/2.00 tff(17135,plain,
% 1.82/2.00 (m_main_v_state(s54, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16058, 19, 17134])).
% 1.82/2.00 tff(17136,plain,
% 1.82/2.00 (~m_main_v_request(s54)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16067, 17135, 17133])).
% 1.82/2.00 tff(17137,plain,
% 1.82/2.00 (~node4(s54)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16071, 3141, 17136])).
% 1.82/2.00 tff(17138,plain,
% 1.82/2.00 (m_main_v_state(s55, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16018, 19, 17133])).
% 1.82/2.00 tff(17139,plain,
% 1.82/2.00 (~m_main_v_request(s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16027, 17138, 17095])).
% 1.82/2.00 tff(17140,plain,
% 1.82/2.00 (~node4(s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16031, 3141, 17139])).
% 1.82/2.00 tff(17141,plain,
% 1.82/2.00 (node4(s55) | (~until2p7(s55))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3650, 3051, 17103])).
% 1.82/2.00 tff(17142,plain,
% 1.82/2.00 (~until2p7(s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17141, 17140])).
% 1.82/2.00 tff(17143,plain,
% 1.82/2.00 (~xuntil2p8(s54)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3656, 17142])).
% 1.82/2.00 tff(17144,plain,
% 1.82/2.00 (~until2p7(s54)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3662, 3051, 17143, 17137])).
% 1.82/2.00 tff(17145,plain,
% 1.82/2.00 (~xuntil2p8(s53)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3668, 17144])).
% 1.82/2.00 tff(17146,plain,
% 1.82/2.00 (~m_main_v_state(s53, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16091, 3154, 17130])).
% 1.82/2.00 tff(17147,plain,
% 1.82/2.00 (m_main_v_state(s53, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16095, 19, 17146])).
% 1.82/2.00 tff(17148,plain,
% 1.82/2.00 (~m_main_v_request(s53)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16104, 17147, 17134])).
% 1.82/2.00 tff(17149,plain,
% 1.82/2.00 (~node4(s53)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16108, 3141, 17148])).
% 1.82/2.00 tff(17150,plain,
% 1.82/2.00 (xuntil2p8(s53) | (~until2p7(s53))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3674, 3051, 17149])).
% 1.82/2.00 tff(17151,plain,
% 1.82/2.00 (~until2p7(s53)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17150, 17145])).
% 1.82/2.00 tff(17152,plain,
% 1.82/2.00 (~trans(s99, s53)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[4789, 17151, 16380])).
% 1.82/2.00 tff(17153,plain,
% 1.82/2.00 (~xuntil2p8(s52)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3680, 17151])).
% 1.82/2.00 tff(17154,plain,
% 1.82/2.00 (always3(s51)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[8348, 5034])).
% 1.82/2.00 tff(17155,plain,
% 1.82/2.00 (always3(s52)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1563, 17154])).
% 1.82/2.00 tff(17156,plain,
% 1.82/2.00 (~m_main_v_state(s52, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15508, 3154, 17155])).
% 1.82/2.00 tff(17157,plain,
% 1.82/2.00 (~m_main_v_state(s51, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15500, 3154, 17154])).
% 1.82/2.00 tff(17158,plain,
% 1.82/2.00 (m_main_v_state(s51, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15512, 19, 17157])).
% 1.82/2.00 tff(17159,plain,
% 1.82/2.00 (~m_main_v_request(s51)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15521, 17158, 17156])).
% 1.82/2.00 tff(17160,plain,
% 1.82/2.00 (~node4(s51)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15525, 3141, 17159])).
% 1.82/2.00 tff(17161,plain,
% 1.82/2.00 (until2p7(s51)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[5042, 5034, 4303])).
% 1.82/2.00 tff(17162,plain,
% 1.82/2.00 (node4(s51) | xuntil2p8(s51)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3698, 3051, 17161])).
% 1.82/2.00 tff(17163,plain,
% 1.82/2.00 (xuntil2p8(s51)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17162, 17160])).
% 1.82/2.00 tff(17164,assumption,(~m_main_v_state(s53, c_busy)), introduced(assumption)).
% 1.82/2.00 tff(17165,plain,
% 1.82/2.00 (m_main_v_state(s52, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16131, 19, 17156])).
% 1.82/2.00 tff(17166,plain,
% 1.82/2.00 (~m_main_v_request(s52)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16125, 17165, 17164])).
% 1.82/2.00 tff(17167,plain,
% 1.82/2.00 (~node4(s52)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16116, 3141, 17166])).
% 1.82/2.00 tff(17168,assumption,(~xuntil2p8(s52)), introduced(assumption)).
% 1.82/2.00 tff(17169,plain,
% 1.82/2.00 (node4(s52) | (~until2p7(s52))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3686, 3051, 17168])).
% 1.82/2.00 tff(17170,plain,
% 1.82/2.00 (~until2p7(s52)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17169, 17167])).
% 1.82/2.00 tff(17171,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3692, 17170, 17163])).
% 1.82/2.00 tff(17172,plain,((~trans(s99, s51)) | xuntil2p8(s52) | m_main_v_state(s53, c_busy) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(17173,plain,
% 1.82/2.00 (~trans(s99, s51)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17172, 17153, 17146, 16380])).
% 1.82/2.00 tff(17174,plain,
% 1.82/2.00 (~trans(s99, s50)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[8336, 8327])).
% 1.82/2.00 tff(17175,plain,
% 1.82/2.00 (~trans(s99, s49)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[8440, 15529])).
% 1.82/2.00 tff(17176,plain,
% 1.82/2.00 (always3(s63)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16833, 10888, 8425, 8429, 8428, 8427, 8426, 3009, 8424, 8423, 8422, 8421, 8420, 16831, 8408, 10897, 8396, 9515, 8384, 8383, 9513, 9516, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 9517, 8352, 8351, 8350, 9507, 8338, 9503, 9502, 9501, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 9520, 8260, 10885, 10883, 8229, 8228, 8227])).
% 1.82/2.00 tff(17177,plain,
% 1.82/2.00 (always3(s64)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1407, 17176])).
% 1.82/2.00 tff(17178,plain,
% 1.82/2.00 (~m_main_v_state(s64, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15069, 3154, 17177])).
% 1.82/2.00 tff(17179,plain,
% 1.82/2.00 (trans(s99, s63)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17126, 10888, 8428, 8424, 3009, 17124, 10899, 9506, 10897, 8302, 8427, 8420, 8429, 8408, 8425, 9516, 9515, 8426, 8383, 9513, 9517, 8360, 8359, 17123, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8421, 8351, 8350, 9507, 17122, 8396, 9503, 9502, 9501, 8384, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 10892, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8422, 8423, 9520, 8260, 10885, 10883, 8229, 8228, 8227, 8338, 8272, 17119])).
% 1.82/2.00 tff(17180,plain,
% 1.82/2.00 (until2p7(s63)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[5451, 17179, 16380])).
% 1.82/2.00 tff(17181,plain,
% 1.82/2.00 (node4(s63)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16768, 17180])).
% 1.82/2.00 tff(17182,plain,
% 1.82/2.00 (m_main_v_request(s63)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15157, 3141, 17181])).
% 1.82/2.00 tff(17183,plain,
% 1.82/2.00 (~m_main_v_state(s63, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15153, 17182, 17178])).
% 1.82/2.00 tff(17184,plain,
% 1.82/2.00 (~m_main_v_state(s63, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15140, 3154, 17176])).
% 1.82/2.00 tff(17185,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15144, 19, 17184, 17183])).
% 1.82/2.00 tff(17186,plain,(trans(s99, s61) | xuntil2p8(s63) | trans(s99, s33) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s21) | node4(s99) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s7) | trans(s99, s49) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s60) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s59) | trans(s99, s26) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s19) | trans(s99, s52) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | trans(s99, s64) | trans(s99, s65)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(17187,plain,
% 1.82/2.00 ($false),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17186, 17175, 17174, 8425, 8429, 8428, 8427, 8426, 3009, 8424, 8423, 8422, 8421, 8420, 8408, 16820, 8396, 16794, 8384, 8383, 16887, 17026, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 17054, 8352, 8351, 8350, 17114, 8338, 17173, 17102, 16910, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 17152, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 16961, 8260, 16714, 17084, 8229, 8228, 8227, 10899, 9506])).
% 1.82/2.00 tff(17188,plain,(always3(s50) | trans(s99, s33) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s21) | node4(s99) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s7) | trans(s99, s17) | trans(s99, s14) | trans(s99, s32) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s45) | trans(s99, s18) | trans(s99, s12) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s19) | trans(s99, s41) | xuntil2p8(s63) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | trans(s99, s64) | trans(s99, s65)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.00 tff(17189,plain,
% 1.82/2.00 (always3(s50)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17188, 3009, 8429, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 8408, 8396, 8384, 8383, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 8338, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8260, 16713, 8229, 8228, 8227, 16712, 16708])).
% 1.82/2.00 tff(17190,plain,
% 1.82/2.00 (~m_main_v_state(s50, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15572, 3154, 17189])).
% 1.82/2.00 tff(17191,plain,
% 1.82/2.00 (~node4(s49)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15605, 17190])).
% 1.82/2.00 tff(17192,plain,
% 1.82/2.00 (always3(s51)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1575, 17189])).
% 1.82/2.00 tff(17193,plain,
% 1.82/2.00 (always3(s52)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1563, 17192])).
% 1.82/2.00 tff(17194,plain,
% 1.82/2.00 (~m_main_v_state(s52, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15508, 3154, 17193])).
% 1.82/2.00 tff(17195,plain,
% 1.82/2.00 (~m_main_v_state(s51, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15500, 3154, 17192])).
% 1.82/2.00 tff(17196,plain,
% 1.82/2.00 (m_main_v_state(s51, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15512, 19, 17195])).
% 1.82/2.00 tff(17197,plain,
% 1.82/2.00 (~m_main_v_request(s51)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15521, 17196, 17194])).
% 1.82/2.00 tff(17198,plain,
% 1.82/2.00 (~node4(s51)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15525, 3141, 17197])).
% 1.82/2.00 tff(17199,plain,
% 1.82/2.00 (~trans(s99, s54)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16793, 16713, 16380])).
% 1.82/2.00 tff(17200,plain,
% 1.82/2.00 (~trans(s99, s61)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16819, 16713, 16380])).
% 1.82/2.00 tff(17201,plain,
% 1.82/2.00 (always3(s63)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16836, 3009, 8429, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 8408, 17200, 8396, 17199, 8384, 8383, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 8338, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8260, 8229, 8228, 8227])).
% 1.82/2.00 tff(17202,plain,
% 1.82/2.00 (~m_main_v_state(s63, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15140, 3154, 17201])).
% 1.82/2.00 tff(17203,plain,
% 1.82/2.00 (always3(s64)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1407, 17201])).
% 1.82/2.00 tff(17204,plain,
% 1.82/2.00 (~m_main_v_state(s64, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15069, 3154, 17203])).
% 1.82/2.00 tff(17205,plain,
% 1.82/2.00 (m_main_v_state(s63, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15144, 19, 17202])).
% 1.82/2.00 tff(17206,plain,
% 1.82/2.00 (~m_main_v_request(s63)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15153, 17205, 17204])).
% 1.82/2.00 tff(17207,plain,
% 1.82/2.00 (~node4(s63)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15157, 3141, 17206])).
% 1.82/2.00 tff(17208,plain,
% 1.82/2.00 (node4(s63) | (~until2p7(s63))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3554, 3051, 16713])).
% 1.82/2.00 tff(17209,plain,
% 1.82/2.00 (~until2p7(s63)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17208, 17207])).
% 1.82/2.00 tff(17210,plain,
% 1.82/2.00 (~xuntil2p8(s62)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3560, 17209])).
% 1.82/2.00 tff(17211,plain,
% 1.82/2.00 (~trans(s99, s58)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16886, 17210, 17202, 16380])).
% 1.82/2.00 tff(17212,plain,
% 1.82/2.00 (always3(s62)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16902, 3009, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 8429, 8408, 17200, 8396, 17199, 8384, 8383, 17211, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 8338, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8260, 8229, 8228, 8227])).
% 1.82/2.00 tff(17213,plain,
% 1.82/2.00 (~m_main_v_state(s62, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15242, 3154, 17212])).
% 1.82/2.00 tff(17214,plain,
% 1.82/2.00 (m_main_v_state(s62, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15246, 19, 17213])).
% 1.82/2.00 tff(17215,plain,
% 1.82/2.00 (~m_main_v_request(s62)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16287, 17214, 17202])).
% 1.82/2.00 tff(17216,plain,
% 1.82/2.00 (~node4(s62)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16278, 3141, 17215])).
% 1.82/2.00 tff(17217,plain,
% 1.82/2.00 (node4(s62) | (~until2p7(s62))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3566, 3051, 17210])).
% 1.82/2.00 tff(17218,plain,
% 1.82/2.00 (~until2p7(s62)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17217, 17216])).
% 1.82/2.00 tff(17219,plain,
% 1.82/2.00 (~trans(s99, s62)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[4976, 17218, 16380])).
% 1.82/2.00 tff(17220,plain,
% 1.82/2.00 (always3(s60)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16945, 3009, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 8429, 8408, 17200, 8396, 17199, 8384, 8383, 17211, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 8338, 17219, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8260, 8229, 8228, 8227])).
% 1.82/2.00 tff(17221,plain,
% 1.82/2.00 (always3(s61)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1455, 17220])).
% 1.82/2.00 tff(17222,plain,
% 1.82/2.00 (~m_main_v_state(s61, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16193, 3154, 17221])).
% 1.82/2.00 tff(17223,plain,
% 1.82/2.00 (~m_main_v_state(s60, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16229, 3154, 17220])).
% 1.82/2.00 tff(17224,plain,
% 1.82/2.00 (m_main_v_state(s60, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16233, 19, 17223])).
% 1.82/2.00 tff(17225,plain,
% 1.82/2.00 (~m_main_v_request(s60)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16242, 17224, 17222])).
% 1.82/2.00 tff(17226,plain,
% 1.82/2.00 (~node4(s60)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16246, 3141, 17225])).
% 1.82/2.00 tff(17227,plain,
% 1.82/2.00 (m_main_v_state(s61, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16197, 19, 17222])).
% 1.82/2.00 tff(17228,plain,
% 1.82/2.00 (~m_main_v_request(s61)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16206, 17227, 17213])).
% 1.82/2.00 tff(17229,plain,
% 1.82/2.00 (~node4(s61)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16210, 3141, 17228])).
% 1.82/2.00 tff(17230,plain,
% 1.82/2.00 (~xuntil2p8(s61)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3572, 17218])).
% 1.82/2.00 tff(17231,plain,
% 1.82/2.00 (node4(s61) | (~until2p7(s61))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3578, 3051, 17230])).
% 1.82/2.00 tff(17232,plain,
% 1.82/2.00 (~until2p7(s61)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17231, 17229])).
% 1.82/2.00 tff(17233,plain,
% 1.82/2.00 (~xuntil2p8(s60)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3584, 17232])).
% 1.82/2.00 tff(17234,plain,
% 1.82/2.00 (~until2p7(s60)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3590, 3051, 17233, 17226])).
% 1.82/2.00 tff(17235,plain,
% 1.82/2.00 (~trans(s99, s60)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[5330, 17234, 16380])).
% 1.82/2.00 tff(17236,plain,
% 1.82/2.00 (~xuntil2p8(s59)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3596, 17234])).
% 1.82/2.00 tff(17237,plain,
% 1.82/2.00 (~trans(s99, s52)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17025, 17236, 17223, 16380])).
% 1.82/2.00 tff(17238,plain,
% 1.82/2.00 (always3(s59)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17046, 3009, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 8429, 8408, 17200, 8396, 17199, 8384, 8383, 17211, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 17237, 8338, 17219, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8260, 17235, 8229, 8228, 8227])).
% 1.82/2.00 tff(17239,plain,
% 1.82/2.00 (~m_main_v_state(s59, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15331, 3154, 17238])).
% 1.82/2.00 tff(17240,plain,
% 1.82/2.00 (m_main_v_state(s59, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16269, 19, 17239])).
% 1.82/2.00 tff(17241,plain,
% 1.82/2.00 (~m_main_v_request(s59)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16263, 17240, 17223])).
% 1.82/2.00 tff(17242,plain,
% 1.82/2.00 (~node4(s59)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16254, 3141, 17241])).
% 1.82/2.00 tff(17243,plain,
% 1.82/2.00 (node4(s59) | (~until2p7(s59))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3602, 3051, 17236])).
% 1.82/2.00 tff(17244,plain,
% 1.82/2.00 (~until2p7(s59)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17243, 17242])).
% 1.82/2.00 tff(17245,plain,
% 1.82/2.00 (~trans(s99, s59)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[5352, 17244, 16380])).
% 1.82/2.00 tff(17246,plain,
% 1.82/2.00 (always3(s57)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17071, 3009, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 8429, 8408, 17200, 8396, 17199, 8384, 8383, 17211, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 17237, 8338, 17245, 17219, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8260, 17235, 8229, 8228, 8227])).
% 1.82/2.00 tff(17247,plain,
% 1.82/2.00 (always3(s58)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1491, 17246])).
% 1.82/2.00 tff(17248,plain,
% 1.82/2.00 (~m_main_v_state(s58, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15338, 3154, 17247])).
% 1.82/2.00 tff(17249,plain,
% 1.82/2.00 (~node4(s57)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15371, 17248])).
% 1.82/2.00 tff(17250,plain,
% 1.82/2.00 (m_main_v_state(s58, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15342, 19, 17248])).
% 1.82/2.00 tff(17251,plain,
% 1.82/2.00 (~m_main_v_request(s58)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16167, 17250, 17239])).
% 1.82/2.00 tff(17252,plain,
% 1.82/2.00 (~node4(s58)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16158, 3141, 17251])).
% 1.82/2.00 tff(17253,plain,
% 1.82/2.00 (~xuntil2p8(s58)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3608, 17244])).
% 1.82/2.00 tff(17254,plain,
% 1.82/2.00 (node4(s58) | (~until2p7(s58))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3614, 3051, 17253])).
% 1.82/2.00 tff(17255,plain,
% 1.82/2.00 (~until2p7(s58)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17254, 17252])).
% 1.82/2.00 tff(17256,plain,
% 1.82/2.00 (~xuntil2p8(s57)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3620, 17255])).
% 1.82/2.00 tff(17257,plain,
% 1.82/2.00 (~until2p7(s57)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3626, 3051, 17256, 17249])).
% 1.82/2.00 tff(17258,plain,
% 1.82/2.00 (~trans(s99, s57)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[5308, 17257, 16380])).
% 1.82/2.00 tff(17259,plain,
% 1.82/2.00 (~m_main_v_state(s57, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15365, 3154, 17246])).
% 1.82/2.00 tff(17260,plain,
% 1.82/2.00 (always3(s56)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17093, 3009, 8428, 8427, 8426, 8425, 8424, 8423, 8422, 8421, 8420, 8429, 8408, 17200, 8396, 17199, 8384, 8383, 17211, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8351, 8350, 17237, 8338, 17245, 17219, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 8260, 17235, 8229, 8228, 8227, 17258])).
% 1.82/2.00 tff(17261,plain,
% 1.82/2.00 (~m_main_v_state(s56, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15447, 3154, 17260])).
% 1.82/2.00 tff(17262,plain,
% 1.82/2.00 (m_main_v_state(s56, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[15451, 19, 17261])).
% 1.82/2.00 tff(17263,plain,
% 1.82/2.00 (~m_main_v_request(s56)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16148, 17262, 17259])).
% 1.82/2.00 tff(17264,plain,
% 1.82/2.00 (~node4(s56)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16139, 3141, 17263])).
% 1.82/2.00 tff(17265,plain,
% 1.82/2.00 (~xuntil2p8(s56)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3632, 17257])).
% 1.82/2.00 tff(17266,plain,
% 1.82/2.00 (node4(s56) | (~until2p7(s56))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3638, 3051, 17265])).
% 1.82/2.00 tff(17267,plain,
% 1.82/2.00 (~until2p7(s56)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17266, 17264])).
% 1.82/2.00 tff(17268,plain,
% 1.82/2.00 (~trans(s99, s56)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[4987, 17267, 16380])).
% 1.82/2.00 tff(17269,plain,
% 1.82/2.00 (~xuntil2p8(s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3644, 17267])).
% 1.82/2.00 tff(17270,plain,
% 1.82/2.00 (~trans(s99, s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17113, 17261, 17269, 16380])).
% 1.82/2.00 tff(17271,plain,
% 1.82/2.00 (~trans(s99, s63)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[5451, 17209, 16380])).
% 1.82/2.00 tff(17272,plain,
% 1.82/2.00 (always3(s53)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17129, 3009, 8424, 8428, 16712, 16708, 17200, 8302, 8427, 8420, 8429, 8408, 8425, 17199, 17271, 8426, 8383, 17211, 17237, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 8352, 8421, 8351, 8350, 17245, 8396, 17270, 17268, 17219, 8384, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8422, 8423, 8260, 17235, 17258, 8229, 8228, 8227, 8338, 8272])).
% 1.82/2.00 tff(17273,plain,
% 1.82/2.00 (~m_main_v_state(s53, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16091, 3154, 17272])).
% 1.82/2.00 tff(17274,plain,
% 1.82/2.00 (m_main_v_state(s52, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16131, 19, 17194])).
% 1.82/2.00 tff(17275,plain,
% 1.82/2.00 (~m_main_v_request(s52)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16125, 17274, 17273])).
% 1.82/2.00 tff(17276,plain,
% 1.82/2.00 (~node4(s52)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16116, 3141, 17275])).
% 1.82/2.00 tff(17277,plain,
% 1.82/2.00 (always3(s54)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1539, 17272])).
% 1.82/2.00 tff(17278,plain,
% 1.82/2.00 (always3(s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[1527, 17277])).
% 1.82/2.00 tff(17279,plain,
% 1.82/2.00 (~m_main_v_state(s55, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16013, 3154, 17278])).
% 1.82/2.00 tff(17280,plain,
% 1.82/2.00 (~m_main_v_state(s54, c_busy)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16054, 3154, 17277])).
% 1.82/2.00 tff(17281,plain,
% 1.82/2.00 (m_main_v_state(s54, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16058, 19, 17280])).
% 1.82/2.00 tff(17282,plain,
% 1.82/2.00 (~m_main_v_request(s54)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16067, 17281, 17279])).
% 1.82/2.00 tff(17283,plain,
% 1.82/2.00 (~node4(s54)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16071, 3141, 17282])).
% 1.82/2.00 tff(17284,plain,
% 1.82/2.00 (m_main_v_state(s55, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16018, 19, 17279])).
% 1.82/2.00 tff(17285,plain,
% 1.82/2.00 (~m_main_v_request(s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16027, 17284, 17261])).
% 1.82/2.00 tff(17286,plain,
% 1.82/2.00 (~node4(s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16031, 3141, 17285])).
% 1.82/2.00 tff(17287,plain,
% 1.82/2.00 (node4(s55) | (~until2p7(s55))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3650, 3051, 17269])).
% 1.82/2.00 tff(17288,plain,
% 1.82/2.00 (~until2p7(s55)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17287, 17286])).
% 1.82/2.00 tff(17289,plain,
% 1.82/2.00 (~xuntil2p8(s54)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3656, 17288])).
% 1.82/2.00 tff(17290,plain,
% 1.82/2.00 (~until2p7(s54)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3662, 3051, 17289, 17283])).
% 1.82/2.00 tff(17291,plain,
% 1.82/2.00 (~xuntil2p8(s53)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3668, 17290])).
% 1.82/2.00 tff(17292,plain,
% 1.82/2.00 (m_main_v_state(s53, c_ready)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16095, 19, 17273])).
% 1.82/2.00 tff(17293,plain,
% 1.82/2.00 (~m_main_v_request(s53)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16104, 17292, 17280])).
% 1.82/2.00 tff(17294,plain,
% 1.82/2.00 (~node4(s53)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[16108, 3141, 17293])).
% 1.82/2.00 tff(17295,plain,
% 1.82/2.00 (xuntil2p8(s53) | (~until2p7(s53))),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[3674, 3051, 17294])).
% 1.82/2.00 tff(17296,plain,
% 1.82/2.00 (~until2p7(s53)),
% 1.82/2.00 inference(unit_resolution,[status(thm)],[17295, 17291])).
% 1.82/2.01 tff(17297,plain,
% 1.82/2.01 (~xuntil2p8(s52)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[3680, 17296])).
% 1.82/2.01 tff(17298,plain,
% 1.82/2.01 (node4(s52) | (~until2p7(s52))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[3686, 3051, 17297])).
% 1.82/2.01 tff(17299,plain,
% 1.82/2.01 (~until2p7(s52)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17298, 17276])).
% 1.82/2.01 tff(17300,plain,
% 1.82/2.01 (~xuntil2p8(s51)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[3692, 17299])).
% 1.82/2.01 tff(17301,plain,
% 1.82/2.01 (~until2p7(s51)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[3698, 3051, 17300, 17198])).
% 1.82/2.01 tff(17302,plain,
% 1.82/2.01 (~xuntil2p8(s50)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[3704, 17301])).
% 1.82/2.01 tff(17303,plain,
% 1.82/2.01 (m_main_v_state(s50, c_ready)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[15576, 19, 17190])).
% 1.82/2.01 tff(17304,plain,
% 1.82/2.01 (~m_main_v_request(s50)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[15983, 17303, 17195])).
% 1.82/2.01 tff(17305,plain,
% 1.82/2.01 (~node4(s50)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[15974, 3141, 17304])).
% 1.82/2.01 tff(17306,plain,
% 1.82/2.01 (xuntil2p8(s50) | (~until2p7(s50))),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[3710, 3051, 17305])).
% 1.82/2.01 tff(17307,plain,
% 1.82/2.01 (~until2p7(s50)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17306, 17302])).
% 1.82/2.01 tff(17308,plain,
% 1.82/2.01 (~xuntil2p8(s49)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[3716, 17307])).
% 1.82/2.01 tff(17309,plain,
% 1.82/2.01 (~trans(s99, s53)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[4789, 17296, 16380])).
% 1.82/2.01 tff(17310,plain,
% 1.82/2.01 (~trans(s99, s51)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17172, 17297, 17273, 16380])).
% 1.82/2.01 tff(17311,plain,
% 1.82/2.01 (~trans(s99, s50)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[4998, 17307, 16380])).
% 1.82/2.01 tff(17312,plain,
% 1.82/2.01 (trans(s99, s49)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17186, 17311, 8425, 8429, 8428, 8427, 8426, 3009, 8424, 8423, 8422, 8421, 8420, 8408, 17200, 8396, 17199, 8384, 8383, 17211, 17237, 8360, 8359, 8358, 8357, 8356, 8355, 8354, 8353, 17245, 8352, 8351, 8350, 17270, 8338, 17310, 17268, 17219, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 17309, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8272, 17235, 8260, 16713, 17258, 8229, 8228, 8227, 16712, 16708])).
% 1.82/2.01 tff(17313,plain,
% 1.82/2.01 (until2p7(s49)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[5429, 17312, 16380])).
% 1.82/2.01 tff(17314,plain,
% 1.82/2.01 ($false),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[3722, 3051, 17313, 17308, 17191])).
% 1.82/2.01 tff(17315,plain,(node4(s99) | trans(s99, s33) | trans(s99, s46) | trans(s99, s9) | trans(s99, s31) | trans(s99, s21) | trans(s99, s6) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s1) | trans(s99, s7) | trans(s99, s17) | trans(s99, s14) | trans(s99, s32) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s45) | trans(s99, s18) | trans(s99, s12) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s19) | trans(s99, s41) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | node4(s64) | node4(s65)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.01 tff(17316,plain,
% 1.82/2.01 (node4(s99)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17315, 6463, 6485, 6132, 6452, 6441, 6474, 6375, 6430, 6419, 6408, 6397, 6386, 6263, 6364, 6353, 6342, 6331, 6320, 6309, 6296, 6285, 6274, 6252, 6241, 6230, 6219, 6208, 6197, 6186, 6175, 6164, 6153, 6142, 6121, 6110, 6099, 6088, 6077, 6066, 6055, 6044, 6033, 6009, 5998, 5987, 5976, 5965, 5954, 5944, 16633, 16632])).
% 1.82/2.01 tff(17317,plain,
% 1.82/2.01 (m_main_v_request(s99)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[11422, 17316])).
% 1.82/2.01 tff(17318,plain,
% 1.82/2.01 (~node2(s99, s92)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[16409, 17317])).
% 1.82/2.01 tff(17319,plain,
% 1.82/2.01 (~trans(s99, s92)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[10786, 17318])).
% 1.82/2.01 tff(17320,plain,
% 1.82/2.01 (~node2(s99, s96)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[16412, 17317])).
% 1.82/2.01 tff(17321,plain,
% 1.82/2.01 (~trans(s99, s96)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[10872, 17320])).
% 1.82/2.01 tff(17322,plain,
% 1.82/2.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s52)) | node2(s99, s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s52)) | node2(s99, s52))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17323,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s52)) | node2(s99, s52))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(17324,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s52)) | node2(s99, s52)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[17323, 17322])).
% 1.82/2.01 tff(17325,plain,
% 1.82/2.01 (node2(s99, s52)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17324, 5520, 7])).
% 1.82/2.01 tff(17326,plain,
% 1.82/2.01 (((~![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(s52, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s52)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s52, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s52)))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17327,plain,
% 1.82/2.01 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s52)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s52, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s52)))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17328,plain,
% 1.82/2.01 (((~![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(s99, c_ready)) | (~node2(s99, s52)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s52, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s52))))),
% 1.82/2.01 inference(monotonicity,[status(thm)],[17327])).
% 1.82/2.01 tff(17329,plain,
% 1.82/2.01 (((~![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(s99, c_ready)) | (~node2(s99, s52)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s52, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s52)))),
% 1.82/2.01 inference(transitivity,[status(thm)],[17328, 17326])).
% 1.82/2.01 tff(17330,plain,
% 1.82/2.01 ((~![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(s99, c_ready)) | (~node2(s99, s52)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(17331,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s52, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s52))),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[17330, 17329])).
% 1.82/2.01 tff(17332,plain,
% 1.82/2.01 ($false),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17331, 3175, 16971, 10756, 9290, 17325])).
% 1.82/2.01 tff(17333,plain,((~trans(s99, s52)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.01 tff(17334,plain,
% 1.82/2.01 (~trans(s99, s52)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17333, 17317])).
% 1.82/2.01 tff(17335,plain,
% 1.82/2.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s58)) | node2(s99, s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s58)) | node2(s99, s58))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17336,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s58)) | node2(s99, s58))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(17337,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s58)) | node2(s99, s58)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[17336, 17335])).
% 1.82/2.01 tff(17338,plain,
% 1.82/2.01 (node2(s99, s58)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17337, 4349, 7])).
% 1.82/2.01 tff(17339,plain,
% 1.82/2.01 (((~![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(s58, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s58)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s58, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s58)))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17340,plain,
% 1.82/2.01 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s58, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s58)))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17341,plain,
% 1.82/2.01 (((~![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(s99, c_ready)) | (~node2(s99, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s58, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s58))))),
% 1.82/2.01 inference(monotonicity,[status(thm)],[17340])).
% 1.82/2.01 tff(17342,plain,
% 1.82/2.01 (((~![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(s99, c_ready)) | (~node2(s99, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s58, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s58)))),
% 1.82/2.01 inference(transitivity,[status(thm)],[17341, 17339])).
% 1.82/2.01 tff(17343,plain,
% 1.82/2.01 ((~![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(s99, c_ready)) | (~node2(s99, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(17344,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s58, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s58))),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[17343, 17342])).
% 1.82/2.01 tff(17345,plain,
% 1.82/2.01 ($false),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17344, 3175, 16854, 10756, 9290, 17338])).
% 1.82/2.01 tff(17346,plain,((~trans(s99, s58)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.01 tff(17347,plain,
% 1.82/2.01 (~trans(s99, s58)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17346, 17317])).
% 1.82/2.01 tff(17348,plain,
% 1.82/2.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s54)) | node2(s99, s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s54)) | node2(s99, s54))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17349,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s54)) | node2(s99, s54))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(17350,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s54)) | node2(s99, s54)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[17349, 17348])).
% 1.82/2.01 tff(17351,plain,
% 1.82/2.01 (node2(s99, s54)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17350, 4393, 7])).
% 1.82/2.01 tff(17352,plain,
% 1.82/2.01 (((~![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(s54, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s54)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s54, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s54)))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17353,plain,
% 1.82/2.01 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s54)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s54, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s54)))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17354,plain,
% 1.82/2.01 (((~![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(s99, c_ready)) | (~node2(s99, s54)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s54, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s54))))),
% 1.82/2.01 inference(monotonicity,[status(thm)],[17353])).
% 1.82/2.01 tff(17355,plain,
% 1.82/2.01 (((~![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(s99, c_ready)) | (~node2(s99, s54)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s54, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s54)))),
% 1.82/2.01 inference(transitivity,[status(thm)],[17354, 17352])).
% 1.82/2.01 tff(17356,plain,
% 1.82/2.01 ((~![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(s99, c_ready)) | (~node2(s99, s54)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(17357,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s54, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s54))),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[17356, 17355])).
% 1.82/2.01 tff(17358,plain,
% 1.82/2.01 ($false),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17357, 3175, 16723, 10756, 9290, 17351])).
% 1.82/2.01 tff(17359,plain,((~trans(s99, s54)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.01 tff(17360,plain,
% 1.82/2.01 (~trans(s99, s54)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17359, 17317])).
% 1.82/2.01 tff(17361,plain,
% 1.82/2.01 (~trans(s99, s72)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[16435, 17317])).
% 1.82/2.01 tff(17362,plain,
% 1.82/2.01 (~trans(s99, s93)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[13153, 17317])).
% 1.82/2.01 tff(17363,plain,
% 1.82/2.01 (~trans(s99, s71)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[16451, 17317])).
% 1.82/2.01 tff(17364,plain,
% 1.82/2.01 (~trans(s99, s75)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[16466, 17317])).
% 1.82/2.01 tff(17365,plain,
% 1.82/2.01 (~trans(s99, s78)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[12824, 17317])).
% 1.82/2.01 tff(17366,plain,
% 1.82/2.01 (~trans(s99, s69)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[16482, 17317])).
% 1.82/2.01 tff(17367,plain,
% 1.82/2.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s61)) | node2(s99, s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s61)) | node2(s99, s61))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17368,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s61)) | node2(s99, s61))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(17369,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s61)) | node2(s99, s61)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[17368, 17367])).
% 1.82/2.01 tff(17370,plain,
% 1.82/2.01 (node2(s99, s61)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17369, 4437, 7])).
% 1.82/2.01 tff(17371,plain,
% 1.82/2.01 (((~![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(s61, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s61)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s61, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s61)))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17372,plain,
% 1.82/2.01 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s61)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s61, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s61)))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17373,plain,
% 1.82/2.01 (((~![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(s99, c_ready)) | (~node2(s99, s61)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s61, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s61))))),
% 1.82/2.01 inference(monotonicity,[status(thm)],[17372])).
% 1.82/2.01 tff(17374,plain,
% 1.82/2.01 (((~![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(s99, c_ready)) | (~node2(s99, s61)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s61, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s61)))),
% 1.82/2.01 inference(transitivity,[status(thm)],[17373, 17371])).
% 1.82/2.01 tff(17375,plain,
% 1.82/2.01 ((~![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(s99, c_ready)) | (~node2(s99, s61)) | m_main_v_state(s61, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(17376,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s61, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s61))),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[17375, 17374])).
% 1.82/2.01 tff(17377,plain,
% 1.82/2.01 ($false),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17376, 3175, 16810, 10756, 9290, 17370])).
% 1.82/2.01 tff(17378,plain,((~trans(s99, s61)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.01 tff(17379,plain,
% 1.82/2.01 (~trans(s99, s61)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17378, 17317])).
% 1.82/2.01 tff(17380,plain,
% 1.82/2.01 (~trans(s99, s95)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[10768, 17317])).
% 1.82/2.01 tff(17381,plain,
% 1.82/2.01 (~trans(s99, s97)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[10766, 17317])).
% 1.82/2.01 tff(17382,plain,
% 1.82/2.01 (~trans(s99, s86)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[11437, 17317])).
% 1.82/2.01 tff(17383,plain,
% 1.82/2.01 (~trans(s99, s81)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[12840, 17317])).
% 1.82/2.01 tff(17384,plain,
% 1.82/2.01 (~trans(s99, s68)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[16501, 17317])).
% 1.82/2.01 tff(17385,plain,
% 1.82/2.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s49)) | node2(s99, s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s49)) | node2(s99, s49))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17386,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s49)) | node2(s99, s49))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(17387,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s49)) | node2(s99, s49)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[17386, 17385])).
% 1.82/2.01 tff(17388,plain,
% 1.82/2.01 (node2(s99, s49)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17387, 5421, 7])).
% 1.82/2.01 tff(17389,plain,
% 1.82/2.01 (always3(s49)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[8440, 5421])).
% 1.82/2.01 tff(17390,plain,
% 1.82/2.01 (~m_main_v_state(s49, c_busy)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[15599, 3154, 17389])).
% 1.82/2.01 tff(17391,plain,
% 1.82/2.01 (((~![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_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s49)))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17392,plain,
% 1.82/2.01 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s49, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s49)))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17393,plain,
% 1.82/2.01 (((~![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(s99, c_ready)) | (~node2(s99, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s49))))),
% 1.82/2.01 inference(monotonicity,[status(thm)],[17392])).
% 1.82/2.01 tff(17394,plain,
% 1.82/2.01 (((~![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(s99, c_ready)) | (~node2(s99, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s49)))),
% 1.82/2.01 inference(transitivity,[status(thm)],[17393, 17391])).
% 1.82/2.01 tff(17395,plain,
% 1.82/2.01 ((~![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(s99, c_ready)) | (~node2(s99, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(17396,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s49, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s49))),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[17395, 17394])).
% 1.82/2.01 tff(17397,plain,
% 1.82/2.01 ($false),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17396, 3175, 17390, 10756, 9290, 17388])).
% 1.82/2.01 tff(17398,plain,((~trans(s99, s49)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.01 tff(17399,plain,
% 1.82/2.01 (~trans(s99, s49)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17398, 17317])).
% 1.82/2.01 tff(17400,plain,
% 1.82/2.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s53)) | node2(s99, s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s53)) | node2(s99, s53))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17401,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s53)) | node2(s99, s53))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(17402,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s53)) | node2(s99, s53)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[17401, 17400])).
% 1.82/2.01 tff(17403,plain,
% 1.82/2.01 (node2(s99, s53)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17402, 4781, 7])).
% 1.82/2.01 tff(17404,plain,
% 1.82/2.01 (always3(s53)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[8292, 4781])).
% 1.82/2.01 tff(17405,plain,
% 1.82/2.01 (~m_main_v_state(s53, c_busy)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[16091, 3154, 17404])).
% 1.82/2.01 tff(17406,plain,
% 1.82/2.01 (((~![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(s53, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s53)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s53, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s53)))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17407,plain,
% 1.82/2.01 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s53, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s53)))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17408,plain,
% 1.82/2.01 (((~![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(s99, c_ready)) | (~node2(s99, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s53, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s53))))),
% 1.82/2.01 inference(monotonicity,[status(thm)],[17407])).
% 1.82/2.01 tff(17409,plain,
% 1.82/2.01 (((~![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(s99, c_ready)) | (~node2(s99, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s53, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s53)))),
% 1.82/2.01 inference(transitivity,[status(thm)],[17408, 17406])).
% 1.82/2.01 tff(17410,plain,
% 1.82/2.01 ((~![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(s99, c_ready)) | (~node2(s99, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(17411,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s53, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s53))),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[17410, 17409])).
% 1.82/2.01 tff(17412,plain,
% 1.82/2.01 ($false),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17411, 3175, 17405, 10756, 9290, 17403])).
% 1.82/2.01 tff(17413,plain,((~trans(s99, s53)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.01 tff(17414,plain,
% 1.82/2.01 (~trans(s99, s53)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17413, 17317])).
% 1.82/2.01 tff(17415,plain,
% 1.82/2.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s62)) | node2(s99, s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s62)) | node2(s99, s62))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17416,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s62)) | node2(s99, s62))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(17417,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s62)) | node2(s99, s62)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[17416, 17415])).
% 1.82/2.01 tff(17418,plain,
% 1.82/2.01 (node2(s99, s62)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17417, 4968, 7])).
% 1.82/2.01 tff(17419,plain,
% 1.82/2.01 (always3(s62)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[8311, 4968])).
% 1.82/2.01 tff(17420,plain,
% 1.82/2.01 (~m_main_v_state(s62, c_busy)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[15242, 3154, 17419])).
% 1.82/2.01 tff(17421,plain,
% 1.82/2.01 (((~![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(s62, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s62)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s62, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s62)))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17422,plain,
% 1.82/2.01 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s62)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s62, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s62)))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17423,plain,
% 1.82/2.01 (((~![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(s99, c_ready)) | (~node2(s99, s62)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s62, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s62))))),
% 1.82/2.01 inference(monotonicity,[status(thm)],[17422])).
% 1.82/2.01 tff(17424,plain,
% 1.82/2.01 (((~![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(s99, c_ready)) | (~node2(s99, s62)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s62, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s62)))),
% 1.82/2.01 inference(transitivity,[status(thm)],[17423, 17421])).
% 1.82/2.01 tff(17425,plain,
% 1.82/2.01 ((~![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(s99, c_ready)) | (~node2(s99, s62)) | m_main_v_state(s62, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(17426,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s62, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s62))),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[17425, 17424])).
% 1.82/2.01 tff(17427,plain,
% 1.82/2.01 ($false),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17426, 3175, 17420, 10756, 9290, 17418])).
% 1.82/2.01 tff(17428,plain,((~trans(s99, s62)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.01 tff(17429,plain,
% 1.82/2.01 (~trans(s99, s62)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17428, 17317])).
% 1.82/2.01 tff(17430,plain,
% 1.82/2.01 (~trans(s99, s88)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[13149, 17317])).
% 1.82/2.01 tff(17431,plain,
% 1.82/2.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s56)) | node2(s99, s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s56)) | node2(s99, s56))),
% 1.82/2.01 inference(rewrite,[status(thm)],[])).
% 1.82/2.01 tff(17432,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s56)) | node2(s99, s56))),
% 1.82/2.01 inference(quant_inst,[status(thm)],[])).
% 1.82/2.01 tff(17433,plain,
% 1.82/2.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s56)) | node2(s99, s56)),
% 1.82/2.01 inference(modus_ponens,[status(thm)],[17432, 17431])).
% 1.82/2.01 tff(17434,plain,
% 1.82/2.01 (node2(s99, s56)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[17433, 4979, 7])).
% 1.82/2.01 tff(17435,plain,
% 1.82/2.01 (always3(s56)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[8322, 4979])).
% 1.82/2.01 tff(17436,plain,
% 1.82/2.01 (~m_main_v_state(s56, c_busy)),
% 1.82/2.01 inference(unit_resolution,[status(thm)],[15447, 3154, 17435])).
% 1.82/2.01 tff(17437,plain,
% 1.82/2.01 (((~![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(s56, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s56)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s56, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s56)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17438,plain,
% 1.82/2.02 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s56)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s56, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s56)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17439,plain,
% 1.82/2.02 (((~![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(s99, c_ready)) | (~node2(s99, s56)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s56, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s56))))),
% 1.82/2.02 inference(monotonicity,[status(thm)],[17438])).
% 1.82/2.02 tff(17440,plain,
% 1.82/2.02 (((~![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(s99, c_ready)) | (~node2(s99, s56)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s56, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s56)))),
% 1.82/2.02 inference(transitivity,[status(thm)],[17439, 17437])).
% 1.82/2.02 tff(17441,plain,
% 1.82/2.02 ((~![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(s99, c_ready)) | (~node2(s99, s56)) | m_main_v_state(s56, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(17442,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s56, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s56))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[17441, 17440])).
% 1.82/2.02 tff(17443,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17442, 3175, 17436, 10756, 9290, 17434])).
% 1.82/2.02 tff(17444,plain,((~trans(s99, s56)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(17445,plain,
% 1.82/2.02 (~trans(s99, s56)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17444, 17317])).
% 1.82/2.02 tff(17446,plain,
% 1.82/2.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s50)) | node2(s99, s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s50)) | node2(s99, s50))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17447,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s50)) | node2(s99, s50))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(17448,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s50)) | node2(s99, s50)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[17447, 17446])).
% 1.82/2.02 tff(17449,plain,
% 1.82/2.02 (node2(s99, s50)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17448, 4990, 7])).
% 1.82/2.02 tff(17450,plain,
% 1.82/2.02 (always3(s50)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[8336, 4990])).
% 1.82/2.02 tff(17451,plain,
% 1.82/2.02 (~m_main_v_state(s50, c_busy)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[15572, 3154, 17450])).
% 1.82/2.02 tff(17452,plain,
% 1.82/2.02 (((~![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(s50, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s50)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s50, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s50)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17453,plain,
% 1.82/2.02 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s50, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s50)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17454,plain,
% 1.82/2.02 (((~![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(s99, c_ready)) | (~node2(s99, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s50, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s50))))),
% 1.82/2.02 inference(monotonicity,[status(thm)],[17453])).
% 1.82/2.02 tff(17455,plain,
% 1.82/2.02 (((~![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(s99, c_ready)) | (~node2(s99, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s50, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s50)))),
% 1.82/2.02 inference(transitivity,[status(thm)],[17454, 17452])).
% 1.82/2.02 tff(17456,plain,
% 1.82/2.02 ((~![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(s99, c_ready)) | (~node2(s99, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(17457,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s50, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s50))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[17456, 17455])).
% 1.82/2.02 tff(17458,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17457, 3175, 17451, 10756, 9290, 17449])).
% 1.82/2.02 tff(17459,plain,((~trans(s99, s50)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(17460,plain,
% 1.82/2.02 (~trans(s99, s50)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17459, 17317])).
% 1.82/2.02 tff(17461,plain,
% 1.82/2.02 (~trans(s99, s66)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[16518, 17317])).
% 1.82/2.02 tff(17462,plain,
% 1.82/2.02 (~trans(s99, s67)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[16533, 17317])).
% 1.82/2.02 tff(17463,plain,
% 1.82/2.02 (~trans(s99, s87)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[11566, 17317])).
% 1.82/2.02 tff(17464,plain,
% 1.82/2.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s57)) | node2(s99, s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s57)) | node2(s99, s57))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17465,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s57)) | node2(s99, s57))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(17466,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s57)) | node2(s99, s57)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[17465, 17464])).
% 1.82/2.02 tff(17467,plain,
% 1.82/2.02 (node2(s99, s57)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17466, 5300, 7])).
% 1.82/2.02 tff(17468,plain,
% 1.82/2.02 (always3(s57)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[8394, 5300])).
% 1.82/2.02 tff(17469,plain,
% 1.82/2.02 (~m_main_v_state(s57, c_busy)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[15365, 3154, 17468])).
% 1.82/2.02 tff(17470,plain,
% 1.82/2.02 (((~![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(s57, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s57)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s57, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s57)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17471,plain,
% 1.82/2.02 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s57)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s57, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s57)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17472,plain,
% 1.82/2.02 (((~![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(s99, c_ready)) | (~node2(s99, s57)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s57, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s57))))),
% 1.82/2.02 inference(monotonicity,[status(thm)],[17471])).
% 1.82/2.02 tff(17473,plain,
% 1.82/2.02 (((~![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(s99, c_ready)) | (~node2(s99, s57)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s57, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s57)))),
% 1.82/2.02 inference(transitivity,[status(thm)],[17472, 17470])).
% 1.82/2.02 tff(17474,plain,
% 1.82/2.02 ((~![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(s99, c_ready)) | (~node2(s99, s57)) | m_main_v_state(s57, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(17475,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s57, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s57))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[17474, 17473])).
% 1.82/2.02 tff(17476,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17475, 3175, 17469, 10756, 9290, 17467])).
% 1.82/2.02 tff(17477,plain,((~trans(s99, s57)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(17478,plain,
% 1.82/2.02 (~trans(s99, s57)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17477, 17317])).
% 1.82/2.02 tff(17479,plain,
% 1.82/2.02 (~trans(s99, s70)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[16554, 17317])).
% 1.82/2.02 tff(17480,plain,
% 1.82/2.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s60)) | node2(s99, s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s60)) | node2(s99, s60))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17481,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s60)) | node2(s99, s60))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(17482,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s60)) | node2(s99, s60)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[17481, 17480])).
% 1.82/2.02 tff(17483,plain,
% 1.82/2.02 (node2(s99, s60)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17482, 5322, 7])).
% 1.82/2.02 tff(17484,plain,
% 1.82/2.02 (always3(s60)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[8406, 5322])).
% 1.82/2.02 tff(17485,plain,
% 1.82/2.02 (~m_main_v_state(s60, c_busy)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[16229, 3154, 17484])).
% 1.82/2.02 tff(17486,plain,
% 1.82/2.02 (((~![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(s60, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s60)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s60, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s60)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17487,plain,
% 1.82/2.02 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s60)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s60, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s60)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17488,plain,
% 1.82/2.02 (((~![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(s99, c_ready)) | (~node2(s99, s60)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s60, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s60))))),
% 1.82/2.02 inference(monotonicity,[status(thm)],[17487])).
% 1.82/2.02 tff(17489,plain,
% 1.82/2.02 (((~![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(s99, c_ready)) | (~node2(s99, s60)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s60, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s60)))),
% 1.82/2.02 inference(transitivity,[status(thm)],[17488, 17486])).
% 1.82/2.02 tff(17490,plain,
% 1.82/2.02 ((~![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(s99, c_ready)) | (~node2(s99, s60)) | m_main_v_state(s60, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(17491,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s60, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s60))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[17490, 17489])).
% 1.82/2.02 tff(17492,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17491, 3175, 17485, 10756, 9290, 17483])).
% 1.82/2.02 tff(17493,plain,((~trans(s99, s60)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(17494,plain,
% 1.82/2.02 (~trans(s99, s60)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17493, 17317])).
% 1.82/2.02 tff(17495,plain,
% 1.82/2.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s59)) | node2(s99, s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s59)) | node2(s99, s59))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17496,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s59)) | node2(s99, s59))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(17497,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s59)) | node2(s99, s59)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[17496, 17495])).
% 1.82/2.02 tff(17498,plain,
% 1.82/2.02 (node2(s99, s59)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17497, 5344, 7])).
% 1.82/2.02 tff(17499,plain,
% 1.82/2.02 (always3(s59)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[8418, 5344])).
% 1.82/2.02 tff(17500,plain,
% 1.82/2.02 (~m_main_v_state(s59, c_busy)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[15331, 3154, 17499])).
% 1.82/2.02 tff(17501,plain,
% 1.82/2.02 (((~![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(s59, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s59)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s59, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s59)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17502,plain,
% 1.82/2.02 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s59)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s59, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s59)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17503,plain,
% 1.82/2.02 (((~![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(s99, c_ready)) | (~node2(s99, s59)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s59, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s59))))),
% 1.82/2.02 inference(monotonicity,[status(thm)],[17502])).
% 1.82/2.02 tff(17504,plain,
% 1.82/2.02 (((~![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(s99, c_ready)) | (~node2(s99, s59)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s59, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s59)))),
% 1.82/2.02 inference(transitivity,[status(thm)],[17503, 17501])).
% 1.82/2.02 tff(17505,plain,
% 1.82/2.02 ((~![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(s99, c_ready)) | (~node2(s99, s59)) | m_main_v_state(s59, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(17506,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s59, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s59))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[17505, 17504])).
% 1.82/2.02 tff(17507,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17506, 3175, 17500, 10756, 9290, 17498])).
% 1.82/2.02 tff(17508,plain,((~trans(s99, s59)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(17509,plain,
% 1.82/2.02 (~trans(s99, s59)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17508, 17317])).
% 1.82/2.02 tff(17510,plain,
% 1.82/2.02 (~node2(s99, s77)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[16538, 17317])).
% 1.82/2.02 tff(17511,assumption,(~node2(s99, s77)), introduced(assumption)).
% 1.82/2.02 tff(17512,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[12940, 4715, 7, 17511])).
% 1.82/2.02 tff(17513,plain,((~trans(s99, s77)) | node2(s99, s77)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(17514,plain,
% 1.82/2.02 (~trans(s99, s77)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17513, 17510])).
% 1.82/2.02 tff(17515,plain,
% 1.82/2.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s64)) | node2(s99, s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s64)) | node2(s99, s64))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17516,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s64)) | node2(s99, s64))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(17517,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s64)) | node2(s99, s64)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[17516, 17515])).
% 1.82/2.02 tff(17518,plain,
% 1.82/2.02 (node2(s99, s64)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17517, 5454, 7])).
% 1.82/2.02 tff(17519,plain,
% 1.82/2.02 (always3(s64)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[8866, 5454])).
% 1.82/2.02 tff(17520,plain,
% 1.82/2.02 (~m_main_v_state(s64, c_busy)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[15069, 3154, 17519])).
% 1.82/2.02 tff(17521,plain,
% 1.82/2.02 (((~![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(s64, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s64)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s64, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s64)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17522,plain,
% 1.82/2.02 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s64)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s64, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s64)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17523,plain,
% 1.82/2.02 (((~![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(s99, c_ready)) | (~node2(s99, s64)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s64, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s64))))),
% 1.82/2.02 inference(monotonicity,[status(thm)],[17522])).
% 1.82/2.02 tff(17524,plain,
% 1.82/2.02 (((~![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(s99, c_ready)) | (~node2(s99, s64)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s64, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s64)))),
% 1.82/2.02 inference(transitivity,[status(thm)],[17523, 17521])).
% 1.82/2.02 tff(17525,plain,
% 1.82/2.02 ((~![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(s99, c_ready)) | (~node2(s99, s64)) | m_main_v_state(s64, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(17526,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s64, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s64))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[17525, 17524])).
% 1.82/2.02 tff(17527,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17526, 3175, 17520, 10756, 9290, 17518])).
% 1.82/2.02 tff(17528,plain,((~trans(s99, s64)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(17529,plain,
% 1.82/2.02 (~trans(s99, s64)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17528, 17317])).
% 1.82/2.02 tff(17530,assumption,(node2(s99, s65)), introduced(assumption)).
% 1.82/2.02 tff(17531,plain,
% 1.82/2.02 (((~![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(s65, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s65)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s65, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s65)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17532,plain,
% 1.82/2.02 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s65, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s65)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17533,plain,
% 1.82/2.02 (((~![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(s99, c_ready)) | (~node2(s99, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s65, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s65))))),
% 1.82/2.02 inference(monotonicity,[status(thm)],[17532])).
% 1.82/2.02 tff(17534,plain,
% 1.82/2.02 (((~![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(s99, c_ready)) | (~node2(s99, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s65, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s65)))),
% 1.82/2.02 inference(transitivity,[status(thm)],[17533, 17531])).
% 1.82/2.02 tff(17535,plain,
% 1.82/2.02 ((~![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(s99, c_ready)) | (~node2(s99, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(17536,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s65, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s65))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[17535, 17534])).
% 1.82/2.02 tff(17537,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17536, 3175, 8, 10756, 9290, 17530])).
% 1.82/2.02 tff(17538,plain,((~node2(s99, s65)) | m_main_v_state(s65, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(17539,plain,
% 1.82/2.02 (~node2(s99, s65)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17538, 17317, 8])).
% 1.82/2.02 tff(17540,plain,
% 1.82/2.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s65)) | node2(s99, s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s65)) | node2(s99, s65))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17541,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s65)) | node2(s99, s65))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(17542,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s65)) | node2(s99, s65)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[17541, 17540])).
% 1.82/2.02 tff(17543,plain,
% 1.82/2.02 (~trans(s99, s65)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17542, 7, 17539])).
% 1.82/2.02 tff(17544,plain,
% 1.82/2.02 (~trans(s99, s82)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[12877, 17317])).
% 1.82/2.02 tff(17545,plain,
% 1.82/2.02 (~node2(s99, s76)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[16566, 17317])).
% 1.82/2.02 tff(17546,plain,
% 1.82/2.02 (~trans(s99, s76)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[16573, 17545])).
% 1.82/2.02 tff(17547,plain,
% 1.82/2.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s63)) | node2(s99, s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s63)) | node2(s99, s63))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17548,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s63)) | node2(s99, s63))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(17549,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s63)) | node2(s99, s63)),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[17548, 17547])).
% 1.82/2.02 tff(17550,plain,
% 1.82/2.02 (node2(s99, s63)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17549, 5443, 7])).
% 1.82/2.02 tff(17551,plain,
% 1.82/2.02 (always3(s63)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[8855, 5443])).
% 1.82/2.02 tff(17552,plain,
% 1.82/2.02 (~m_main_v_state(s63, c_busy)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[15140, 3154, 17551])).
% 1.82/2.02 tff(17553,plain,
% 1.82/2.02 (((~![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(s63, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s63)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s63, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s63)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17554,plain,
% 1.82/2.02 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s63)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s63, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s63)))),
% 1.82/2.02 inference(rewrite,[status(thm)],[])).
% 1.82/2.02 tff(17555,plain,
% 1.82/2.02 (((~![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(s99, c_ready)) | (~node2(s99, s63)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s63, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s63))))),
% 1.82/2.02 inference(monotonicity,[status(thm)],[17554])).
% 1.82/2.02 tff(17556,plain,
% 1.82/2.02 (((~![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(s99, c_ready)) | (~node2(s99, s63)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s63, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s63)))),
% 1.82/2.02 inference(transitivity,[status(thm)],[17555, 17553])).
% 1.82/2.02 tff(17557,plain,
% 1.82/2.02 ((~![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(s99, c_ready)) | (~node2(s99, s63)) | m_main_v_state(s63, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.02 inference(quant_inst,[status(thm)],[])).
% 1.82/2.02 tff(17558,plain,
% 1.82/2.02 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s63, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s63))),
% 1.82/2.02 inference(modus_ponens,[status(thm)],[17557, 17556])).
% 1.82/2.02 tff(17559,plain,
% 1.82/2.02 ($false),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17558, 3175, 17552, 10756, 9290, 17550])).
% 1.82/2.02 tff(17560,plain,((~trans(s99, s63)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.02 tff(17561,plain,
% 1.82/2.02 (~trans(s99, s63)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[17560, 17317])).
% 1.82/2.02 tff(17562,plain,
% 1.82/2.02 (always3(s67)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[1320, 16629])).
% 1.82/2.02 tff(17563,plain,
% 1.82/2.02 (always3(s68)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[1291, 17562])).
% 1.82/2.02 tff(17564,plain,
% 1.82/2.02 (always3(s69)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[1262, 17563])).
% 1.82/2.02 tff(17565,plain,
% 1.82/2.02 (always3(s70)),
% 1.82/2.02 inference(unit_resolution,[status(thm)],[1233, 17564])).
% 1.82/2.03 tff(17566,plain,
% 1.82/2.03 (always3(s71)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1204, 17565])).
% 1.82/2.03 tff(17567,plain,
% 1.82/2.03 (always3(s72)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1175, 17566])).
% 1.82/2.03 tff(17568,plain,
% 1.82/2.03 (always3(s73)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1146, 17567])).
% 1.82/2.03 tff(17569,plain,
% 1.82/2.03 (always3(s74)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1117, 17568])).
% 1.82/2.03 tff(17570,plain,
% 1.82/2.03 (~m_main_v_state(s74, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14327, 3154, 17569])).
% 1.82/2.03 tff(17571,plain,
% 1.82/2.03 (~node2(s99, s74)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16623, 17317, 17570])).
% 1.82/2.03 tff(17572,plain,
% 1.82/2.03 (~trans(s99, s74)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16613, 17571])).
% 1.82/2.03 tff(17573,plain,
% 1.82/2.03 (~trans(s99, s73)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16604, 17317])).
% 1.82/2.03 tff(17574,plain,
% 1.82/2.03 (~trans(s99, s80)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[12892, 17317])).
% 1.82/2.03 tff(17575,plain,
% 1.82/2.03 (~trans(s99, s94)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[13134, 17317])).
% 1.82/2.03 tff(17576,plain,
% 1.82/2.03 (~trans(s99, s98)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[13139, 17317])).
% 1.82/2.03 tff(17577,plain,
% 1.82/2.03 (~trans(s99, s79)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[12917, 17317])).
% 1.82/2.03 tff(17578,plain,
% 1.82/2.03 (~trans(s99, s83)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[13144, 17317])).
% 1.82/2.03 tff(17579,plain,
% 1.82/2.03 (~node2(s99, s99)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[10789, 17317])).
% 1.82/2.03 tff(17580,plain,
% 1.82/2.03 (~trans(s99, s99)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[10302, 17579])).
% 1.82/2.03 tff(17581,plain,
% 1.82/2.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s55)) | node2(s99, s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s55)) | node2(s99, s55))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(17582,plain,
% 1.82/2.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s55)) | node2(s99, s55))),
% 1.82/2.03 inference(quant_inst,[status(thm)],[])).
% 1.82/2.03 tff(17583,plain,
% 1.82/2.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s55)) | node2(s99, s55)),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[17582, 17581])).
% 1.82/2.03 tff(17584,plain,
% 1.82/2.03 (node2(s99, s55)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17583, 5267, 7])).
% 1.82/2.03 tff(17585,plain,
% 1.82/2.03 (((~![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(s55, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s55)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s55, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s55)))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(17586,plain,
% 1.82/2.03 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s55)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s55, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s55)))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(17587,plain,
% 1.82/2.03 (((~![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(s99, c_ready)) | (~node2(s99, s55)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s55, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s55))))),
% 1.82/2.03 inference(monotonicity,[status(thm)],[17586])).
% 1.82/2.03 tff(17588,plain,
% 1.82/2.03 (((~![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(s99, c_ready)) | (~node2(s99, s55)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s55, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s55)))),
% 1.82/2.03 inference(transitivity,[status(thm)],[17587, 17585])).
% 1.82/2.03 tff(17589,plain,
% 1.82/2.03 ((~![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(s99, c_ready)) | (~node2(s99, s55)) | m_main_v_state(s55, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.03 inference(quant_inst,[status(thm)],[])).
% 1.82/2.03 tff(17590,plain,
% 1.82/2.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s55, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s55))),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[17589, 17588])).
% 1.82/2.03 tff(17591,plain,
% 1.82/2.03 ($false),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17590, 3175, 17111, 10756, 9290, 17584])).
% 1.82/2.03 tff(17592,plain,((~trans(s99, s55)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.03 tff(17593,plain,
% 1.82/2.03 (~trans(s99, s55)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17592, 17317])).
% 1.82/2.03 tff(17594,plain,
% 1.82/2.03 (trans(s99, s51)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16606, 17593, 17317, 17580, 17578, 17577, 17576, 6485, 17575, 6474, 17574, 6463, 17573, 17572, 6452, 17561, 17546, 6441, 6430, 6419, 17544, 6408, 17543, 6397, 17529, 6386, 17514, 6375, 6364, 17509, 17494, 6353, 6342, 17479, 17478, 6331, 6320, 6309, 6296, 6285, 17463, 17462, 6274, 6263, 6252, 17461, 6241, 6230, 17460, 17445, 6219, 17430, 17429, 17414, 17399, 6208, 6197, 17384, 6186, 17383, 17382, 17381, 6175, 6164, 6153, 17380, 6142, 6132, 6121, 6110, 17379, 17366, 6099, 6088, 6077, 6066, 17365, 17364, 6055, 6044, 6033, 6009, 17363, 17362, 5998, 17361, 5987, 17360, 5976, 17347, 17334, 5965, 5954, 5944, 17321, 17319])).
% 1.82/2.03 tff(17595,plain,
% 1.82/2.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s51)) | node2(s99, s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s51)) | node2(s99, s51))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(17596,plain,
% 1.82/2.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s51)) | node2(s99, s51))),
% 1.82/2.03 inference(quant_inst,[status(thm)],[])).
% 1.82/2.03 tff(17597,plain,
% 1.82/2.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s51)) | node2(s99, s51)),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[17596, 17595])).
% 1.82/2.03 tff(17598,plain,
% 1.82/2.03 (node2(s99, s51)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17597, 17594, 7])).
% 1.82/2.03 tff(17599,plain,
% 1.82/2.03 (always3(s51)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[8348, 17594])).
% 1.82/2.03 tff(17600,plain,
% 1.82/2.03 (~m_main_v_state(s51, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15500, 3154, 17599])).
% 1.82/2.03 tff(17601,plain,
% 1.82/2.03 (((~![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(s51, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s51)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s51, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s51)))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(17602,plain,
% 1.82/2.03 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s51, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s51)))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(17603,plain,
% 1.82/2.03 (((~![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(s99, c_ready)) | (~node2(s99, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (m_main_v_state(s51, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s51))))),
% 1.82/2.03 inference(monotonicity,[status(thm)],[17602])).
% 1.82/2.03 tff(17604,plain,
% 1.82/2.03 (((~![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(s99, c_ready)) | (~node2(s99, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s51, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s51)))),
% 1.82/2.03 inference(transitivity,[status(thm)],[17603, 17601])).
% 1.82/2.03 tff(17605,plain,
% 1.82/2.03 ((~![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(s99, c_ready)) | (~node2(s99, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s99)))),
% 1.82/2.03 inference(quant_inst,[status(thm)],[])).
% 1.82/2.03 tff(17606,plain,
% 1.82/2.03 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s51, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s51))),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[17605, 17604])).
% 1.82/2.03 tff(17607,plain,
% 1.82/2.03 ($false),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17606, 3175, 17600, 10756, 17317, 17598])).
% 1.82/2.03 tff(17608,plain,(always3(s48) | m_main_v_state(s65, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.03 tff(17609,plain,
% 1.82/2.03 (always3(s48)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17608, 8])).
% 1.82/2.03 tff(17610,plain,
% 1.82/2.03 (always3(s49)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1599, 17609])).
% 1.82/2.03 tff(17611,plain,
% 1.82/2.03 (always3(s50)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1587, 17610])).
% 1.82/2.03 tff(17612,plain,
% 1.82/2.03 (always3(s51)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1575, 17611])).
% 1.82/2.03 tff(17613,plain,
% 1.82/2.03 (always3(s52)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1563, 17612])).
% 1.82/2.03 tff(17614,plain,
% 1.82/2.03 (always3(s53)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1551, 17613])).
% 1.82/2.03 tff(17615,plain,
% 1.82/2.03 (always3(s54)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1539, 17614])).
% 1.82/2.03 tff(17616,plain,
% 1.82/2.03 (always3(s55)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1527, 17615])).
% 1.82/2.03 tff(17617,plain,
% 1.82/2.03 (always3(s56)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1515, 17616])).
% 1.82/2.03 tff(17618,plain,
% 1.82/2.03 (always3(s57)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1503, 17617])).
% 1.82/2.03 tff(17619,plain,
% 1.82/2.03 (always3(s58)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1491, 17618])).
% 1.82/2.03 tff(17620,plain,
% 1.82/2.03 (always3(s59)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1479, 17619])).
% 1.82/2.03 tff(17621,plain,
% 1.82/2.03 (always3(s60)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1467, 17620])).
% 1.82/2.03 tff(17622,plain,
% 1.82/2.03 (always3(s61)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1455, 17621])).
% 1.82/2.03 tff(17623,plain,
% 1.82/2.03 (always3(s62)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1443, 17622])).
% 1.82/2.03 tff(17624,plain,
% 1.82/2.03 (always3(s63)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1431, 17623])).
% 1.82/2.03 tff(17625,plain,
% 1.82/2.03 (always3(s64)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1407, 17624])).
% 1.82/2.03 tff(17626,plain,
% 1.82/2.03 (always3(s65)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1378, 17625])).
% 1.82/2.03 tff(17627,plain,
% 1.82/2.03 (always3(s66)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1349, 17626])).
% 1.82/2.03 tff(17628,plain,
% 1.82/2.03 (always3(s67)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1320, 17627])).
% 1.82/2.03 tff(17629,plain,
% 1.82/2.03 (always3(s68)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1291, 17628])).
% 1.82/2.03 tff(17630,plain,
% 1.82/2.03 (always3(s69)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1262, 17629])).
% 1.82/2.03 tff(17631,plain,
% 1.82/2.03 (always3(s70)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1233, 17630])).
% 1.82/2.03 tff(17632,plain,
% 1.82/2.03 (always3(s71)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1204, 17631])).
% 1.82/2.03 tff(17633,plain,
% 1.82/2.03 (always3(s72)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1175, 17632])).
% 1.82/2.03 tff(17634,plain,
% 1.82/2.03 (always3(s73)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1146, 17633])).
% 1.82/2.03 tff(17635,plain,
% 1.82/2.03 (always3(s74)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1117, 17634])).
% 1.82/2.03 tff(17636,plain,
% 1.82/2.03 (always3(s75)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[1088, 17635])).
% 1.82/2.03 tff(17637,plain,
% 1.82/2.03 (~m_main_v_state(s75, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[8901, 3154, 17636])).
% 1.82/2.03 tff(17638,plain,
% 1.82/2.03 (~m_main_v_state(s74, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14327, 3154, 17635])).
% 1.82/2.03 tff(17639,plain,
% 1.82/2.03 (m_main_v_state(s74, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14331, 19, 17638])).
% 1.82/2.03 tff(17640,plain,
% 1.82/2.03 (~m_main_v_request(s74)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14407, 17639, 17637])).
% 1.82/2.03 tff(17641,plain,
% 1.82/2.03 (~node4(s74)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14398, 3141, 17640])).
% 1.82/2.03 tff(17642,plain,
% 1.82/2.03 (~m_main_v_state(s73, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14350, 3154, 17634])).
% 1.82/2.03 tff(17643,plain,
% 1.82/2.03 (m_main_v_state(s73, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14355, 19, 17642])).
% 1.82/2.03 tff(17644,plain,
% 1.82/2.03 (~m_main_v_request(s73)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14364, 17643, 17638])).
% 1.82/2.03 tff(17645,plain,
% 1.82/2.03 (~node4(s73)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14368, 3141, 17644])).
% 1.82/2.03 tff(17646,plain,
% 1.82/2.03 (~m_main_v_state(s72, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14162, 3154, 17633])).
% 1.82/2.03 tff(17647,plain,
% 1.82/2.03 (m_main_v_state(s72, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14390, 19, 17646])).
% 1.82/2.03 tff(17648,plain,
% 1.82/2.03 (~m_main_v_request(s72)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14384, 17647, 17642])).
% 1.82/2.03 tff(17649,plain,
% 1.82/2.03 (~node4(s72)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14375, 3141, 17648])).
% 1.82/2.03 tff(17650,plain,
% 1.82/2.03 (~m_main_v_state(s71, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14185, 3154, 17632])).
% 1.82/2.03 tff(17651,plain,
% 1.82/2.03 (m_main_v_state(s71, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14189, 19, 17650])).
% 1.82/2.03 tff(17652,plain,
% 1.82/2.03 (~m_main_v_request(s71)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14178, 17651, 17646])).
% 1.82/2.03 tff(17653,plain,
% 1.82/2.03 (~node4(s71)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14169, 3141, 17652])).
% 1.82/2.03 tff(17654,plain,
% 1.82/2.03 (~m_main_v_state(s70, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[13976, 3154, 17631])).
% 1.82/2.03 tff(17655,plain,
% 1.82/2.03 (~m_main_v_state(s69, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[13999, 3154, 17630])).
% 1.82/2.03 tff(17656,plain,
% 1.82/2.03 (m_main_v_state(s69, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14003, 19, 17655])).
% 1.82/2.03 tff(17657,plain,
% 1.82/2.03 (~m_main_v_request(s69)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[13992, 17656, 17654])).
% 1.82/2.03 tff(17658,plain,
% 1.82/2.03 (~node4(s69)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[13983, 3141, 17657])).
% 1.82/2.03 tff(17659,plain,
% 1.82/2.03 (~m_main_v_state(s68, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14798, 3154, 17629])).
% 1.82/2.03 tff(17660,plain,
% 1.82/2.03 (m_main_v_state(s68, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14802, 19, 17659])).
% 1.82/2.03 tff(17661,plain,
% 1.82/2.03 (~m_main_v_request(s68)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14811, 17660, 17655])).
% 1.82/2.03 tff(17662,plain,
% 1.82/2.03 (~node4(s68)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[14815, 3141, 17661])).
% 1.82/2.03 tff(17663,plain,
% 1.82/2.03 (~m_main_v_state(s64, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15069, 3154, 17625])).
% 1.82/2.03 tff(17664,plain,
% 1.82/2.03 (~m_main_v_state(s63, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15140, 3154, 17624])).
% 1.82/2.03 tff(17665,plain,
% 1.82/2.03 (m_main_v_state(s63, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15144, 19, 17664])).
% 1.82/2.03 tff(17666,plain,
% 1.82/2.03 (~m_main_v_request(s63)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15153, 17665, 17663])).
% 1.82/2.03 tff(17667,plain,
% 1.82/2.03 (~node4(s63)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15157, 3141, 17666])).
% 1.82/2.03 tff(17668,plain,
% 1.82/2.03 (~m_main_v_state(s62, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15242, 3154, 17623])).
% 1.82/2.03 tff(17669,plain,
% 1.82/2.03 (m_main_v_state(s62, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15246, 19, 17668])).
% 1.82/2.03 tff(17670,plain,
% 1.82/2.03 (~m_main_v_request(s62)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16287, 17669, 17664])).
% 1.82/2.03 tff(17671,plain,
% 1.82/2.03 (~node4(s62)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16278, 3141, 17670])).
% 1.82/2.03 tff(17672,plain,
% 1.82/2.03 (~m_main_v_state(s61, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16193, 3154, 17622])).
% 1.82/2.03 tff(17673,plain,
% 1.82/2.03 (m_main_v_state(s61, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16197, 19, 17672])).
% 1.82/2.03 tff(17674,plain,
% 1.82/2.03 (~m_main_v_request(s61)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16206, 17673, 17668])).
% 1.82/2.03 tff(17675,plain,
% 1.82/2.03 (~node4(s61)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16210, 3141, 17674])).
% 1.82/2.03 tff(17676,plain,
% 1.82/2.03 (~m_main_v_state(s60, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16229, 3154, 17621])).
% 1.82/2.03 tff(17677,plain,
% 1.82/2.03 (m_main_v_state(s60, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16233, 19, 17676])).
% 1.82/2.03 tff(17678,plain,
% 1.82/2.03 (~m_main_v_request(s60)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16242, 17677, 17672])).
% 1.82/2.03 tff(17679,plain,
% 1.82/2.03 (~node4(s60)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16246, 3141, 17678])).
% 1.82/2.03 tff(17680,plain,
% 1.82/2.03 (~m_main_v_state(s59, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15331, 3154, 17620])).
% 1.82/2.03 tff(17681,plain,
% 1.82/2.03 (m_main_v_state(s59, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16269, 19, 17680])).
% 1.82/2.03 tff(17682,plain,
% 1.82/2.03 (~m_main_v_request(s59)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16263, 17681, 17676])).
% 1.82/2.03 tff(17683,plain,
% 1.82/2.03 (~node4(s59)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16254, 3141, 17682])).
% 1.82/2.03 tff(17684,plain,
% 1.82/2.03 (~m_main_v_state(s58, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15338, 3154, 17619])).
% 1.82/2.03 tff(17685,plain,
% 1.82/2.03 (m_main_v_state(s58, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15342, 19, 17684])).
% 1.82/2.03 tff(17686,plain,
% 1.82/2.03 (~m_main_v_request(s58)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16167, 17685, 17680])).
% 1.82/2.03 tff(17687,plain,
% 1.82/2.03 (~node4(s58)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16158, 3141, 17686])).
% 1.82/2.03 tff(17688,plain,
% 1.82/2.03 (~node4(s57)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15371, 17684])).
% 1.82/2.03 tff(17689,plain,
% 1.82/2.03 (~m_main_v_state(s57, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15365, 3154, 17618])).
% 1.82/2.03 tff(17690,plain,
% 1.82/2.03 (~m_main_v_state(s56, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15447, 3154, 17617])).
% 1.82/2.03 tff(17691,plain,
% 1.82/2.03 (m_main_v_state(s56, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15451, 19, 17690])).
% 1.82/2.03 tff(17692,plain,
% 1.82/2.03 (~m_main_v_request(s56)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16148, 17691, 17689])).
% 1.82/2.03 tff(17693,plain,
% 1.82/2.03 (~node4(s56)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16139, 3141, 17692])).
% 1.82/2.03 tff(17694,plain,
% 1.82/2.03 (~m_main_v_state(s55, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16013, 3154, 17616])).
% 1.82/2.03 tff(17695,plain,
% 1.82/2.03 (m_main_v_state(s55, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16018, 19, 17694])).
% 1.82/2.03 tff(17696,plain,
% 1.82/2.03 (~m_main_v_request(s55)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16027, 17695, 17690])).
% 1.82/2.03 tff(17697,plain,
% 1.82/2.03 (~node4(s55)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16031, 3141, 17696])).
% 1.82/2.03 tff(17698,plain,
% 1.82/2.03 (~m_main_v_state(s54, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16054, 3154, 17615])).
% 1.82/2.03 tff(17699,plain,
% 1.82/2.03 (m_main_v_state(s54, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16058, 19, 17698])).
% 1.82/2.03 tff(17700,plain,
% 1.82/2.03 (~m_main_v_request(s54)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16067, 17699, 17694])).
% 1.82/2.03 tff(17701,plain,
% 1.82/2.03 (~node4(s54)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16071, 3141, 17700])).
% 1.82/2.03 tff(17702,plain,
% 1.82/2.03 (~m_main_v_state(s53, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16091, 3154, 17614])).
% 1.82/2.03 tff(17703,plain,
% 1.82/2.03 (m_main_v_state(s53, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16095, 19, 17702])).
% 1.82/2.03 tff(17704,plain,
% 1.82/2.03 (~m_main_v_request(s53)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16104, 17703, 17698])).
% 1.82/2.03 tff(17705,plain,
% 1.82/2.03 (~node4(s53)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16108, 3141, 17704])).
% 1.82/2.03 tff(17706,plain,
% 1.82/2.03 (~m_main_v_state(s52, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15508, 3154, 17613])).
% 1.82/2.03 tff(17707,plain,
% 1.82/2.03 (m_main_v_state(s52, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16131, 19, 17706])).
% 1.82/2.03 tff(17708,plain,
% 1.82/2.03 (~m_main_v_request(s52)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16125, 17707, 17702])).
% 1.82/2.03 tff(17709,plain,
% 1.82/2.03 (~node4(s52)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16116, 3141, 17708])).
% 1.82/2.03 tff(17710,plain,
% 1.82/2.03 (~m_main_v_state(s51, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15500, 3154, 17612])).
% 1.82/2.03 tff(17711,plain,
% 1.82/2.03 (m_main_v_state(s51, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15512, 19, 17710])).
% 1.82/2.03 tff(17712,plain,
% 1.82/2.03 (~m_main_v_request(s51)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15521, 17711, 17706])).
% 1.82/2.03 tff(17713,plain,
% 1.82/2.03 (~node4(s51)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15525, 3141, 17712])).
% 1.82/2.03 tff(17714,plain,
% 1.82/2.03 (~m_main_v_state(s50, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15572, 3154, 17611])).
% 1.82/2.03 tff(17715,plain,
% 1.82/2.03 (m_main_v_state(s50, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15576, 19, 17714])).
% 1.82/2.03 tff(17716,plain,
% 1.82/2.03 (~m_main_v_request(s50)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15983, 17715, 17710])).
% 1.82/2.03 tff(17717,plain,
% 1.82/2.03 (~node4(s50)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15974, 3141, 17716])).
% 1.82/2.03 tff(17718,plain,
% 1.82/2.03 (~node4(s49)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15605, 17714])).
% 1.82/2.03 tff(17719,plain,
% 1.82/2.03 (~m_main_v_state(s49, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15599, 3154, 17610])).
% 1.82/2.03 tff(17720,plain,
% 1.82/2.03 (~m_main_v_state(s48, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15636, 3154, 17609])).
% 1.82/2.03 tff(17721,plain,
% 1.82/2.03 (m_main_v_state(s48, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15640, 19, 17720])).
% 1.82/2.03 tff(17722,plain,
% 1.82/2.03 (~m_main_v_request(s48)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15963, 17721, 17719])).
% 1.82/2.03 tff(17723,plain,
% 1.82/2.03 (~node4(s48)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15954, 3141, 17722])).
% 1.82/2.03 tff(17724,plain,
% 1.82/2.03 (~m_main_v_state(s66, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[13534, 3154, 17627])).
% 1.82/2.03 tff(17725,plain,
% 1.82/2.03 (~m_main_v_request(s65)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[13550, 17724, 25])).
% 1.82/2.03 tff(17726,plain,
% 1.82/2.03 (~node4(s65)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[13541, 3141, 17725])).
% 1.82/2.03 tff(17727,assumption,(~node4(s74)), introduced(assumption)).
% 1.82/2.03 tff(17728,plain,
% 1.82/2.03 (xuntil2p8(s74) | (~until2p7(s74))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3422, 3051, 17727])).
% 1.82/2.03 tff(17729,plain,
% 1.82/2.03 (~until2p7(s74)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17728, 14522])).
% 1.82/2.03 tff(17730,plain,
% 1.82/2.03 (~xuntil2p8(s73)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3428, 17729])).
% 1.82/2.03 tff(17731,assumption,(~node4(s73)), introduced(assumption)).
% 1.82/2.03 tff(17732,plain,
% 1.82/2.03 (xuntil2p8(s73) | (~until2p7(s73))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3434, 3051, 17731])).
% 1.82/2.03 tff(17733,plain,
% 1.82/2.03 (~until2p7(s73)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17732, 17730])).
% 1.82/2.03 tff(17734,plain,
% 1.82/2.03 (~xuntil2p8(s72)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3440, 17733])).
% 1.82/2.03 tff(17735,assumption,(~node4(s72)), introduced(assumption)).
% 1.82/2.03 tff(17736,plain,
% 1.82/2.03 (xuntil2p8(s72) | (~until2p7(s72))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3446, 3051, 17735])).
% 1.82/2.03 tff(17737,plain,
% 1.82/2.03 (~until2p7(s72)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17736, 17734])).
% 1.82/2.03 tff(17738,plain,
% 1.82/2.03 (~xuntil2p8(s71)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3452, 17737])).
% 1.82/2.03 tff(17739,assumption,(~node4(s71)), introduced(assumption)).
% 1.82/2.03 tff(17740,plain,
% 1.82/2.03 (xuntil2p8(s71) | (~until2p7(s71))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3458, 3051, 17739])).
% 1.82/2.03 tff(17741,plain,
% 1.82/2.03 (~until2p7(s71)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17740, 17738])).
% 1.82/2.03 tff(17742,plain,
% 1.82/2.03 (~xuntil2p8(s70)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3464, 17741])).
% 1.82/2.03 tff(17743,plain,
% 1.82/2.03 (~until2p7(s70)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16678, 17742])).
% 1.82/2.03 tff(17744,plain,
% 1.82/2.03 (~xuntil2p8(s69)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3476, 17743])).
% 1.82/2.03 tff(17745,assumption,(~node4(s69)), introduced(assumption)).
% 1.82/2.03 tff(17746,plain,
% 1.82/2.03 (xuntil2p8(s69) | (~until2p7(s69))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3482, 3051, 17745])).
% 1.82/2.03 tff(17747,plain,
% 1.82/2.03 (~until2p7(s69)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17746, 17744])).
% 1.82/2.03 tff(17748,plain,
% 1.82/2.03 (~xuntil2p8(s68)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3488, 17747])).
% 1.82/2.03 tff(17749,assumption,(~node4(s68)), introduced(assumption)).
% 1.82/2.03 tff(17750,plain,
% 1.82/2.03 (xuntil2p8(s68) | (~until2p7(s68))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3494, 3051, 17749])).
% 1.82/2.03 tff(17751,plain,
% 1.82/2.03 (~until2p7(s68)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17750, 17748])).
% 1.82/2.03 tff(17752,plain,
% 1.82/2.03 (~xuntil2p8(s67)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3500, 17751])).
% 1.82/2.03 tff(17753,plain,
% 1.82/2.03 (~until2p7(s67)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16700, 17752])).
% 1.82/2.03 tff(17754,plain,
% 1.82/2.03 (~trans(s99, s67)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4423, 17753, 16380])).
% 1.82/2.03 tff(17755,plain,
% 1.82/2.03 (~xuntil2p8(s66)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3512, 17753])).
% 1.82/2.03 tff(17756,plain,
% 1.82/2.03 (~until2p7(s66)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15020, 17755])).
% 1.82/2.03 tff(17757,plain,
% 1.82/2.03 (~xuntil2p8(s65)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3524, 17756])).
% 1.82/2.03 tff(17758,plain,
% 1.82/2.03 (~until2p7(s65)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[16706, 17757])).
% 1.82/2.03 tff(17759,plain,
% 1.82/2.03 (~xuntil2p8(s64)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3536, 17758])).
% 1.82/2.03 tff(17760,plain,
% 1.82/2.03 (xuntil2p8(s64) | (~until2p7(s64))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3542, 3051, 16709])).
% 1.82/2.03 tff(17761,plain,
% 1.82/2.03 (~until2p7(s64)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17760, 17759])).
% 1.82/2.03 tff(17762,plain,
% 1.82/2.03 (~xuntil2p8(s63)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3548, 17761])).
% 1.82/2.03 tff(17763,assumption,(~node4(s63)), introduced(assumption)).
% 1.82/2.03 tff(17764,plain,
% 1.82/2.03 (xuntil2p8(s63) | (~until2p7(s63))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3554, 3051, 17763])).
% 1.82/2.03 tff(17765,plain,
% 1.82/2.03 (~until2p7(s63)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17764, 17762])).
% 1.82/2.03 tff(17766,plain,
% 1.82/2.03 (~xuntil2p8(s62)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3560, 17765])).
% 1.82/2.03 tff(17767,assumption,(~node4(s62)), introduced(assumption)).
% 1.82/2.03 tff(17768,plain,
% 1.82/2.03 (xuntil2p8(s62) | (~until2p7(s62))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3566, 3051, 17767])).
% 1.82/2.03 tff(17769,plain,
% 1.82/2.03 (~until2p7(s62)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17768, 17766])).
% 1.82/2.03 tff(17770,plain,
% 1.82/2.03 (~xuntil2p8(s61)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3572, 17769])).
% 1.82/2.03 tff(17771,assumption,(~node4(s61)), introduced(assumption)).
% 1.82/2.03 tff(17772,plain,
% 1.82/2.03 (xuntil2p8(s61) | (~until2p7(s61))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3578, 3051, 17771])).
% 1.82/2.03 tff(17773,plain,
% 1.82/2.03 (~until2p7(s61)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17772, 17770])).
% 1.82/2.03 tff(17774,plain,
% 1.82/2.03 (~xuntil2p8(s60)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3584, 17773])).
% 1.82/2.03 tff(17775,assumption,(~node4(s60)), introduced(assumption)).
% 1.82/2.03 tff(17776,plain,
% 1.82/2.03 (xuntil2p8(s60) | (~until2p7(s60))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3590, 3051, 17775])).
% 1.82/2.03 tff(17777,plain,
% 1.82/2.03 (~until2p7(s60)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17776, 17774])).
% 1.82/2.03 tff(17778,plain,
% 1.82/2.03 (~xuntil2p8(s59)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3596, 17777])).
% 1.82/2.03 tff(17779,assumption,(~node4(s59)), introduced(assumption)).
% 1.82/2.03 tff(17780,plain,
% 1.82/2.03 (xuntil2p8(s59) | (~until2p7(s59))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3602, 3051, 17779])).
% 1.82/2.03 tff(17781,plain,
% 1.82/2.03 (~until2p7(s59)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17780, 17778])).
% 1.82/2.03 tff(17782,plain,
% 1.82/2.03 (~xuntil2p8(s58)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3608, 17781])).
% 1.82/2.03 tff(17783,assumption,(~node4(s58)), introduced(assumption)).
% 1.82/2.03 tff(17784,plain,
% 1.82/2.03 (xuntil2p8(s58) | (~until2p7(s58))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3614, 3051, 17783])).
% 1.82/2.03 tff(17785,plain,
% 1.82/2.03 (~until2p7(s58)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17784, 17782])).
% 1.82/2.03 tff(17786,plain,
% 1.82/2.03 (~xuntil2p8(s57)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3620, 17785])).
% 1.82/2.03 tff(17787,assumption,(~node4(s57)), introduced(assumption)).
% 1.82/2.03 tff(17788,plain,
% 1.82/2.03 (xuntil2p8(s57) | (~until2p7(s57))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3626, 3051, 17787])).
% 1.82/2.03 tff(17789,plain,
% 1.82/2.03 (~until2p7(s57)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17788, 17786])).
% 1.82/2.03 tff(17790,plain,
% 1.82/2.03 (~xuntil2p8(s56)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3632, 17789])).
% 1.82/2.03 tff(17791,assumption,(~node4(s56)), introduced(assumption)).
% 1.82/2.03 tff(17792,plain,
% 1.82/2.03 (xuntil2p8(s56) | (~until2p7(s56))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3638, 3051, 17791])).
% 1.82/2.03 tff(17793,plain,
% 1.82/2.03 (~until2p7(s56)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17792, 17790])).
% 1.82/2.03 tff(17794,plain,
% 1.82/2.03 (~xuntil2p8(s55)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3644, 17793])).
% 1.82/2.03 tff(17795,assumption,(~node4(s55)), introduced(assumption)).
% 1.82/2.03 tff(17796,plain,
% 1.82/2.03 (xuntil2p8(s55) | (~until2p7(s55))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3650, 3051, 17795])).
% 1.82/2.03 tff(17797,plain,
% 1.82/2.03 (~until2p7(s55)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17796, 17794])).
% 1.82/2.03 tff(17798,plain,
% 1.82/2.03 (~xuntil2p8(s54)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3656, 17797])).
% 1.82/2.03 tff(17799,assumption,(~node4(s54)), introduced(assumption)).
% 1.82/2.03 tff(17800,plain,
% 1.82/2.03 (xuntil2p8(s54) | (~until2p7(s54))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3662, 3051, 17799])).
% 1.82/2.03 tff(17801,plain,
% 1.82/2.03 (~until2p7(s54)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17800, 17798])).
% 1.82/2.03 tff(17802,plain,
% 1.82/2.03 (~xuntil2p8(s53)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3668, 17801])).
% 1.82/2.03 tff(17803,assumption,(~node4(s53)), introduced(assumption)).
% 1.82/2.03 tff(17804,plain,
% 1.82/2.03 (xuntil2p8(s53) | (~until2p7(s53))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3674, 3051, 17803])).
% 1.82/2.03 tff(17805,plain,
% 1.82/2.03 (~until2p7(s53)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17804, 17802])).
% 1.82/2.03 tff(17806,plain,
% 1.82/2.03 (~xuntil2p8(s52)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3680, 17805])).
% 1.82/2.03 tff(17807,assumption,(~node4(s52)), introduced(assumption)).
% 1.82/2.03 tff(17808,plain,
% 1.82/2.03 (xuntil2p8(s52) | (~until2p7(s52))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3686, 3051, 17807])).
% 1.82/2.03 tff(17809,plain,
% 1.82/2.03 (~until2p7(s52)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17808, 17806])).
% 1.82/2.03 tff(17810,plain,
% 1.82/2.03 (~xuntil2p8(s51)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3692, 17809])).
% 1.82/2.03 tff(17811,assumption,(~node4(s51)), introduced(assumption)).
% 1.82/2.03 tff(17812,plain,
% 1.82/2.03 (xuntil2p8(s51) | (~until2p7(s51))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3698, 3051, 17811])).
% 1.82/2.03 tff(17813,plain,
% 1.82/2.03 (~until2p7(s51)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17812, 17810])).
% 1.82/2.03 tff(17814,plain,
% 1.82/2.03 (~xuntil2p8(s50)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3704, 17813])).
% 1.82/2.03 tff(17815,assumption,(~node4(s50)), introduced(assumption)).
% 1.82/2.03 tff(17816,plain,
% 1.82/2.03 (xuntil2p8(s50) | (~until2p7(s50))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3710, 3051, 17815])).
% 1.82/2.03 tff(17817,plain,
% 1.82/2.03 (~until2p7(s50)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17816, 17814])).
% 1.82/2.03 tff(17818,plain,
% 1.82/2.03 (~xuntil2p8(s49)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3716, 17817])).
% 1.82/2.03 tff(17819,assumption,(~node4(s49)), introduced(assumption)).
% 1.82/2.03 tff(17820,plain,
% 1.82/2.03 (xuntil2p8(s49) | (~until2p7(s49))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3722, 3051, 17819])).
% 1.82/2.03 tff(17821,plain,
% 1.82/2.03 (~until2p7(s49)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17820, 17818])).
% 1.82/2.03 tff(17822,plain,
% 1.82/2.03 (~xuntil2p8(s48)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3728, 17821])).
% 1.82/2.03 tff(17823,assumption,(~node4(s48)), introduced(assumption)).
% 1.82/2.03 tff(17824,plain,
% 1.82/2.03 (xuntil2p8(s48) | (~until2p7(s48))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3734, 3051, 17823])).
% 1.82/2.03 tff(17825,plain,
% 1.82/2.03 (~until2p7(s48)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17824, 17822])).
% 1.82/2.03 tff(17826,plain,
% 1.82/2.03 (~trans(s99, s48)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4368, 17825, 16380])).
% 1.82/2.03 tff(17827,plain,
% 1.82/2.03 (~trans(s99, s57)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[5308, 17789, 16380])).
% 1.82/2.03 tff(17828,plain,
% 1.82/2.03 (~trans(s99, s60)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[5330, 17777, 16380])).
% 1.82/2.03 tff(17829,plain,
% 1.82/2.03 (~trans(s99, s51)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17172, 17806, 16380, 17164])).
% 1.82/2.03 tff(17830,plain,
% 1.82/2.03 (~xuntil2p8(s47)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3740, 17825])).
% 1.82/2.03 tff(17831,plain,
% 1.82/2.03 (always3(s41)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[5975, 4382])).
% 1.82/2.03 tff(17832,plain,
% 1.82/2.03 (always3(s42)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[126, 17831])).
% 1.82/2.03 tff(17833,plain,
% 1.82/2.03 (always3(s43)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[114, 17832])).
% 1.82/2.03 tff(17834,plain,
% 1.82/2.03 (~m_main_v_state(s43, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15732, 3154, 17833])).
% 1.82/2.03 tff(17835,plain,
% 1.82/2.03 (~node4(s42)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15765, 17834])).
% 1.82/2.03 tff(17836,plain,
% 1.82/2.03 (~m_main_v_state(s42, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15759, 3154, 17832])).
% 1.82/2.03 tff(17837,plain,
% 1.82/2.03 (~m_main_v_state(s41, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15788, 3154, 17831])).
% 1.82/2.03 tff(17838,plain,
% 1.82/2.03 (m_main_v_state(s41, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15792, 19, 17837])).
% 1.82/2.03 tff(17839,plain,
% 1.82/2.03 (~m_main_v_request(s41)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15864, 17838, 17836])).
% 1.82/2.03 tff(17840,plain,
% 1.82/2.03 (~node4(s41)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15855, 3141, 17839])).
% 1.82/2.03 tff(17841,plain,
% 1.82/2.03 (until2p7(s41)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4390, 4382, 4303])).
% 1.82/2.03 tff(17842,plain,
% 1.82/2.03 (node4(s41) | xuntil2p8(s41)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3818, 3051, 17841])).
% 1.82/2.03 tff(17843,plain,
% 1.82/2.03 (xuntil2p8(s41)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17842, 17840])).
% 1.82/2.03 tff(17844,plain,
% 1.82/2.03 (until2p7(s42)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3812, 17843])).
% 1.82/2.03 tff(17845,plain,
% 1.82/2.03 (xuntil2p8(s42)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3806, 3051, 17844, 17835])).
% 1.82/2.03 tff(17846,plain,
% 1.82/2.03 (until2p7(s43)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3800, 17845])).
% 1.82/2.03 tff(17847,plain,
% 1.82/2.03 (always3(s44)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[102, 17833])).
% 1.82/2.03 tff(17848,plain,
% 1.82/2.03 (~m_main_v_state(s44, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15704, 3154, 17847])).
% 1.82/2.03 tff(17849,plain,
% 1.82/2.03 (m_main_v_state(s43, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15736, 19, 17834])).
% 1.82/2.03 tff(17850,plain,
% 1.82/2.03 (~m_main_v_request(s43)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15885, 17849, 17848])).
% 1.82/2.03 tff(17851,plain,
% 1.82/2.03 (~node4(s43)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15876, 3141, 17850])).
% 1.82/2.03 tff(17852,plain,
% 1.82/2.03 (xuntil2p8(s43) | (~until2p7(s43))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3794, 3051, 17851])).
% 1.82/2.03 tff(17853,plain,
% 1.82/2.03 (xuntil2p8(s43)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17852, 17846])).
% 1.82/2.03 tff(17854,plain,
% 1.82/2.03 (until2p7(s44)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3788, 17853])).
% 1.82/2.03 tff(17855,plain,
% 1.82/2.03 (always3(s45)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[90, 17847])).
% 1.82/2.03 tff(17856,plain,
% 1.82/2.03 (always3(s46)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[78, 17855])).
% 1.82/2.03 tff(17857,plain,
% 1.82/2.03 (always3(s47)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[66, 17856])).
% 1.82/2.03 tff(17858,plain,
% 1.82/2.03 (~m_main_v_state(s47, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15906, 3154, 17857])).
% 1.82/2.03 tff(17859,plain,
% 1.82/2.03 (~m_main_v_state(s46, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15662, 3154, 17856])).
% 1.82/2.03 tff(17860,plain,
% 1.82/2.03 (m_main_v_state(s46, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15946, 19, 17859])).
% 1.82/2.03 tff(17861,plain,
% 1.82/2.03 (~m_main_v_request(s46)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15940, 17860, 17858])).
% 1.82/2.03 tff(17862,plain,
% 1.82/2.03 (~node4(s46)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15931, 3141, 17861])).
% 1.82/2.03 tff(17863,plain,
% 1.82/2.03 (m_main_v_state(s47, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15911, 19, 17858])).
% 1.82/2.03 tff(17864,plain,
% 1.82/2.03 (~m_main_v_request(s47)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15920, 17863, 15908])).
% 1.82/2.03 tff(17865,plain,
% 1.82/2.03 (~node4(s47)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15924, 3141, 17864])).
% 1.82/2.03 tff(17866,assumption,(~xuntil2p8(s47)), introduced(assumption)).
% 1.82/2.03 tff(17867,plain,
% 1.82/2.03 (node4(s47) | (~until2p7(s47))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3746, 3051, 17866])).
% 1.82/2.03 tff(17868,plain,
% 1.82/2.03 (~until2p7(s47)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17867, 17865])).
% 1.82/2.03 tff(17869,plain,
% 1.82/2.03 (~xuntil2p8(s46)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3752, 17868])).
% 1.82/2.03 tff(17870,plain,
% 1.82/2.03 (~until2p7(s46)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3758, 3051, 17869, 17862])).
% 1.82/2.03 tff(17871,plain,
% 1.82/2.03 (~xuntil2p8(s45)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3764, 17870])).
% 1.82/2.03 tff(17872,plain,
% 1.82/2.03 (~m_main_v_state(s45, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15669, 3154, 17855])).
% 1.82/2.03 tff(17873,plain,
% 1.82/2.03 (m_main_v_state(s45, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15673, 19, 17872])).
% 1.82/2.03 tff(17874,plain,
% 1.82/2.03 (~m_main_v_request(s45)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15682, 17873, 17859])).
% 1.82/2.03 tff(17875,plain,
% 1.82/2.03 (~node4(s45)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15686, 3141, 17874])).
% 1.82/2.03 tff(17876,plain,
% 1.82/2.03 (xuntil2p8(s45) | (~until2p7(s45))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3770, 3051, 17875])).
% 1.82/2.03 tff(17877,plain,
% 1.82/2.03 (~until2p7(s45)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17876, 17871])).
% 1.82/2.03 tff(17878,plain,
% 1.82/2.03 (~xuntil2p8(s44)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3776, 17877])).
% 1.82/2.03 tff(17879,plain,
% 1.82/2.03 (m_main_v_state(s44, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15708, 19, 17848])).
% 1.82/2.03 tff(17880,plain,
% 1.82/2.03 (~m_main_v_request(s44)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15717, 17879, 17872])).
% 1.82/2.03 tff(17881,plain,
% 1.82/2.03 (~node4(s44)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[15721, 3141, 17880])).
% 1.82/2.03 tff(17882,plain,
% 1.82/2.03 (xuntil2p8(s44) | (~until2p7(s44))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[3782, 3051, 17881])).
% 1.82/2.03 tff(17883,plain,
% 1.82/2.03 ($false),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17882, 17878, 17854])).
% 1.82/2.03 tff(17884,plain,((~trans(s99, s41)) | xuntil2p8(s47) | m_main_v_state(s48, c_busy) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.03 tff(17885,plain,
% 1.82/2.03 (~trans(s99, s41)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17884, 17830, 15908, 16380])).
% 1.82/2.03 tff(17886,plain,
% 1.82/2.03 (always3(s19)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[5986, 4404])).
% 1.82/2.03 tff(17887,plain,
% 1.82/2.03 (always3(s20)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[390, 17886])).
% 1.82/2.03 tff(17888,plain,
% 1.82/2.03 (always3(s21)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[378, 17887])).
% 1.82/2.03 tff(17889,plain,
% 1.82/2.03 (always3(s22)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[366, 17888])).
% 1.82/2.03 tff(17890,plain,
% 1.82/2.03 (~m_main_v_state(s22, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7404, 3154, 17889])).
% 1.82/2.03 tff(17891,plain,
% 1.82/2.03 (~node4(s21)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7507, 17890])).
% 1.82/2.03 tff(17892,plain,
% 1.82/2.03 (~m_main_v_state(s21, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7440, 3154, 17888])).
% 1.82/2.03 tff(17893,plain,
% 1.82/2.03 (~m_main_v_state(s20, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7432, 3154, 17887])).
% 1.82/2.03 tff(17894,plain,
% 1.82/2.03 (m_main_v_state(s20, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7444, 19, 17893])).
% 1.82/2.03 tff(17895,plain,
% 1.82/2.03 (~m_main_v_request(s20)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7453, 17894, 17892])).
% 1.82/2.03 tff(17896,plain,
% 1.82/2.03 (~node4(s20)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7457, 3141, 17895])).
% 1.82/2.03 tff(17897,plain,
% 1.82/2.03 (~m_main_v_state(s19, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7336, 3154, 17886])).
% 1.82/2.03 tff(17898,assumption,(~m_main_v_state(s19, c_ready)), introduced(assumption)).
% 1.82/2.03 tff(17899,assumption,(~m_main_v_state(s19, c_busy)), introduced(assumption)).
% 1.82/2.03 tff(17900,plain,
% 1.82/2.03 ($false),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7479, 19, 17899, 17898])).
% 1.82/2.03 tff(17901,plain,(m_main_v_state(s19, c_ready) | m_main_v_state(s19, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.03 tff(17902,plain,
% 1.82/2.03 (m_main_v_state(s19, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17901, 17897])).
% 1.82/2.03 tff(17903,plain,
% 1.82/2.03 (~m_main_v_request(s19)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7473, 17893, 17902])).
% 1.82/2.03 tff(17904,plain,
% 1.82/2.03 (~node4(s19)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7464, 3141, 17903])).
% 1.82/2.03 tff(17905,plain,
% 1.82/2.03 (until2p7(s19)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4412, 4404, 4303])).
% 1.82/2.03 tff(17906,plain,
% 1.82/2.03 (node4(s19) | xuntil2p8(s19)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4218, 3051, 17905])).
% 1.82/2.03 tff(17907,plain,
% 1.82/2.03 (xuntil2p8(s19)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17906, 17904])).
% 1.82/2.03 tff(17908,plain,
% 1.82/2.03 (until2p7(s20)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4212, 17907])).
% 1.82/2.03 tff(17909,plain,
% 1.82/2.03 (xuntil2p8(s20)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4206, 3051, 17908, 17896])).
% 1.82/2.03 tff(17910,plain,
% 1.82/2.03 (until2p7(s21)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4200, 17909])).
% 1.82/2.03 tff(17911,plain,
% 1.82/2.03 (xuntil2p8(s21)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4194, 3051, 17910, 17891])).
% 1.82/2.03 tff(17912,plain,
% 1.82/2.03 (until2p7(s22)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4188, 17911])).
% 1.82/2.03 tff(17913,plain,
% 1.82/2.03 (always3(s23)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[354, 17889])).
% 1.82/2.03 tff(17914,plain,
% 1.82/2.03 (~m_main_v_state(s23, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4160, 3154, 17913])).
% 1.82/2.03 tff(17915,plain,
% 1.82/2.03 (m_main_v_state(s22, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7408, 19, 17890])).
% 1.82/2.03 tff(17916,plain,
% 1.82/2.03 (~m_main_v_request(s22)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7379, 17915, 17914])).
% 1.82/2.03 tff(17917,plain,
% 1.82/2.03 (~node4(s22)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7370, 3141, 17916])).
% 1.82/2.03 tff(17918,plain,
% 1.82/2.03 (xuntil2p8(s22) | (~until2p7(s22))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4182, 3051, 17917])).
% 1.82/2.03 tff(17919,plain,
% 1.82/2.03 (xuntil2p8(s22)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17918, 17912])).
% 1.82/2.03 tff(17920,plain,
% 1.82/2.03 (until2p7(s23)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4175, 17919])).
% 1.82/2.03 tff(17921,plain,
% 1.82/2.03 (xuntil2p8(s23)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4170, 17920])).
% 1.82/2.03 tff(17922,plain,
% 1.82/2.03 (until2p7(s24)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4130, 17921])).
% 1.82/2.03 tff(17923,plain,
% 1.82/2.03 (xuntil2p8(s24) | (~until2p7(s24))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4124, 3051, 7561])).
% 1.82/2.03 tff(17924,plain,
% 1.82/2.03 (xuntil2p8(s24)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17923, 17922])).
% 1.82/2.03 tff(17925,plain,
% 1.82/2.03 (until2p7(s25)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4118, 17924])).
% 1.82/2.03 tff(17926,plain,
% 1.82/2.03 (always3(s24)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[342, 17913])).
% 1.82/2.03 tff(17927,plain,
% 1.82/2.03 (always3(s25)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[330, 17926])).
% 1.82/2.03 tff(17928,plain,
% 1.82/2.03 (always3(s26)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[318, 17927])).
% 1.82/2.03 tff(17929,plain,
% 1.82/2.03 (~m_main_v_state(s26, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7627, 3154, 17928])).
% 1.82/2.03 tff(17930,plain,
% 1.82/2.03 (~m_main_v_state(s25, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7558, 3154, 17927])).
% 1.82/2.03 tff(17931,assumption,(node1(s24)), introduced(assumption)).
% 1.82/2.03 tff(17932,plain,
% 1.82/2.03 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s24, c_ready) | (~node1(s24)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s24, c_ready) | (~node1(s24)))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(17933,plain,
% 1.82/2.03 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s24, c_ready) | (~node1(s24)))),
% 1.82/2.03 inference(quant_inst,[status(thm)],[])).
% 1.82/2.03 tff(17934,plain,
% 1.82/2.03 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s24, c_ready) | (~node1(s24))),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[17933, 17932])).
% 1.82/2.03 tff(17935,plain,
% 1.82/2.03 (m_main_v_state(s24, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17934, 10750, 17931])).
% 1.82/2.03 tff(17936,plain,
% 1.82/2.03 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s24) | (~node1(s24)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s24) | (~node1(s24)))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(17937,plain,
% 1.82/2.03 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s24) | (~node1(s24)))),
% 1.82/2.03 inference(quant_inst,[status(thm)],[])).
% 1.82/2.03 tff(17938,plain,
% 1.82/2.03 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s24) | (~node1(s24))),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[17937, 17936])).
% 1.82/2.03 tff(17939,plain,
% 1.82/2.03 (m_main_v_request(s24)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17938, 10737, 17931])).
% 1.82/2.03 tff(17940,plain,
% 1.82/2.03 ($false),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7544, 17939, 17935, 7532])).
% 1.82/2.03 tff(17941,plain,((~node1(s24)) | m_main_v_state(s25, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.03 tff(17942,plain,
% 1.82/2.03 (~node1(s24)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17941, 17930])).
% 1.82/2.03 tff(17943,plain,
% 1.82/2.03 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s24, s25)) | m_main_v_state(s25, c_busy) | node1(s24) | m_main_v_state(s25, c_ready))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | node1(s24) | m_main_v_state(s25, c_ready))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(17944,plain,
% 1.82/2.03 ((node1(s24) | m_main_v_state(s25, c_ready) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy)) <=> ((~node2(s24, s25)) | m_main_v_state(s25, c_busy) | node1(s24) | m_main_v_state(s25, c_ready))),
% 1.82/2.03 inference(rewrite,[status(thm)],[])).
% 1.82/2.03 tff(17945,plain,
% 1.82/2.03 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s24) | m_main_v_state(s25, c_ready) | (~node2(s24, s25)) | m_main_v_state(s25, 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))) | ((~node2(s24, s25)) | m_main_v_state(s25, c_busy) | node1(s24) | m_main_v_state(s25, c_ready)))),
% 1.82/2.03 inference(monotonicity,[status(thm)],[17944])).
% 1.82/2.03 tff(17946,plain,
% 1.82/2.03 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s24) | m_main_v_state(s25, c_ready) | (~node2(s24, s25)) | m_main_v_state(s25, 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))) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | node1(s24) | m_main_v_state(s25, c_ready))),
% 1.82/2.03 inference(transitivity,[status(thm)],[17945, 17943])).
% 1.82/2.03 tff(17947,plain,
% 1.82/2.03 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s24) | m_main_v_state(s25, c_ready) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy))),
% 1.82/2.03 inference(quant_inst,[status(thm)],[])).
% 1.82/2.03 tff(17948,plain,
% 1.82/2.03 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | node1(s24) | m_main_v_state(s25, c_ready)),
% 1.82/2.03 inference(modus_ponens,[status(thm)],[17947, 17946])).
% 1.82/2.03 tff(17949,plain,
% 1.82/2.03 (m_main_v_state(s25, c_busy) | node1(s24) | m_main_v_state(s25, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17948, 10720, 7540])).
% 1.82/2.03 tff(17950,plain,
% 1.82/2.03 (m_main_v_state(s25, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17949, 17930, 17942])).
% 1.82/2.03 tff(17951,plain,
% 1.82/2.03 (~m_main_v_request(s25)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7664, 17950, 17929])).
% 1.82/2.03 tff(17952,plain,
% 1.82/2.03 (~node4(s25)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7655, 3141, 17951])).
% 1.82/2.03 tff(17953,plain,
% 1.82/2.03 (xuntil2p8(s25) | (~until2p7(s25))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4112, 3051, 17952])).
% 1.82/2.03 tff(17954,plain,
% 1.82/2.03 (xuntil2p8(s25)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17953, 17925])).
% 1.82/2.03 tff(17955,plain,
% 1.82/2.03 (until2p7(s26)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4106, 17954])).
% 1.82/2.03 tff(17956,plain,
% 1.82/2.03 (always3(s27)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[306, 17928])).
% 1.82/2.03 tff(17957,plain,
% 1.82/2.03 (~m_main_v_state(s27, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4078, 3154, 17956])).
% 1.82/2.03 tff(17958,plain,
% 1.82/2.03 (m_main_v_state(s26, c_ready)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7633, 19, 17929])).
% 1.82/2.03 tff(17959,plain,
% 1.82/2.03 (~m_main_v_request(s26)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7642, 17958, 17957])).
% 1.82/2.03 tff(17960,plain,
% 1.82/2.03 (~node4(s26)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7646, 3141, 17959])).
% 1.82/2.03 tff(17961,plain,
% 1.82/2.03 (xuntil2p8(s26) | (~until2p7(s26))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4100, 3051, 17960])).
% 1.82/2.03 tff(17962,plain,
% 1.82/2.03 (xuntil2p8(s26)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17961, 17955])).
% 1.82/2.03 tff(17963,plain,
% 1.82/2.03 (until2p7(s27)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4093, 17962])).
% 1.82/2.03 tff(17964,plain,
% 1.82/2.03 (xuntil2p8(s27)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4088, 17963])).
% 1.82/2.03 tff(17965,plain,
% 1.82/2.03 (until2p7(s28)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4048, 17964])).
% 1.82/2.03 tff(17966,plain,
% 1.82/2.03 (always3(s28)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[294, 17956])).
% 1.82/2.03 tff(17967,plain,
% 1.82/2.03 (always3(s29)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[282, 17966])).
% 1.82/2.03 tff(17968,plain,
% 1.82/2.03 (~m_main_v_state(s29, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7720, 3154, 17967])).
% 1.82/2.03 tff(17969,plain,
% 1.82/2.03 (~node4(s28)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7755, 17968])).
% 1.82/2.03 tff(17970,plain,
% 1.82/2.03 (xuntil2p8(s28) | (~until2p7(s28))),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4042, 3051, 17969])).
% 1.82/2.03 tff(17971,plain,
% 1.82/2.03 (xuntil2p8(s28)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[17970, 17965])).
% 1.82/2.03 tff(17972,plain,
% 1.82/2.03 (until2p7(s29)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[4036, 17971])).
% 1.82/2.03 tff(17973,plain,
% 1.82/2.03 (always3(s30)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[270, 17967])).
% 1.82/2.03 tff(17974,plain,
% 1.82/2.03 (~m_main_v_state(s30, c_busy)),
% 1.82/2.03 inference(unit_resolution,[status(thm)],[7697, 3154, 17973])).
% 1.82/2.03 tff(17975,assumption,(~m_main_v_state(s29, c_ready)), introduced(assumption)).
% 1.82/2.03 tff(17976,plain,
% 1.82/2.03 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s28, s29)) | m_main_v_state(s29, c_busy) | node1(s28) | m_main_v_state(s29, c_ready))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | node1(s28) | m_main_v_state(s29, c_ready))),
% 1.82/2.04 inference(rewrite,[status(thm)],[])).
% 1.82/2.04 tff(17977,plain,
% 1.82/2.04 ((node1(s28) | m_main_v_state(s29, c_ready) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy)) <=> ((~node2(s28, s29)) | m_main_v_state(s29, c_busy) | node1(s28) | m_main_v_state(s29, c_ready))),
% 1.82/2.04 inference(rewrite,[status(thm)],[])).
% 1.82/2.04 tff(17978,plain,
% 1.82/2.04 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s28) | m_main_v_state(s29, c_ready) | (~node2(s28, 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))) | ((~node2(s28, s29)) | m_main_v_state(s29, c_busy) | node1(s28) | m_main_v_state(s29, c_ready)))),
% 1.82/2.04 inference(monotonicity,[status(thm)],[17977])).
% 1.82/2.04 tff(17979,plain,
% 1.82/2.04 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s28) | m_main_v_state(s29, c_ready) | (~node2(s28, 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))) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | node1(s28) | m_main_v_state(s29, c_ready))),
% 1.82/2.04 inference(transitivity,[status(thm)],[17978, 17976])).
% 1.82/2.04 tff(17980,plain,
% 1.82/2.04 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s28) | m_main_v_state(s29, c_ready) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy))),
% 1.82/2.04 inference(quant_inst,[status(thm)],[])).
% 1.82/2.04 tff(17981,plain,
% 1.82/2.04 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | node1(s28) | m_main_v_state(s29, c_ready)),
% 1.82/2.04 inference(modus_ponens,[status(thm)],[17980, 17979])).
% 1.82/2.04 tff(17982,plain,
% 1.82/2.04 (m_main_v_state(s29, c_busy) | node1(s28) | m_main_v_state(s29, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[17981, 10720, 7743])).
% 1.82/2.04 tff(17983,plain,
% 1.82/2.04 (node1(s28)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[17982, 7734, 17975])).
% 1.82/2.04 tff(17984,plain,
% 1.82/2.04 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s28, c_ready) | (~node1(s28)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s28, c_ready) | (~node1(s28)))),
% 1.82/2.04 inference(rewrite,[status(thm)],[])).
% 1.82/2.04 tff(17985,plain,
% 1.82/2.04 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s28, c_ready) | (~node1(s28)))),
% 1.82/2.04 inference(quant_inst,[status(thm)],[])).
% 1.82/2.04 tff(17986,plain,
% 1.82/2.04 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s28, c_ready) | (~node1(s28))),
% 1.82/2.04 inference(modus_ponens,[status(thm)],[17985, 17984])).
% 1.82/2.04 tff(17987,plain,
% 1.82/2.04 (m_main_v_state(s28, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[17986, 10750, 17983])).
% 1.82/2.04 tff(17988,plain,
% 1.82/2.04 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s28) | (~node1(s28)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s28) | (~node1(s28)))),
% 1.82/2.04 inference(rewrite,[status(thm)],[])).
% 1.82/2.04 tff(17989,plain,
% 1.82/2.04 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s28) | (~node1(s28)))),
% 1.82/2.04 inference(quant_inst,[status(thm)],[])).
% 1.82/2.04 tff(17990,plain,
% 1.82/2.04 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s28) | (~node1(s28))),
% 1.82/2.04 inference(modus_ponens,[status(thm)],[17989, 17988])).
% 1.82/2.04 tff(17991,plain,
% 1.82/2.04 (m_main_v_request(s28)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[17990, 10737, 17983])).
% 1.82/2.04 tff(17992,plain,
% 1.82/2.04 ($false),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7747, 17991, 17987, 7734])).
% 1.82/2.04 tff(17993,plain,(m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.04 tff(17994,plain,
% 1.82/2.04 (m_main_v_state(s29, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[17993, 17968])).
% 1.82/2.04 tff(17995,plain,
% 1.82/2.04 (~m_main_v_request(s29)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7713, 17994, 17974])).
% 1.82/2.04 tff(17996,plain,
% 1.82/2.04 (~node4(s29)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7704, 3141, 17995])).
% 1.82/2.04 tff(17997,plain,
% 1.82/2.04 (xuntil2p8(s29) | (~until2p7(s29))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4030, 3051, 17996])).
% 1.82/2.04 tff(17998,plain,
% 1.82/2.04 (xuntil2p8(s29)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[17997, 17972])).
% 1.82/2.04 tff(17999,plain,
% 1.82/2.04 (until2p7(s30)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4024, 17998])).
% 1.82/2.04 tff(18000,plain,
% 1.82/2.04 (always3(s31)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[258, 17973])).
% 1.82/2.04 tff(18001,plain,
% 1.82/2.04 (~m_main_v_state(s31, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7860, 3154, 18000])).
% 1.82/2.04 tff(18002,plain,
% 1.82/2.04 (~node4(s30)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7889, 18001])).
% 1.82/2.04 tff(18003,plain,
% 1.82/2.04 (xuntil2p8(s30) | (~until2p7(s30))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4018, 3051, 18002])).
% 1.82/2.04 tff(18004,plain,
% 1.82/2.04 (xuntil2p8(s30)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18003, 17999])).
% 1.82/2.04 tff(18005,plain,
% 1.82/2.04 (until2p7(s31)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4012, 18004])).
% 1.82/2.04 tff(18006,plain,
% 1.82/2.04 (always3(s32)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[246, 18000])).
% 1.82/2.04 tff(18007,plain,
% 1.82/2.04 (~m_main_v_state(s32, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3984, 3154, 18006])).
% 1.82/2.04 tff(18008,assumption,(node1(s30)), introduced(assumption)).
% 1.82/2.04 tff(18009,plain,
% 1.82/2.04 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s30, c_ready) | (~node1(s30)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s30, c_ready) | (~node1(s30)))),
% 1.82/2.04 inference(rewrite,[status(thm)],[])).
% 1.82/2.04 tff(18010,plain,
% 1.82/2.04 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s30, c_ready) | (~node1(s30)))),
% 1.82/2.04 inference(quant_inst,[status(thm)],[])).
% 1.82/2.04 tff(18011,plain,
% 1.82/2.04 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s30, c_ready) | (~node1(s30))),
% 1.82/2.04 inference(modus_ponens,[status(thm)],[18010, 18009])).
% 1.82/2.04 tff(18012,plain,
% 1.82/2.04 (m_main_v_state(s30, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18011, 10750, 18008])).
% 1.82/2.04 tff(18013,plain,
% 1.82/2.04 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s30) | (~node1(s30)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s30) | (~node1(s30)))),
% 1.82/2.04 inference(rewrite,[status(thm)],[])).
% 1.82/2.04 tff(18014,plain,
% 1.82/2.04 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s30) | (~node1(s30)))),
% 1.82/2.04 inference(quant_inst,[status(thm)],[])).
% 1.82/2.04 tff(18015,plain,
% 1.82/2.04 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s30) | (~node1(s30))),
% 1.82/2.04 inference(modus_ponens,[status(thm)],[18014, 18013])).
% 1.82/2.04 tff(18016,plain,
% 1.82/2.04 (m_main_v_request(s30)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18015, 10737, 18008])).
% 1.82/2.04 tff(18017,plain,
% 1.82/2.04 ($false),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7881, 18016, 18012, 7868])).
% 1.82/2.04 tff(18018,plain,((~node1(s30)) | m_main_v_state(s31, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.04 tff(18019,plain,
% 1.82/2.04 (~node1(s30)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18018, 18001])).
% 1.82/2.04 tff(18020,plain,
% 1.82/2.04 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s30, s31)) | m_main_v_state(s31, c_busy) | node1(s30) | m_main_v_state(s31, c_ready))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | node1(s30) | m_main_v_state(s31, c_ready))),
% 1.82/2.04 inference(rewrite,[status(thm)],[])).
% 1.82/2.04 tff(18021,plain,
% 1.82/2.04 ((node1(s30) | m_main_v_state(s31, c_ready) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy)) <=> ((~node2(s30, s31)) | m_main_v_state(s31, c_busy) | node1(s30) | m_main_v_state(s31, c_ready))),
% 1.82/2.04 inference(rewrite,[status(thm)],[])).
% 1.82/2.04 tff(18022,plain,
% 1.82/2.04 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s30) | m_main_v_state(s31, c_ready) | (~node2(s30, s31)) | m_main_v_state(s31, 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))) | ((~node2(s30, s31)) | m_main_v_state(s31, c_busy) | node1(s30) | m_main_v_state(s31, c_ready)))),
% 1.82/2.04 inference(monotonicity,[status(thm)],[18021])).
% 1.82/2.04 tff(18023,plain,
% 1.82/2.04 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s30) | m_main_v_state(s31, c_ready) | (~node2(s30, s31)) | m_main_v_state(s31, 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))) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | node1(s30) | m_main_v_state(s31, c_ready))),
% 1.82/2.04 inference(transitivity,[status(thm)],[18022, 18020])).
% 1.82/2.04 tff(18024,plain,
% 1.82/2.04 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s30) | m_main_v_state(s31, c_ready) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy))),
% 1.82/2.04 inference(quant_inst,[status(thm)],[])).
% 1.82/2.04 tff(18025,plain,
% 1.82/2.04 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | node1(s30) | m_main_v_state(s31, c_ready)),
% 1.82/2.04 inference(modus_ponens,[status(thm)],[18024, 18023])).
% 1.82/2.04 tff(18026,plain,
% 1.82/2.04 (m_main_v_state(s31, c_busy) | node1(s30) | m_main_v_state(s31, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18025, 10720, 7877])).
% 1.82/2.04 tff(18027,plain,
% 1.82/2.04 (m_main_v_state(s31, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18026, 18019, 18001])).
% 1.82/2.04 tff(18028,plain,
% 1.82/2.04 (~m_main_v_request(s31)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7849, 18027, 18007])).
% 1.82/2.04 tff(18029,plain,
% 1.82/2.04 (~node4(s31)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7840, 3141, 18028])).
% 1.82/2.04 tff(18030,plain,
% 1.82/2.04 (xuntil2p8(s31) | (~until2p7(s31))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4006, 3051, 18029])).
% 1.82/2.04 tff(18031,plain,
% 1.82/2.04 (xuntil2p8(s31)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18030, 18005])).
% 1.82/2.04 tff(18032,plain,
% 1.82/2.04 (until2p7(s32)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3999, 18031])).
% 1.82/2.04 tff(18033,plain,
% 1.82/2.04 (xuntil2p8(s32)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3994, 18032])).
% 1.82/2.04 tff(18034,plain,
% 1.82/2.04 (until2p7(s33)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3954, 18033])).
% 1.82/2.04 tff(18035,plain,
% 1.82/2.04 (always3(s33)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[234, 18006])).
% 1.82/2.04 tff(18036,plain,
% 1.82/2.04 (always3(s34)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[222, 18035])).
% 1.82/2.04 tff(18037,plain,
% 1.82/2.04 (~m_main_v_state(s34, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7928, 3154, 18036])).
% 1.82/2.04 tff(18038,plain,
% 1.82/2.04 (~node4(s33)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7961, 18037])).
% 1.82/2.04 tff(18039,plain,
% 1.82/2.04 (xuntil2p8(s33) | (~until2p7(s33))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3948, 3051, 18038])).
% 1.82/2.04 tff(18040,plain,
% 1.82/2.04 (xuntil2p8(s33)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18039, 18034])).
% 1.82/2.04 tff(18041,plain,
% 1.82/2.04 (always3(s35)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[210, 18036])).
% 1.82/2.04 tff(18042,plain,
% 1.82/2.04 (always3(s36)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[198, 18041])).
% 1.82/2.04 tff(18043,plain,
% 1.82/2.04 (always3(s37)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[186, 18042])).
% 1.82/2.04 tff(18044,plain,
% 1.82/2.04 (always3(s38)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[174, 18043])).
% 1.82/2.04 tff(18045,plain,
% 1.82/2.04 (always3(s39)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[162, 18044])).
% 1.82/2.04 tff(18046,plain,
% 1.82/2.04 (always3(s40)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[150, 18045])).
% 1.82/2.04 tff(18047,plain,
% 1.82/2.04 (always3(s41)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[138, 18046])).
% 1.82/2.04 tff(18048,plain,
% 1.82/2.04 (always3(s42)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[126, 18047])).
% 1.82/2.04 tff(18049,plain,
% 1.82/2.04 (always3(s43)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[114, 18048])).
% 1.82/2.04 tff(18050,plain,
% 1.82/2.04 (always3(s44)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[102, 18049])).
% 1.82/2.04 tff(18051,plain,
% 1.82/2.04 (always3(s45)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[90, 18050])).
% 1.82/2.04 tff(18052,plain,
% 1.82/2.04 (always3(s46)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[78, 18051])).
% 1.82/2.04 tff(18053,plain,
% 1.82/2.04 (always3(s47)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[66, 18052])).
% 1.82/2.04 tff(18054,plain,
% 1.82/2.04 (~m_main_v_state(s47, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15906, 3154, 18053])).
% 1.82/2.04 tff(18055,plain,
% 1.82/2.04 (~m_main_v_state(s46, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15662, 3154, 18052])).
% 1.82/2.04 tff(18056,plain,
% 1.82/2.04 (m_main_v_state(s46, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15946, 19, 18055])).
% 1.82/2.04 tff(18057,plain,
% 1.82/2.04 (~m_main_v_request(s46)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15940, 18056, 18054])).
% 1.82/2.04 tff(18058,plain,
% 1.82/2.04 (~node4(s46)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15931, 3141, 18057])).
% 1.82/2.04 tff(18059,plain,
% 1.82/2.04 (m_main_v_state(s47, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15911, 19, 18054])).
% 1.82/2.04 tff(18060,plain,
% 1.82/2.04 (~m_main_v_request(s47)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15920, 18059, 15908])).
% 1.82/2.04 tff(18061,plain,
% 1.82/2.04 (~node4(s47)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15924, 3141, 18060])).
% 1.82/2.04 tff(18062,plain,
% 1.82/2.04 (~until2p7(s47)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[17867, 18061])).
% 1.82/2.04 tff(18063,plain,
% 1.82/2.04 (~xuntil2p8(s46)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3752, 18062])).
% 1.82/2.04 tff(18064,plain,
% 1.82/2.04 (~until2p7(s46)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3758, 3051, 18063, 18058])).
% 1.82/2.04 tff(18065,plain,
% 1.82/2.04 (~xuntil2p8(s45)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3764, 18064])).
% 1.82/2.04 tff(18066,plain,
% 1.82/2.04 (~m_main_v_state(s45, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15669, 3154, 18051])).
% 1.82/2.04 tff(18067,plain,
% 1.82/2.04 (m_main_v_state(s45, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15673, 19, 18066])).
% 1.82/2.04 tff(18068,plain,
% 1.82/2.04 (~m_main_v_request(s45)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15682, 18067, 18055])).
% 1.82/2.04 tff(18069,plain,
% 1.82/2.04 (~node4(s45)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15686, 3141, 18068])).
% 1.82/2.04 tff(18070,plain,
% 1.82/2.04 (xuntil2p8(s45) | (~until2p7(s45))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3770, 3051, 18069])).
% 1.82/2.04 tff(18071,plain,
% 1.82/2.04 (~until2p7(s45)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18070, 18065])).
% 1.82/2.04 tff(18072,plain,
% 1.82/2.04 (~xuntil2p8(s44)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3776, 18071])).
% 1.82/2.04 tff(18073,plain,
% 1.82/2.04 (~m_main_v_state(s44, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15704, 3154, 18050])).
% 1.82/2.04 tff(18074,plain,
% 1.82/2.04 (m_main_v_state(s44, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15708, 19, 18073])).
% 1.82/2.04 tff(18075,plain,
% 1.82/2.04 (~m_main_v_request(s44)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15717, 18074, 18066])).
% 1.82/2.04 tff(18076,plain,
% 1.82/2.04 (~node4(s44)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15721, 3141, 18075])).
% 1.82/2.04 tff(18077,plain,
% 1.82/2.04 (xuntil2p8(s44) | (~until2p7(s44))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3782, 3051, 18076])).
% 1.82/2.04 tff(18078,plain,
% 1.82/2.04 (~until2p7(s44)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18077, 18072])).
% 1.82/2.04 tff(18079,plain,
% 1.82/2.04 (~xuntil2p8(s43)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3788, 18078])).
% 1.82/2.04 tff(18080,plain,
% 1.82/2.04 (~m_main_v_state(s43, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15732, 3154, 18049])).
% 1.82/2.04 tff(18081,plain,
% 1.82/2.04 (m_main_v_state(s43, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15736, 19, 18080])).
% 1.82/2.04 tff(18082,plain,
% 1.82/2.04 (~m_main_v_request(s43)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15885, 18081, 18073])).
% 1.82/2.04 tff(18083,plain,
% 1.82/2.04 (~node4(s43)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15876, 3141, 18082])).
% 1.82/2.04 tff(18084,plain,
% 1.82/2.04 (xuntil2p8(s43) | (~until2p7(s43))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3794, 3051, 18083])).
% 1.82/2.04 tff(18085,plain,
% 1.82/2.04 (~until2p7(s43)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18084, 18079])).
% 1.82/2.04 tff(18086,plain,
% 1.82/2.04 (~xuntil2p8(s42)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3800, 18085])).
% 1.82/2.04 tff(18087,plain,
% 1.82/2.04 (~node4(s42)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15765, 18080])).
% 1.82/2.04 tff(18088,plain,
% 1.82/2.04 (xuntil2p8(s42) | (~until2p7(s42))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3806, 3051, 18087])).
% 1.82/2.04 tff(18089,plain,
% 1.82/2.04 (~until2p7(s42)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18088, 18086])).
% 1.82/2.04 tff(18090,plain,
% 1.82/2.04 (~xuntil2p8(s41)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3812, 18089])).
% 1.82/2.04 tff(18091,plain,
% 1.82/2.04 (~m_main_v_state(s42, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15759, 3154, 18048])).
% 1.82/2.04 tff(18092,plain,
% 1.82/2.04 (~m_main_v_state(s41, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15788, 3154, 18047])).
% 1.82/2.04 tff(18093,plain,
% 1.82/2.04 (m_main_v_state(s41, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15792, 19, 18092])).
% 1.82/2.04 tff(18094,plain,
% 1.82/2.04 (~m_main_v_request(s41)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15864, 18093, 18091])).
% 1.82/2.04 tff(18095,plain,
% 1.82/2.04 (~node4(s41)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15855, 3141, 18094])).
% 1.82/2.04 tff(18096,plain,
% 1.82/2.04 (xuntil2p8(s41) | (~until2p7(s41))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3818, 3051, 18095])).
% 1.82/2.04 tff(18097,plain,
% 1.82/2.04 (~until2p7(s41)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18096, 18090])).
% 1.82/2.04 tff(18098,plain,
% 1.82/2.04 (~xuntil2p8(s40)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3824, 18097])).
% 1.82/2.04 tff(18099,plain,
% 1.82/2.04 (~node4(s40)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15821, 18092])).
% 1.82/2.04 tff(18100,plain,
% 1.82/2.04 (xuntil2p8(s40) | (~until2p7(s40))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3830, 3051, 18099])).
% 1.82/2.04 tff(18101,plain,
% 1.82/2.04 (~until2p7(s40)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18100, 18098])).
% 1.82/2.04 tff(18102,plain,
% 1.82/2.04 (~xuntil2p8(s39)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3836, 18101])).
% 1.82/2.04 tff(18103,plain,
% 1.82/2.04 (xuntil2p8(s39) | (~until2p7(s39))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3842, 3051, 15845])).
% 1.82/2.04 tff(18104,plain,
% 1.82/2.04 (~until2p7(s39)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18103, 18102])).
% 1.82/2.04 tff(18105,plain,
% 1.82/2.04 (~xuntil2p8(s38)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3848, 18104])).
% 1.82/2.04 tff(18106,plain,
% 1.82/2.04 (~m_main_v_state(s39, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[8075, 3154, 18045])).
% 1.82/2.04 tff(18107,plain,
% 1.82/2.04 (~m_main_v_state(s38, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[8021, 3154, 18044])).
% 1.82/2.04 tff(18108,plain,
% 1.82/2.04 (m_main_v_state(s38, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[8096, 19, 18107])).
% 1.82/2.04 tff(18109,plain,
% 1.82/2.04 (~m_main_v_request(s38)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[8091, 18108, 18106])).
% 1.82/2.04 tff(18110,plain,
% 1.82/2.04 (~node4(s38)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[8082, 3141, 18109])).
% 1.82/2.04 tff(18111,plain,
% 1.82/2.04 (xuntil2p8(s38) | (~until2p7(s38))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3854, 3051, 18110])).
% 1.82/2.04 tff(18112,plain,
% 1.82/2.04 (~until2p7(s38)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18111, 18105])).
% 1.82/2.04 tff(18113,plain,
% 1.82/2.04 (~xuntil2p8(s37)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3860, 18112])).
% 1.82/2.04 tff(18114,plain,
% 1.82/2.04 (~m_main_v_state(s37, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3886, 3154, 18043])).
% 1.82/2.04 tff(18115,plain,
% 1.82/2.04 (m_main_v_state(s37, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[8025, 19, 18114])).
% 1.82/2.04 tff(18116,plain,
% 1.82/2.04 (~m_main_v_request(s37)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[8034, 18115, 18107])).
% 1.82/2.04 tff(18117,plain,
% 1.82/2.04 (~node4(s37)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[8038, 3141, 18116])).
% 1.82/2.04 tff(18118,plain,
% 1.82/2.04 (xuntil2p8(s37) | (~until2p7(s37))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3866, 3051, 18117])).
% 1.82/2.04 tff(18119,plain,
% 1.82/2.04 (~until2p7(s37)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18118, 18113])).
% 1.82/2.04 tff(18120,plain,
% 1.82/2.04 (~xuntil2p8(s36)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3872, 18119])).
% 1.82/2.04 tff(18121,plain,
% 1.82/2.04 (~until2p7(s36)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3912, 18120])).
% 1.82/2.04 tff(18122,plain,
% 1.82/2.04 (~xuntil2p8(s35)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3917, 18121])).
% 1.82/2.04 tff(18123,plain,
% 1.82/2.04 (~m_main_v_state(s36, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3902, 3154, 18042])).
% 1.82/2.04 tff(18124,plain,
% 1.82/2.04 (~m_main_v_state(s35, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7905, 3154, 18041])).
% 1.82/2.04 tff(18125,plain,
% 1.82/2.04 (m_main_v_state(s35, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7997, 19, 18124])).
% 1.82/2.04 tff(18126,plain,
% 1.82/2.04 (~m_main_v_request(s35)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7992, 18125, 18123])).
% 1.82/2.04 tff(18127,plain,
% 1.82/2.04 (~node4(s35)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7983, 3141, 18126])).
% 1.82/2.04 tff(18128,plain,
% 1.82/2.04 (xuntil2p8(s35) | (~until2p7(s35))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3924, 3051, 18127])).
% 1.82/2.04 tff(18129,plain,
% 1.82/2.04 (~until2p7(s35)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18128, 18122])).
% 1.82/2.04 tff(18130,plain,
% 1.82/2.04 (~xuntil2p8(s34)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3930, 18129])).
% 1.82/2.04 tff(18131,plain,
% 1.82/2.04 (m_main_v_state(s34, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7932, 19, 18037])).
% 1.82/2.04 tff(18132,plain,
% 1.82/2.04 (~m_main_v_request(s34)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7921, 18131, 18124])).
% 1.82/2.04 tff(18133,plain,
% 1.82/2.04 (~node4(s34)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7912, 3141, 18132])).
% 1.82/2.04 tff(18134,plain,
% 1.82/2.04 (xuntil2p8(s34) | (~until2p7(s34))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3936, 3051, 18133])).
% 1.82/2.04 tff(18135,plain,
% 1.82/2.04 (~until2p7(s34)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18134, 18130])).
% 1.82/2.04 tff(18136,plain,
% 1.82/2.04 ($false),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3942, 18135, 18040])).
% 1.82/2.04 tff(18137,plain,((~trans(s99, s19)) | xuntil2p8(s47) | m_main_v_state(s48, c_busy) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.04 tff(18138,plain,
% 1.82/2.04 (~trans(s99, s19)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18137, 17830, 15908, 16380])).
% 1.82/2.04 tff(18139,plain,
% 1.82/2.04 (always3(s9)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6131, 4554])).
% 1.82/2.04 tff(18140,plain,
% 1.82/2.04 (always3(s10)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2002, 18139])).
% 1.82/2.04 tff(18141,plain,
% 1.82/2.04 (always3(s11)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[1990, 18140])).
% 1.82/2.04 tff(18142,plain,
% 1.82/2.04 (always3(s12)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[1978, 18141])).
% 1.82/2.04 tff(18143,plain,
% 1.82/2.04 (~m_main_v_state(s12, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7080, 3154, 18142])).
% 1.82/2.04 tff(18144,plain,
% 1.82/2.04 (~node4(s11)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7107, 18143])).
% 1.82/2.04 tff(18145,plain,
% 1.82/2.04 (~m_main_v_state(s11, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6953, 3154, 18141])).
% 1.82/2.04 tff(18146,plain,
% 1.82/2.04 (~m_main_v_state(s10, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6960, 3154, 18140])).
% 1.82/2.04 tff(18147,plain,
% 1.82/2.04 (m_main_v_state(s10, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6964, 19, 18146])).
% 1.82/2.04 tff(18148,plain,
% 1.82/2.04 (~m_main_v_request(s10)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7005, 18147, 18145])).
% 1.82/2.04 tff(18149,plain,
% 1.82/2.04 (~node4(s10)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6996, 3141, 18148])).
% 1.82/2.04 tff(18150,plain,
% 1.82/2.04 (~node4(s9)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6987, 18146])).
% 1.82/2.04 tff(18151,plain,
% 1.82/2.04 (until2p7(s9)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4562, 4554, 4303])).
% 1.82/2.04 tff(18152,plain,
% 1.82/2.04 (node4(s9) | xuntil2p8(s9)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4550, 3051, 18151])).
% 1.82/2.04 tff(18153,plain,
% 1.82/2.04 (xuntil2p8(s9)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18152, 18150])).
% 1.82/2.04 tff(18154,plain,
% 1.82/2.04 (until2p7(s10)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4544, 18153])).
% 1.82/2.04 tff(18155,plain,
% 1.82/2.04 (node4(s10) | xuntil2p8(s10)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4538, 3051, 18154])).
% 1.82/2.04 tff(18156,plain,
% 1.82/2.04 (xuntil2p8(s10)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18155, 18149])).
% 1.82/2.04 tff(18157,plain,
% 1.82/2.04 (until2p7(s11)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4532, 18156])).
% 1.82/2.04 tff(18158,plain,
% 1.82/2.04 (xuntil2p8(s11)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4526, 3051, 18157, 18144])).
% 1.82/2.04 tff(18159,plain,
% 1.82/2.04 (until2p7(s12)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4520, 18158])).
% 1.82/2.04 tff(18160,plain,
% 1.82/2.04 (always3(s13)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[1966, 18142])).
% 1.82/2.04 tff(18161,plain,
% 1.82/2.04 (~m_main_v_state(s13, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4492, 3154, 18160])).
% 1.82/2.04 tff(18162,plain,
% 1.82/2.04 (m_main_v_state(s12, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7084, 19, 18143])).
% 1.82/2.04 tff(18163,plain,
% 1.82/2.04 (~m_main_v_request(s12)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7125, 18162, 18161])).
% 1.82/2.04 tff(18164,plain,
% 1.82/2.04 (~node4(s12)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7116, 3141, 18163])).
% 1.82/2.04 tff(18165,plain,
% 1.82/2.04 (xuntil2p8(s12) | (~until2p7(s12))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4514, 3051, 18164])).
% 1.82/2.04 tff(18166,plain,
% 1.82/2.04 (xuntil2p8(s12)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18165, 18159])).
% 1.82/2.04 tff(18167,plain,
% 1.82/2.04 (until2p7(s13)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4507, 18166])).
% 1.82/2.04 tff(18168,plain,
% 1.82/2.04 (xuntil2p8(s13)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4502, 18167])).
% 1.82/2.04 tff(18169,plain,
% 1.82/2.04 (until2p7(s14)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4462, 18168])).
% 1.82/2.04 tff(18170,plain,
% 1.82/2.04 (always3(s14)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[1954, 18160])).
% 1.82/2.04 tff(18171,plain,
% 1.82/2.04 (always3(s15)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[1942, 18170])).
% 1.82/2.04 tff(18172,plain,
% 1.82/2.04 (~m_main_v_state(s15, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7218, 3154, 18171])).
% 1.82/2.04 tff(18173,plain,
% 1.82/2.04 (~node4(s14)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7245, 18172])).
% 1.82/2.04 tff(18174,plain,
% 1.82/2.04 (xuntil2p8(s14) | (~until2p7(s14))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4456, 3051, 18173])).
% 1.82/2.04 tff(18175,plain,
% 1.82/2.04 (xuntil2p8(s14)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18174, 18169])).
% 1.82/2.04 tff(18176,plain,
% 1.82/2.04 (until2p7(s15)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4450, 18175])).
% 1.82/2.04 tff(18177,plain,
% 1.82/2.04 (always3(s16)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[438, 18171])).
% 1.82/2.04 tff(18178,plain,
% 1.82/2.04 (~m_main_v_state(s16, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4278, 3154, 18177])).
% 1.82/2.04 tff(18179,plain,
% 1.82/2.04 (m_main_v_state(s15, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7222, 19, 18172])).
% 1.82/2.04 tff(18180,plain,
% 1.82/2.04 (~m_main_v_request(s15)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7263, 18179, 18178])).
% 1.82/2.04 tff(18181,plain,
% 1.82/2.04 (~node4(s15)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7254, 3141, 18180])).
% 1.82/2.04 tff(18182,plain,
% 1.82/2.04 (xuntil2p8(s15) | (~until2p7(s15))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4300, 3051, 18181])).
% 1.82/2.04 tff(18183,plain,
% 1.82/2.04 (xuntil2p8(s15)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18182, 18176])).
% 1.82/2.04 tff(18184,plain,
% 1.82/2.04 (until2p7(s16)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4293, 18183])).
% 1.82/2.04 tff(18185,plain,
% 1.82/2.04 (xuntil2p8(s16)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4288, 18184])).
% 1.82/2.04 tff(18186,plain,
% 1.82/2.04 (until2p7(s17)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4248, 18185])).
% 1.82/2.04 tff(18187,plain,
% 1.82/2.04 (always3(s17)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[426, 18177])).
% 1.82/2.04 tff(18188,plain,
% 1.82/2.04 (always3(s18)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[414, 18187])).
% 1.82/2.04 tff(18189,plain,
% 1.82/2.04 (~m_main_v_state(s18, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7287, 3154, 18188])).
% 1.82/2.04 tff(18190,plain,
% 1.82/2.04 (~m_main_v_state(s17, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4262, 3154, 18187])).
% 1.82/2.04 tff(18191,plain,
% 1.82/2.04 (m_main_v_state(s17, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7291, 19, 18190])).
% 1.82/2.04 tff(18192,plain,
% 1.82/2.04 (~m_main_v_request(s17)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7300, 18191, 18189])).
% 1.82/2.04 tff(18193,plain,
% 1.82/2.04 (~node4(s17)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7304, 3141, 18192])).
% 1.82/2.04 tff(18194,plain,
% 1.82/2.04 (xuntil2p8(s17) | (~until2p7(s17))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4242, 3051, 18193])).
% 1.82/2.04 tff(18195,plain,
% 1.82/2.04 (xuntil2p8(s17)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18194, 18186])).
% 1.82/2.04 tff(18196,plain,
% 1.82/2.04 (until2p7(s18)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4236, 18195])).
% 1.82/2.04 tff(18197,plain,
% 1.82/2.04 (always3(s19)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[402, 18188])).
% 1.82/2.04 tff(18198,plain,
% 1.82/2.04 (~m_main_v_state(s19, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7336, 3154, 18197])).
% 1.82/2.04 tff(18199,plain,
% 1.82/2.04 (m_main_v_state(s18, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7357, 19, 18189])).
% 1.82/2.04 tff(18200,plain,
% 1.82/2.04 (~m_main_v_request(s18)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7352, 18199, 18198])).
% 1.82/2.04 tff(18201,plain,
% 1.82/2.04 (~node4(s18)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7343, 3141, 18200])).
% 1.82/2.04 tff(18202,plain,
% 1.82/2.04 (xuntil2p8(s18) | (~until2p7(s18))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4230, 3051, 18201])).
% 1.82/2.04 tff(18203,plain,
% 1.82/2.04 (xuntil2p8(s18)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18202, 18196])).
% 1.82/2.04 tff(18204,plain,
% 1.82/2.04 (until2p7(s19)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4224, 18203])).
% 1.82/2.04 tff(18205,plain,
% 1.82/2.04 (m_main_v_state(s19, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[17901, 18198])).
% 1.82/2.04 tff(18206,plain,
% 1.82/2.04 (always3(s20)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[390, 18197])).
% 1.82/2.04 tff(18207,plain,
% 1.82/2.04 (~m_main_v_state(s20, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7432, 3154, 18206])).
% 1.82/2.04 tff(18208,plain,
% 1.82/2.04 (~m_main_v_request(s19)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7473, 18207, 18205])).
% 1.82/2.04 tff(18209,plain,
% 1.82/2.04 (~node4(s19)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7464, 3141, 18208])).
% 1.82/2.04 tff(18210,plain,
% 1.82/2.04 (xuntil2p8(s19) | (~until2p7(s19))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4218, 3051, 18209])).
% 1.82/2.04 tff(18211,plain,
% 1.82/2.04 (xuntil2p8(s19)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18210, 18204])).
% 1.82/2.04 tff(18212,plain,
% 1.82/2.04 (until2p7(s20)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4212, 18211])).
% 1.82/2.04 tff(18213,plain,
% 1.82/2.04 (always3(s21)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[378, 18206])).
% 1.82/2.04 tff(18214,plain,
% 1.82/2.04 (~m_main_v_state(s21, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7440, 3154, 18213])).
% 1.82/2.04 tff(18215,plain,
% 1.82/2.04 (m_main_v_state(s20, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7444, 19, 18207])).
% 1.82/2.04 tff(18216,plain,
% 1.82/2.04 (~m_main_v_request(s20)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7453, 18215, 18214])).
% 1.82/2.04 tff(18217,plain,
% 1.82/2.04 (~node4(s20)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7457, 3141, 18216])).
% 1.82/2.04 tff(18218,plain,
% 1.82/2.04 (xuntil2p8(s20) | (~until2p7(s20))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4206, 3051, 18217])).
% 1.82/2.04 tff(18219,plain,
% 1.82/2.04 (xuntil2p8(s20)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18218, 18212])).
% 1.82/2.04 tff(18220,plain,
% 1.82/2.04 (until2p7(s21)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4200, 18219])).
% 1.82/2.04 tff(18221,plain,
% 1.82/2.04 (always3(s22)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[366, 18213])).
% 1.82/2.04 tff(18222,plain,
% 1.82/2.04 (~m_main_v_state(s22, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7404, 3154, 18221])).
% 1.82/2.04 tff(18223,plain,
% 1.82/2.04 (~node4(s21)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7507, 18222])).
% 1.82/2.04 tff(18224,plain,
% 1.82/2.04 (xuntil2p8(s21) | (~until2p7(s21))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4194, 3051, 18223])).
% 1.82/2.04 tff(18225,plain,
% 1.82/2.04 (xuntil2p8(s21)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18224, 18220])).
% 1.82/2.04 tff(18226,plain,
% 1.82/2.04 (until2p7(s22)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4188, 18225])).
% 1.82/2.04 tff(18227,plain,
% 1.82/2.04 (always3(s23)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[354, 18221])).
% 1.82/2.04 tff(18228,plain,
% 1.82/2.04 (~m_main_v_state(s23, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4160, 3154, 18227])).
% 1.82/2.04 tff(18229,plain,
% 1.82/2.04 (m_main_v_state(s22, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7408, 19, 18222])).
% 1.82/2.04 tff(18230,plain,
% 1.82/2.04 (~m_main_v_request(s22)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7379, 18229, 18228])).
% 1.82/2.04 tff(18231,plain,
% 1.82/2.04 (~node4(s22)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7370, 3141, 18230])).
% 1.82/2.04 tff(18232,plain,
% 1.82/2.04 (xuntil2p8(s22) | (~until2p7(s22))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4182, 3051, 18231])).
% 1.82/2.04 tff(18233,plain,
% 1.82/2.04 (xuntil2p8(s22)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18232, 18226])).
% 1.82/2.04 tff(18234,plain,
% 1.82/2.04 (until2p7(s23)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4175, 18233])).
% 1.82/2.04 tff(18235,plain,
% 1.82/2.04 (xuntil2p8(s23)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4170, 18234])).
% 1.82/2.04 tff(18236,plain,
% 1.82/2.04 (until2p7(s24)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4130, 18235])).
% 1.82/2.04 tff(18237,plain,
% 1.82/2.04 (xuntil2p8(s24)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[17923, 18236])).
% 1.82/2.04 tff(18238,plain,
% 1.82/2.04 (until2p7(s25)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4118, 18237])).
% 1.82/2.04 tff(18239,plain,
% 1.82/2.04 (always3(s24)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[342, 18227])).
% 1.82/2.04 tff(18240,plain,
% 1.82/2.04 (always3(s25)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[330, 18239])).
% 1.82/2.04 tff(18241,plain,
% 1.82/2.04 (always3(s26)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[318, 18240])).
% 1.82/2.04 tff(18242,plain,
% 1.82/2.04 (~m_main_v_state(s26, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7627, 3154, 18241])).
% 1.82/2.04 tff(18243,plain,
% 1.82/2.04 (~m_main_v_state(s25, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7558, 3154, 18240])).
% 1.82/2.04 tff(18244,plain,
% 1.82/2.04 (~node1(s24)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[17941, 18243])).
% 1.82/2.04 tff(18245,plain,
% 1.82/2.04 (m_main_v_state(s25, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[17949, 18243, 18244])).
% 1.82/2.04 tff(18246,plain,
% 1.82/2.04 (~m_main_v_request(s25)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7664, 18245, 18242])).
% 1.82/2.04 tff(18247,plain,
% 1.82/2.04 (~node4(s25)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7655, 3141, 18246])).
% 1.82/2.04 tff(18248,plain,
% 1.82/2.04 (xuntil2p8(s25) | (~until2p7(s25))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4112, 3051, 18247])).
% 1.82/2.04 tff(18249,plain,
% 1.82/2.04 (xuntil2p8(s25)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18248, 18238])).
% 1.82/2.04 tff(18250,plain,
% 1.82/2.04 (until2p7(s26)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4106, 18249])).
% 1.82/2.04 tff(18251,plain,
% 1.82/2.04 (always3(s27)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[306, 18241])).
% 1.82/2.04 tff(18252,plain,
% 1.82/2.04 (~m_main_v_state(s27, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4078, 3154, 18251])).
% 1.82/2.04 tff(18253,plain,
% 1.82/2.04 (m_main_v_state(s26, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7633, 19, 18242])).
% 1.82/2.04 tff(18254,plain,
% 1.82/2.04 (~m_main_v_request(s26)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7642, 18253, 18252])).
% 1.82/2.04 tff(18255,plain,
% 1.82/2.04 (~node4(s26)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7646, 3141, 18254])).
% 1.82/2.04 tff(18256,plain,
% 1.82/2.04 (xuntil2p8(s26) | (~until2p7(s26))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4100, 3051, 18255])).
% 1.82/2.04 tff(18257,plain,
% 1.82/2.04 (xuntil2p8(s26)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18256, 18250])).
% 1.82/2.04 tff(18258,plain,
% 1.82/2.04 (until2p7(s27)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4093, 18257])).
% 1.82/2.04 tff(18259,plain,
% 1.82/2.04 (xuntil2p8(s27)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4088, 18258])).
% 1.82/2.04 tff(18260,plain,
% 1.82/2.04 (until2p7(s28)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4048, 18259])).
% 1.82/2.04 tff(18261,plain,
% 1.82/2.04 (always3(s28)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[294, 18251])).
% 1.82/2.04 tff(18262,plain,
% 1.82/2.04 (always3(s29)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[282, 18261])).
% 1.82/2.04 tff(18263,plain,
% 1.82/2.04 (~m_main_v_state(s29, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7720, 3154, 18262])).
% 1.82/2.04 tff(18264,plain,
% 1.82/2.04 (~node4(s28)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7755, 18263])).
% 1.82/2.04 tff(18265,plain,
% 1.82/2.04 (xuntil2p8(s28) | (~until2p7(s28))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4042, 3051, 18264])).
% 1.82/2.04 tff(18266,plain,
% 1.82/2.04 (xuntil2p8(s28)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18265, 18260])).
% 1.82/2.04 tff(18267,plain,
% 1.82/2.04 (always3(s30)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[270, 18262])).
% 1.82/2.04 tff(18268,plain,
% 1.82/2.04 (always3(s31)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[258, 18267])).
% 1.82/2.04 tff(18269,plain,
% 1.82/2.04 (always3(s32)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[246, 18268])).
% 1.82/2.04 tff(18270,plain,
% 1.82/2.04 (always3(s33)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[234, 18269])).
% 1.82/2.04 tff(18271,plain,
% 1.82/2.04 (always3(s34)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[222, 18270])).
% 1.82/2.04 tff(18272,plain,
% 1.82/2.04 (always3(s35)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[210, 18271])).
% 1.82/2.04 tff(18273,plain,
% 1.82/2.04 (always3(s36)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[198, 18272])).
% 1.82/2.04 tff(18274,plain,
% 1.82/2.04 (always3(s37)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[186, 18273])).
% 1.82/2.04 tff(18275,plain,
% 1.82/2.04 (always3(s38)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[174, 18274])).
% 1.82/2.04 tff(18276,plain,
% 1.82/2.04 (always3(s39)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[162, 18275])).
% 1.82/2.04 tff(18277,plain,
% 1.82/2.04 (always3(s40)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[150, 18276])).
% 1.82/2.04 tff(18278,plain,
% 1.82/2.04 (always3(s41)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[138, 18277])).
% 1.82/2.04 tff(18279,plain,
% 1.82/2.04 (always3(s42)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[126, 18278])).
% 1.82/2.04 tff(18280,plain,
% 1.82/2.04 (always3(s43)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[114, 18279])).
% 1.82/2.04 tff(18281,plain,
% 1.82/2.04 (always3(s44)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[102, 18280])).
% 1.82/2.04 tff(18282,plain,
% 1.82/2.04 (always3(s45)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[90, 18281])).
% 1.82/2.04 tff(18283,plain,
% 1.82/2.04 (always3(s46)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[78, 18282])).
% 1.82/2.04 tff(18284,plain,
% 1.82/2.04 (always3(s47)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[66, 18283])).
% 1.82/2.04 tff(18285,plain,
% 1.82/2.04 (~m_main_v_state(s47, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15906, 3154, 18284])).
% 1.82/2.04 tff(18286,plain,
% 1.82/2.04 (~m_main_v_state(s46, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15662, 3154, 18283])).
% 1.82/2.04 tff(18287,plain,
% 1.82/2.04 (m_main_v_state(s46, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15946, 19, 18286])).
% 1.82/2.04 tff(18288,plain,
% 1.82/2.04 (~m_main_v_request(s46)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15940, 18287, 18285])).
% 1.82/2.04 tff(18289,plain,
% 1.82/2.04 (~node4(s46)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15931, 3141, 18288])).
% 1.82/2.04 tff(18290,plain,
% 1.82/2.04 (m_main_v_state(s47, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15911, 19, 18285])).
% 1.82/2.04 tff(18291,plain,
% 1.82/2.04 (~m_main_v_request(s47)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15920, 18290, 15908])).
% 1.82/2.04 tff(18292,plain,
% 1.82/2.04 (~node4(s47)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15924, 3141, 18291])).
% 1.82/2.04 tff(18293,plain,
% 1.82/2.04 (~until2p7(s47)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[17867, 18292])).
% 1.82/2.04 tff(18294,plain,
% 1.82/2.04 (~xuntil2p8(s46)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3752, 18293])).
% 1.82/2.04 tff(18295,plain,
% 1.82/2.04 (~until2p7(s46)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3758, 3051, 18294, 18289])).
% 1.82/2.04 tff(18296,plain,
% 1.82/2.04 (~xuntil2p8(s45)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3764, 18295])).
% 1.82/2.04 tff(18297,plain,
% 1.82/2.04 (~m_main_v_state(s45, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15669, 3154, 18282])).
% 1.82/2.04 tff(18298,plain,
% 1.82/2.04 (m_main_v_state(s45, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15673, 19, 18297])).
% 1.82/2.04 tff(18299,plain,
% 1.82/2.04 (~m_main_v_request(s45)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15682, 18298, 18286])).
% 1.82/2.04 tff(18300,plain,
% 1.82/2.04 (~node4(s45)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15686, 3141, 18299])).
% 1.82/2.04 tff(18301,plain,
% 1.82/2.04 (xuntil2p8(s45) | (~until2p7(s45))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3770, 3051, 18300])).
% 1.82/2.04 tff(18302,plain,
% 1.82/2.04 (~until2p7(s45)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18301, 18296])).
% 1.82/2.04 tff(18303,plain,
% 1.82/2.04 (~xuntil2p8(s44)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3776, 18302])).
% 1.82/2.04 tff(18304,plain,
% 1.82/2.04 (~m_main_v_state(s44, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15704, 3154, 18281])).
% 1.82/2.04 tff(18305,plain,
% 1.82/2.04 (m_main_v_state(s44, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15708, 19, 18304])).
% 1.82/2.04 tff(18306,plain,
% 1.82/2.04 (~m_main_v_request(s44)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15717, 18305, 18297])).
% 1.82/2.04 tff(18307,plain,
% 1.82/2.04 (~node4(s44)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15721, 3141, 18306])).
% 1.82/2.04 tff(18308,plain,
% 1.82/2.04 (xuntil2p8(s44) | (~until2p7(s44))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3782, 3051, 18307])).
% 1.82/2.04 tff(18309,plain,
% 1.82/2.04 (~until2p7(s44)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18308, 18303])).
% 1.82/2.04 tff(18310,plain,
% 1.82/2.04 (~xuntil2p8(s43)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3788, 18309])).
% 1.82/2.04 tff(18311,plain,
% 1.82/2.04 (~m_main_v_state(s43, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15732, 3154, 18280])).
% 1.82/2.04 tff(18312,plain,
% 1.82/2.04 (m_main_v_state(s43, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15736, 19, 18311])).
% 1.82/2.04 tff(18313,plain,
% 1.82/2.04 (~m_main_v_request(s43)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15885, 18312, 18304])).
% 1.82/2.04 tff(18314,plain,
% 1.82/2.04 (~node4(s43)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15876, 3141, 18313])).
% 1.82/2.04 tff(18315,plain,
% 1.82/2.04 (xuntil2p8(s43) | (~until2p7(s43))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3794, 3051, 18314])).
% 1.82/2.04 tff(18316,plain,
% 1.82/2.04 (~until2p7(s43)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18315, 18310])).
% 1.82/2.04 tff(18317,plain,
% 1.82/2.04 (~xuntil2p8(s42)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3800, 18316])).
% 1.82/2.04 tff(18318,plain,
% 1.82/2.04 (~node4(s42)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15765, 18311])).
% 1.82/2.04 tff(18319,plain,
% 1.82/2.04 (xuntil2p8(s42) | (~until2p7(s42))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3806, 3051, 18318])).
% 1.82/2.04 tff(18320,plain,
% 1.82/2.04 (~until2p7(s42)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18319, 18317])).
% 1.82/2.04 tff(18321,plain,
% 1.82/2.04 (~xuntil2p8(s41)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3812, 18320])).
% 1.82/2.04 tff(18322,plain,
% 1.82/2.04 (~m_main_v_state(s42, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15759, 3154, 18279])).
% 1.82/2.04 tff(18323,plain,
% 1.82/2.04 (~m_main_v_state(s41, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15788, 3154, 18278])).
% 1.82/2.04 tff(18324,plain,
% 1.82/2.04 (m_main_v_state(s41, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15792, 19, 18323])).
% 1.82/2.04 tff(18325,plain,
% 1.82/2.04 (~m_main_v_request(s41)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15864, 18324, 18322])).
% 1.82/2.04 tff(18326,plain,
% 1.82/2.04 (~node4(s41)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15855, 3141, 18325])).
% 1.82/2.04 tff(18327,plain,
% 1.82/2.04 (xuntil2p8(s41) | (~until2p7(s41))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3818, 3051, 18326])).
% 1.82/2.04 tff(18328,plain,
% 1.82/2.04 (~until2p7(s41)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18327, 18321])).
% 1.82/2.04 tff(18329,plain,
% 1.82/2.04 (~xuntil2p8(s40)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3824, 18328])).
% 1.82/2.04 tff(18330,plain,
% 1.82/2.04 (~node4(s40)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15821, 18323])).
% 1.82/2.04 tff(18331,plain,
% 1.82/2.04 (xuntil2p8(s40) | (~until2p7(s40))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3830, 3051, 18330])).
% 1.82/2.04 tff(18332,plain,
% 1.82/2.04 (~until2p7(s40)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18331, 18329])).
% 1.82/2.04 tff(18333,plain,
% 1.82/2.04 (~xuntil2p8(s39)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3836, 18332])).
% 1.82/2.04 tff(18334,plain,
% 1.82/2.04 (~until2p7(s39)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18103, 18333])).
% 1.82/2.04 tff(18335,plain,
% 1.82/2.04 (~xuntil2p8(s38)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3848, 18334])).
% 1.82/2.04 tff(18336,plain,
% 1.82/2.04 (~m_main_v_state(s39, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[8075, 3154, 18276])).
% 1.82/2.04 tff(18337,plain,
% 1.82/2.04 (~m_main_v_state(s38, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[8021, 3154, 18275])).
% 1.82/2.04 tff(18338,plain,
% 1.82/2.04 (m_main_v_state(s38, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[8096, 19, 18337])).
% 1.82/2.04 tff(18339,plain,
% 1.82/2.04 (~m_main_v_request(s38)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[8091, 18338, 18336])).
% 1.82/2.04 tff(18340,plain,
% 1.82/2.04 (~node4(s38)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[8082, 3141, 18339])).
% 1.82/2.04 tff(18341,plain,
% 1.82/2.04 (xuntil2p8(s38) | (~until2p7(s38))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3854, 3051, 18340])).
% 1.82/2.04 tff(18342,plain,
% 1.82/2.04 (~until2p7(s38)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18341, 18335])).
% 1.82/2.04 tff(18343,plain,
% 1.82/2.04 (~xuntil2p8(s37)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3860, 18342])).
% 1.82/2.04 tff(18344,plain,
% 1.82/2.04 (~m_main_v_state(s37, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3886, 3154, 18274])).
% 1.82/2.04 tff(18345,plain,
% 1.82/2.04 (m_main_v_state(s37, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[8025, 19, 18344])).
% 1.82/2.04 tff(18346,plain,
% 1.82/2.04 (~m_main_v_request(s37)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[8034, 18345, 18337])).
% 1.82/2.04 tff(18347,plain,
% 1.82/2.04 (~node4(s37)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[8038, 3141, 18346])).
% 1.82/2.04 tff(18348,plain,
% 1.82/2.04 (xuntil2p8(s37) | (~until2p7(s37))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3866, 3051, 18347])).
% 1.82/2.04 tff(18349,plain,
% 1.82/2.04 (~until2p7(s37)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18348, 18343])).
% 1.82/2.04 tff(18350,plain,
% 1.82/2.04 (~xuntil2p8(s36)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3872, 18349])).
% 1.82/2.04 tff(18351,plain,
% 1.82/2.04 (~until2p7(s36)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3912, 18350])).
% 1.82/2.04 tff(18352,plain,
% 1.82/2.04 (~xuntil2p8(s35)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3917, 18351])).
% 1.82/2.04 tff(18353,plain,
% 1.82/2.04 (~m_main_v_state(s36, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3902, 3154, 18273])).
% 1.82/2.04 tff(18354,plain,
% 1.82/2.04 (~m_main_v_state(s35, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7905, 3154, 18272])).
% 1.82/2.04 tff(18355,plain,
% 1.82/2.04 (m_main_v_state(s35, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7997, 19, 18354])).
% 1.82/2.04 tff(18356,plain,
% 1.82/2.04 (~m_main_v_request(s35)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7992, 18355, 18353])).
% 1.82/2.04 tff(18357,plain,
% 1.82/2.04 (~node4(s35)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7983, 3141, 18356])).
% 1.82/2.04 tff(18358,plain,
% 1.82/2.04 (xuntil2p8(s35) | (~until2p7(s35))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3924, 3051, 18357])).
% 1.82/2.04 tff(18359,plain,
% 1.82/2.04 (~until2p7(s35)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18358, 18352])).
% 1.82/2.04 tff(18360,plain,
% 1.82/2.04 (~xuntil2p8(s34)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3930, 18359])).
% 1.82/2.04 tff(18361,plain,
% 1.82/2.04 (~m_main_v_state(s34, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7928, 3154, 18271])).
% 1.82/2.04 tff(18362,plain,
% 1.82/2.04 (m_main_v_state(s34, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7932, 19, 18361])).
% 1.82/2.04 tff(18363,plain,
% 1.82/2.04 (~m_main_v_request(s34)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7921, 18362, 18354])).
% 1.82/2.04 tff(18364,plain,
% 1.82/2.04 (~node4(s34)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7912, 3141, 18363])).
% 1.82/2.04 tff(18365,plain,
% 1.82/2.04 (xuntil2p8(s34) | (~until2p7(s34))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3936, 3051, 18364])).
% 1.82/2.04 tff(18366,plain,
% 1.82/2.04 (~until2p7(s34)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18365, 18360])).
% 1.82/2.04 tff(18367,plain,
% 1.82/2.04 (~xuntil2p8(s33)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3942, 18366])).
% 1.82/2.04 tff(18368,plain,
% 1.82/2.04 (~node4(s33)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7961, 18361])).
% 1.82/2.04 tff(18369,plain,
% 1.82/2.04 (xuntil2p8(s33) | (~until2p7(s33))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3948, 3051, 18368])).
% 1.82/2.04 tff(18370,plain,
% 1.82/2.04 (~until2p7(s33)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18369, 18367])).
% 1.82/2.04 tff(18371,plain,
% 1.82/2.04 (~xuntil2p8(s32)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3954, 18370])).
% 1.82/2.04 tff(18372,plain,
% 1.82/2.04 (~until2p7(s32)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3994, 18371])).
% 1.82/2.04 tff(18373,plain,
% 1.82/2.04 (~xuntil2p8(s31)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3999, 18372])).
% 1.82/2.04 tff(18374,plain,
% 1.82/2.04 (~m_main_v_state(s32, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3984, 3154, 18269])).
% 1.82/2.04 tff(18375,plain,
% 1.82/2.04 (~m_main_v_state(s31, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7860, 3154, 18268])).
% 1.82/2.04 tff(18376,plain,
% 1.82/2.04 (~node1(s30)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18018, 18375])).
% 1.82/2.04 tff(18377,plain,
% 1.82/2.04 (m_main_v_state(s31, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18026, 18376, 18375])).
% 1.82/2.04 tff(18378,plain,
% 1.82/2.04 (~m_main_v_request(s31)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7849, 18377, 18374])).
% 1.82/2.04 tff(18379,plain,
% 1.82/2.04 (~node4(s31)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7840, 3141, 18378])).
% 1.82/2.04 tff(18380,plain,
% 1.82/2.04 (xuntil2p8(s31) | (~until2p7(s31))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4006, 3051, 18379])).
% 1.82/2.04 tff(18381,plain,
% 1.82/2.04 (~until2p7(s31)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18380, 18373])).
% 1.82/2.04 tff(18382,plain,
% 1.82/2.04 (~xuntil2p8(s30)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4012, 18381])).
% 1.82/2.04 tff(18383,plain,
% 1.82/2.04 (~node4(s30)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7889, 18375])).
% 1.82/2.04 tff(18384,plain,
% 1.82/2.04 (xuntil2p8(s30) | (~until2p7(s30))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4018, 3051, 18383])).
% 1.82/2.04 tff(18385,plain,
% 1.82/2.04 (~until2p7(s30)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18384, 18382])).
% 1.82/2.04 tff(18386,plain,
% 1.82/2.04 (~xuntil2p8(s29)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4024, 18385])).
% 1.82/2.04 tff(18387,plain,
% 1.82/2.04 (~m_main_v_state(s30, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7697, 3154, 18267])).
% 1.82/2.04 tff(18388,plain,
% 1.82/2.04 (m_main_v_state(s29, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[17993, 18263])).
% 1.82/2.04 tff(18389,plain,
% 1.82/2.04 (~m_main_v_request(s29)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7713, 18388, 18387])).
% 1.82/2.04 tff(18390,plain,
% 1.82/2.04 (~node4(s29)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[7704, 3141, 18389])).
% 1.82/2.04 tff(18391,plain,
% 1.82/2.04 (xuntil2p8(s29) | (~until2p7(s29))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4030, 3051, 18390])).
% 1.82/2.04 tff(18392,plain,
% 1.82/2.04 (~until2p7(s29)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18391, 18386])).
% 1.82/2.04 tff(18393,plain,
% 1.82/2.04 ($false),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4036, 18392, 18266])).
% 1.82/2.04 tff(18394,plain,((~trans(s99, s9)) | xuntil2p8(s47) | m_main_v_state(s48, c_busy) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.04 tff(18395,plain,
% 1.82/2.04 (~trans(s99, s9)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18394, 17830, 15908, 16380])).
% 1.82/2.04 tff(18396,plain,
% 1.82/2.04 (~always3(s45)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[78, 15891])).
% 1.82/2.04 tff(18397,plain,
% 1.82/2.04 (~always3(s44)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[90, 18396])).
% 1.82/2.04 tff(18398,plain,
% 1.82/2.04 (~always3(s43)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[102, 18397])).
% 1.82/2.04 tff(18399,plain,
% 1.82/2.04 (~always3(s42)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[114, 18398])).
% 1.82/2.04 tff(18400,plain,
% 1.82/2.04 (~always3(s41)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[126, 18399])).
% 1.82/2.04 tff(18401,plain,
% 1.82/2.04 (~always3(s40)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[138, 18400])).
% 1.82/2.04 tff(18402,plain,
% 1.82/2.04 (~always3(s39)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[150, 18401])).
% 1.82/2.04 tff(18403,plain,
% 1.82/2.04 (~always3(s38)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[162, 18402])).
% 1.82/2.04 tff(18404,plain,
% 1.82/2.04 (~always3(s37)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[174, 18403])).
% 1.82/2.04 tff(18405,plain,
% 1.82/2.04 (~always3(s36)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[186, 18404])).
% 1.82/2.04 tff(18406,plain,
% 1.82/2.04 (~always3(s35)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[198, 18405])).
% 1.82/2.04 tff(18407,plain,
% 1.82/2.04 (~always3(s34)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[210, 18406])).
% 1.82/2.04 tff(18408,plain,
% 1.82/2.04 (~always3(s33)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[222, 18407])).
% 1.82/2.04 tff(18409,plain,
% 1.82/2.04 (~trans(s99, s33)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6462, 18408])).
% 1.82/2.04 tff(18410,plain,
% 1.82/2.04 (~always3(s32)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[234, 18408])).
% 1.82/2.04 tff(18411,plain,
% 1.82/2.04 (~always3(s31)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[246, 18410])).
% 1.82/2.04 tff(18412,plain,
% 1.82/2.04 (~always3(s30)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[258, 18411])).
% 1.82/2.04 tff(18413,plain,
% 1.82/2.04 (~always3(s29)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[270, 18412])).
% 1.82/2.04 tff(18414,plain,
% 1.82/2.04 (~always3(s28)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[282, 18413])).
% 1.82/2.04 tff(18415,plain,
% 1.82/2.04 (~always3(s27)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[294, 18414])).
% 1.82/2.04 tff(18416,plain,
% 1.82/2.04 (~always3(s26)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[306, 18415])).
% 1.82/2.04 tff(18417,plain,
% 1.82/2.04 (~always3(s25)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[318, 18416])).
% 1.82/2.04 tff(18418,plain,
% 1.82/2.04 (~always3(s24)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[330, 18417])).
% 1.82/2.04 tff(18419,plain,
% 1.82/2.04 (~always3(s23)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[342, 18418])).
% 1.82/2.04 tff(18420,plain,
% 1.82/2.04 (~always3(s22)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[354, 18419])).
% 1.82/2.04 tff(18421,plain,
% 1.82/2.04 (~always3(s21)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[366, 18420])).
% 1.82/2.04 tff(18422,plain,
% 1.82/2.04 (~always3(s20)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[378, 18421])).
% 1.82/2.04 tff(18423,plain,
% 1.82/2.04 (~always3(s19)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[390, 18422])).
% 1.82/2.04 tff(18424,plain,
% 1.82/2.04 (~always3(s18)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[402, 18423])).
% 1.82/2.04 tff(18425,plain,
% 1.82/2.04 (~always3(s17)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[414, 18424])).
% 1.82/2.04 tff(18426,plain,
% 1.82/2.04 (~always3(s16)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[426, 18425])).
% 1.82/2.04 tff(18427,plain,
% 1.82/2.04 (~always3(s15)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[438, 18426])).
% 1.82/2.04 tff(18428,plain,
% 1.82/2.04 (~trans(s99, s15)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[5943, 18427])).
% 1.82/2.04 tff(18429,plain,
% 1.82/2.04 (~trans(s99, s16)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6374, 18426])).
% 1.82/2.04 tff(18430,plain,
% 1.82/2.04 (~trans(s99, s40)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6429, 18401])).
% 1.82/2.04 tff(18431,plain,
% 1.82/2.04 (~trans(s99, s29)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6418, 18413])).
% 1.82/2.04 tff(18432,plain,
% 1.82/2.04 (~trans(s99, s44)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[5997, 18397])).
% 1.82/2.04 tff(18433,plain,
% 1.82/2.04 (~trans(s99, s38)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6008, 18403])).
% 1.82/2.04 tff(18434,plain,
% 1.82/2.04 (~always3(s14)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[1942, 18427])).
% 1.82/2.04 tff(18435,plain,
% 1.82/2.04 (~always3(s13)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[1954, 18434])).
% 1.82/2.04 tff(18436,plain,
% 1.82/2.04 (~always3(s12)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[1966, 18435])).
% 1.82/2.04 tff(18437,plain,
% 1.82/2.04 (~always3(s11)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[1978, 18436])).
% 1.82/2.04 tff(18438,plain,
% 1.82/2.04 (~always3(s10)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[1990, 18437])).
% 1.82/2.04 tff(18439,plain,
% 1.82/2.04 (~always3(s9)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2002, 18438])).
% 1.82/2.04 tff(18440,plain,
% 1.82/2.04 (~always3(s8)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2014, 18439])).
% 1.82/2.04 tff(18441,plain,
% 1.82/2.04 (~always3(s7)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2026, 18440])).
% 1.82/2.04 tff(18442,plain,
% 1.82/2.04 (~always3(s6)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2038, 18441])).
% 1.82/2.04 tff(18443,plain,
% 1.82/2.04 (~always3(s5)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2050, 18442])).
% 1.82/2.04 tff(18444,plain,
% 1.82/2.04 (~always3(s4)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2062, 18443])).
% 1.82/2.04 tff(18445,plain,
% 1.82/2.04 (~always3(s3)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2074, 18444])).
% 1.82/2.04 tff(18446,plain,
% 1.82/2.04 (~always3(s2)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2086, 18445])).
% 1.82/2.04 tff(18447,plain,
% 1.82/2.04 (~trans(s99, s2)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6032, 18446])).
% 1.82/2.04 tff(18448,plain,
% 1.82/2.04 (~trans(s99, s4)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6043, 18444])).
% 1.82/2.04 tff(18449,plain,
% 1.82/2.04 (~trans(s99, s37)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6054, 18404])).
% 1.82/2.04 tff(18450,plain,
% 1.82/2.04 (~trans(s99, s13)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6065, 18435])).
% 1.82/2.04 tff(18451,plain,
% 1.82/2.04 (~trans(s99, s42)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6076, 18399])).
% 1.82/2.04 tff(18452,plain,
% 1.82/2.04 (~trans(s99, s47)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6087, 6078])).
% 1.82/2.04 tff(18453,plain,
% 1.82/2.04 (~trans(s99, s25)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6098, 18417])).
% 1.82/2.04 tff(18454,plain,
% 1.82/2.04 (~trans(s99, s22)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6109, 18420])).
% 1.82/2.04 tff(18455,plain,
% 1.82/2.04 (~trans(s99, s28)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6120, 18414])).
% 1.82/2.04 tff(18456,plain,
% 1.82/2.04 (~trans(s99, s34)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6141, 18407])).
% 1.82/2.04 tff(18457,plain,
% 1.82/2.04 (~trans(s99, s11)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6152, 18437])).
% 1.82/2.04 tff(18458,plain,
% 1.82/2.04 (~trans(s99, s5)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6163, 18443])).
% 1.82/2.04 tff(18459,plain,
% 1.82/2.04 (~trans(s99, s20)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6174, 18422])).
% 1.82/2.04 tff(18460,plain,
% 1.82/2.04 (~trans(s99, s36)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6185, 18405])).
% 1.82/2.04 tff(18461,plain,
% 1.82/2.04 (~trans(s99, s43)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6196, 18398])).
% 1.82/2.04 tff(18462,plain,
% 1.82/2.04 (~trans(s99, s10)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6207, 18438])).
% 1.82/2.04 tff(18463,plain,
% 1.82/2.04 (~trans(s99, s12)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6218, 18436])).
% 1.82/2.04 tff(18464,plain,
% 1.82/2.04 (~trans(s99, s18)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6229, 18424])).
% 1.82/2.04 tff(18465,plain,
% 1.82/2.04 (~trans(s99, s45)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6240, 18396])).
% 1.82/2.04 tff(18466,plain,
% 1.82/2.04 (~trans(s99, s26)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6251, 18416])).
% 1.82/2.04 tff(18467,plain,
% 1.82/2.04 (~trans(s99, s8)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6273, 18440])).
% 1.82/2.04 tff(18468,plain,
% 1.82/2.04 (~trans(s99, s35)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6284, 18406])).
% 1.82/2.04 tff(18469,plain,
% 1.82/2.04 (~trans(s99, s30)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6295, 18412])).
% 1.82/2.04 tff(18470,plain,
% 1.82/2.04 (~trans(s99, s3)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6319, 18445])).
% 1.82/2.04 tff(18471,plain,
% 1.82/2.04 (~trans(s99, s6)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6473, 18442])).
% 1.82/2.04 tff(18472,plain,
% 1.82/2.04 (~trans(s99, s23)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6330, 18419])).
% 1.82/2.04 tff(18473,plain,
% 1.82/2.04 (~trans(s99, s27)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6341, 18415])).
% 1.82/2.04 tff(18474,plain,
% 1.82/2.04 (~trans(s99, s24)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6352, 18418])).
% 1.82/2.04 tff(18475,plain,
% 1.82/2.04 (~trans(s99, s32)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6363, 18410])).
% 1.82/2.04 tff(18476,plain,
% 1.82/2.04 (~trans(s99, s14)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6262, 18434])).
% 1.82/2.04 tff(18477,plain,
% 1.82/2.04 (~trans(s99, s17)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6385, 18425])).
% 1.82/2.04 tff(18478,plain,
% 1.82/2.04 (~trans(s99, s7)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6396, 18441])).
% 1.82/2.04 tff(18479,plain,
% 1.82/2.04 (~trans(s99, s21)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6440, 18421])).
% 1.82/2.04 tff(18480,plain,
% 1.82/2.04 (~trans(s99, s46)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6484, 15891])).
% 1.82/2.04 tff(18481,plain,
% 1.82/2.04 (~trans(s99, s31)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6451, 18411])).
% 1.82/2.04 tff(18482,plain,
% 1.82/2.04 (~trans(s99, s39)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[5964, 18402])).
% 1.82/2.04 tff(18483,plain,
% 1.82/2.04 (~always3(s1)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2098, 18446])).
% 1.82/2.04 tff(18484,plain,
% 1.82/2.04 (~trans(s99, s1)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6407, 18483])).
% 1.82/2.04 tff(18485,plain,
% 1.82/2.04 (~always3(s0)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2114, 18483])).
% 1.82/2.04 tff(18486,plain,
% 1.82/2.04 (~trans(s99, s0)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6308, 18485])).
% 1.82/2.04 tff(18487,plain,
% 1.82/2.04 ($false),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[17315, 18486, 18484, 16705, 3009, 8428, 8272, 8260, 18482, 18481, 18480, 18479, 18478, 18477, 18476, 18475, 18474, 18473, 18472, 18471, 18470, 18469, 18468, 18467, 18466, 18465, 18464, 18463, 18462, 18461, 18460, 18459, 18458, 18457, 18456, 18455, 18454, 18453, 18452, 18451, 18450, 18449, 18448, 18447, 18433, 18432, 18431, 18430, 18429, 8228, 18428, 16709, 18409])).
% 1.82/2.04 tff(18488,plain,(always3(s47) | node4(s65) | node4(s99) | trans(s99, s9) | trans(s99, s19) | trans(s99, s41) | trans(s99, s48) | node4(s64)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.04 tff(18489,plain,
% 1.82/2.04 (always3(s47)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18488, 3009, 16705, 18395, 18138, 17885, 17826, 16709])).
% 1.82/2.04 tff(18490,plain,
% 1.82/2.04 (~m_main_v_state(s47, c_busy)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15906, 3154, 18489])).
% 1.82/2.04 tff(18491,plain,
% 1.82/2.04 (m_main_v_state(s47, c_ready)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15911, 19, 18490])).
% 1.82/2.04 tff(18492,plain,
% 1.82/2.04 (~m_main_v_request(s47)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15920, 18491, 15908])).
% 1.82/2.04 tff(18493,plain,
% 1.82/2.04 (~node4(s47)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[15924, 3141, 18492])).
% 1.82/2.04 tff(18494,plain,
% 1.82/2.04 (node4(s47) | (~until2p7(s47))),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3746, 3051, 17830])).
% 1.82/2.04 tff(18495,plain,
% 1.82/2.04 (~until2p7(s47)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[18494, 18493])).
% 1.82/2.04 tff(18496,plain,
% 1.82/2.04 (~xuntil2p8(s46)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[3752, 18495])).
% 1.82/2.04 tff(18497,plain,
% 1.82/2.04 (~trans(s99, s47)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[4756, 18495, 16380])).
% 1.82/2.04 tff(18498,plain,
% 1.82/2.04 (~always3(s42)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[114, 15690])).
% 1.82/2.04 tff(18499,plain,
% 1.82/2.04 (~always3(s41)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[126, 18498])).
% 1.82/2.04 tff(18500,plain,
% 1.82/2.04 (~always3(s40)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[138, 18499])).
% 1.82/2.04 tff(18501,plain,
% 1.82/2.04 (~always3(s39)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[150, 18500])).
% 1.82/2.04 tff(18502,plain,
% 1.82/2.04 (~always3(s38)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[162, 18501])).
% 1.82/2.04 tff(18503,plain,
% 1.82/2.04 (~always3(s37)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[174, 18502])).
% 1.82/2.04 tff(18504,plain,
% 1.82/2.04 (~always3(s36)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[186, 18503])).
% 1.82/2.04 tff(18505,plain,
% 1.82/2.04 (~always3(s35)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[198, 18504])).
% 1.82/2.04 tff(18506,plain,
% 1.82/2.04 (~always3(s34)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[210, 18505])).
% 1.82/2.04 tff(18507,plain,
% 1.82/2.04 (~always3(s33)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[222, 18506])).
% 1.82/2.04 tff(18508,plain,
% 1.82/2.04 (~trans(s99, s33)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6462, 18507])).
% 1.82/2.04 tff(18509,plain,
% 1.82/2.04 (~always3(s32)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[234, 18507])).
% 1.82/2.04 tff(18510,plain,
% 1.82/2.04 (~always3(s31)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[246, 18509])).
% 1.82/2.04 tff(18511,plain,
% 1.82/2.04 (~always3(s30)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[258, 18510])).
% 1.82/2.04 tff(18512,plain,
% 1.82/2.04 (~always3(s29)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[270, 18511])).
% 1.82/2.04 tff(18513,plain,
% 1.82/2.04 (~always3(s28)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[282, 18512])).
% 1.82/2.04 tff(18514,plain,
% 1.82/2.04 (~always3(s27)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[294, 18513])).
% 1.82/2.04 tff(18515,plain,
% 1.82/2.04 (~always3(s26)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[306, 18514])).
% 1.82/2.04 tff(18516,plain,
% 1.82/2.04 (~always3(s25)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[318, 18515])).
% 1.82/2.04 tff(18517,plain,
% 1.82/2.04 (~always3(s24)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[330, 18516])).
% 1.82/2.04 tff(18518,plain,
% 1.82/2.04 (~always3(s23)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[342, 18517])).
% 1.82/2.04 tff(18519,plain,
% 1.82/2.04 (~always3(s22)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[354, 18518])).
% 1.82/2.04 tff(18520,plain,
% 1.82/2.04 (~always3(s21)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[366, 18519])).
% 1.82/2.04 tff(18521,plain,
% 1.82/2.04 (~always3(s20)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[378, 18520])).
% 1.82/2.04 tff(18522,plain,
% 1.82/2.04 (~always3(s19)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[390, 18521])).
% 1.82/2.04 tff(18523,plain,
% 1.82/2.04 (~always3(s18)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[402, 18522])).
% 1.82/2.04 tff(18524,plain,
% 1.82/2.04 (~always3(s17)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[414, 18523])).
% 1.82/2.04 tff(18525,plain,
% 1.82/2.04 (~always3(s16)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[426, 18524])).
% 1.82/2.04 tff(18526,plain,
% 1.82/2.04 (~always3(s15)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[438, 18525])).
% 1.82/2.04 tff(18527,plain,
% 1.82/2.04 (~trans(s99, s15)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[5943, 18526])).
% 1.82/2.04 tff(18528,plain,
% 1.82/2.04 (~trans(s99, s16)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6374, 18525])).
% 1.82/2.04 tff(18529,plain,
% 1.82/2.04 (~trans(s99, s40)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6429, 18500])).
% 1.82/2.04 tff(18530,plain,
% 1.82/2.04 (~trans(s99, s29)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6418, 18512])).
% 1.82/2.04 tff(18531,plain,
% 1.82/2.04 (~trans(s99, s44)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[5997, 5988])).
% 1.82/2.04 tff(18532,plain,
% 1.82/2.04 (~trans(s99, s38)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6008, 18502])).
% 1.82/2.04 tff(18533,plain,
% 1.82/2.04 (~always3(s14)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[1942, 18526])).
% 1.82/2.04 tff(18534,plain,
% 1.82/2.04 (~always3(s13)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[1954, 18533])).
% 1.82/2.04 tff(18535,plain,
% 1.82/2.04 (~always3(s12)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[1966, 18534])).
% 1.82/2.04 tff(18536,plain,
% 1.82/2.04 (~always3(s11)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[1978, 18535])).
% 1.82/2.04 tff(18537,plain,
% 1.82/2.04 (~always3(s10)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[1990, 18536])).
% 1.82/2.04 tff(18538,plain,
% 1.82/2.04 (~always3(s9)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2002, 18537])).
% 1.82/2.04 tff(18539,plain,
% 1.82/2.04 (~always3(s8)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2014, 18538])).
% 1.82/2.04 tff(18540,plain,
% 1.82/2.04 (~always3(s7)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2026, 18539])).
% 1.82/2.04 tff(18541,plain,
% 1.82/2.04 (~always3(s6)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2038, 18540])).
% 1.82/2.04 tff(18542,plain,
% 1.82/2.04 (~always3(s5)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2050, 18541])).
% 1.82/2.04 tff(18543,plain,
% 1.82/2.04 (~always3(s4)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2062, 18542])).
% 1.82/2.04 tff(18544,plain,
% 1.82/2.04 (~always3(s3)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2074, 18543])).
% 1.82/2.04 tff(18545,plain,
% 1.82/2.04 (~always3(s2)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[2086, 18544])).
% 1.82/2.04 tff(18546,plain,
% 1.82/2.04 (~trans(s99, s2)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6032, 18545])).
% 1.82/2.04 tff(18547,plain,
% 1.82/2.04 (~trans(s99, s4)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6043, 18543])).
% 1.82/2.04 tff(18548,plain,
% 1.82/2.04 (~trans(s99, s37)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6054, 18503])).
% 1.82/2.04 tff(18549,plain,
% 1.82/2.04 (~trans(s99, s13)),
% 1.82/2.04 inference(unit_resolution,[status(thm)],[6065, 18534])).
% 1.82/2.05 tff(18550,plain,
% 1.82/2.05 (~trans(s99, s42)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6076, 18498])).
% 1.82/2.05 tff(18551,plain,
% 1.82/2.05 (~trans(s99, s25)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6098, 18516])).
% 1.82/2.05 tff(18552,plain,
% 1.82/2.05 (~trans(s99, s22)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6109, 18519])).
% 1.82/2.05 tff(18553,plain,
% 1.82/2.05 (~trans(s99, s28)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6120, 18513])).
% 1.82/2.05 tff(18554,plain,
% 1.82/2.05 (~trans(s99, s34)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6141, 18506])).
% 1.82/2.05 tff(18555,plain,
% 1.82/2.05 (~trans(s99, s11)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6152, 18536])).
% 1.82/2.05 tff(18556,plain,
% 1.82/2.05 (~trans(s99, s5)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6163, 18542])).
% 1.82/2.05 tff(18557,plain,
% 1.82/2.05 (~trans(s99, s20)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6174, 18521])).
% 1.82/2.05 tff(18558,plain,
% 1.82/2.05 (~trans(s99, s36)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6185, 18504])).
% 1.82/2.05 tff(18559,plain,
% 1.82/2.05 (~trans(s99, s43)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6196, 15690])).
% 1.82/2.05 tff(18560,plain,
% 1.82/2.05 (~trans(s99, s10)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6207, 18537])).
% 1.82/2.05 tff(18561,plain,
% 1.82/2.05 (~trans(s99, s12)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6218, 18535])).
% 1.82/2.05 tff(18562,plain,
% 1.82/2.05 (~trans(s99, s18)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6229, 18523])).
% 1.82/2.05 tff(18563,plain,
% 1.82/2.05 (~always3(s1)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2098, 18545])).
% 1.82/2.05 tff(18564,plain,
% 1.82/2.05 (~always3(s0)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2114, 18563])).
% 1.82/2.05 tff(18565,plain,
% 1.82/2.05 (~trans(s99, s0)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6308, 18564])).
% 1.82/2.05 tff(18566,plain,
% 1.82/2.05 (~trans(s99, s26)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6251, 18515])).
% 1.82/2.05 tff(18567,plain,
% 1.82/2.05 (~trans(s99, s8)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6273, 18539])).
% 1.82/2.05 tff(18568,plain,
% 1.82/2.05 (~trans(s99, s35)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6284, 18505])).
% 1.82/2.05 tff(18569,plain,
% 1.82/2.05 (~trans(s99, s30)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6295, 18511])).
% 1.82/2.05 tff(18570,plain,
% 1.82/2.05 (~trans(s99, s3)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6319, 18544])).
% 1.82/2.05 tff(18571,plain,
% 1.82/2.05 (~trans(s99, s6)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6473, 18541])).
% 1.82/2.05 tff(18572,plain,
% 1.82/2.05 (~trans(s99, s23)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6330, 18518])).
% 1.82/2.05 tff(18573,plain,
% 1.82/2.05 (~trans(s99, s27)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6341, 18514])).
% 1.82/2.05 tff(18574,plain,
% 1.82/2.05 (~trans(s99, s24)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6352, 18517])).
% 1.82/2.05 tff(18575,plain,
% 1.82/2.05 (~trans(s99, s32)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6363, 18509])).
% 1.82/2.05 tff(18576,plain,
% 1.82/2.05 (~trans(s99, s14)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6262, 18533])).
% 1.82/2.05 tff(18577,plain,
% 1.82/2.05 (~trans(s99, s17)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6385, 18524])).
% 1.82/2.05 tff(18578,plain,
% 1.82/2.05 (~trans(s99, s7)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6396, 18540])).
% 1.82/2.05 tff(18579,plain,
% 1.82/2.05 (~trans(s99, s21)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6440, 18520])).
% 1.82/2.05 tff(18580,plain,
% 1.82/2.05 (~trans(s99, s1)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6407, 18563])).
% 1.82/2.05 tff(18581,plain,
% 1.82/2.05 (~trans(s99, s31)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6451, 18510])).
% 1.82/2.05 tff(18582,plain,
% 1.82/2.05 (~trans(s99, s39)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[5964, 18501])).
% 1.82/2.05 tff(18583,plain,
% 1.82/2.05 (~trans(s99, s46)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6484, 6475])).
% 1.82/2.05 tff(18584,plain,
% 1.82/2.05 (~always3(s45)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[78, 6475])).
% 1.82/2.05 tff(18585,plain,
% 1.82/2.05 (~trans(s99, s45)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6240, 18584])).
% 1.82/2.05 tff(18586,plain,
% 1.82/2.05 ($false),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[17315, 18585, 18583, 16705, 3009, 8428, 8272, 8260, 8229, 8427, 8420, 8426, 8408, 8396, 8384, 8383, 8360, 8359, 8358, 8424, 8357, 8355, 8354, 8353, 8352, 8356, 8350, 8338, 8302, 8301, 8300, 8299, 8298, 8297, 8296, 8295, 8294, 8281, 8280, 8279, 8278, 8277, 8276, 8275, 8274, 8273, 8421, 8422, 8423, 8228, 8227, 16709, 8425])).
% 1.82/2.05 tff(18587,plain,(always3(s46) | node4(s65) | node4(s99) | trans(s99, s9) | trans(s99, s19) | trans(s99, s41) | trans(s99, s39) | trans(s99, s31) | trans(s99, s1) | trans(s99, s21) | trans(s99, s7) | trans(s99, s17) | trans(s99, s14) | trans(s99, s32) | trans(s99, s24) | trans(s99, s27) | trans(s99, s23) | trans(s99, s6) | trans(s99, s3) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s26) | trans(s99, s0) | trans(s99, s18) | trans(s99, s12) | trans(s99, s10) | trans(s99, s43) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s44) | trans(s99, s29) | trans(s99, s40) | trans(s99, s16) | trans(s99, s48) | trans(s99, s15) | node4(s64) | trans(s99, s33)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.05 tff(18588,plain,
% 1.82/2.05 (always3(s46)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18587, 18582, 3009, 8428, 8272, 8260, 16705, 18581, 18580, 18579, 18578, 18577, 18576, 18575, 18574, 18573, 18572, 18571, 18570, 18569, 18568, 18567, 18566, 18565, 18562, 18561, 18560, 18559, 18558, 18557, 18556, 18555, 18554, 18553, 18552, 18551, 8280, 18550, 18549, 18548, 18547, 18546, 18532, 18531, 18530, 18529, 18528, 8228, 18527, 16709, 18508])).
% 1.82/2.05 tff(18589,plain,
% 1.82/2.05 (~m_main_v_state(s46, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15662, 3154, 18588])).
% 1.82/2.05 tff(18590,plain,
% 1.82/2.05 (always3(s47)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18488, 3009, 16705, 8428, 8272, 8260, 8228, 16709])).
% 1.82/2.05 tff(18591,plain,
% 1.82/2.05 (~m_main_v_state(s47, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15906, 3154, 18590])).
% 1.82/2.05 tff(18592,plain,
% 1.82/2.05 (m_main_v_state(s46, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15946, 19, 18589])).
% 1.82/2.05 tff(18593,plain,
% 1.82/2.05 (~m_main_v_request(s46)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15940, 18592, 18591])).
% 1.82/2.05 tff(18594,plain,
% 1.82/2.05 (~node4(s46)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15931, 3141, 18593])).
% 1.82/2.05 tff(18595,assumption,(~xuntil2p8(s46)), introduced(assumption)).
% 1.82/2.05 tff(18596,plain,
% 1.82/2.05 (node4(s46) | (~until2p7(s46))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3758, 3051, 18595])).
% 1.82/2.05 tff(18597,plain,
% 1.82/2.05 (~until2p7(s46)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18596, 18594])).
% 1.82/2.05 tff(18598,plain,
% 1.82/2.05 (~xuntil2p8(s45)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3764, 18597])).
% 1.82/2.05 tff(18599,plain,
% 1.82/2.05 (~trans(s99, s46)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[5517, 18597, 16380])).
% 1.82/2.05 tff(18600,plain,
% 1.82/2.05 (trans(s99, s45)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[17315, 18599, 16705, 3009, 8428, 8272, 8260, 18582, 18581, 18580, 18579, 18578, 18577, 18576, 18575, 18574, 18573, 18572, 18571, 18570, 18569, 18568, 18567, 18566, 18565, 18562, 18561, 18560, 18559, 18558, 18557, 18556, 18555, 18554, 18553, 18552, 18551, 8280, 18550, 18549, 18548, 18547, 18546, 18532, 18531, 18530, 18529, 18528, 8228, 18527, 16709, 18508])).
% 1.82/2.05 tff(18601,plain,
% 1.82/2.05 (until2p7(s45)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[5064, 18600, 16380])).
% 1.82/2.05 tff(18602,plain,
% 1.82/2.05 (node4(s45)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3770, 3051, 18601, 18598])).
% 1.82/2.05 tff(18603,plain,
% 1.82/2.05 (m_main_v_request(s45)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15686, 3141, 18602])).
% 1.82/2.05 tff(18604,plain,
% 1.82/2.05 (~m_main_v_state(s45, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15682, 18603, 18589])).
% 1.82/2.05 tff(18605,plain,
% 1.82/2.05 (always3(s45)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6240, 18600])).
% 1.82/2.05 tff(18606,plain,
% 1.82/2.05 (~m_main_v_state(s45, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15669, 3154, 18605])).
% 1.82/2.05 tff(18607,plain,
% 1.82/2.05 ($false),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15673, 19, 18606, 18604])).
% 1.82/2.05 tff(18608,plain,(always3(s44) | node4(s65) | node4(s99) | trans(s99, s9) | trans(s99, s19) | trans(s99, s41) | trans(s99, s47) | trans(s99, s48) | node4(s64) | xuntil2p8(s46)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.05 tff(18609,plain,
% 1.82/2.05 (always3(s44)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18608, 3009, 16705, 18395, 18138, 17885, 18497, 17826, 16709, 18496])).
% 1.82/2.05 tff(18610,plain,
% 1.82/2.05 (always3(s45)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[90, 18609])).
% 1.82/2.05 tff(18611,plain,
% 1.82/2.05 (always3(s46)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[78, 18610])).
% 1.82/2.05 tff(18612,plain,
% 1.82/2.05 (~m_main_v_state(s46, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15662, 3154, 18611])).
% 1.82/2.05 tff(18613,plain,
% 1.82/2.05 (~m_main_v_state(s45, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15669, 3154, 18610])).
% 1.82/2.05 tff(18614,plain,
% 1.82/2.05 (m_main_v_state(s45, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15673, 19, 18613])).
% 1.82/2.05 tff(18615,plain,
% 1.82/2.05 (~m_main_v_request(s45)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15682, 18614, 18612])).
% 1.82/2.05 tff(18616,plain,
% 1.82/2.05 (~node4(s45)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15686, 3141, 18615])).
% 1.82/2.05 tff(18617,plain,
% 1.82/2.05 (m_main_v_state(s46, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15946, 19, 18612])).
% 1.82/2.05 tff(18618,plain,
% 1.82/2.05 (~m_main_v_request(s46)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15940, 18617, 18490])).
% 1.82/2.05 tff(18619,plain,
% 1.82/2.05 (~node4(s46)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15931, 3141, 18618])).
% 1.82/2.05 tff(18620,plain,
% 1.82/2.05 (node4(s46) | (~until2p7(s46))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3758, 3051, 18496])).
% 1.82/2.05 tff(18621,plain,
% 1.82/2.05 (~until2p7(s46)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18620, 18619])).
% 1.82/2.05 tff(18622,plain,
% 1.82/2.05 (~xuntil2p8(s45)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3764, 18621])).
% 1.82/2.05 tff(18623,plain,
% 1.82/2.05 (~until2p7(s45)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3770, 3051, 18622, 18616])).
% 1.82/2.05 tff(18624,plain,
% 1.82/2.05 (~xuntil2p8(s44)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3776, 18623])).
% 1.82/2.05 tff(18625,plain,
% 1.82/2.05 (~m_main_v_state(s44, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15704, 3154, 18609])).
% 1.82/2.05 tff(18626,plain,
% 1.82/2.05 (m_main_v_state(s44, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15708, 19, 18625])).
% 1.82/2.05 tff(18627,plain,
% 1.82/2.05 (~m_main_v_request(s44)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15717, 18626, 18613])).
% 1.82/2.05 tff(18628,plain,
% 1.82/2.05 (~node4(s44)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15721, 3141, 18627])).
% 1.82/2.05 tff(18629,plain,
% 1.82/2.05 (xuntil2p8(s44) | (~until2p7(s44))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3782, 3051, 18628])).
% 1.82/2.05 tff(18630,plain,
% 1.82/2.05 (~until2p7(s44)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18629, 18624])).
% 1.82/2.05 tff(18631,plain,
% 1.82/2.05 (~trans(s99, s44)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4573, 18630, 16380])).
% 1.82/2.05 tff(18632,plain,
% 1.82/2.05 (~trans(s99, s53)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4789, 17805, 16380])).
% 1.82/2.05 tff(18633,plain,
% 1.82/2.05 (~trans(s99, s62)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4976, 17769, 16380])).
% 1.82/2.05 tff(18634,plain,
% 1.82/2.05 (~trans(s99, s56)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4987, 17793, 16380])).
% 1.82/2.05 tff(18635,plain,
% 1.82/2.05 (~trans(s99, s55)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[17113, 17794, 16380, 16015])).
% 1.82/2.05 tff(18636,plain,
% 1.82/2.05 (~trans(s99, s69)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4943, 17747, 16380])).
% 1.82/2.05 tff(18637,plain,
% 1.82/2.05 (~trans(s99, s59)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[5352, 17781, 16380])).
% 1.82/2.05 tff(18638,plain,
% 1.82/2.05 (~trans(s99, s68)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[5075, 17751, 16380])).
% 1.82/2.05 tff(18639,plain,
% 1.82/2.05 (~trans(s99, s52)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[17025, 17778, 16380, 17004])).
% 1.82/2.05 tff(18640,plain,
% 1.82/2.05 (~trans(s99, s58)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[16886, 17766, 16380, 16871])).
% 1.82/2.05 tff(18641,plain,
% 1.82/2.05 (~trans(s99, s63)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[5451, 17765, 16380])).
% 1.82/2.05 tff(18642,plain,
% 1.82/2.05 (~trans(s99, s54)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[16793, 17762, 16380])).
% 1.82/2.05 tff(18643,plain,
% 1.82/2.05 (~xuntil2p8(s43)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3788, 18630])).
% 1.82/2.05 tff(18644,plain,
% 1.82/2.05 (always3(s39)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[5964, 4338])).
% 1.82/2.05 tff(18645,plain,
% 1.82/2.05 (always3(s40)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[150, 18644])).
% 1.82/2.05 tff(18646,plain,
% 1.82/2.05 (always3(s41)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[138, 18645])).
% 1.82/2.05 tff(18647,plain,
% 1.82/2.05 (always3(s42)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[126, 18646])).
% 1.82/2.05 tff(18648,plain,
% 1.82/2.05 (always3(s43)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[114, 18647])).
% 1.82/2.05 tff(18649,plain,
% 1.82/2.05 (~m_main_v_state(s43, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15732, 3154, 18648])).
% 1.82/2.05 tff(18650,plain,
% 1.82/2.05 (~node4(s42)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15765, 18649])).
% 1.82/2.05 tff(18651,assumption,(~m_main_v_state(s44, c_busy)), introduced(assumption)).
% 1.82/2.05 tff(18652,plain,
% 1.82/2.05 (m_main_v_state(s43, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15736, 19, 18649])).
% 1.82/2.05 tff(18653,plain,
% 1.82/2.05 (~m_main_v_request(s43)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15885, 18652, 18651])).
% 1.82/2.05 tff(18654,plain,
% 1.82/2.05 (~node4(s43)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15876, 3141, 18653])).
% 1.82/2.05 tff(18655,assumption,(~xuntil2p8(s43)), introduced(assumption)).
% 1.82/2.05 tff(18656,plain,
% 1.82/2.05 (node4(s43) | (~until2p7(s43))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3794, 3051, 18655])).
% 1.82/2.05 tff(18657,plain,
% 1.82/2.05 (~until2p7(s43)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18656, 18654])).
% 1.82/2.05 tff(18658,plain,
% 1.82/2.05 (~xuntil2p8(s42)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3800, 18657])).
% 1.82/2.05 tff(18659,plain,
% 1.82/2.05 (~m_main_v_state(s42, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15759, 3154, 18647])).
% 1.82/2.05 tff(18660,plain,
% 1.82/2.05 (~m_main_v_state(s41, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15788, 3154, 18646])).
% 1.82/2.05 tff(18661,plain,
% 1.82/2.05 (m_main_v_state(s41, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15792, 19, 18660])).
% 1.82/2.05 tff(18662,plain,
% 1.82/2.05 (~m_main_v_request(s41)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15864, 18661, 18659])).
% 1.82/2.05 tff(18663,plain,
% 1.82/2.05 (~node4(s41)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15855, 3141, 18662])).
% 1.82/2.05 tff(18664,plain,
% 1.82/2.05 (~node4(s40)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15821, 18660])).
% 1.82/2.05 tff(18665,plain,
% 1.82/2.05 (until2p7(s39)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4346, 4338, 4303])).
% 1.82/2.05 tff(18666,plain,
% 1.82/2.05 (xuntil2p8(s39)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18103, 18665])).
% 1.82/2.05 tff(18667,plain,
% 1.82/2.05 (until2p7(s40)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3836, 18666])).
% 1.82/2.05 tff(18668,plain,
% 1.82/2.05 (node4(s40) | xuntil2p8(s40)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3830, 3051, 18667])).
% 1.82/2.05 tff(18669,plain,
% 1.82/2.05 (xuntil2p8(s40)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18668, 18664])).
% 1.82/2.05 tff(18670,plain,
% 1.82/2.05 (until2p7(s41)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3824, 18669])).
% 1.82/2.05 tff(18671,plain,
% 1.82/2.05 (node4(s41) | xuntil2p8(s41)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3818, 3051, 18670])).
% 1.82/2.05 tff(18672,plain,
% 1.82/2.05 (xuntil2p8(s41)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18671, 18663])).
% 1.82/2.05 tff(18673,plain,
% 1.82/2.05 (until2p7(s42)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3812, 18672])).
% 1.82/2.05 tff(18674,plain,
% 1.82/2.05 ($false),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3806, 3051, 18673, 18658, 18650])).
% 1.82/2.05 tff(18675,plain,((~trans(s99, s39)) | xuntil2p8(s43) | m_main_v_state(s44, c_busy) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.05 tff(18676,plain,
% 1.82/2.05 (~trans(s99, s39)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18675, 18643, 18625, 16380])).
% 1.82/2.05 tff(18677,plain,
% 1.82/2.05 (~trans(s99, s45)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[5064, 18623, 16380])).
% 1.82/2.05 tff(18678,plain,
% 1.82/2.05 (~trans(s99, s46)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[5517, 18621, 16380])).
% 1.82/2.05 tff(18679,plain,
% 1.82/2.05 (~trans(s99, s61)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[16819, 17762, 16380])).
% 1.82/2.05 tff(18680,plain,
% 1.82/2.05 (~trans(s99, s65)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[5031, 17758, 16380])).
% 1.82/2.05 tff(18681,plain,
% 1.82/2.05 (~trans(s99, s64)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[5462, 17761, 16380])).
% 1.82/2.05 tff(18682,plain,
% 1.82/2.05 (~trans(s99, s66)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[5231, 17756, 16380])).
% 1.82/2.05 tff(18683,plain,
% 1.82/2.05 (~trans(s99, s49)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[5429, 17821, 16380])).
% 1.82/2.05 tff(18684,plain,
% 1.82/2.05 (~trans(s99, s50)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4998, 17817, 16380])).
% 1.82/2.05 tff(18685,plain,
% 1.82/2.05 (~always3(s38)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[162, 8128])).
% 1.82/2.05 tff(18686,plain,
% 1.82/2.05 (~always3(s37)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[174, 18685])).
% 1.82/2.05 tff(18687,plain,
% 1.82/2.05 (~always3(s36)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[186, 18686])).
% 1.82/2.05 tff(18688,plain,
% 1.82/2.05 (~always3(s35)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[198, 18687])).
% 1.82/2.05 tff(18689,plain,
% 1.82/2.05 (~always3(s34)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[210, 18688])).
% 1.82/2.05 tff(18690,plain,
% 1.82/2.05 (~always3(s33)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[222, 18689])).
% 1.82/2.05 tff(18691,plain,
% 1.82/2.05 (~always3(s32)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[234, 18690])).
% 1.82/2.05 tff(18692,plain,
% 1.82/2.05 (~always3(s31)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[246, 18691])).
% 1.82/2.05 tff(18693,plain,
% 1.82/2.05 (~always3(s30)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[258, 18692])).
% 1.82/2.05 tff(18694,plain,
% 1.82/2.05 (~always3(s29)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[270, 18693])).
% 1.82/2.05 tff(18695,plain,
% 1.82/2.05 (~always3(s28)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[282, 18694])).
% 1.82/2.05 tff(18696,plain,
% 1.82/2.05 (~always3(s27)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[294, 18695])).
% 1.82/2.05 tff(18697,plain,
% 1.82/2.05 (~always3(s26)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[306, 18696])).
% 1.82/2.05 tff(18698,plain,
% 1.82/2.05 (~always3(s25)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[318, 18697])).
% 1.82/2.05 tff(18699,plain,
% 1.82/2.05 (~always3(s24)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[330, 18698])).
% 1.82/2.05 tff(18700,plain,
% 1.82/2.05 (~always3(s23)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[342, 18699])).
% 1.82/2.05 tff(18701,plain,
% 1.82/2.05 (~always3(s22)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[354, 18700])).
% 1.82/2.05 tff(18702,plain,
% 1.82/2.05 (~always3(s21)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[366, 18701])).
% 1.82/2.05 tff(18703,plain,
% 1.82/2.05 (~always3(s20)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[378, 18702])).
% 1.82/2.05 tff(18704,plain,
% 1.82/2.05 (~always3(s19)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[390, 18703])).
% 1.82/2.05 tff(18705,plain,
% 1.82/2.05 (~always3(s18)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[402, 18704])).
% 1.82/2.05 tff(18706,plain,
% 1.82/2.05 (~always3(s17)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[414, 18705])).
% 1.82/2.05 tff(18707,plain,
% 1.82/2.05 (~always3(s16)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[426, 18706])).
% 1.82/2.05 tff(18708,plain,
% 1.82/2.05 (~always3(s15)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[438, 18707])).
% 1.82/2.05 tff(18709,plain,
% 1.82/2.05 (~always3(s14)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[1942, 18708])).
% 1.82/2.05 tff(18710,plain,
% 1.82/2.05 (~always3(s13)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[1954, 18709])).
% 1.82/2.05 tff(18711,plain,
% 1.82/2.05 (~always3(s12)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[1966, 18710])).
% 1.82/2.05 tff(18712,plain,
% 1.82/2.05 (~always3(s11)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[1978, 18711])).
% 1.82/2.05 tff(18713,plain,
% 1.82/2.05 (~always3(s10)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[1990, 18712])).
% 1.82/2.05 tff(18714,plain,
% 1.82/2.05 (~always3(s9)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2002, 18713])).
% 1.82/2.05 tff(18715,plain,
% 1.82/2.05 (~always3(s8)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2014, 18714])).
% 1.82/2.05 tff(18716,plain,
% 1.82/2.05 (~always3(s7)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2026, 18715])).
% 1.82/2.05 tff(18717,plain,
% 1.82/2.05 (~always3(s6)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2038, 18716])).
% 1.82/2.05 tff(18718,plain,
% 1.82/2.05 (~always3(s5)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2050, 18717])).
% 1.82/2.05 tff(18719,plain,
% 1.82/2.05 (~always3(s4)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2062, 18718])).
% 1.82/2.05 tff(18720,plain,
% 1.82/2.05 (~always3(s3)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2074, 18719])).
% 1.82/2.05 tff(18721,plain,
% 1.82/2.05 (~always3(s2)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2086, 18720])).
% 1.82/2.05 tff(18722,plain,
% 1.82/2.05 (~always3(s1)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2098, 18721])).
% 1.82/2.05 tff(18723,plain,
% 1.82/2.05 (~always3(s0)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2114, 18722])).
% 1.82/2.05 tff(18724,plain,
% 1.82/2.05 (~trans(s99, s16)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6374, 18707])).
% 1.82/2.05 tff(18725,plain,
% 1.82/2.05 (~trans(s99, s12)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6218, 18711])).
% 1.82/2.05 tff(18726,plain,
% 1.82/2.05 (~trans(s99, s40)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6429, 8126])).
% 1.82/2.05 tff(18727,plain,
% 1.82/2.05 (~trans(s99, s29)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6418, 18694])).
% 1.82/2.05 tff(18728,plain,
% 1.82/2.05 (~trans(s99, s1)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6407, 18722])).
% 1.82/2.05 tff(18729,plain,
% 1.82/2.05 (~trans(s99, s3)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6319, 18720])).
% 1.82/2.05 tff(18730,plain,
% 1.82/2.05 (~trans(s99, s7)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6396, 18716])).
% 1.82/2.05 tff(18731,plain,
% 1.82/2.05 (~trans(s99, s38)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6008, 18685])).
% 1.82/2.05 tff(18732,plain,
% 1.82/2.05 (~trans(s99, s4)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6043, 18719])).
% 1.82/2.05 tff(18733,plain,
% 1.82/2.05 (~trans(s99, s6)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6473, 18717])).
% 1.82/2.05 tff(18734,plain,
% 1.82/2.05 (~trans(s99, s37)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6054, 18686])).
% 1.82/2.05 tff(18735,plain,
% 1.82/2.05 (~trans(s99, s13)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6065, 18710])).
% 1.82/2.05 tff(18736,plain,
% 1.82/2.05 (~trans(s99, s42)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6076, 8124])).
% 1.82/2.05 tff(18737,plain,
% 1.82/2.05 (~trans(s99, s25)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6098, 18698])).
% 1.82/2.05 tff(18738,plain,
% 1.82/2.05 (~trans(s99, s22)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6109, 18701])).
% 1.82/2.05 tff(18739,plain,
% 1.82/2.05 (~trans(s99, s28)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6120, 18695])).
% 1.82/2.05 tff(18740,plain,
% 1.82/2.05 (~trans(s99, s34)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6141, 18689])).
% 1.82/2.05 tff(18741,plain,
% 1.82/2.05 (~trans(s99, s11)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6152, 18712])).
% 1.82/2.05 tff(18742,plain,
% 1.82/2.05 (~trans(s99, s5)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6163, 18718])).
% 1.82/2.05 tff(18743,plain,
% 1.82/2.05 (~trans(s99, s20)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6174, 18703])).
% 1.82/2.05 tff(18744,plain,
% 1.82/2.05 (~trans(s99, s36)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6185, 18687])).
% 1.82/2.05 tff(18745,plain,
% 1.82/2.05 (~trans(s99, s43)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6196, 6187])).
% 1.82/2.05 tff(18746,plain,
% 1.82/2.05 (~trans(s99, s14)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6262, 18709])).
% 1.82/2.05 tff(18747,plain,
% 1.82/2.05 (~trans(s99, s17)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6385, 18706])).
% 1.82/2.05 tff(18748,plain,
% 1.82/2.05 (~trans(s99, s18)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6229, 18705])).
% 1.82/2.05 tff(18749,plain,
% 1.82/2.05 (~trans(s99, s8)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6273, 18715])).
% 1.82/2.05 tff(18750,plain,
% 1.82/2.05 (~trans(s99, s32)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6363, 18691])).
% 1.82/2.05 tff(18751,plain,
% 1.82/2.05 (~trans(s99, s26)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6251, 18697])).
% 1.82/2.05 tff(18752,plain,
% 1.82/2.05 (~trans(s99, s10)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6207, 18713])).
% 1.82/2.05 tff(18753,plain,
% 1.82/2.05 (~trans(s99, s35)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6284, 18688])).
% 1.82/2.05 tff(18754,plain,
% 1.82/2.05 (~trans(s99, s30)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6295, 18693])).
% 1.82/2.05 tff(18755,plain,
% 1.82/2.05 (~trans(s99, s15)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[5943, 18708])).
% 1.82/2.05 tff(18756,plain,
% 1.82/2.05 (~trans(s99, s21)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6440, 18702])).
% 1.82/2.05 tff(18757,plain,
% 1.82/2.05 (~trans(s99, s23)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6330, 18700])).
% 1.82/2.05 tff(18758,plain,
% 1.82/2.05 (~trans(s99, s27)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6341, 18696])).
% 1.82/2.05 tff(18759,plain,
% 1.82/2.05 (~trans(s99, s24)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6352, 18699])).
% 1.82/2.05 tff(18760,plain,
% 1.82/2.05 (~trans(s99, s33)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6462, 18690])).
% 1.82/2.05 tff(18761,plain,
% 1.82/2.05 (~trans(s99, s31)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6451, 18692])).
% 1.82/2.05 tff(18762,plain,
% 1.82/2.05 (~trans(s99, s2)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6032, 18721])).
% 1.82/2.05 tff(18763,plain,
% 1.82/2.05 (trans(s99, s0)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[17126, 18762, 3009, 9503, 10897, 9511, 10899, 9506, 10888, 8428, 8272, 8260, 8429, 8351, 8229, 10885, 10898, 18761, 18760, 10883, 9520, 18759, 18758, 9508, 18757, 18756, 18755, 18754, 18753, 18752, 18751, 18750, 18749, 18748, 9517, 9499, 18747, 9513, 9502, 9501, 18746, 18745, 18744, 18743, 18742, 18741, 18740, 18739, 18738, 10892, 18737, 8280, 18736, 18735, 18734, 18733, 18732, 18731, 8273, 18730, 18729, 9507, 18728, 9516, 9515, 18727, 8228, 18726, 18725, 18724, 10886])).
% 1.82/2.05 tff(18764,plain,
% 1.82/2.05 ($false),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6308, 18763, 18723])).
% 1.82/2.05 tff(18765,plain,(always3(s43) | node4(s99) | trans(s99, s50) | trans(s99, s49) | trans(s99, s66) | trans(s99, s64) | trans(s99, s65) | trans(s99, s61) | trans(s99, s9) | trans(s99, s19) | trans(s99, s41) | trans(s99, s46) | trans(s99, s45) | trans(s99, s39) | trans(s99, s54) | trans(s99, s63) | trans(s99, s58) | trans(s99, s52) | trans(s99, s68) | trans(s99, s59) | trans(s99, s69) | trans(s99, s55) | trans(s99, s56) | trans(s99, s62) | trans(s99, s53) | trans(s99, s47) | trans(s99, s44) | trans(s99, s51) | trans(s99, s60) | trans(s99, s57) | trans(s99, s48) | trans(s99, s67)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.05 tff(18766,plain,
% 1.82/2.05 (always3(s43)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18765, 3009, 18684, 18683, 18682, 18681, 18680, 18679, 18395, 18138, 17885, 18678, 18677, 18676, 18642, 18641, 18640, 18639, 18638, 18637, 18636, 18635, 18634, 18633, 18632, 18497, 18631, 17829, 17828, 17827, 17826, 17754])).
% 1.82/2.05 tff(18767,plain,
% 1.82/2.05 (~m_main_v_state(s43, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15732, 3154, 18766])).
% 1.82/2.05 tff(18768,plain,
% 1.82/2.05 (~node4(s42)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15765, 18767])).
% 1.82/2.05 tff(18769,plain,
% 1.82/2.05 (m_main_v_state(s43, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15736, 19, 18767])).
% 1.82/2.05 tff(18770,plain,
% 1.82/2.05 (~m_main_v_request(s43)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15885, 18769, 18625])).
% 1.82/2.05 tff(18771,plain,
% 1.82/2.05 (~node4(s43)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15876, 3141, 18770])).
% 1.82/2.05 tff(18772,plain,
% 1.82/2.05 (node4(s43) | (~until2p7(s43))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3794, 3051, 18643])).
% 1.82/2.05 tff(18773,plain,
% 1.82/2.05 (~until2p7(s43)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18772, 18771])).
% 1.82/2.05 tff(18774,plain,
% 1.82/2.05 (~xuntil2p8(s42)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3800, 18773])).
% 1.82/2.05 tff(18775,plain,
% 1.82/2.05 (~until2p7(s42)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3806, 3051, 18774, 18768])).
% 1.82/2.05 tff(18776,plain,
% 1.82/2.05 (~trans(s99, s42)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4745, 18775, 16380])).
% 1.82/2.05 tff(18777,plain,
% 1.82/2.05 (~trans(s99, s43)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4954, 18773, 16380])).
% 1.82/2.05 tff(18778,plain,
% 1.82/2.05 (~xuntil2p8(s41)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3812, 18775])).
% 1.82/2.05 tff(18779,plain,
% 1.82/2.05 (always3(s15)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[5943, 4305])).
% 1.82/2.05 tff(18780,plain,
% 1.82/2.05 (always3(s16)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[438, 18779])).
% 1.82/2.05 tff(18781,plain,
% 1.82/2.05 (always3(s17)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[426, 18780])).
% 1.82/2.05 tff(18782,plain,
% 1.82/2.05 (always3(s18)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[414, 18781])).
% 1.82/2.05 tff(18783,plain,
% 1.82/2.05 (~m_main_v_state(s18, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7287, 3154, 18782])).
% 1.82/2.05 tff(18784,plain,
% 1.82/2.05 (~m_main_v_state(s17, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4262, 3154, 18781])).
% 1.82/2.05 tff(18785,plain,
% 1.82/2.05 (m_main_v_state(s17, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7291, 19, 18784])).
% 1.82/2.05 tff(18786,plain,
% 1.82/2.05 (~m_main_v_request(s17)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7300, 18785, 18783])).
% 1.82/2.05 tff(18787,plain,
% 1.82/2.05 (~node4(s17)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7304, 3141, 18786])).
% 1.82/2.05 tff(18788,plain,
% 1.82/2.05 (~m_main_v_state(s16, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4278, 3154, 18780])).
% 1.82/2.05 tff(18789,plain,
% 1.82/2.05 (~m_main_v_state(s15, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7218, 3154, 18779])).
% 1.82/2.05 tff(18790,plain,
% 1.82/2.05 (m_main_v_state(s15, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7222, 19, 18789])).
% 1.82/2.05 tff(18791,plain,
% 1.82/2.05 (~m_main_v_request(s15)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7263, 18790, 18788])).
% 1.82/2.05 tff(18792,plain,
% 1.82/2.05 (~node4(s15)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7254, 3141, 18791])).
% 1.82/2.05 tff(18793,plain,
% 1.82/2.05 (until2p7(s15)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4313, 4305, 4303])).
% 1.82/2.05 tff(18794,plain,
% 1.82/2.05 (node4(s15) | xuntil2p8(s15)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4300, 3051, 18793])).
% 1.82/2.05 tff(18795,plain,
% 1.82/2.05 (xuntil2p8(s15)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18794, 18792])).
% 1.82/2.05 tff(18796,plain,
% 1.82/2.05 (until2p7(s16)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4293, 18795])).
% 1.82/2.05 tff(18797,plain,
% 1.82/2.05 (xuntil2p8(s16)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4288, 18796])).
% 1.82/2.05 tff(18798,plain,
% 1.82/2.05 (until2p7(s17)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4248, 18797])).
% 1.82/2.05 tff(18799,plain,
% 1.82/2.05 (xuntil2p8(s17)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4242, 3051, 18798, 18787])).
% 1.82/2.05 tff(18800,plain,
% 1.82/2.05 (until2p7(s18)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4236, 18799])).
% 1.82/2.05 tff(18801,plain,
% 1.82/2.05 (always3(s19)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[402, 18782])).
% 1.82/2.05 tff(18802,plain,
% 1.82/2.05 (~m_main_v_state(s19, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7336, 3154, 18801])).
% 1.82/2.05 tff(18803,plain,
% 1.82/2.05 (m_main_v_state(s18, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7357, 19, 18783])).
% 1.82/2.05 tff(18804,plain,
% 1.82/2.05 (~m_main_v_request(s18)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7352, 18803, 18802])).
% 1.82/2.05 tff(18805,plain,
% 1.82/2.05 (~node4(s18)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7343, 3141, 18804])).
% 1.82/2.05 tff(18806,plain,
% 1.82/2.05 (xuntil2p8(s18) | (~until2p7(s18))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4230, 3051, 18805])).
% 1.82/2.05 tff(18807,plain,
% 1.82/2.05 (xuntil2p8(s18)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18806, 18800])).
% 1.82/2.05 tff(18808,plain,
% 1.82/2.05 (until2p7(s19)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4224, 18807])).
% 1.82/2.05 tff(18809,plain,
% 1.82/2.05 (m_main_v_state(s19, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[17901, 18802])).
% 1.82/2.05 tff(18810,plain,
% 1.82/2.05 (always3(s20)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[390, 18801])).
% 1.82/2.05 tff(18811,plain,
% 1.82/2.05 (~m_main_v_state(s20, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7432, 3154, 18810])).
% 1.82/2.05 tff(18812,plain,
% 1.82/2.05 (~m_main_v_request(s19)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7473, 18811, 18809])).
% 1.82/2.05 tff(18813,plain,
% 1.82/2.05 (~node4(s19)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7464, 3141, 18812])).
% 1.82/2.05 tff(18814,plain,
% 1.82/2.05 (xuntil2p8(s19) | (~until2p7(s19))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4218, 3051, 18813])).
% 1.82/2.05 tff(18815,plain,
% 1.82/2.05 (xuntil2p8(s19)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18814, 18808])).
% 1.82/2.05 tff(18816,plain,
% 1.82/2.05 (until2p7(s20)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4212, 18815])).
% 1.82/2.05 tff(18817,plain,
% 1.82/2.05 (always3(s21)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[378, 18810])).
% 1.82/2.05 tff(18818,plain,
% 1.82/2.05 (~m_main_v_state(s21, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7440, 3154, 18817])).
% 1.82/2.05 tff(18819,plain,
% 1.82/2.05 (m_main_v_state(s20, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7444, 19, 18811])).
% 1.82/2.05 tff(18820,plain,
% 1.82/2.05 (~m_main_v_request(s20)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7453, 18819, 18818])).
% 1.82/2.05 tff(18821,plain,
% 1.82/2.05 (~node4(s20)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7457, 3141, 18820])).
% 1.82/2.05 tff(18822,plain,
% 1.82/2.05 (xuntil2p8(s20) | (~until2p7(s20))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4206, 3051, 18821])).
% 1.82/2.05 tff(18823,plain,
% 1.82/2.05 (xuntil2p8(s20)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18822, 18816])).
% 1.82/2.05 tff(18824,plain,
% 1.82/2.05 (until2p7(s21)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4200, 18823])).
% 1.82/2.05 tff(18825,plain,
% 1.82/2.05 (always3(s22)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[366, 18817])).
% 1.82/2.05 tff(18826,plain,
% 1.82/2.05 (~m_main_v_state(s22, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7404, 3154, 18825])).
% 1.82/2.05 tff(18827,plain,
% 1.82/2.05 (~node4(s21)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7507, 18826])).
% 1.82/2.05 tff(18828,plain,
% 1.82/2.05 (xuntil2p8(s21) | (~until2p7(s21))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4194, 3051, 18827])).
% 1.82/2.05 tff(18829,plain,
% 1.82/2.05 (xuntil2p8(s21)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18828, 18824])).
% 1.82/2.05 tff(18830,plain,
% 1.82/2.05 (until2p7(s22)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4188, 18829])).
% 1.82/2.05 tff(18831,plain,
% 1.82/2.05 (always3(s23)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[354, 18825])).
% 1.82/2.05 tff(18832,plain,
% 1.82/2.05 (~m_main_v_state(s23, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4160, 3154, 18831])).
% 1.82/2.05 tff(18833,plain,
% 1.82/2.05 (m_main_v_state(s22, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7408, 19, 18826])).
% 1.82/2.05 tff(18834,plain,
% 1.82/2.05 (~m_main_v_request(s22)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7379, 18833, 18832])).
% 1.82/2.05 tff(18835,plain,
% 1.82/2.05 (~node4(s22)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7370, 3141, 18834])).
% 1.82/2.05 tff(18836,plain,
% 1.82/2.05 (xuntil2p8(s22) | (~until2p7(s22))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4182, 3051, 18835])).
% 1.82/2.05 tff(18837,plain,
% 1.82/2.05 (xuntil2p8(s22)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18836, 18830])).
% 1.82/2.05 tff(18838,plain,
% 1.82/2.05 (until2p7(s23)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4175, 18837])).
% 1.82/2.05 tff(18839,plain,
% 1.82/2.05 (xuntil2p8(s23)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4170, 18838])).
% 1.82/2.05 tff(18840,plain,
% 1.82/2.05 (until2p7(s24)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4130, 18839])).
% 1.82/2.05 tff(18841,plain,
% 1.82/2.05 (xuntil2p8(s24)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[17923, 18840])).
% 1.82/2.05 tff(18842,plain,
% 1.82/2.05 (until2p7(s25)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4118, 18841])).
% 1.82/2.05 tff(18843,plain,
% 1.82/2.05 (always3(s24)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[342, 18831])).
% 1.82/2.05 tff(18844,plain,
% 1.82/2.05 (always3(s25)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[330, 18843])).
% 1.82/2.05 tff(18845,plain,
% 1.82/2.05 (always3(s26)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[318, 18844])).
% 1.82/2.05 tff(18846,plain,
% 1.82/2.05 (~m_main_v_state(s26, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7627, 3154, 18845])).
% 1.82/2.05 tff(18847,plain,
% 1.82/2.05 (~m_main_v_state(s25, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7558, 3154, 18844])).
% 1.82/2.05 tff(18848,plain,
% 1.82/2.05 (~node1(s24)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[17941, 18847])).
% 1.82/2.05 tff(18849,plain,
% 1.82/2.05 (m_main_v_state(s25, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[17949, 18847, 18848])).
% 1.82/2.05 tff(18850,plain,
% 1.82/2.05 (~m_main_v_request(s25)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7664, 18849, 18846])).
% 1.82/2.05 tff(18851,plain,
% 1.82/2.05 (~node4(s25)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7655, 3141, 18850])).
% 1.82/2.05 tff(18852,plain,
% 1.82/2.05 (xuntil2p8(s25) | (~until2p7(s25))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4112, 3051, 18851])).
% 1.82/2.05 tff(18853,plain,
% 1.82/2.05 (xuntil2p8(s25)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18852, 18842])).
% 1.82/2.05 tff(18854,plain,
% 1.82/2.05 (until2p7(s26)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4106, 18853])).
% 1.82/2.05 tff(18855,plain,
% 1.82/2.05 (always3(s27)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[306, 18845])).
% 1.82/2.05 tff(18856,plain,
% 1.82/2.05 (~m_main_v_state(s27, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4078, 3154, 18855])).
% 1.82/2.05 tff(18857,plain,
% 1.82/2.05 (m_main_v_state(s26, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7633, 19, 18846])).
% 1.82/2.05 tff(18858,plain,
% 1.82/2.05 (~m_main_v_request(s26)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7642, 18857, 18856])).
% 1.82/2.05 tff(18859,plain,
% 1.82/2.05 (~node4(s26)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7646, 3141, 18858])).
% 1.82/2.05 tff(18860,plain,
% 1.82/2.05 (xuntil2p8(s26) | (~until2p7(s26))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4100, 3051, 18859])).
% 1.82/2.05 tff(18861,plain,
% 1.82/2.05 (xuntil2p8(s26)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18860, 18854])).
% 1.82/2.05 tff(18862,plain,
% 1.82/2.05 (until2p7(s27)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4093, 18861])).
% 1.82/2.05 tff(18863,plain,
% 1.82/2.05 (xuntil2p8(s27)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4088, 18862])).
% 1.82/2.05 tff(18864,plain,
% 1.82/2.05 (until2p7(s28)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4048, 18863])).
% 1.82/2.05 tff(18865,plain,
% 1.82/2.05 (always3(s28)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[294, 18855])).
% 1.82/2.05 tff(18866,plain,
% 1.82/2.05 (always3(s29)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[282, 18865])).
% 1.82/2.05 tff(18867,plain,
% 1.82/2.05 (~m_main_v_state(s29, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7720, 3154, 18866])).
% 1.82/2.05 tff(18868,plain,
% 1.82/2.05 (~node4(s28)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7755, 18867])).
% 1.82/2.05 tff(18869,plain,
% 1.82/2.05 (xuntil2p8(s28) | (~until2p7(s28))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4042, 3051, 18868])).
% 1.82/2.05 tff(18870,plain,
% 1.82/2.05 (xuntil2p8(s28)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18869, 18864])).
% 1.82/2.05 tff(18871,plain,
% 1.82/2.05 (always3(s30)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[270, 18866])).
% 1.82/2.05 tff(18872,plain,
% 1.82/2.05 (always3(s31)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[258, 18871])).
% 1.82/2.05 tff(18873,plain,
% 1.82/2.05 (always3(s32)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[246, 18872])).
% 1.82/2.05 tff(18874,plain,
% 1.82/2.05 (always3(s33)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[234, 18873])).
% 1.82/2.05 tff(18875,plain,
% 1.82/2.05 (always3(s34)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[222, 18874])).
% 1.82/2.05 tff(18876,plain,
% 1.82/2.05 (always3(s35)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[210, 18875])).
% 1.82/2.05 tff(18877,plain,
% 1.82/2.05 (always3(s36)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[198, 18876])).
% 1.82/2.05 tff(18878,plain,
% 1.82/2.05 (always3(s37)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[186, 18877])).
% 1.82/2.05 tff(18879,plain,
% 1.82/2.05 (always3(s38)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[174, 18878])).
% 1.82/2.05 tff(18880,plain,
% 1.82/2.05 (always3(s39)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[162, 18879])).
% 1.82/2.05 tff(18881,plain,
% 1.82/2.05 (always3(s40)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[150, 18880])).
% 1.82/2.05 tff(18882,plain,
% 1.82/2.05 (always3(s41)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[138, 18881])).
% 1.82/2.05 tff(18883,plain,
% 1.82/2.05 (~m_main_v_state(s41, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15788, 3154, 18882])).
% 1.82/2.05 tff(18884,plain,
% 1.82/2.05 (~node4(s40)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15821, 18883])).
% 1.82/2.05 tff(18885,plain,
% 1.82/2.05 (always3(s42)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[126, 18882])).
% 1.82/2.05 tff(18886,plain,
% 1.82/2.05 (~m_main_v_state(s42, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15759, 3154, 18885])).
% 1.82/2.05 tff(18887,plain,
% 1.82/2.05 (m_main_v_state(s41, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15792, 19, 18883])).
% 1.82/2.05 tff(18888,plain,
% 1.82/2.05 (~m_main_v_request(s41)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15864, 18887, 18886])).
% 1.82/2.05 tff(18889,plain,
% 1.82/2.05 (~node4(s41)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15855, 3141, 18888])).
% 1.82/2.05 tff(18890,assumption,(~xuntil2p8(s41)), introduced(assumption)).
% 1.82/2.05 tff(18891,plain,
% 1.82/2.05 (node4(s41) | (~until2p7(s41))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3818, 3051, 18890])).
% 1.82/2.05 tff(18892,plain,
% 1.82/2.05 (~until2p7(s41)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18891, 18889])).
% 1.82/2.05 tff(18893,plain,
% 1.82/2.05 (~xuntil2p8(s40)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3824, 18892])).
% 1.82/2.05 tff(18894,plain,
% 1.82/2.05 (~until2p7(s40)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3830, 3051, 18893, 18884])).
% 1.82/2.05 tff(18895,plain,
% 1.82/2.05 (~xuntil2p8(s39)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3836, 18894])).
% 1.82/2.05 tff(18896,plain,
% 1.82/2.05 (~until2p7(s39)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18103, 18895])).
% 1.82/2.05 tff(18897,plain,
% 1.82/2.05 (~xuntil2p8(s38)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3848, 18896])).
% 1.82/2.05 tff(18898,plain,
% 1.82/2.05 (~m_main_v_state(s39, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[8075, 3154, 18880])).
% 1.82/2.05 tff(18899,plain,
% 1.82/2.05 (~m_main_v_state(s38, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[8021, 3154, 18879])).
% 1.82/2.05 tff(18900,plain,
% 1.82/2.05 (m_main_v_state(s38, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[8096, 19, 18899])).
% 1.82/2.05 tff(18901,plain,
% 1.82/2.05 (~m_main_v_request(s38)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[8091, 18900, 18898])).
% 1.82/2.05 tff(18902,plain,
% 1.82/2.05 (~node4(s38)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[8082, 3141, 18901])).
% 1.82/2.05 tff(18903,plain,
% 1.82/2.05 (xuntil2p8(s38) | (~until2p7(s38))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3854, 3051, 18902])).
% 1.82/2.05 tff(18904,plain,
% 1.82/2.05 (~until2p7(s38)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18903, 18897])).
% 1.82/2.05 tff(18905,plain,
% 1.82/2.05 (~xuntil2p8(s37)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3860, 18904])).
% 1.82/2.05 tff(18906,plain,
% 1.82/2.05 (~m_main_v_state(s37, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3886, 3154, 18878])).
% 1.82/2.05 tff(18907,plain,
% 1.82/2.05 (m_main_v_state(s37, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[8025, 19, 18906])).
% 1.82/2.05 tff(18908,plain,
% 1.82/2.05 (~m_main_v_request(s37)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[8034, 18907, 18899])).
% 1.82/2.05 tff(18909,plain,
% 1.82/2.05 (~node4(s37)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[8038, 3141, 18908])).
% 1.82/2.05 tff(18910,plain,
% 1.82/2.05 (xuntil2p8(s37) | (~until2p7(s37))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3866, 3051, 18909])).
% 1.82/2.05 tff(18911,plain,
% 1.82/2.05 (~until2p7(s37)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18910, 18905])).
% 1.82/2.05 tff(18912,plain,
% 1.82/2.05 (~xuntil2p8(s36)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3872, 18911])).
% 1.82/2.05 tff(18913,plain,
% 1.82/2.05 (~until2p7(s36)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3912, 18912])).
% 1.82/2.05 tff(18914,plain,
% 1.82/2.05 (~xuntil2p8(s35)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3917, 18913])).
% 1.82/2.05 tff(18915,plain,
% 1.82/2.05 (~m_main_v_state(s36, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3902, 3154, 18877])).
% 1.82/2.05 tff(18916,plain,
% 1.82/2.05 (~m_main_v_state(s35, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7905, 3154, 18876])).
% 1.82/2.05 tff(18917,plain,
% 1.82/2.05 (m_main_v_state(s35, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7997, 19, 18916])).
% 1.82/2.05 tff(18918,plain,
% 1.82/2.05 (~m_main_v_request(s35)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7992, 18917, 18915])).
% 1.82/2.05 tff(18919,plain,
% 1.82/2.05 (~node4(s35)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7983, 3141, 18918])).
% 1.82/2.05 tff(18920,plain,
% 1.82/2.05 (xuntil2p8(s35) | (~until2p7(s35))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3924, 3051, 18919])).
% 1.82/2.05 tff(18921,plain,
% 1.82/2.05 (~until2p7(s35)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18920, 18914])).
% 1.82/2.05 tff(18922,plain,
% 1.82/2.05 (~xuntil2p8(s34)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3930, 18921])).
% 1.82/2.05 tff(18923,plain,
% 1.82/2.05 (~m_main_v_state(s34, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7928, 3154, 18875])).
% 1.82/2.05 tff(18924,plain,
% 1.82/2.05 (m_main_v_state(s34, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7932, 19, 18923])).
% 1.82/2.05 tff(18925,plain,
% 1.82/2.05 (~m_main_v_request(s34)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7921, 18924, 18916])).
% 1.82/2.05 tff(18926,plain,
% 1.82/2.05 (~node4(s34)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7912, 3141, 18925])).
% 1.82/2.05 tff(18927,plain,
% 1.82/2.05 (xuntil2p8(s34) | (~until2p7(s34))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3936, 3051, 18926])).
% 1.82/2.05 tff(18928,plain,
% 1.82/2.05 (~until2p7(s34)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18927, 18922])).
% 1.82/2.05 tff(18929,plain,
% 1.82/2.05 (~xuntil2p8(s33)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3942, 18928])).
% 1.82/2.05 tff(18930,plain,
% 1.82/2.05 (~node4(s33)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7961, 18923])).
% 1.82/2.05 tff(18931,plain,
% 1.82/2.05 (xuntil2p8(s33) | (~until2p7(s33))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3948, 3051, 18930])).
% 1.82/2.05 tff(18932,plain,
% 1.82/2.05 (~until2p7(s33)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18931, 18929])).
% 1.82/2.05 tff(18933,plain,
% 1.82/2.05 (~xuntil2p8(s32)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3954, 18932])).
% 1.82/2.05 tff(18934,plain,
% 1.82/2.05 (~until2p7(s32)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3994, 18933])).
% 1.82/2.05 tff(18935,plain,
% 1.82/2.05 (~xuntil2p8(s31)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3999, 18934])).
% 1.82/2.05 tff(18936,plain,
% 1.82/2.05 (~m_main_v_state(s32, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3984, 3154, 18873])).
% 1.82/2.05 tff(18937,plain,
% 1.82/2.05 (~m_main_v_state(s31, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7860, 3154, 18872])).
% 1.82/2.05 tff(18938,plain,
% 1.82/2.05 (~node1(s30)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18018, 18937])).
% 1.82/2.05 tff(18939,plain,
% 1.82/2.05 (m_main_v_state(s31, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18026, 18938, 18937])).
% 1.82/2.05 tff(18940,plain,
% 1.82/2.05 (~m_main_v_request(s31)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7849, 18939, 18936])).
% 1.82/2.05 tff(18941,plain,
% 1.82/2.05 (~node4(s31)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7840, 3141, 18940])).
% 1.82/2.05 tff(18942,plain,
% 1.82/2.05 (xuntil2p8(s31) | (~until2p7(s31))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4006, 3051, 18941])).
% 1.82/2.05 tff(18943,plain,
% 1.82/2.05 (~until2p7(s31)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18942, 18935])).
% 1.82/2.05 tff(18944,plain,
% 1.82/2.05 (~xuntil2p8(s30)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4012, 18943])).
% 1.82/2.05 tff(18945,plain,
% 1.82/2.05 (~node4(s30)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7889, 18937])).
% 1.82/2.05 tff(18946,plain,
% 1.82/2.05 (xuntil2p8(s30) | (~until2p7(s30))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4018, 3051, 18945])).
% 1.82/2.05 tff(18947,plain,
% 1.82/2.05 (~until2p7(s30)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18946, 18944])).
% 1.82/2.05 tff(18948,plain,
% 1.82/2.05 (~xuntil2p8(s29)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4024, 18947])).
% 1.82/2.05 tff(18949,plain,
% 1.82/2.05 (~m_main_v_state(s30, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7697, 3154, 18871])).
% 1.82/2.05 tff(18950,plain,
% 1.82/2.05 (m_main_v_state(s29, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[17993, 18867])).
% 1.82/2.05 tff(18951,plain,
% 1.82/2.05 (~m_main_v_request(s29)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7713, 18950, 18949])).
% 1.82/2.05 tff(18952,plain,
% 1.82/2.05 (~node4(s29)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[7704, 3141, 18951])).
% 1.82/2.05 tff(18953,plain,
% 1.82/2.05 (xuntil2p8(s29) | (~until2p7(s29))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4030, 3051, 18952])).
% 1.82/2.05 tff(18954,plain,
% 1.82/2.05 (~until2p7(s29)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18953, 18948])).
% 1.82/2.05 tff(18955,plain,
% 1.82/2.05 ($false),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[4036, 18954, 18870])).
% 1.82/2.05 tff(18956,plain,((~trans(s99, s15)) | xuntil2p8(s41) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.05 tff(18957,plain,
% 1.82/2.05 (~trans(s99, s15)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[18956, 18778, 16380])).
% 1.82/2.05 tff(18958,plain,
% 1.82/2.05 (~always3(s39)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[150, 6420])).
% 1.82/2.05 tff(18959,plain,
% 1.82/2.05 (~always3(s38)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[162, 18958])).
% 1.82/2.05 tff(18960,plain,
% 1.82/2.05 (~always3(s37)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[174, 18959])).
% 1.82/2.05 tff(18961,plain,
% 1.82/2.05 (~always3(s36)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[186, 18960])).
% 1.82/2.05 tff(18962,plain,
% 1.82/2.05 (~always3(s35)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[198, 18961])).
% 1.82/2.05 tff(18963,plain,
% 1.82/2.05 (~always3(s34)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[210, 18962])).
% 1.82/2.05 tff(18964,plain,
% 1.82/2.05 (~always3(s33)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[222, 18963])).
% 1.82/2.05 tff(18965,plain,
% 1.82/2.05 (~always3(s32)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[234, 18964])).
% 1.82/2.05 tff(18966,plain,
% 1.82/2.05 (~always3(s31)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[246, 18965])).
% 1.82/2.05 tff(18967,plain,
% 1.82/2.05 (~always3(s30)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[258, 18966])).
% 1.82/2.05 tff(18968,plain,
% 1.82/2.05 (~always3(s29)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[270, 18967])).
% 1.82/2.05 tff(18969,plain,
% 1.82/2.05 (~always3(s28)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[282, 18968])).
% 1.82/2.05 tff(18970,plain,
% 1.82/2.05 (~always3(s27)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[294, 18969])).
% 1.82/2.05 tff(18971,plain,
% 1.82/2.05 (~always3(s26)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[306, 18970])).
% 1.82/2.05 tff(18972,plain,
% 1.82/2.05 (~always3(s25)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[318, 18971])).
% 1.82/2.05 tff(18973,plain,
% 1.82/2.05 (~always3(s24)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[330, 18972])).
% 1.82/2.05 tff(18974,plain,
% 1.82/2.05 (~always3(s23)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[342, 18973])).
% 1.82/2.05 tff(18975,plain,
% 1.82/2.05 (~always3(s22)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[354, 18974])).
% 1.82/2.05 tff(18976,plain,
% 1.82/2.05 (~always3(s21)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[366, 18975])).
% 1.82/2.05 tff(18977,plain,
% 1.82/2.05 (~always3(s20)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[378, 18976])).
% 1.82/2.05 tff(18978,plain,
% 1.82/2.05 (~always3(s19)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[390, 18977])).
% 1.82/2.05 tff(18979,plain,
% 1.82/2.05 (~always3(s18)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[402, 18978])).
% 1.82/2.05 tff(18980,plain,
% 1.82/2.05 (~always3(s17)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[414, 18979])).
% 1.82/2.05 tff(18981,plain,
% 1.82/2.05 (~always3(s16)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[426, 18980])).
% 1.82/2.05 tff(18982,plain,
% 1.82/2.05 (~always3(s15)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[438, 18981])).
% 1.82/2.05 tff(18983,plain,
% 1.82/2.05 (~always3(s14)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[1942, 18982])).
% 1.82/2.05 tff(18984,plain,
% 1.82/2.05 (~always3(s13)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[1954, 18983])).
% 1.82/2.05 tff(18985,plain,
% 1.82/2.05 (~always3(s12)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[1966, 18984])).
% 1.82/2.05 tff(18986,plain,
% 1.82/2.05 (~always3(s11)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[1978, 18985])).
% 1.82/2.05 tff(18987,plain,
% 1.82/2.05 (~always3(s10)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[1990, 18986])).
% 1.82/2.05 tff(18988,plain,
% 1.82/2.05 (~always3(s9)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2002, 18987])).
% 1.82/2.05 tff(18989,plain,
% 1.82/2.05 (~always3(s8)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2014, 18988])).
% 1.82/2.05 tff(18990,plain,
% 1.82/2.05 (~always3(s7)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2026, 18989])).
% 1.82/2.05 tff(18991,plain,
% 1.82/2.05 (~always3(s6)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2038, 18990])).
% 1.82/2.05 tff(18992,plain,
% 1.82/2.05 (~always3(s5)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2050, 18991])).
% 1.82/2.05 tff(18993,plain,
% 1.82/2.05 (~always3(s4)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2062, 18992])).
% 1.82/2.05 tff(18994,plain,
% 1.82/2.05 (~always3(s3)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2074, 18993])).
% 1.82/2.05 tff(18995,plain,
% 1.82/2.05 (~always3(s2)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2086, 18994])).
% 1.82/2.05 tff(18996,plain,
% 1.82/2.05 (~always3(s1)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2098, 18995])).
% 1.82/2.05 tff(18997,plain,
% 1.82/2.05 (~always3(s0)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2114, 18996])).
% 1.82/2.05 tff(18998,plain,
% 1.82/2.05 (~trans(s99, s40)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6429, 6420])).
% 1.82/2.05 tff(18999,plain,
% 1.82/2.05 (~trans(s99, s12)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6218, 18985])).
% 1.82/2.05 tff(19000,plain,
% 1.82/2.05 (~trans(s99, s29)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6418, 18968])).
% 1.82/2.05 tff(19001,plain,
% 1.82/2.05 (~trans(s99, s1)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6407, 18996])).
% 1.82/2.05 tff(19002,plain,
% 1.82/2.05 (~trans(s99, s7)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6396, 18990])).
% 1.82/2.05 tff(19003,plain,
% 1.82/2.05 (~trans(s99, s3)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6319, 18994])).
% 1.82/2.05 tff(19004,plain,
% 1.82/2.05 (~trans(s99, s17)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6385, 18980])).
% 1.82/2.05 tff(19005,plain,
% 1.82/2.05 (~trans(s99, s38)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6008, 18959])).
% 1.82/2.05 tff(19006,plain,
% 1.82/2.05 (~trans(s99, s4)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6043, 18993])).
% 1.82/2.05 tff(19007,plain,
% 1.82/2.05 (~trans(s99, s6)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6473, 18991])).
% 1.82/2.05 tff(19008,plain,
% 1.82/2.05 (~trans(s99, s37)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6054, 18960])).
% 1.82/2.05 tff(19009,plain,
% 1.82/2.05 (~trans(s99, s13)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6065, 18984])).
% 1.82/2.05 tff(19010,plain,
% 1.82/2.05 (~trans(s99, s25)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6098, 18972])).
% 1.82/2.05 tff(19011,plain,
% 1.82/2.05 (~trans(s99, s22)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6109, 18975])).
% 1.82/2.05 tff(19012,plain,
% 1.82/2.05 (~trans(s99, s28)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6120, 18969])).
% 1.82/2.05 tff(19013,plain,
% 1.82/2.05 (~trans(s99, s34)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6141, 18963])).
% 1.82/2.05 tff(19014,plain,
% 1.82/2.05 (~trans(s99, s11)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6152, 18986])).
% 1.82/2.05 tff(19015,plain,
% 1.82/2.05 (~trans(s99, s5)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6163, 18992])).
% 1.82/2.05 tff(19016,plain,
% 1.82/2.05 (~trans(s99, s20)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6174, 18977])).
% 1.82/2.05 tff(19017,plain,
% 1.82/2.05 (~trans(s99, s36)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6185, 18961])).
% 1.82/2.05 tff(19018,plain,
% 1.82/2.05 (~trans(s99, s14)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6262, 18983])).
% 1.82/2.05 tff(19019,plain,
% 1.82/2.05 (~trans(s99, s32)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6363, 18965])).
% 1.82/2.05 tff(19020,plain,
% 1.82/2.05 (~trans(s99, s18)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6229, 18979])).
% 1.82/2.05 tff(19021,plain,
% 1.82/2.05 (~trans(s99, s8)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6273, 18989])).
% 1.82/2.05 tff(19022,plain,
% 1.82/2.05 (~trans(s99, s24)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6352, 18973])).
% 1.82/2.05 tff(19023,plain,
% 1.82/2.05 (~trans(s99, s26)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6251, 18971])).
% 1.82/2.05 tff(19024,plain,
% 1.82/2.05 (~trans(s99, s10)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6207, 18987])).
% 1.82/2.05 tff(19025,plain,
% 1.82/2.05 (~trans(s99, s35)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6284, 18962])).
% 1.82/2.05 tff(19026,plain,
% 1.82/2.05 (~trans(s99, s30)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6295, 18967])).
% 1.82/2.05 tff(19027,plain,
% 1.82/2.05 (~trans(s99, s33)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6462, 18964])).
% 1.82/2.05 tff(19028,plain,
% 1.82/2.05 (~trans(s99, s21)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6440, 18976])).
% 1.82/2.05 tff(19029,plain,
% 1.82/2.05 (~trans(s99, s23)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6330, 18974])).
% 1.82/2.05 tff(19030,plain,
% 1.82/2.05 (~trans(s99, s27)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6341, 18970])).
% 1.82/2.05 tff(19031,plain,
% 1.82/2.05 (~trans(s99, s16)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6374, 18981])).
% 1.82/2.05 tff(19032,plain,
% 1.82/2.05 (~trans(s99, s31)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6451, 18966])).
% 1.82/2.05 tff(19033,plain,
% 1.82/2.05 (~trans(s99, s2)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6032, 18995])).
% 1.82/2.05 tff(19034,plain,
% 1.82/2.05 (trans(s99, s0)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[17126, 19033, 3009, 9503, 10897, 9511, 10899, 9506, 10888, 8428, 8272, 8260, 8429, 8351, 8229, 10885, 10898, 8227, 19032, 10883, 9520, 19031, 19030, 9508, 19029, 19028, 19027, 19026, 19025, 19024, 19023, 19022, 19021, 19020, 9517, 9499, 19019, 9513, 9502, 9501, 19018, 8301, 19017, 19016, 19015, 19014, 19013, 19012, 19011, 10892, 19010, 8280, 8279, 19009, 19008, 19007, 19006, 19005, 8273, 19004, 19003, 9507, 19002, 9516, 9515, 19001, 8228, 19000, 18999, 18998, 10886])).
% 1.82/2.05 tff(19035,plain,
% 1.82/2.05 ($false),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[6308, 19034, 18997])).
% 1.82/2.05 tff(19036,plain,(always3(s40) | node4(s99) | trans(s99, s50) | trans(s99, s49) | trans(s99, s66) | trans(s99, s64) | trans(s99, s65) | trans(s99, s61) | trans(s99, s9) | trans(s99, s19) | trans(s99, s41) | trans(s99, s46) | trans(s99, s45) | trans(s99, s39) | trans(s99, s54) | trans(s99, s63) | trans(s99, s15) | trans(s99, s58) | trans(s99, s52) | trans(s99, s68) | trans(s99, s59) | trans(s99, s69) | trans(s99, s55) | trans(s99, s56) | trans(s99, s62) | trans(s99, s43) | trans(s99, s53) | trans(s99, s47) | trans(s99, s42) | trans(s99, s44) | trans(s99, s51) | trans(s99, s60) | trans(s99, s57) | trans(s99, s48) | trans(s99, s67)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.05 tff(19037,plain,
% 1.82/2.05 (always3(s40)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[19036, 3009, 18684, 18683, 18682, 18681, 18680, 18679, 18395, 18138, 17885, 18678, 18677, 18676, 18642, 18641, 18957, 18640, 18639, 18638, 18637, 18636, 18635, 18634, 18633, 18777, 18632, 18497, 18776, 18631, 17829, 17828, 17827, 17826, 17754])).
% 1.82/2.05 tff(19038,plain,
% 1.82/2.05 (always3(s41)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[138, 19037])).
% 1.82/2.05 tff(19039,plain,
% 1.82/2.05 (~m_main_v_state(s41, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15788, 3154, 19038])).
% 1.82/2.05 tff(19040,plain,
% 1.82/2.05 (~node4(s40)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15821, 19039])).
% 1.82/2.05 tff(19041,plain,
% 1.82/2.05 (always3(s42)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[126, 19038])).
% 1.82/2.05 tff(19042,plain,
% 1.82/2.05 (~m_main_v_state(s42, c_busy)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15759, 3154, 19041])).
% 1.82/2.05 tff(19043,plain,
% 1.82/2.05 (m_main_v_state(s41, c_ready)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15792, 19, 19039])).
% 1.82/2.05 tff(19044,plain,
% 1.82/2.05 (~m_main_v_request(s41)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15864, 19043, 19042])).
% 1.82/2.05 tff(19045,plain,
% 1.82/2.05 (~node4(s41)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[15855, 3141, 19044])).
% 1.82/2.05 tff(19046,plain,
% 1.82/2.05 (node4(s41) | (~until2p7(s41))),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3818, 3051, 18778])).
% 1.82/2.05 tff(19047,plain,
% 1.82/2.05 (~until2p7(s41)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[19046, 19045])).
% 1.82/2.05 tff(19048,plain,
% 1.82/2.05 (~xuntil2p8(s40)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3824, 19047])).
% 1.82/2.05 tff(19049,plain,
% 1.82/2.05 (~until2p7(s40)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[3830, 3051, 19048, 19040])).
% 1.82/2.05 tff(19050,plain,
% 1.82/2.05 (~trans(s99, s40)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[5396, 19049, 16380])).
% 1.82/2.05 tff(19051,plain,
% 1.82/2.05 (~always3(s33)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[222, 8060])).
% 1.82/2.05 tff(19052,plain,
% 1.82/2.05 (~always3(s32)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[234, 19051])).
% 1.82/2.05 tff(19053,plain,
% 1.82/2.05 (~always3(s31)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[246, 19052])).
% 1.82/2.05 tff(19054,plain,
% 1.82/2.05 (~always3(s30)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[258, 19053])).
% 1.82/2.05 tff(19055,plain,
% 1.82/2.05 (~always3(s29)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[270, 19054])).
% 1.82/2.05 tff(19056,plain,
% 1.82/2.05 (~always3(s28)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[282, 19055])).
% 1.82/2.05 tff(19057,plain,
% 1.82/2.05 (~always3(s27)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[294, 19056])).
% 1.82/2.05 tff(19058,plain,
% 1.82/2.05 (~always3(s26)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[306, 19057])).
% 1.82/2.05 tff(19059,plain,
% 1.82/2.05 (~always3(s25)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[318, 19058])).
% 1.82/2.05 tff(19060,plain,
% 1.82/2.05 (~always3(s24)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[330, 19059])).
% 1.82/2.05 tff(19061,plain,
% 1.82/2.05 (~always3(s23)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[342, 19060])).
% 1.82/2.05 tff(19062,plain,
% 1.82/2.05 (~always3(s22)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[354, 19061])).
% 1.82/2.05 tff(19063,plain,
% 1.82/2.05 (~always3(s21)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[366, 19062])).
% 1.82/2.05 tff(19064,plain,
% 1.82/2.05 (~always3(s20)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[378, 19063])).
% 1.82/2.05 tff(19065,plain,
% 1.82/2.05 (~always3(s19)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[390, 19064])).
% 1.82/2.05 tff(19066,plain,
% 1.82/2.05 (~always3(s18)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[402, 19065])).
% 1.82/2.05 tff(19067,plain,
% 1.82/2.05 (~always3(s17)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[414, 19066])).
% 1.82/2.05 tff(19068,plain,
% 1.82/2.05 (~always3(s16)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[426, 19067])).
% 1.82/2.05 tff(19069,plain,
% 1.82/2.05 (~always3(s15)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[438, 19068])).
% 1.82/2.05 tff(19070,plain,
% 1.82/2.05 (~always3(s14)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[1942, 19069])).
% 1.82/2.05 tff(19071,plain,
% 1.82/2.05 (~always3(s13)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[1954, 19070])).
% 1.82/2.05 tff(19072,plain,
% 1.82/2.05 (~always3(s12)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[1966, 19071])).
% 1.82/2.05 tff(19073,plain,
% 1.82/2.05 (~always3(s11)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[1978, 19072])).
% 1.82/2.05 tff(19074,plain,
% 1.82/2.05 (~always3(s10)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[1990, 19073])).
% 1.82/2.05 tff(19075,plain,
% 1.82/2.05 (~always3(s9)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2002, 19074])).
% 1.82/2.05 tff(19076,plain,
% 1.82/2.05 (~always3(s8)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2014, 19075])).
% 1.82/2.05 tff(19077,plain,
% 1.82/2.05 (~always3(s7)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2026, 19076])).
% 1.82/2.05 tff(19078,plain,
% 1.82/2.05 (~always3(s6)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2038, 19077])).
% 1.82/2.05 tff(19079,plain,
% 1.82/2.05 (~always3(s5)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2050, 19078])).
% 1.82/2.05 tff(19080,plain,
% 1.82/2.05 (~always3(s4)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2062, 19079])).
% 1.82/2.05 tff(19081,plain,
% 1.82/2.05 (~always3(s3)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2074, 19080])).
% 1.82/2.05 tff(19082,plain,
% 1.82/2.05 (~always3(s2)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2086, 19081])).
% 1.82/2.05 tff(19083,plain,
% 1.82/2.05 (~always3(s1)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2098, 19082])).
% 1.82/2.05 tff(19084,plain,
% 1.82/2.05 (~always3(s0)),
% 1.82/2.05 inference(unit_resolution,[status(thm)],[2114, 19083])).
% 1.82/2.06 tff(19085,plain,
% 1.82/2.06 (~trans(s99, s12)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6218, 19072])).
% 1.82/2.06 tff(19086,plain,
% 1.82/2.06 (~trans(s99, s29)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6418, 19055])).
% 1.82/2.06 tff(19087,plain,
% 1.82/2.06 (~trans(s99, s1)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6407, 19083])).
% 1.82/2.06 tff(19088,plain,
% 1.82/2.06 (~trans(s99, s7)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6396, 19077])).
% 1.82/2.06 tff(19089,plain,
% 1.82/2.06 (~trans(s99, s3)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6319, 19081])).
% 1.82/2.06 tff(19090,plain,
% 1.82/2.06 (~trans(s99, s17)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6385, 19067])).
% 1.82/2.06 tff(19091,plain,
% 1.82/2.06 (~trans(s99, s38)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6008, 5999])).
% 1.82/2.06 tff(19092,plain,
% 1.82/2.06 (~trans(s99, s4)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6043, 19080])).
% 1.82/2.06 tff(19093,plain,
% 1.82/2.06 (~trans(s99, s6)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6473, 19078])).
% 1.82/2.06 tff(19094,plain,
% 1.82/2.06 (~trans(s99, s37)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6054, 8052])).
% 1.82/2.06 tff(19095,plain,
% 1.82/2.06 (~trans(s99, s13)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6065, 19071])).
% 1.82/2.06 tff(19096,plain,
% 1.82/2.06 (~trans(s99, s25)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6098, 19059])).
% 1.82/2.06 tff(19097,plain,
% 1.82/2.06 (~trans(s99, s22)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6109, 19062])).
% 1.82/2.06 tff(19098,plain,
% 1.82/2.06 (~trans(s99, s28)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6120, 19056])).
% 1.82/2.06 tff(19099,plain,
% 1.82/2.06 (~trans(s99, s34)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6141, 8060])).
% 1.82/2.06 tff(19100,plain,
% 1.82/2.06 (~trans(s99, s11)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6152, 19073])).
% 1.82/2.06 tff(19101,plain,
% 1.82/2.06 (~trans(s99, s5)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6163, 19079])).
% 1.82/2.06 tff(19102,plain,
% 1.82/2.06 (~trans(s99, s20)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6174, 19064])).
% 1.82/2.06 tff(19103,plain,
% 1.82/2.06 (~trans(s99, s36)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6185, 8057])).
% 1.82/2.06 tff(19104,plain,
% 1.82/2.06 (~trans(s99, s14)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6262, 19070])).
% 1.82/2.06 tff(19105,plain,
% 1.82/2.06 (~trans(s99, s32)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6363, 19052])).
% 1.82/2.06 tff(19106,plain,
% 1.82/2.06 (~trans(s99, s18)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6229, 19066])).
% 1.82/2.06 tff(19107,plain,
% 1.82/2.06 (~trans(s99, s8)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6273, 19076])).
% 1.82/2.06 tff(19108,plain,
% 1.82/2.06 (~trans(s99, s24)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6352, 19060])).
% 1.82/2.06 tff(19109,plain,
% 1.82/2.06 (~trans(s99, s26)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6251, 19058])).
% 1.82/2.06 tff(19110,plain,
% 1.82/2.06 (~trans(s99, s10)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6207, 19074])).
% 1.82/2.06 tff(19111,plain,
% 1.82/2.06 (~trans(s99, s35)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6284, 8058])).
% 1.82/2.06 tff(19112,plain,
% 1.82/2.06 (~trans(s99, s30)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6295, 19054])).
% 1.82/2.06 tff(19113,plain,
% 1.82/2.06 (~trans(s99, s33)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6462, 19051])).
% 1.82/2.06 tff(19114,plain,
% 1.82/2.06 (~trans(s99, s21)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6440, 19063])).
% 1.82/2.06 tff(19115,plain,
% 1.82/2.06 (~trans(s99, s23)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6330, 19061])).
% 1.82/2.06 tff(19116,plain,
% 1.82/2.06 (~trans(s99, s27)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6341, 19057])).
% 1.82/2.06 tff(19117,plain,
% 1.82/2.06 (~trans(s99, s16)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6374, 19068])).
% 1.82/2.06 tff(19118,plain,
% 1.82/2.06 (~trans(s99, s31)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6451, 19053])).
% 1.82/2.06 tff(19119,plain,
% 1.82/2.06 (~trans(s99, s2)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6032, 19082])).
% 1.82/2.06 tff(19120,plain,
% 1.82/2.06 (trans(s99, s0)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[17126, 19119, 3009, 9503, 10897, 9511, 10899, 9506, 10888, 8428, 8272, 8260, 8429, 8351, 8229, 10885, 10898, 8227, 19118, 10883, 9520, 19117, 19116, 9508, 19115, 19114, 19113, 19112, 19111, 19110, 19109, 19108, 19107, 19106, 9517, 9499, 19105, 9513, 9502, 9501, 19104, 8301, 19103, 19102, 19101, 19100, 19099, 19098, 19097, 10892, 19096, 8280, 8279, 19095, 19094, 19093, 19092, 19091, 8273, 19090, 19089, 9507, 19088, 9516, 9515, 19087, 8228, 19086, 19085, 8422, 10886])).
% 1.82/2.06 tff(19121,plain,
% 1.82/2.06 ($false),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6308, 19120, 19084])).
% 1.82/2.06 tff(19122,plain,(always3(s38) | node4(s99) | trans(s99, s50) | trans(s99, s49) | trans(s99, s66) | trans(s99, s64) | trans(s99, s65) | trans(s99, s61) | trans(s99, s9) | trans(s99, s19) | trans(s99, s41) | trans(s99, s46) | trans(s99, s45) | trans(s99, s39) | trans(s99, s54) | trans(s99, s63) | trans(s99, s15) | trans(s99, s58) | trans(s99, s52) | trans(s99, s68) | trans(s99, s59) | trans(s99, s69) | trans(s99, s55) | trans(s99, s56) | trans(s99, s62) | trans(s99, s43) | trans(s99, s53) | trans(s99, s47) | trans(s99, s42) | trans(s99, s44) | trans(s99, s51) | trans(s99, s60) | trans(s99, s57) | trans(s99, s48) | trans(s99, s40) | trans(s99, s67)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.06 tff(19123,plain,
% 1.82/2.06 (always3(s38)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19122, 3009, 18684, 18683, 18682, 18681, 18680, 18679, 18395, 18138, 17885, 18678, 18677, 18676, 18642, 18641, 18957, 18640, 18639, 18638, 18637, 18636, 18635, 18634, 18633, 18777, 18632, 18497, 18776, 18631, 17829, 17828, 17827, 17826, 19050, 17754])).
% 1.82/2.06 tff(19124,plain,
% 1.82/2.06 (always3(s39)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[162, 19123])).
% 1.82/2.06 tff(19125,plain,
% 1.82/2.06 (~m_main_v_state(s39, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[8075, 3154, 19124])).
% 1.82/2.06 tff(19126,plain,
% 1.82/2.06 (~m_main_v_state(s38, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[8021, 3154, 19123])).
% 1.82/2.06 tff(19127,plain,
% 1.82/2.06 (m_main_v_state(s38, c_ready)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[8096, 19, 19126])).
% 1.82/2.06 tff(19128,plain,
% 1.82/2.06 (~m_main_v_request(s38)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[8091, 19127, 19125])).
% 1.82/2.06 tff(19129,plain,
% 1.82/2.06 (~node4(s38)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[8082, 3141, 19128])).
% 1.82/2.06 tff(19130,plain,
% 1.82/2.06 (~xuntil2p8(s39)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3836, 19049])).
% 1.82/2.06 tff(19131,plain,
% 1.82/2.06 (~until2p7(s39)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[18103, 19130])).
% 1.82/2.06 tff(19132,plain,
% 1.82/2.06 (~xuntil2p8(s38)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3848, 19131])).
% 1.82/2.06 tff(19133,plain,
% 1.82/2.06 (node4(s38) | (~until2p7(s38))),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3854, 3051, 19132])).
% 1.82/2.06 tff(19134,plain,
% 1.82/2.06 (~until2p7(s38)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19133, 19129])).
% 1.82/2.06 tff(19135,plain,
% 1.82/2.06 (~trans(s99, s38)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4584, 19134, 16380])).
% 1.82/2.06 tff(19136,plain,
% 1.82/2.06 (~xuntil2p8(s37)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3860, 19134])).
% 1.82/2.06 tff(19137,assumption,(~m_main_v_state(s38, c_busy)), introduced(assumption)).
% 1.82/2.06 tff(19138,plain,
% 1.82/2.06 (until2p7(s37)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4701, 4693, 4303])).
% 1.82/2.06 tff(19139,assumption,(~xuntil2p8(s37)), introduced(assumption)).
% 1.82/2.06 tff(19140,plain,
% 1.82/2.06 (node4(s37) | (~until2p7(s37))),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3866, 3051, 19139])).
% 1.82/2.06 tff(19141,plain,
% 1.82/2.06 (node4(s37)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19140, 19138])).
% 1.82/2.06 tff(19142,plain,
% 1.82/2.06 (m_main_v_request(s37)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[8038, 3141, 19141])).
% 1.82/2.06 tff(19143,plain,
% 1.82/2.06 (~m_main_v_state(s37, c_ready)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[8034, 19142, 19137])).
% 1.82/2.06 tff(19144,plain,
% 1.82/2.06 (always3(s37)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6054, 4693])).
% 1.82/2.06 tff(19145,plain,
% 1.82/2.06 (~m_main_v_state(s37, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3886, 3154, 19144])).
% 1.82/2.06 tff(19146,plain,
% 1.82/2.06 ($false),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[8025, 19, 19145, 19143])).
% 1.82/2.06 tff(19147,plain,((~trans(s99, s37)) | m_main_v_state(s38, c_busy) | xuntil2p8(s37) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.06 tff(19148,plain,
% 1.82/2.06 (~trans(s99, s37)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19147, 19126, 19136, 16380])).
% 1.82/2.06 tff(19149,plain,
% 1.82/2.06 (always3(s16)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6374, 5399])).
% 1.82/2.06 tff(19150,plain,
% 1.82/2.06 (always3(s17)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[426, 19149])).
% 1.82/2.06 tff(19151,plain,
% 1.82/2.06 (always3(s18)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[414, 19150])).
% 1.82/2.06 tff(19152,plain,
% 1.82/2.06 (always3(s19)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[402, 19151])).
% 1.82/2.06 tff(19153,plain,
% 1.82/2.06 (~m_main_v_state(s19, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7336, 3154, 19152])).
% 1.82/2.06 tff(19154,plain,
% 1.82/2.06 (~m_main_v_state(s18, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7287, 3154, 19151])).
% 1.82/2.06 tff(19155,plain,
% 1.82/2.06 (m_main_v_state(s18, c_ready)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7357, 19, 19154])).
% 1.82/2.06 tff(19156,plain,
% 1.82/2.06 (~m_main_v_request(s18)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7352, 19155, 19153])).
% 1.82/2.06 tff(19157,plain,
% 1.82/2.06 (~node4(s18)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7343, 3141, 19156])).
% 1.82/2.06 tff(19158,plain,
% 1.82/2.06 (~m_main_v_state(s17, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4262, 3154, 19150])).
% 1.82/2.06 tff(19159,plain,
% 1.82/2.06 (m_main_v_state(s17, c_ready)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7291, 19, 19158])).
% 1.82/2.06 tff(19160,plain,
% 1.82/2.06 (~m_main_v_request(s17)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7300, 19159, 19154])).
% 1.82/2.06 tff(19161,plain,
% 1.82/2.06 (~node4(s17)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7304, 3141, 19160])).
% 1.82/2.06 tff(19162,plain,
% 1.82/2.06 (until2p7(s16)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[5407, 5399, 4303])).
% 1.82/2.06 tff(19163,plain,
% 1.82/2.06 (xuntil2p8(s16)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4288, 19162])).
% 1.82/2.06 tff(19164,plain,
% 1.82/2.06 (until2p7(s17)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4248, 19163])).
% 1.82/2.06 tff(19165,plain,
% 1.82/2.06 (node4(s17) | xuntil2p8(s17)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4242, 3051, 19164])).
% 1.82/2.06 tff(19166,plain,
% 1.82/2.06 (xuntil2p8(s17)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19165, 19161])).
% 1.82/2.06 tff(19167,plain,
% 1.82/2.06 (until2p7(s18)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4236, 19166])).
% 1.82/2.06 tff(19168,plain,
% 1.82/2.06 (xuntil2p8(s18)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4230, 3051, 19167, 19157])).
% 1.82/2.06 tff(19169,plain,
% 1.82/2.06 (until2p7(s19)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4224, 19168])).
% 1.82/2.06 tff(19170,plain,
% 1.82/2.06 (m_main_v_state(s19, c_ready)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[17901, 19153])).
% 1.82/2.06 tff(19171,plain,
% 1.82/2.06 (always3(s20)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[390, 19152])).
% 1.82/2.06 tff(19172,plain,
% 1.82/2.06 (~m_main_v_state(s20, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7432, 3154, 19171])).
% 1.82/2.06 tff(19173,plain,
% 1.82/2.06 (~m_main_v_request(s19)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7473, 19172, 19170])).
% 1.82/2.06 tff(19174,plain,
% 1.82/2.06 (~node4(s19)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7464, 3141, 19173])).
% 1.82/2.06 tff(19175,plain,
% 1.82/2.06 (xuntil2p8(s19) | (~until2p7(s19))),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4218, 3051, 19174])).
% 1.82/2.06 tff(19176,plain,
% 1.82/2.06 (xuntil2p8(s19)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19175, 19169])).
% 1.82/2.06 tff(19177,plain,
% 1.82/2.06 (until2p7(s20)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4212, 19176])).
% 1.82/2.06 tff(19178,plain,
% 1.82/2.06 (always3(s21)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[378, 19171])).
% 1.82/2.06 tff(19179,plain,
% 1.82/2.06 (~m_main_v_state(s21, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7440, 3154, 19178])).
% 1.82/2.06 tff(19180,plain,
% 1.82/2.06 (m_main_v_state(s20, c_ready)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7444, 19, 19172])).
% 1.82/2.06 tff(19181,plain,
% 1.82/2.06 (~m_main_v_request(s20)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7453, 19180, 19179])).
% 1.82/2.06 tff(19182,plain,
% 1.82/2.06 (~node4(s20)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7457, 3141, 19181])).
% 1.82/2.06 tff(19183,plain,
% 1.82/2.06 (xuntil2p8(s20) | (~until2p7(s20))),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4206, 3051, 19182])).
% 1.82/2.06 tff(19184,plain,
% 1.82/2.06 (xuntil2p8(s20)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19183, 19177])).
% 1.82/2.06 tff(19185,plain,
% 1.82/2.06 (until2p7(s21)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4200, 19184])).
% 1.82/2.06 tff(19186,plain,
% 1.82/2.06 (always3(s22)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[366, 19178])).
% 1.82/2.06 tff(19187,plain,
% 1.82/2.06 (~m_main_v_state(s22, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7404, 3154, 19186])).
% 1.82/2.06 tff(19188,plain,
% 1.82/2.06 (~node4(s21)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7507, 19187])).
% 1.82/2.06 tff(19189,plain,
% 1.82/2.06 (xuntil2p8(s21) | (~until2p7(s21))),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4194, 3051, 19188])).
% 1.82/2.06 tff(19190,plain,
% 1.82/2.06 (xuntil2p8(s21)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19189, 19185])).
% 1.82/2.06 tff(19191,plain,
% 1.82/2.06 (until2p7(s22)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4188, 19190])).
% 1.82/2.06 tff(19192,plain,
% 1.82/2.06 (always3(s23)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[354, 19186])).
% 1.82/2.06 tff(19193,plain,
% 1.82/2.06 (~m_main_v_state(s23, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4160, 3154, 19192])).
% 1.82/2.06 tff(19194,plain,
% 1.82/2.06 (m_main_v_state(s22, c_ready)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7408, 19, 19187])).
% 1.82/2.06 tff(19195,plain,
% 1.82/2.06 (~m_main_v_request(s22)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7379, 19194, 19193])).
% 1.82/2.06 tff(19196,plain,
% 1.82/2.06 (~node4(s22)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7370, 3141, 19195])).
% 1.82/2.06 tff(19197,plain,
% 1.82/2.06 (xuntil2p8(s22) | (~until2p7(s22))),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4182, 3051, 19196])).
% 1.82/2.06 tff(19198,plain,
% 1.82/2.06 (xuntil2p8(s22)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19197, 19191])).
% 1.82/2.06 tff(19199,plain,
% 1.82/2.06 (until2p7(s23)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4175, 19198])).
% 1.82/2.06 tff(19200,plain,
% 1.82/2.06 (xuntil2p8(s23)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4170, 19199])).
% 1.82/2.06 tff(19201,plain,
% 1.82/2.06 (until2p7(s24)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4130, 19200])).
% 1.82/2.06 tff(19202,plain,
% 1.82/2.06 (xuntil2p8(s24)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[17923, 19201])).
% 1.82/2.06 tff(19203,plain,
% 1.82/2.06 (until2p7(s25)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4118, 19202])).
% 1.82/2.06 tff(19204,plain,
% 1.82/2.06 (always3(s24)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[342, 19192])).
% 1.82/2.06 tff(19205,plain,
% 1.82/2.06 (always3(s25)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[330, 19204])).
% 1.82/2.06 tff(19206,plain,
% 1.82/2.06 (always3(s26)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[318, 19205])).
% 1.82/2.06 tff(19207,plain,
% 1.82/2.06 (~m_main_v_state(s26, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7627, 3154, 19206])).
% 1.82/2.06 tff(19208,plain,
% 1.82/2.06 (~m_main_v_state(s25, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7558, 3154, 19205])).
% 1.82/2.06 tff(19209,plain,
% 1.82/2.06 (~node1(s24)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[17941, 19208])).
% 1.82/2.06 tff(19210,plain,
% 1.82/2.06 (m_main_v_state(s25, c_ready)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[17949, 19208, 19209])).
% 1.82/2.06 tff(19211,plain,
% 1.82/2.06 (~m_main_v_request(s25)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7664, 19210, 19207])).
% 1.82/2.06 tff(19212,plain,
% 1.82/2.06 (~node4(s25)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7655, 3141, 19211])).
% 1.82/2.06 tff(19213,plain,
% 1.82/2.06 (xuntil2p8(s25) | (~until2p7(s25))),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4112, 3051, 19212])).
% 1.82/2.06 tff(19214,plain,
% 1.82/2.06 (xuntil2p8(s25)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19213, 19203])).
% 1.82/2.06 tff(19215,plain,
% 1.82/2.06 (until2p7(s26)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4106, 19214])).
% 1.82/2.06 tff(19216,plain,
% 1.82/2.06 (always3(s27)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[306, 19206])).
% 1.82/2.06 tff(19217,plain,
% 1.82/2.06 (~m_main_v_state(s27, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4078, 3154, 19216])).
% 1.82/2.06 tff(19218,plain,
% 1.82/2.06 (m_main_v_state(s26, c_ready)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7633, 19, 19207])).
% 1.82/2.06 tff(19219,plain,
% 1.82/2.06 (~m_main_v_request(s26)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7642, 19218, 19217])).
% 1.82/2.06 tff(19220,plain,
% 1.82/2.06 (~node4(s26)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7646, 3141, 19219])).
% 1.82/2.06 tff(19221,plain,
% 1.82/2.06 (xuntil2p8(s26) | (~until2p7(s26))),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4100, 3051, 19220])).
% 1.82/2.06 tff(19222,plain,
% 1.82/2.06 (xuntil2p8(s26)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19221, 19215])).
% 1.82/2.06 tff(19223,plain,
% 1.82/2.06 (always3(s28)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[294, 19216])).
% 1.82/2.06 tff(19224,plain,
% 1.82/2.06 (always3(s29)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[282, 19223])).
% 1.82/2.06 tff(19225,plain,
% 1.82/2.06 (always3(s30)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[270, 19224])).
% 1.82/2.06 tff(19226,plain,
% 1.82/2.06 (always3(s31)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[258, 19225])).
% 1.82/2.06 tff(19227,plain,
% 1.82/2.06 (always3(s32)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[246, 19226])).
% 1.82/2.06 tff(19228,plain,
% 1.82/2.06 (always3(s33)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[234, 19227])).
% 1.82/2.06 tff(19229,plain,
% 1.82/2.06 (always3(s34)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[222, 19228])).
% 1.82/2.06 tff(19230,plain,
% 1.82/2.06 (always3(s35)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[210, 19229])).
% 1.82/2.06 tff(19231,plain,
% 1.82/2.06 (always3(s36)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[198, 19230])).
% 1.82/2.06 tff(19232,plain,
% 1.82/2.06 (~m_main_v_state(s36, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3902, 3154, 19231])).
% 1.82/2.06 tff(19233,plain,
% 1.82/2.06 (~m_main_v_state(s35, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7905, 3154, 19230])).
% 1.82/2.06 tff(19234,plain,
% 1.82/2.06 (m_main_v_state(s35, c_ready)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7997, 19, 19233])).
% 1.82/2.06 tff(19235,plain,
% 1.82/2.06 (~m_main_v_request(s35)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7992, 19234, 19232])).
% 1.82/2.06 tff(19236,plain,
% 1.82/2.06 (~node4(s35)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7983, 3141, 19235])).
% 1.82/2.06 tff(19237,plain,
% 1.82/2.06 (always3(s37)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[186, 19231])).
% 1.82/2.06 tff(19238,plain,
% 1.82/2.06 (~m_main_v_state(s37, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3886, 3154, 19237])).
% 1.82/2.06 tff(19239,plain,
% 1.82/2.06 (m_main_v_state(s37, c_ready)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[8025, 19, 19238])).
% 1.82/2.06 tff(19240,plain,
% 1.82/2.06 (~m_main_v_request(s37)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[8034, 19239, 19137])).
% 1.82/2.06 tff(19241,plain,
% 1.82/2.06 (~node4(s37)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[8038, 3141, 19240])).
% 1.82/2.06 tff(19242,plain,
% 1.82/2.06 (~until2p7(s37)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19140, 19241])).
% 1.82/2.06 tff(19243,plain,
% 1.82/2.06 (~xuntil2p8(s36)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3872, 19242])).
% 1.82/2.06 tff(19244,plain,
% 1.82/2.06 (~until2p7(s36)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3912, 19243])).
% 1.82/2.06 tff(19245,plain,
% 1.82/2.06 (~xuntil2p8(s35)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3917, 19244])).
% 1.82/2.06 tff(19246,plain,
% 1.82/2.06 (~until2p7(s35)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3924, 3051, 19245, 19236])).
% 1.82/2.06 tff(19247,plain,
% 1.82/2.06 (~xuntil2p8(s34)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3930, 19246])).
% 1.82/2.06 tff(19248,plain,
% 1.82/2.06 (~m_main_v_state(s34, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7928, 3154, 19229])).
% 1.82/2.06 tff(19249,plain,
% 1.82/2.06 (m_main_v_state(s34, c_ready)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7932, 19, 19248])).
% 1.82/2.06 tff(19250,plain,
% 1.82/2.06 (~m_main_v_request(s34)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7921, 19249, 19233])).
% 1.82/2.06 tff(19251,plain,
% 1.82/2.06 (~node4(s34)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7912, 3141, 19250])).
% 1.82/2.06 tff(19252,plain,
% 1.82/2.06 (xuntil2p8(s34) | (~until2p7(s34))),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3936, 3051, 19251])).
% 1.82/2.06 tff(19253,plain,
% 1.82/2.06 (~until2p7(s34)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19252, 19247])).
% 1.82/2.06 tff(19254,plain,
% 1.82/2.06 (~xuntil2p8(s33)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3942, 19253])).
% 1.82/2.06 tff(19255,plain,
% 1.82/2.06 (~node4(s33)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7961, 19248])).
% 1.82/2.06 tff(19256,plain,
% 1.82/2.06 (xuntil2p8(s33) | (~until2p7(s33))),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3948, 3051, 19255])).
% 1.82/2.06 tff(19257,plain,
% 1.82/2.06 (~until2p7(s33)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19256, 19254])).
% 1.82/2.06 tff(19258,plain,
% 1.82/2.06 (~xuntil2p8(s32)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3954, 19257])).
% 1.82/2.06 tff(19259,plain,
% 1.82/2.06 (~until2p7(s32)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3994, 19258])).
% 1.82/2.06 tff(19260,plain,
% 1.82/2.06 (~xuntil2p8(s31)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3999, 19259])).
% 1.82/2.06 tff(19261,plain,
% 1.82/2.06 (~m_main_v_state(s32, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3984, 3154, 19227])).
% 1.82/2.06 tff(19262,plain,
% 1.82/2.06 (~m_main_v_state(s31, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7860, 3154, 19226])).
% 1.82/2.06 tff(19263,plain,
% 1.82/2.06 (~node1(s30)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[18018, 19262])).
% 1.82/2.06 tff(19264,plain,
% 1.82/2.06 (m_main_v_state(s31, c_ready)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[18026, 19263, 19262])).
% 1.82/2.06 tff(19265,plain,
% 1.82/2.06 (~m_main_v_request(s31)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7849, 19264, 19261])).
% 1.82/2.06 tff(19266,plain,
% 1.82/2.06 (~node4(s31)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7840, 3141, 19265])).
% 1.82/2.06 tff(19267,plain,
% 1.82/2.06 (xuntil2p8(s31) | (~until2p7(s31))),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4006, 3051, 19266])).
% 1.82/2.06 tff(19268,plain,
% 1.82/2.06 (~until2p7(s31)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19267, 19260])).
% 1.82/2.06 tff(19269,plain,
% 1.82/2.06 (~xuntil2p8(s30)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4012, 19268])).
% 1.82/2.06 tff(19270,plain,
% 1.82/2.06 (~node4(s30)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7889, 19262])).
% 1.82/2.06 tff(19271,plain,
% 1.82/2.06 (xuntil2p8(s30) | (~until2p7(s30))),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4018, 3051, 19270])).
% 1.82/2.06 tff(19272,plain,
% 1.82/2.06 (~until2p7(s30)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19271, 19269])).
% 1.82/2.06 tff(19273,plain,
% 1.82/2.06 (~xuntil2p8(s29)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4024, 19272])).
% 1.82/2.06 tff(19274,plain,
% 1.82/2.06 (~m_main_v_state(s30, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7697, 3154, 19225])).
% 1.82/2.06 tff(19275,plain,
% 1.82/2.06 (~m_main_v_state(s29, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7720, 3154, 19224])).
% 1.82/2.06 tff(19276,plain,
% 1.82/2.06 (m_main_v_state(s29, c_ready)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[17993, 19275])).
% 1.82/2.06 tff(19277,plain,
% 1.82/2.06 (~m_main_v_request(s29)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7713, 19276, 19274])).
% 1.82/2.06 tff(19278,plain,
% 1.82/2.06 (~node4(s29)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7704, 3141, 19277])).
% 1.82/2.06 tff(19279,plain,
% 1.82/2.06 (xuntil2p8(s29) | (~until2p7(s29))),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4030, 3051, 19278])).
% 1.82/2.06 tff(19280,plain,
% 1.82/2.06 (~until2p7(s29)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19279, 19273])).
% 1.82/2.06 tff(19281,plain,
% 1.82/2.06 (~xuntil2p8(s28)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4036, 19280])).
% 1.82/2.06 tff(19282,plain,
% 1.82/2.06 (~node4(s28)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[7755, 19275])).
% 1.82/2.06 tff(19283,plain,
% 1.82/2.06 (xuntil2p8(s28) | (~until2p7(s28))),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4042, 3051, 19282])).
% 1.82/2.06 tff(19284,plain,
% 1.82/2.06 (~until2p7(s28)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19283, 19281])).
% 1.82/2.06 tff(19285,plain,
% 1.82/2.06 (~xuntil2p8(s27)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4048, 19284])).
% 1.82/2.06 tff(19286,plain,
% 1.82/2.06 (~until2p7(s27)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4088, 19285])).
% 1.82/2.06 tff(19287,plain,
% 1.82/2.06 ($false),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4093, 19286, 19222])).
% 1.82/2.06 tff(19288,plain,((~trans(s99, s16)) | xuntil2p8(s37) | m_main_v_state(s38, c_busy) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.82/2.06 tff(19289,plain,
% 1.82/2.06 (~trans(s99, s16)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19288, 19136, 19126, 16380])).
% 1.82/2.06 tff(19290,plain,
% 1.82/2.06 (~always3(s35)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[198, 6176])).
% 1.82/2.06 tff(19291,plain,
% 1.82/2.06 (~always3(s34)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[210, 19290])).
% 1.82/2.06 tff(19292,plain,
% 1.82/2.06 (~always3(s33)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[222, 19291])).
% 1.82/2.06 tff(19293,plain,
% 1.82/2.06 (~always3(s32)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[234, 19292])).
% 1.82/2.06 tff(19294,plain,
% 1.82/2.06 (~always3(s31)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[246, 19293])).
% 1.82/2.06 tff(19295,plain,
% 1.82/2.06 (~always3(s30)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[258, 19294])).
% 1.82/2.06 tff(19296,plain,
% 1.82/2.06 (~always3(s29)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[270, 19295])).
% 1.82/2.06 tff(19297,plain,
% 1.82/2.06 (~always3(s28)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[282, 19296])).
% 1.82/2.06 tff(19298,plain,
% 1.82/2.06 (~always3(s27)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[294, 19297])).
% 1.82/2.06 tff(19299,plain,
% 1.82/2.06 (~always3(s26)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[306, 19298])).
% 1.82/2.06 tff(19300,plain,
% 1.82/2.06 (~always3(s25)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[318, 19299])).
% 1.82/2.06 tff(19301,plain,
% 1.82/2.06 (~always3(s24)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[330, 19300])).
% 1.82/2.06 tff(19302,plain,
% 1.82/2.06 (~always3(s23)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[342, 19301])).
% 1.82/2.06 tff(19303,plain,
% 1.82/2.06 (~always3(s22)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[354, 19302])).
% 1.82/2.06 tff(19304,plain,
% 1.82/2.06 (~always3(s21)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[366, 19303])).
% 1.82/2.06 tff(19305,plain,
% 1.82/2.06 (~always3(s20)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[378, 19304])).
% 1.82/2.06 tff(19306,plain,
% 1.82/2.06 (~always3(s19)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[390, 19305])).
% 1.82/2.06 tff(19307,plain,
% 1.82/2.06 (~always3(s18)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[402, 19306])).
% 1.82/2.06 tff(19308,plain,
% 1.82/2.06 (~always3(s17)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[414, 19307])).
% 1.82/2.06 tff(19309,plain,
% 1.82/2.06 (~always3(s16)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[426, 19308])).
% 1.82/2.06 tff(19310,plain,
% 1.82/2.06 (~always3(s15)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[438, 19309])).
% 1.82/2.06 tff(19311,plain,
% 1.82/2.06 (~always3(s14)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[1942, 19310])).
% 1.82/2.06 tff(19312,plain,
% 1.82/2.06 (~always3(s13)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[1954, 19311])).
% 1.82/2.06 tff(19313,plain,
% 1.82/2.06 (~always3(s12)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[1966, 19312])).
% 1.82/2.06 tff(19314,plain,
% 1.82/2.06 (~always3(s11)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[1978, 19313])).
% 1.82/2.06 tff(19315,plain,
% 1.82/2.06 (~always3(s10)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[1990, 19314])).
% 1.82/2.06 tff(19316,plain,
% 1.82/2.06 (~always3(s9)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[2002, 19315])).
% 1.82/2.06 tff(19317,plain,
% 1.82/2.06 (~always3(s8)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[2014, 19316])).
% 1.82/2.06 tff(19318,plain,
% 1.82/2.06 (~always3(s7)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[2026, 19317])).
% 1.82/2.06 tff(19319,plain,
% 1.82/2.06 (~always3(s6)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[2038, 19318])).
% 1.82/2.06 tff(19320,plain,
% 1.82/2.06 (~always3(s5)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[2050, 19319])).
% 1.82/2.06 tff(19321,plain,
% 1.82/2.06 (~always3(s4)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[2062, 19320])).
% 1.82/2.06 tff(19322,plain,
% 1.82/2.06 (~always3(s3)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[2074, 19321])).
% 1.82/2.06 tff(19323,plain,
% 1.82/2.06 (~always3(s2)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[2086, 19322])).
% 1.82/2.06 tff(19324,plain,
% 1.82/2.06 (~always3(s1)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[2098, 19323])).
% 1.82/2.06 tff(19325,plain,
% 1.82/2.06 (~always3(s0)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[2114, 19324])).
% 1.82/2.06 tff(19326,plain,
% 1.82/2.06 (~trans(s99, s12)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6218, 19313])).
% 1.82/2.06 tff(19327,plain,
% 1.82/2.06 (~trans(s99, s1)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6407, 19324])).
% 1.82/2.06 tff(19328,plain,
% 1.82/2.06 (~trans(s99, s7)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6396, 19318])).
% 1.82/2.06 tff(19329,plain,
% 1.82/2.06 (~trans(s99, s17)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6385, 19308])).
% 1.82/2.06 tff(19330,plain,
% 1.82/2.06 (~trans(s99, s3)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6319, 19322])).
% 1.82/2.06 tff(19331,plain,
% 1.82/2.06 (~trans(s99, s14)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6262, 19311])).
% 1.82/2.06 tff(19332,plain,
% 1.82/2.06 (~trans(s99, s4)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6043, 19321])).
% 1.82/2.06 tff(19333,plain,
% 1.82/2.06 (~trans(s99, s6)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6473, 19319])).
% 1.82/2.06 tff(19334,plain,
% 1.82/2.06 (~trans(s99, s23)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6330, 19302])).
% 1.82/2.06 tff(19335,plain,
% 1.82/2.06 (~trans(s99, s13)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6065, 19312])).
% 1.82/2.06 tff(19336,plain,
% 1.82/2.06 (~trans(s99, s25)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6098, 19300])).
% 1.82/2.06 tff(19337,plain,
% 1.82/2.06 (~trans(s99, s22)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6109, 19303])).
% 1.82/2.06 tff(19338,plain,
% 1.82/2.06 (~trans(s99, s28)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6120, 19297])).
% 1.82/2.06 tff(19339,plain,
% 1.82/2.06 (~trans(s99, s34)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6141, 19291])).
% 1.82/2.06 tff(19340,plain,
% 1.82/2.06 (~trans(s99, s11)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6152, 19314])).
% 1.82/2.06 tff(19341,plain,
% 1.82/2.06 (~trans(s99, s5)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6163, 19320])).
% 1.82/2.06 tff(19342,plain,
% 1.82/2.06 (~trans(s99, s20)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6174, 19305])).
% 1.82/2.06 tff(19343,plain,
% 1.82/2.06 (~trans(s99, s24)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6352, 19301])).
% 1.82/2.06 tff(19344,plain,
% 1.82/2.06 (~trans(s99, s32)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6363, 19293])).
% 1.82/2.06 tff(19345,plain,
% 1.82/2.06 (~trans(s99, s27)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6341, 19298])).
% 1.82/2.06 tff(19346,plain,
% 1.82/2.06 (~trans(s99, s18)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6229, 19307])).
% 1.82/2.06 tff(19347,plain,
% 1.82/2.06 (~trans(s99, s8)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6273, 19317])).
% 1.82/2.06 tff(19348,plain,
% 1.82/2.06 (~trans(s99, s33)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6462, 19292])).
% 1.82/2.06 tff(19349,plain,
% 1.82/2.06 (~trans(s99, s26)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6251, 19299])).
% 1.82/2.06 tff(19350,plain,
% 1.82/2.06 (~trans(s99, s10)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6207, 19315])).
% 1.82/2.06 tff(19351,plain,
% 1.82/2.06 (~trans(s99, s35)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6284, 19290])).
% 1.82/2.06 tff(19352,plain,
% 1.82/2.06 (~trans(s99, s30)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6295, 19295])).
% 1.82/2.06 tff(19353,plain,
% 1.82/2.06 (~trans(s99, s29)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6418, 19296])).
% 1.82/2.06 tff(19354,plain,
% 1.82/2.06 (~trans(s99, s21)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6440, 19304])).
% 1.82/2.06 tff(19355,plain,
% 1.82/2.06 (~trans(s99, s31)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6451, 19294])).
% 1.82/2.06 tff(19356,plain,
% 1.82/2.06 (~trans(s99, s36)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6185, 6176])).
% 1.82/2.06 tff(19357,plain,
% 1.82/2.06 (~trans(s99, s2)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6032, 19323])).
% 1.82/2.06 tff(19358,plain,
% 1.82/2.06 (trans(s99, s0)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[17126, 19357, 3009, 9503, 10897, 9511, 10899, 9506, 10888, 8428, 8272, 8260, 8429, 8351, 8229, 10885, 10898, 8227, 8423, 10883, 9520, 8277, 19356, 9508, 19355, 19354, 19353, 19352, 19351, 19350, 19349, 19348, 19347, 19346, 9517, 9499, 19345, 9513, 9502, 9501, 19344, 8301, 19343, 19342, 19341, 19340, 19339, 19338, 19337, 10892, 19336, 8280, 8279, 19335, 19334, 19333, 19332, 8274, 8273, 19331, 19330, 9507, 19329, 9516, 9515, 19328, 8228, 19327, 19326, 8422, 10886])).
% 1.82/2.06 tff(19359,plain,
% 1.82/2.06 ($false),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[6308, 19358, 19325])).
% 1.82/2.06 tff(19360,plain,(always3(s36) | node4(s99) | trans(s99, s50) | trans(s99, s49) | trans(s99, s66) | trans(s99, s64) | trans(s99, s65) | trans(s99, s61) | trans(s99, s9) | trans(s99, s19) | trans(s99, s41) | trans(s99, s46) | trans(s99, s45) | trans(s99, s39) | trans(s99, s54) | trans(s99, s63) | trans(s99, s15) | trans(s99, s16) | trans(s99, s58) | trans(s99, s52) | trans(s99, s37) | trans(s99, s68) | trans(s99, s59) | trans(s99, s69) | trans(s99, s55) | trans(s99, s56) | trans(s99, s62) | trans(s99, s43) | trans(s99, s53) | trans(s99, s47) | trans(s99, s42) | trans(s99, s38) | trans(s99, s44) | trans(s99, s51) | trans(s99, s60) | trans(s99, s57) | trans(s99, s48) | trans(s99, s40) | trans(s99, s67)), inference(lemma,lemma(discharge,[]))).
% 1.82/2.06 tff(19361,plain,
% 1.82/2.06 (always3(s36)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19360, 3009, 18684, 18683, 18682, 18681, 18680, 18679, 18395, 18138, 17885, 18678, 18677, 18676, 18642, 18641, 18957, 19289, 18640, 18639, 19148, 18638, 18637, 18636, 18635, 18634, 18633, 18777, 18632, 18497, 18776, 19135, 18631, 17829, 17828, 17827, 17826, 19050, 17754])).
% 1.82/2.06 tff(19362,plain,
% 1.82/2.06 (~m_main_v_state(s36, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3902, 3154, 19361])).
% 1.82/2.06 tff(19363,plain,
% 1.82/2.06 (always3(s37)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[186, 19361])).
% 1.82/2.06 tff(19364,plain,
% 1.82/2.06 (~m_main_v_state(s37, c_busy)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3886, 3154, 19363])).
% 1.82/2.06 tff(19365,plain,
% 1.82/2.06 (m_main_v_state(s37, c_ready)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[8025, 19, 19364])).
% 1.82/2.06 tff(19366,plain,
% 1.82/2.06 (~m_main_v_request(s37)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[8034, 19365, 19126])).
% 1.82/2.06 tff(19367,plain,
% 1.82/2.06 (~node4(s37)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[8038, 3141, 19366])).
% 1.82/2.06 tff(19368,plain,
% 1.82/2.06 (node4(s37) | (~until2p7(s37))),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3866, 3051, 19136])).
% 1.82/2.06 tff(19369,plain,
% 1.82/2.06 (~until2p7(s37)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[19368, 19367])).
% 1.82/2.06 tff(19370,plain,
% 1.82/2.06 (~xuntil2p8(s36)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3872, 19369])).
% 1.82/2.06 tff(19371,plain,
% 1.82/2.06 (~until2p7(s36)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3912, 19370])).
% 1.82/2.06 tff(19372,plain,
% 1.82/2.06 (~xuntil2p8(s35)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[3917, 19371])).
% 1.82/2.06 tff(19373,plain,
% 1.82/2.06 (~trans(s99, s36)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[4921, 19371, 16380])).
% 1.82/2.06 tff(19374,plain,
% 1.82/2.06 (~always3(s14)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[1942, 7514])).
% 1.82/2.06 tff(19375,plain,
% 1.82/2.06 (~always3(s13)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[1954, 19374])).
% 1.82/2.06 tff(19376,plain,
% 1.82/2.06 (~always3(s12)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[1966, 19375])).
% 1.82/2.06 tff(19377,plain,
% 1.82/2.06 (~always3(s11)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[1978, 19376])).
% 1.82/2.06 tff(19378,plain,
% 1.82/2.06 (~always3(s10)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[1990, 19377])).
% 1.82/2.06 tff(19379,plain,
% 1.82/2.06 (~always3(s9)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[2002, 19378])).
% 1.82/2.06 tff(19380,plain,
% 1.82/2.06 (~always3(s8)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[2014, 19379])).
% 1.82/2.06 tff(19381,plain,
% 1.82/2.06 (~always3(s7)),
% 1.82/2.06 inference(unit_resolution,[status(thm)],[2026, 19380])).
% 1.90/2.06 tff(19382,plain,
% 1.90/2.06 (~always3(s6)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[2038, 19381])).
% 1.90/2.06 tff(19383,plain,
% 1.90/2.06 (~always3(s5)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[2050, 19382])).
% 1.90/2.06 tff(19384,plain,
% 1.90/2.06 (~always3(s4)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[2062, 19383])).
% 1.90/2.06 tff(19385,plain,
% 1.90/2.06 (~always3(s3)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[2074, 19384])).
% 1.90/2.06 tff(19386,plain,
% 1.90/2.06 (~always3(s2)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[2086, 19385])).
% 1.90/2.06 tff(19387,plain,
% 1.90/2.06 (~always3(s1)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[2098, 19386])).
% 1.90/2.06 tff(19388,plain,
% 1.90/2.06 (~trans(s99, s1)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6407, 19387])).
% 1.90/2.06 tff(19389,plain,
% 1.90/2.06 (~trans(s99, s7)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6396, 19381])).
% 1.90/2.06 tff(19390,plain,
% 1.90/2.06 (~trans(s99, s3)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6319, 19385])).
% 1.90/2.06 tff(19391,plain,
% 1.90/2.06 (~trans(s99, s5)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6163, 19383])).
% 1.90/2.06 tff(19392,plain,
% 1.90/2.06 (~trans(s99, s4)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6043, 19384])).
% 1.90/2.06 tff(19393,plain,
% 1.90/2.06 (~trans(s99, s13)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6065, 19375])).
% 1.90/2.06 tff(19394,plain,
% 1.90/2.06 (~trans(s99, s22)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6109, 6100])).
% 1.90/2.06 tff(19395,plain,
% 1.90/2.06 (~trans(s99, s11)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6152, 19377])).
% 1.90/2.06 tff(19396,plain,
% 1.90/2.06 (~trans(s99, s17)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6385, 7512])).
% 1.90/2.06 tff(19397,plain,
% 1.90/2.06 (~trans(s99, s20)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6174, 7388])).
% 1.90/2.06 tff(19398,plain,
% 1.90/2.06 (~trans(s99, s10)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6207, 19378])).
% 1.90/2.06 tff(19399,plain,
% 1.90/2.06 (~trans(s99, s12)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6218, 19376])).
% 1.90/2.06 tff(19400,plain,
% 1.90/2.06 (~trans(s99, s18)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6229, 7511])).
% 1.90/2.06 tff(19401,plain,
% 1.90/2.06 (~trans(s99, s6)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6473, 19382])).
% 1.90/2.06 tff(19402,plain,
% 1.90/2.06 (~trans(s99, s8)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6273, 19380])).
% 1.90/2.06 tff(19403,plain,
% 1.90/2.06 (~trans(s99, s14)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6262, 19374])).
% 1.90/2.06 tff(19404,plain,
% 1.90/2.06 (~always3(s0)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[2114, 19387])).
% 1.90/2.06 tff(19405,plain,
% 1.90/2.06 (~trans(s99, s0)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6308, 19404])).
% 1.90/2.06 tff(19406,plain,
% 1.90/2.06 (~trans(s99, s2)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6032, 19386])).
% 1.90/2.06 tff(19407,plain,
% 1.90/2.06 (~trans(s99, s21)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6440, 7381])).
% 1.90/2.06 tff(19408,plain,
% 1.90/2.06 (~always3(s33)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[222, 7968])).
% 1.90/2.06 tff(19409,plain,
% 1.90/2.06 (~trans(s99, s33)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6462, 19408])).
% 1.90/2.06 tff(19410,plain,
% 1.90/2.06 (~always3(s32)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[234, 19408])).
% 1.90/2.06 tff(19411,plain,
% 1.90/2.06 (~always3(s31)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[246, 19410])).
% 1.90/2.06 tff(19412,plain,
% 1.90/2.06 (~always3(s30)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[258, 19411])).
% 1.90/2.06 tff(19413,plain,
% 1.90/2.06 (~always3(s29)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[270, 19412])).
% 1.90/2.06 tff(19414,plain,
% 1.90/2.06 (~always3(s28)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[282, 19413])).
% 1.90/2.06 tff(19415,plain,
% 1.90/2.06 (~always3(s27)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[294, 19414])).
% 1.90/2.06 tff(19416,plain,
% 1.90/2.06 (~always3(s26)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[306, 19415])).
% 1.90/2.06 tff(19417,plain,
% 1.90/2.06 (~trans(s99, s26)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6251, 19416])).
% 1.90/2.06 tff(19418,plain,
% 1.90/2.06 (~always3(s25)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[318, 19416])).
% 1.90/2.06 tff(19419,plain,
% 1.90/2.06 (~trans(s99, s25)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6098, 19418])).
% 1.90/2.06 tff(19420,plain,
% 1.90/2.06 (~trans(s99, s28)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6120, 19414])).
% 1.90/2.06 tff(19421,plain,
% 1.90/2.06 (~trans(s99, s34)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6141, 7968])).
% 1.90/2.06 tff(19422,plain,
% 1.90/2.06 (~trans(s99, s27)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6341, 19415])).
% 1.90/2.06 tff(19423,plain,
% 1.90/2.06 (~trans(s99, s29)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6418, 19413])).
% 1.90/2.06 tff(19424,plain,
% 1.90/2.06 (~trans(s99, s35)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6284, 6275])).
% 1.90/2.06 tff(19425,plain,
% 1.90/2.06 (~trans(s99, s30)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6295, 19412])).
% 1.90/2.06 tff(19426,plain,
% 1.90/2.06 (~trans(s99, s32)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6363, 19410])).
% 1.90/2.06 tff(19427,plain,
% 1.90/2.06 (~trans(s99, s31)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6451, 19411])).
% 1.90/2.06 tff(19428,plain,
% 1.90/2.06 (~always3(s24)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[330, 19418])).
% 1.90/2.06 tff(19429,plain,
% 1.90/2.06 (~trans(s99, s24)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6352, 19428])).
% 1.90/2.06 tff(19430,plain,
% 1.90/2.06 (~always3(s23)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[342, 19428])).
% 1.90/2.06 tff(19431,plain,
% 1.90/2.06 (~trans(s99, s23)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6330, 19430])).
% 1.90/2.06 tff(19432,plain,
% 1.90/2.06 ($false),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[17315, 19431, 19429, 16705, 3009, 8428, 8272, 8260, 8429, 8351, 8229, 8227, 8423, 8277, 8300, 8426, 8275, 8356, 19427, 19426, 8384, 19425, 19424, 8353, 19423, 8424, 8350, 8338, 8302, 8301, 19422, 8299, 8396, 8297, 19421, 19420, 8294, 19419, 8280, 8279, 8278, 19417, 8276, 8298, 8274, 8273, 8357, 8408, 8420, 8228, 8422, 16709, 19409])).
% 1.90/2.06 tff(19433,plain,(always3(s35) | node4(s65) | node4(s99) | trans(s99, s9) | trans(s99, s19) | trans(s99, s41) | trans(s99, s46) | trans(s99, s45) | trans(s99, s39) | trans(s99, s15) | trans(s99, s16) | trans(s99, s37) | trans(s99, s36) | trans(s99, s21) | trans(s99, s2) | trans(s99, s0) | trans(s99, s14) | trans(s99, s8) | trans(s99, s6) | trans(s99, s18) | trans(s99, s12) | trans(s99, s10) | trans(s99, s43) | trans(s99, s20) | trans(s99, s17) | trans(s99, s11) | trans(s99, s22) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s4) | trans(s99, s5) | trans(s99, s38) | trans(s99, s44) | trans(s99, s3) | trans(s99, s7) | trans(s99, s1) | trans(s99, s48) | trans(s99, s40) | node4(s64)), inference(lemma,lemma(discharge,[]))).
% 1.90/2.06 tff(19434,plain,
% 1.90/2.06 (always3(s35)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[19433, 19407, 3009, 8428, 8272, 8260, 8429, 8351, 8229, 8227, 8423, 8277, 8300, 16705, 19406, 19405, 19403, 19402, 19401, 19400, 19399, 19398, 8301, 19397, 19396, 19395, 19394, 8280, 8279, 19393, 19392, 19391, 8274, 8273, 19390, 19389, 19388, 8228, 8422, 16709])).
% 1.90/2.06 tff(19435,plain,
% 1.90/2.06 (~m_main_v_state(s35, c_busy)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[7905, 3154, 19434])).
% 1.90/2.06 tff(19436,assumption,(~m_main_v_state(s36, c_busy)), introduced(assumption)).
% 1.90/2.06 tff(19437,plain,
% 1.90/2.06 (m_main_v_state(s35, c_ready)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[7997, 19, 19435])).
% 1.90/2.06 tff(19438,plain,
% 1.90/2.06 (~m_main_v_request(s35)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[7992, 19437, 19436])).
% 1.90/2.06 tff(19439,plain,
% 1.90/2.06 (~node4(s35)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[7983, 3141, 19438])).
% 1.90/2.06 tff(19440,assumption,(~xuntil2p8(s35)), introduced(assumption)).
% 1.90/2.06 tff(19441,plain,
% 1.90/2.06 (node4(s35) | (~until2p7(s35))),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[3924, 3051, 19440])).
% 1.90/2.06 tff(19442,plain,
% 1.90/2.06 (~until2p7(s35)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[19441, 19439])).
% 1.90/2.06 tff(19443,plain,
% 1.90/2.06 (~xuntil2p8(s34)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[3930, 19442])).
% 1.90/2.06 tff(19444,plain,
% 1.90/2.06 (~trans(s99, s35)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[5141, 19442, 16380])).
% 1.90/2.06 tff(19445,plain,
% 1.90/2.06 (~always3(s28)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[282, 7825])).
% 1.90/2.06 tff(19446,plain,
% 1.90/2.06 (~always3(s27)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[294, 19445])).
% 1.90/2.06 tff(19447,plain,
% 1.90/2.06 (~always3(s26)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[306, 19446])).
% 1.90/2.06 tff(19448,plain,
% 1.90/2.06 (~trans(s99, s26)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6251, 19447])).
% 1.90/2.06 tff(19449,plain,
% 1.90/2.06 (~always3(s25)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[318, 19447])).
% 1.90/2.06 tff(19450,plain,
% 1.90/2.06 (~trans(s99, s25)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6098, 19449])).
% 1.90/2.06 tff(19451,plain,
% 1.90/2.06 (~trans(s99, s28)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6120, 19445])).
% 1.90/2.06 tff(19452,plain,
% 1.90/2.06 (~always3(s24)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[330, 19449])).
% 1.90/2.06 tff(19453,plain,
% 1.90/2.06 (~always3(s23)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[342, 19452])).
% 1.90/2.06 tff(19454,plain,
% 1.90/2.06 (~trans(s99, s23)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6330, 19453])).
% 1.90/2.06 tff(19455,plain,
% 1.90/2.06 (~trans(s99, s27)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6341, 19446])).
% 1.90/2.06 tff(19456,plain,
% 1.90/2.06 (~trans(s99, s29)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6418, 7825])).
% 1.90/2.06 tff(19457,plain,
% 1.90/2.06 (~trans(s99, s30)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6295, 7823])).
% 1.90/2.06 tff(19458,plain,
% 1.90/2.06 (~trans(s99, s24)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6352, 19452])).
% 1.90/2.06 tff(19459,plain,
% 1.90/2.06 (~trans(s99, s31)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6451, 6442])).
% 1.90/2.06 tff(19460,plain,
% 1.90/2.06 (~trans(s99, s33)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6462, 1624])).
% 1.90/2.06 tff(19461,plain,
% 1.90/2.06 (~trans(s99, s34)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6141, 1623])).
% 1.90/2.06 tff(19462,plain,
% 1.90/2.06 (trans(s99, s32)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[17315, 19461, 16705, 3009, 8428, 8272, 8260, 8429, 8351, 8229, 8227, 8423, 8277, 8300, 8426, 8275, 8356, 8427, 8360, 8384, 8355, 8354, 8353, 8421, 8424, 8350, 8338, 8302, 8301, 8359, 8299, 8396, 8297, 8358, 8295, 8294, 8281, 8280, 8279, 8278, 8352, 8276, 8298, 8274, 8273, 8357, 8408, 8420, 8228, 8422, 16709, 19460])).
% 1.90/2.06 tff(19463,plain,
% 1.90/2.06 ($false),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[6363, 19462, 1659])).
% 1.90/2.06 tff(19464,plain,(always3(s34) | node4(s65) | node4(s99) | trans(s99, s9) | trans(s99, s19) | trans(s99, s41) | trans(s99, s46) | trans(s99, s45) | trans(s99, s39) | trans(s99, s15) | trans(s99, s16) | trans(s99, s37) | trans(s99, s36) | trans(s99, s21) | trans(s99, s2) | trans(s99, s0) | trans(s99, s31) | trans(s99, s24) | trans(s99, s14) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s29) | trans(s99, s6) | trans(s99, s18) | trans(s99, s12) | trans(s99, s10) | trans(s99, s43) | trans(s99, s27) | trans(s99, s20) | trans(s99, s17) | trans(s99, s11) | trans(s99, s23) | trans(s99, s28) | trans(s99, s22) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s26) | trans(s99, s4) | trans(s99, s5) | trans(s99, s38) | trans(s99, s44) | trans(s99, s3) | trans(s99, s7) | trans(s99, s1) | trans(s99, s48) | trans(s99, s40) | node4(s64)), inference(lemma,lemma(discharge,[]))).
% 1.90/2.06 tff(19465,plain,
% 1.90/2.06 (always3(s34)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[19464, 19459, 3009, 8428, 8272, 8260, 8429, 8351, 8229, 8227, 8423, 8277, 8300, 8426, 8275, 8356, 16705, 19458, 8384, 19457, 8354, 8353, 19456, 8424, 8350, 8338, 8302, 8301, 19455, 8299, 8396, 8297, 19454, 19451, 8294, 19450, 8280, 8279, 8278, 19448, 8276, 8298, 8274, 8273, 8357, 8408, 8420, 8228, 8422, 16709])).
% 1.90/2.06 tff(19466,plain,
% 1.90/2.06 (~m_main_v_state(s34, c_busy)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[7928, 3154, 19465])).
% 1.90/2.06 tff(19467,plain,
% 1.90/2.06 (~node4(s33)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[7961, 19466])).
% 1.90/2.06 tff(19468,plain,
% 1.90/2.06 (always3(s35)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[19433, 8426, 3009, 8428, 8272, 8260, 8429, 8351, 8229, 8227, 8423, 8277, 8300, 16705, 8275, 8356, 8384, 8353, 8424, 8350, 8338, 8302, 8301, 8299, 8396, 8297, 8294, 8280, 8279, 8278, 8276, 8298, 8274, 8273, 8357, 8408, 8420, 8228, 8422, 16709])).
% 1.90/2.06 tff(19469,plain,
% 1.90/2.06 (~m_main_v_state(s35, c_busy)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[7905, 3154, 19468])).
% 1.90/2.06 tff(19470,plain,
% 1.90/2.06 (m_main_v_state(s34, c_ready)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[7932, 19, 19466])).
% 1.90/2.06 tff(19471,plain,
% 1.90/2.06 (~m_main_v_request(s34)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[7921, 19470, 19469])).
% 1.90/2.06 tff(19472,plain,
% 1.90/2.06 (~node4(s34)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[7912, 3141, 19471])).
% 1.90/2.06 tff(19473,assumption,(~xuntil2p8(s34)), introduced(assumption)).
% 1.90/2.06 tff(19474,plain,
% 1.90/2.06 (node4(s34) | (~until2p7(s34))),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[3936, 3051, 19473])).
% 1.90/2.06 tff(19475,plain,
% 1.90/2.06 (~until2p7(s34)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[19474, 19472])).
% 1.90/2.06 tff(19476,plain,
% 1.90/2.06 (~xuntil2p8(s33)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[3942, 19475])).
% 1.90/2.06 tff(19477,plain,
% 1.90/2.06 (~until2p7(s33)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[3948, 3051, 19476, 19467])).
% 1.90/2.06 tff(19478,plain,
% 1.90/2.06 (~xuntil2p8(s32)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[3954, 19477])).
% 1.90/2.06 tff(19479,plain,
% 1.90/2.06 (~until2p7(s32)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[3994, 19478])).
% 1.90/2.06 tff(19480,plain,
% 1.90/2.06 (~trans(s99, s34)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[4833, 19475, 16380])).
% 1.90/2.06 tff(19481,plain,
% 1.90/2.06 (~trans(s99, s33)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[5539, 19477, 16380])).
% 1.90/2.06 tff(19482,plain,
% 1.90/2.06 (trans(s99, s32)),
% 1.90/2.06 inference(unit_resolution,[status(thm)],[17186, 19481, 3009, 9503, 8428, 8272, 8260, 10897, 8429, 8351, 8229, 8227, 8423, 8277, 16820, 8300, 16794, 8426, 8275, 10883, 9520, 8356, 19458, 19459, 19454, 8384, 19457, 8354, 8353, 9517, 19456, 8424, 8350, 9513, 8338, 9507, 9502, 9501, 8302, 8301, 19455, 8299, 8396, 8297, 19480, 19451, 8294, 10892, 19450, 8280, 8279, 8278, 19448, 8276, 8298, 8274, 8273, 8357, 9516, 8408, 16714, 9515, 8420, 8228, 8422, 10899, 9506])).
% 1.90/2.07 tff(19483,plain,
% 1.90/2.07 ($false),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[5286, 19482, 19479, 16380])).
% 1.90/2.07 tff(19484,plain,(always3(s31) | node4(s99) | trans(s99, s50) | trans(s99, s9) | trans(s99, s19) | trans(s99, s41) | trans(s99, s49) | trans(s99, s46) | trans(s99, s45) | trans(s99, s39) | trans(s99, s15) | trans(s99, s16) | trans(s99, s37) | trans(s99, s36) | trans(s99, s21) | trans(s99, s2) | trans(s99, s58) | trans(s99, s52) | trans(s99, s0) | trans(s99, s14) | trans(s99, s35) | trans(s99, s8) | trans(s99, s59) | trans(s99, s6) | trans(s99, s18) | trans(s99, s55) | trans(s99, s12) | trans(s99, s51) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s20) | trans(s99, s17) | trans(s99, s11) | trans(s99, s22) | trans(s99, s53) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s4) | trans(s99, s5) | trans(s99, s38) | trans(s99, s44) | trans(s99, s3) | trans(s99, s60) | trans(s99, s7) | xuntil2p8(s63) | trans(s99, s57) | trans(s99, s1) | trans(s99, s48) | trans(s99, s40) | trans(s99, s64) | trans(s99, s65) | xuntil2p8(s34) | node4(s65) | node4(s64)), inference(lemma,lemma(discharge,[]))).
% 1.90/2.07 tff(19485,plain,
% 1.90/2.07 (always3(s31)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19484, 19407, 9503, 8428, 8272, 8260, 10897, 8429, 8351, 8229, 8227, 8423, 8277, 8300, 3009, 19406, 10883, 9520, 19405, 19403, 19444, 19402, 9517, 19401, 19400, 9513, 19399, 9507, 9502, 9501, 19398, 8301, 19397, 19396, 19395, 19394, 10892, 8280, 8279, 19393, 19392, 19391, 8274, 8273, 19390, 9516, 19389, 16714, 9515, 19388, 8228, 8422, 10899, 9506, 19443, 16705, 16709])).
% 1.90/2.07 tff(19486,plain,
% 1.90/2.07 (always3(s32)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[246, 19485])).
% 1.90/2.07 tff(19487,plain,
% 1.90/2.07 (always3(s33)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[234, 19486])).
% 1.90/2.07 tff(19488,plain,
% 1.90/2.07 (always3(s34)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[222, 19487])).
% 1.90/2.07 tff(19489,plain,
% 1.90/2.07 (~m_main_v_state(s34, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7928, 3154, 19488])).
% 1.90/2.07 tff(19490,plain,
% 1.90/2.07 (m_main_v_state(s34, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7932, 19, 19489])).
% 1.90/2.07 tff(19491,plain,
% 1.90/2.07 (~m_main_v_request(s34)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7921, 19490, 19435])).
% 1.90/2.07 tff(19492,plain,
% 1.90/2.07 (~node4(s34)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7912, 3141, 19491])).
% 1.90/2.07 tff(19493,plain,
% 1.90/2.07 (node4(s34) | (~until2p7(s34))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[3936, 3051, 19443])).
% 1.90/2.07 tff(19494,plain,
% 1.90/2.07 (~until2p7(s34)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19493, 19492])).
% 1.90/2.07 tff(19495,plain,
% 1.90/2.07 (~trans(s99, s34)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4833, 19494, 16380])).
% 1.90/2.07 tff(19496,plain,
% 1.90/2.07 (~m_main_v_state(s31, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7860, 3154, 19485])).
% 1.90/2.07 tff(19497,plain,
% 1.90/2.07 (~node4(s30)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7889, 19496])).
% 1.90/2.07 tff(19498,plain,
% 1.90/2.07 (~node4(s33)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7961, 19489])).
% 1.90/2.07 tff(19499,plain,
% 1.90/2.07 (~xuntil2p8(s33)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[3942, 19494])).
% 1.90/2.07 tff(19500,plain,
% 1.90/2.07 (~until2p7(s33)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[3948, 3051, 19499, 19498])).
% 1.90/2.07 tff(19501,plain,
% 1.90/2.07 (~xuntil2p8(s32)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[3954, 19500])).
% 1.90/2.07 tff(19502,plain,
% 1.90/2.07 (~until2p7(s32)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[3994, 19501])).
% 1.90/2.07 tff(19503,plain,
% 1.90/2.07 (~xuntil2p8(s31)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[3999, 19502])).
% 1.90/2.07 tff(19504,plain,
% 1.90/2.07 (~m_main_v_state(s32, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[3984, 3154, 19486])).
% 1.90/2.07 tff(19505,plain,
% 1.90/2.07 (~node1(s30)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[18018, 19496])).
% 1.90/2.07 tff(19506,plain,
% 1.90/2.07 (m_main_v_state(s31, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[18026, 19505, 19496])).
% 1.90/2.07 tff(19507,plain,
% 1.90/2.07 (~m_main_v_request(s31)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7849, 19506, 19504])).
% 1.90/2.07 tff(19508,plain,
% 1.90/2.07 (~node4(s31)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7840, 3141, 19507])).
% 1.90/2.07 tff(19509,plain,
% 1.90/2.07 (xuntil2p8(s31) | (~until2p7(s31))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4006, 3051, 19508])).
% 1.90/2.07 tff(19510,plain,
% 1.90/2.07 (~until2p7(s31)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19509, 19503])).
% 1.90/2.07 tff(19511,plain,
% 1.90/2.07 (~xuntil2p8(s30)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4012, 19510])).
% 1.90/2.07 tff(19512,plain,
% 1.90/2.07 (~until2p7(s30)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4018, 3051, 19511, 19497])).
% 1.90/2.07 tff(19513,plain,
% 1.90/2.07 (~xuntil2p8(s29)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4024, 19512])).
% 1.90/2.07 tff(19514,plain,
% 1.90/2.07 (always3(s29)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6418, 5377])).
% 1.90/2.07 tff(19515,plain,
% 1.90/2.07 (always3(s30)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[270, 19514])).
% 1.90/2.07 tff(19516,plain,
% 1.90/2.07 (~m_main_v_state(s30, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7697, 3154, 19515])).
% 1.90/2.07 tff(19517,plain,
% 1.90/2.07 (until2p7(s29)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[5385, 5377, 4303])).
% 1.90/2.07 tff(19518,assumption,(~xuntil2p8(s29)), introduced(assumption)).
% 1.90/2.07 tff(19519,plain,
% 1.90/2.07 (node4(s29) | (~until2p7(s29))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4030, 3051, 19518])).
% 1.90/2.07 tff(19520,plain,
% 1.90/2.07 (node4(s29)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19519, 19517])).
% 1.90/2.07 tff(19521,plain,
% 1.90/2.07 (m_main_v_request(s29)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7704, 3141, 19520])).
% 1.90/2.07 tff(19522,plain,
% 1.90/2.07 (~m_main_v_state(s29, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7720, 3154, 19514])).
% 1.90/2.07 tff(19523,plain,
% 1.90/2.07 (m_main_v_state(s29, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17993, 19522])).
% 1.90/2.07 tff(19524,plain,
% 1.90/2.07 ($false),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7713, 19523, 19521, 19516])).
% 1.90/2.07 tff(19525,plain,((~trans(s99, s29)) | xuntil2p8(s29) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.90/2.07 tff(19526,plain,
% 1.90/2.07 (~trans(s99, s29)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19525, 19513, 16380])).
% 1.90/2.07 tff(19527,plain,
% 1.90/2.07 (~trans(s99, s30)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[5152, 19512, 16380])).
% 1.90/2.07 tff(19528,plain,
% 1.90/2.07 (~trans(s99, s31)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[5473, 19510, 16380])).
% 1.90/2.07 tff(19529,plain,
% 1.90/2.07 (~trans(s99, s32)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[5286, 19502, 16380])).
% 1.90/2.07 tff(19530,plain,
% 1.90/2.07 (~trans(s99, s33)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[5539, 19500, 16380])).
% 1.90/2.07 tff(19531,plain,
% 1.90/2.07 (~always3(s27)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[294, 6111])).
% 1.90/2.07 tff(19532,plain,
% 1.90/2.07 (~always3(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[306, 19531])).
% 1.90/2.07 tff(19533,plain,
% 1.90/2.07 (~trans(s99, s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6251, 19532])).
% 1.90/2.07 tff(19534,plain,
% 1.90/2.07 (~always3(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[318, 19532])).
% 1.90/2.07 tff(19535,plain,
% 1.90/2.07 (~trans(s99, s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6098, 19534])).
% 1.90/2.07 tff(19536,plain,
% 1.90/2.07 (~trans(s99, s28)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6120, 6111])).
% 1.90/2.07 tff(19537,plain,
% 1.90/2.07 (~trans(s99, s27)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6341, 19531])).
% 1.90/2.07 tff(19538,plain,
% 1.90/2.07 (~always3(s24)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[330, 19534])).
% 1.90/2.07 tff(19539,plain,
% 1.90/2.07 (~trans(s99, s24)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6352, 19538])).
% 1.90/2.07 tff(19540,plain,
% 1.90/2.07 (~always3(s23)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[342, 19538])).
% 1.90/2.07 tff(19541,plain,
% 1.90/2.07 (~trans(s99, s23)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6330, 19540])).
% 1.90/2.07 tff(19542,plain,
% 1.90/2.07 ($false),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17186, 19541, 19539, 3009, 9503, 8428, 8272, 8260, 10897, 8429, 8351, 8229, 8227, 8423, 8277, 16820, 8300, 16794, 8426, 8275, 10883, 9520, 8356, 8425, 8383, 8427, 8384, 8355, 8354, 8353, 9517, 8421, 8424, 8350, 9513, 8338, 9507, 9502, 9501, 8302, 8301, 19537, 8299, 8396, 8297, 8296, 19536, 8294, 10892, 19535, 8280, 8279, 8278, 19533, 8276, 8298, 8274, 8273, 8357, 9516, 8408, 16714, 9515, 8420, 8228, 8422, 10899, 9506])).
% 1.90/2.07 tff(19543,plain,(always3(s28) | node4(s99) | trans(s99, s50) | trans(s99, s9) | trans(s99, s19) | trans(s99, s41) | trans(s99, s49) | trans(s99, s46) | trans(s99, s45) | trans(s99, s39) | trans(s99, s15) | trans(s99, s16) | trans(s99, s37) | trans(s99, s36) | trans(s99, s21) | trans(s99, s2) | trans(s99, s58) | trans(s99, s52) | trans(s99, s0) | trans(s99, s33) | trans(s99, s32) | trans(s99, s31) | trans(s99, s14) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s59) | trans(s99, s29) | trans(s99, s6) | trans(s99, s18) | trans(s99, s55) | trans(s99, s12) | trans(s99, s51) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s20) | trans(s99, s17) | trans(s99, s11) | trans(s99, s34) | trans(s99, s22) | trans(s99, s53) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s4) | trans(s99, s5) | trans(s99, s38) | trans(s99, s44) | trans(s99, s3) | trans(s99, s60) | trans(s99, s7) | xuntil2p8(s63) | trans(s99, s57) | trans(s99, s1) | trans(s99, s48) | trans(s99, s40) | trans(s99, s64) | trans(s99, s65)), inference(lemma,lemma(discharge,[]))).
% 1.90/2.07 tff(19544,plain,
% 1.90/2.07 (always3(s28)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19543, 19407, 9503, 8428, 8272, 8260, 10897, 8429, 8351, 8229, 8227, 8423, 8277, 8300, 3009, 19406, 10883, 9520, 19405, 19530, 19529, 19528, 19403, 19527, 19444, 19402, 9517, 19526, 19401, 19400, 9513, 19399, 9507, 9502, 9501, 19398, 8301, 19397, 19396, 19395, 19495, 19394, 10892, 8280, 8279, 19393, 19392, 19391, 8274, 8273, 19390, 9516, 19389, 16714, 9515, 19388, 8228, 8422, 10899, 9506])).
% 1.90/2.07 tff(19545,plain,
% 1.90/2.07 (always3(s29)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[282, 19544])).
% 1.90/2.07 tff(19546,plain,
% 1.90/2.07 (~m_main_v_state(s29, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7720, 3154, 19545])).
% 1.90/2.07 tff(19547,plain,
% 1.90/2.07 (~node4(s28)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7755, 19546])).
% 1.90/2.07 tff(19548,plain,
% 1.90/2.07 (always3(s30)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[270, 19545])).
% 1.90/2.07 tff(19549,plain,
% 1.90/2.07 (~m_main_v_state(s30, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7697, 3154, 19548])).
% 1.90/2.07 tff(19550,plain,
% 1.90/2.07 (m_main_v_state(s29, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17993, 19546])).
% 1.90/2.07 tff(19551,plain,
% 1.90/2.07 (~m_main_v_request(s29)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7713, 19550, 19549])).
% 1.90/2.07 tff(19552,plain,
% 1.90/2.07 (~node4(s29)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7704, 3141, 19551])).
% 1.90/2.07 tff(19553,plain,
% 1.90/2.07 (node4(s29) | (~until2p7(s29))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4030, 3051, 19513])).
% 1.90/2.07 tff(19554,plain,
% 1.90/2.07 (~until2p7(s29)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19553, 19552])).
% 1.90/2.07 tff(19555,plain,
% 1.90/2.07 (~xuntil2p8(s28)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4036, 19554])).
% 1.90/2.07 tff(19556,plain,
% 1.90/2.07 (~until2p7(s28)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4042, 3051, 19555, 19547])).
% 1.90/2.07 tff(19557,plain,
% 1.90/2.07 (~xuntil2p8(s27)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4048, 19556])).
% 1.90/2.07 tff(19558,plain,
% 1.90/2.07 (~until2p7(s27)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4088, 19557])).
% 1.90/2.07 tff(19559,plain,
% 1.90/2.07 (~xuntil2p8(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4093, 19558])).
% 1.90/2.07 tff(19560,plain,
% 1.90/2.07 (always3(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6251, 5078])).
% 1.90/2.07 tff(19561,plain,
% 1.90/2.07 (always3(s27)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[306, 19560])).
% 1.90/2.07 tff(19562,plain,
% 1.90/2.07 (~m_main_v_state(s27, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4078, 3154, 19561])).
% 1.90/2.07 tff(19563,plain,
% 1.90/2.07 (until2p7(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[5086, 5078, 4303])).
% 1.90/2.07 tff(19564,assumption,(~xuntil2p8(s26)), introduced(assumption)).
% 1.90/2.07 tff(19565,plain,
% 1.90/2.07 (node4(s26) | (~until2p7(s26))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4100, 3051, 19564])).
% 1.90/2.07 tff(19566,plain,
% 1.90/2.07 (node4(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19565, 19563])).
% 1.90/2.07 tff(19567,plain,
% 1.90/2.07 (m_main_v_request(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7646, 3141, 19566])).
% 1.90/2.07 tff(19568,plain,
% 1.90/2.07 (~m_main_v_state(s26, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7642, 19567, 19562])).
% 1.90/2.07 tff(19569,plain,
% 1.90/2.07 (~m_main_v_state(s26, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7627, 3154, 19560])).
% 1.90/2.07 tff(19570,plain,
% 1.90/2.07 ($false),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7633, 19, 19569, 19568])).
% 1.90/2.07 tff(19571,plain,((~trans(s99, s26)) | xuntil2p8(s26) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.90/2.07 tff(19572,plain,
% 1.90/2.07 (~trans(s99, s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19571, 19559, 16380])).
% 1.90/2.07 tff(19573,plain,
% 1.90/2.07 (always3(s24)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6352, 5245])).
% 1.90/2.07 tff(19574,plain,
% 1.90/2.07 (always3(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[330, 19573])).
% 1.90/2.07 tff(19575,plain,
% 1.90/2.07 (always3(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[318, 19574])).
% 1.90/2.07 tff(19576,plain,
% 1.90/2.07 (~m_main_v_state(s26, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7627, 3154, 19575])).
% 1.90/2.07 tff(19577,plain,
% 1.90/2.07 (~m_main_v_state(s25, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7558, 3154, 19574])).
% 1.90/2.07 tff(19578,plain,
% 1.90/2.07 (~node1(s24)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17941, 19577])).
% 1.90/2.07 tff(19579,plain,
% 1.90/2.07 (m_main_v_state(s25, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17949, 19577, 19578])).
% 1.90/2.07 tff(19580,plain,
% 1.90/2.07 (~m_main_v_request(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7664, 19579, 19576])).
% 1.90/2.07 tff(19581,plain,
% 1.90/2.07 (~node4(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7655, 3141, 19580])).
% 1.90/2.07 tff(19582,plain,
% 1.90/2.07 (until2p7(s24)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[5253, 5245, 4303])).
% 1.90/2.07 tff(19583,plain,
% 1.90/2.07 (xuntil2p8(s24)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17923, 19582])).
% 1.90/2.07 tff(19584,plain,
% 1.90/2.07 (until2p7(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4118, 19583])).
% 1.90/2.07 tff(19585,plain,
% 1.90/2.07 (node4(s25) | xuntil2p8(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4112, 3051, 19584])).
% 1.90/2.07 tff(19586,plain,
% 1.90/2.07 (xuntil2p8(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19585, 19581])).
% 1.90/2.07 tff(19587,plain,
% 1.90/2.07 (until2p7(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4106, 19586])).
% 1.90/2.07 tff(19588,plain,
% 1.90/2.07 (node4(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19565, 19587])).
% 1.90/2.07 tff(19589,plain,
% 1.90/2.07 (always3(s27)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[306, 19575])).
% 1.90/2.07 tff(19590,plain,
% 1.90/2.07 (~m_main_v_state(s27, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4078, 3154, 19589])).
% 1.90/2.07 tff(19591,plain,
% 1.90/2.07 (m_main_v_state(s26, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7633, 19, 19576])).
% 1.90/2.07 tff(19592,plain,
% 1.90/2.07 (~m_main_v_request(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7642, 19591, 19590])).
% 1.90/2.07 tff(19593,plain,
% 1.90/2.07 ($false),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7646, 3141, 19592, 19588])).
% 1.90/2.07 tff(19594,plain,((~trans(s99, s24)) | xuntil2p8(s26) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.90/2.07 tff(19595,plain,
% 1.90/2.07 (~trans(s99, s24)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19594, 19559, 16380])).
% 1.90/2.07 tff(19596,plain,
% 1.90/2.07 (~trans(s99, s28)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4811, 19556, 16380])).
% 1.90/2.07 tff(19597,plain,
% 1.90/2.07 (~trans(s99, s27)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[5242, 19558, 16380])).
% 1.90/2.07 tff(19598,plain,
% 1.90/2.07 (~always3(s24)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[330, 6089])).
% 1.90/2.07 tff(19599,plain,
% 1.90/2.07 (~always3(s23)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[342, 19598])).
% 1.90/2.07 tff(19600,plain,
% 1.90/2.07 (~trans(s99, s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6098, 6089])).
% 1.90/2.07 tff(19601,plain,
% 1.90/2.07 (trans(s99, s23)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17186, 19600, 3009, 9503, 8428, 8272, 8260, 10897, 8429, 8351, 8229, 8227, 8423, 8277, 16820, 8300, 16794, 8426, 8275, 10883, 9520, 8356, 8425, 8383, 8427, 8384, 8355, 8354, 8353, 9517, 8421, 8424, 8350, 9513, 8338, 9507, 9502, 9501, 8302, 8301, 8359, 8299, 8396, 8297, 8296, 8295, 8294, 10892, 8360, 8280, 8279, 8278, 8352, 8276, 8298, 8274, 8273, 8357, 9516, 8408, 16714, 9515, 8420, 8228, 8422, 10899, 9506])).
% 1.90/2.07 tff(19602,plain,
% 1.90/2.07 ($false),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6330, 19601, 19599])).
% 1.90/2.07 tff(19603,plain,(always3(s25) | node4(s99) | trans(s99, s50) | trans(s99, s9) | trans(s99, s19) | trans(s99, s41) | trans(s99, s49) | trans(s99, s46) | trans(s99, s45) | trans(s99, s39) | trans(s99, s15) | trans(s99, s16) | trans(s99, s37) | trans(s99, s36) | trans(s99, s21) | trans(s99, s2) | trans(s99, s58) | trans(s99, s52) | trans(s99, s0) | trans(s99, s33) | trans(s99, s32) | trans(s99, s31) | trans(s99, s14) | trans(s99, s30) | trans(s99, s35) | trans(s99, s8) | trans(s99, s59) | trans(s99, s29) | trans(s99, s6) | trans(s99, s18) | trans(s99, s55) | trans(s99, s12) | trans(s99, s51) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s27) | trans(s99, s20) | trans(s99, s17) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s24) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s26) | trans(s99, s4) | trans(s99, s5) | trans(s99, s38) | trans(s99, s44) | trans(s99, s3) | trans(s99, s60) | trans(s99, s7) | xuntil2p8(s63) | trans(s99, s57) | trans(s99, s1) | trans(s99, s48) | trans(s99, s40) | trans(s99, s64) | trans(s99, s65)), inference(lemma,lemma(discharge,[]))).
% 1.90/2.07 tff(19604,plain,
% 1.90/2.07 (always3(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19603, 19407, 9503, 8428, 8272, 8260, 10897, 8429, 8351, 8229, 8227, 8423, 8277, 8300, 3009, 19406, 10883, 9520, 19405, 19530, 19529, 19528, 19403, 19527, 19444, 19402, 9517, 19526, 19401, 19400, 9513, 19399, 9507, 9502, 9501, 19398, 8301, 19597, 19397, 19396, 19395, 19495, 19596, 19394, 10892, 19595, 8280, 8279, 19393, 19572, 19392, 19391, 8274, 8273, 19390, 9516, 19389, 16714, 9515, 19388, 8228, 8422, 10899, 9506])).
% 1.90/2.07 tff(19605,plain,
% 1.90/2.07 (always3(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[318, 19604])).
% 1.90/2.07 tff(19606,plain,
% 1.90/2.07 (always3(s27)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[306, 19605])).
% 1.90/2.07 tff(19607,plain,
% 1.90/2.07 (~m_main_v_state(s27, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4078, 3154, 19606])).
% 1.90/2.07 tff(19608,plain,
% 1.90/2.07 (~m_main_v_state(s26, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7627, 3154, 19605])).
% 1.90/2.07 tff(19609,plain,
% 1.90/2.07 (m_main_v_state(s26, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7633, 19, 19608])).
% 1.90/2.07 tff(19610,plain,
% 1.90/2.07 (~m_main_v_request(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7642, 19609, 19607])).
% 1.90/2.07 tff(19611,plain,
% 1.90/2.07 (~node4(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7646, 3141, 19610])).
% 1.90/2.07 tff(19612,plain,
% 1.90/2.07 (node4(s26) | (~until2p7(s26))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4100, 3051, 19559])).
% 1.90/2.07 tff(19613,plain,
% 1.90/2.07 (~until2p7(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19612, 19611])).
% 1.90/2.07 tff(19614,plain,
% 1.90/2.07 (~xuntil2p8(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4106, 19613])).
% 1.90/2.07 tff(19615,plain,
% 1.90/2.07 (~m_main_v_state(s25, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7558, 3154, 19604])).
% 1.90/2.07 tff(19616,plain,
% 1.90/2.07 (~node1(s24)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17941, 19615])).
% 1.90/2.07 tff(19617,plain,
% 1.90/2.07 (m_main_v_state(s25, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17949, 19615, 19616])).
% 1.90/2.07 tff(19618,plain,
% 1.90/2.07 (~m_main_v_request(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7664, 19617, 19608])).
% 1.90/2.07 tff(19619,plain,
% 1.90/2.07 (~node4(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7655, 3141, 19618])).
% 1.90/2.07 tff(19620,plain,
% 1.90/2.07 (xuntil2p8(s25) | (~until2p7(s25))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4112, 3051, 19619])).
% 1.90/2.07 tff(19621,plain,
% 1.90/2.07 (~until2p7(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19620, 19614])).
% 1.90/2.07 tff(19622,plain,
% 1.90/2.07 (~xuntil2p8(s24)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4118, 19621])).
% 1.90/2.07 tff(19623,plain,
% 1.90/2.07 (~until2p7(s24)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17923, 19622])).
% 1.90/2.07 tff(19624,plain,
% 1.90/2.07 (~xuntil2p8(s23)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4130, 19623])).
% 1.90/2.07 tff(19625,plain,
% 1.90/2.07 (~trans(s99, s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4767, 19621, 16380])).
% 1.90/2.07 tff(19626,plain,
% 1.90/2.07 (trans(s99, s23)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17186, 19625, 3009, 9503, 8428, 8272, 8260, 10897, 8429, 8351, 8229, 8227, 8423, 8277, 16820, 8300, 16794, 19407, 19406, 10883, 9520, 19405, 19530, 19529, 19528, 19403, 19527, 19444, 19402, 9517, 19526, 19401, 19400, 9513, 19399, 9507, 9502, 9501, 19398, 8301, 19597, 19397, 19396, 19395, 19495, 19596, 19394, 10892, 19595, 8280, 8279, 19393, 19572, 19392, 19391, 8274, 8273, 19390, 9516, 19389, 16714, 9515, 19388, 8228, 8422, 10899, 9506])).
% 1.90/2.07 tff(19627,plain,
% 1.90/2.07 (until2p7(s23)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[5209, 19626, 16380])).
% 1.90/2.07 tff(19628,plain,
% 1.90/2.07 ($false),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4170, 19627, 19624])).
% 1.90/2.07 tff(19629,plain,(always3(s22) | node4(s99) | trans(s99, s50) | trans(s99, s9) | trans(s99, s19) | trans(s99, s41) | trans(s99, s49) | trans(s99, s46) | trans(s99, s45) | trans(s99, s39) | trans(s99, s15) | trans(s99, s16) | trans(s99, s37) | trans(s99, s36) | trans(s99, s58) | trans(s99, s52) | trans(s99, s59) | trans(s99, s55) | trans(s99, s51) | trans(s99, s56) | trans(s99, s62) | trans(s99, s43) | trans(s99, s53) | trans(s99, s47) | trans(s99, s42) | trans(s99, s38) | trans(s99, s44) | trans(s99, s60) | xuntil2p8(s63) | trans(s99, s57) | trans(s99, s48) | trans(s99, s40) | trans(s99, s64) | trans(s99, s65) | node4(s65) | node4(s64) | xuntil2p8(s35) | m_main_v_state(s36, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.90/2.07 tff(19630,plain,
% 1.90/2.07 (always3(s22)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19629, 3009, 18684, 18395, 18138, 17885, 18683, 18678, 18677, 18676, 18957, 19289, 19148, 19373, 18640, 18639, 18637, 18635, 17829, 18634, 18633, 18777, 18632, 18497, 18776, 19135, 18631, 17828, 17762, 17827, 17826, 19050, 18681, 18680, 16705, 16709, 19372, 19362])).
% 1.90/2.07 tff(19631,plain,
% 1.90/2.07 (always3(s23)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[354, 19630])).
% 1.90/2.07 tff(19632,plain,
% 1.90/2.07 (always3(s24)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[342, 19631])).
% 1.90/2.07 tff(19633,plain,
% 1.90/2.07 (always3(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[330, 19632])).
% 1.90/2.07 tff(19634,plain,
% 1.90/2.07 (always3(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[318, 19633])).
% 1.90/2.07 tff(19635,plain,
% 1.90/2.07 (always3(s27)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[306, 19634])).
% 1.90/2.07 tff(19636,plain,
% 1.90/2.07 (always3(s28)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[294, 19635])).
% 1.90/2.07 tff(19637,plain,
% 1.90/2.07 (always3(s29)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[282, 19636])).
% 1.90/2.07 tff(19638,plain,
% 1.90/2.07 (always3(s30)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[270, 19637])).
% 1.90/2.07 tff(19639,plain,
% 1.90/2.07 (always3(s31)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[258, 19638])).
% 1.90/2.07 tff(19640,plain,
% 1.90/2.07 (always3(s32)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[246, 19639])).
% 1.90/2.07 tff(19641,plain,
% 1.90/2.07 (always3(s33)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[234, 19640])).
% 1.90/2.07 tff(19642,plain,
% 1.90/2.07 (always3(s34)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[222, 19641])).
% 1.90/2.07 tff(19643,plain,
% 1.90/2.07 (always3(s35)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[210, 19642])).
% 1.90/2.07 tff(19644,plain,
% 1.90/2.07 (~m_main_v_state(s35, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7905, 3154, 19643])).
% 1.90/2.07 tff(19645,plain,
% 1.90/2.07 (~m_main_v_state(s34, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7928, 3154, 19642])).
% 1.90/2.07 tff(19646,plain,
% 1.90/2.07 (m_main_v_state(s34, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7932, 19, 19645])).
% 1.90/2.07 tff(19647,plain,
% 1.90/2.07 (~m_main_v_request(s34)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7921, 19646, 19644])).
% 1.90/2.07 tff(19648,plain,
% 1.90/2.07 (~node4(s34)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7912, 3141, 19647])).
% 1.90/2.07 tff(19649,plain,
% 1.90/2.07 (m_main_v_state(s35, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7997, 19, 19644])).
% 1.90/2.07 tff(19650,plain,
% 1.90/2.07 (~m_main_v_request(s35)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7992, 19649, 19362])).
% 1.90/2.07 tff(19651,plain,
% 1.90/2.07 (~node4(s35)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7983, 3141, 19650])).
% 1.90/2.07 tff(19652,plain,
% 1.90/2.07 (node4(s35) | (~until2p7(s35))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[3924, 3051, 19372])).
% 1.90/2.07 tff(19653,plain,
% 1.90/2.07 (~until2p7(s35)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19652, 19651])).
% 1.90/2.07 tff(19654,plain,
% 1.90/2.07 (~xuntil2p8(s34)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[3930, 19653])).
% 1.90/2.07 tff(19655,plain,
% 1.90/2.07 (~until2p7(s34)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[3936, 3051, 19654, 19648])).
% 1.90/2.07 tff(19656,plain,
% 1.90/2.07 (~xuntil2p8(s33)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[3942, 19655])).
% 1.90/2.07 tff(19657,plain,
% 1.90/2.07 (~node4(s33)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7961, 19645])).
% 1.90/2.07 tff(19658,plain,
% 1.90/2.07 (xuntil2p8(s33) | (~until2p7(s33))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[3948, 3051, 19657])).
% 1.90/2.07 tff(19659,plain,
% 1.90/2.07 (~until2p7(s33)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19658, 19656])).
% 1.90/2.07 tff(19660,plain,
% 1.90/2.07 (~xuntil2p8(s32)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[3954, 19659])).
% 1.90/2.07 tff(19661,plain,
% 1.90/2.07 (~until2p7(s32)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[3994, 19660])).
% 1.90/2.07 tff(19662,plain,
% 1.90/2.07 (~xuntil2p8(s31)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[3999, 19661])).
% 1.90/2.07 tff(19663,plain,
% 1.90/2.07 (~m_main_v_state(s32, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[3984, 3154, 19640])).
% 1.90/2.07 tff(19664,plain,
% 1.90/2.07 (~m_main_v_state(s31, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7860, 3154, 19639])).
% 1.90/2.07 tff(19665,plain,
% 1.90/2.07 (~node1(s30)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[18018, 19664])).
% 1.90/2.07 tff(19666,plain,
% 1.90/2.07 (m_main_v_state(s31, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[18026, 19665, 19664])).
% 1.90/2.07 tff(19667,plain,
% 1.90/2.07 (~m_main_v_request(s31)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7849, 19666, 19663])).
% 1.90/2.07 tff(19668,plain,
% 1.90/2.07 (~node4(s31)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7840, 3141, 19667])).
% 1.90/2.07 tff(19669,plain,
% 1.90/2.07 (xuntil2p8(s31) | (~until2p7(s31))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4006, 3051, 19668])).
% 1.90/2.07 tff(19670,plain,
% 1.90/2.07 (~until2p7(s31)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19669, 19662])).
% 1.90/2.07 tff(19671,plain,
% 1.90/2.07 (~xuntil2p8(s30)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4012, 19670])).
% 1.90/2.07 tff(19672,plain,
% 1.90/2.07 (~node4(s30)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7889, 19664])).
% 1.90/2.07 tff(19673,plain,
% 1.90/2.07 (xuntil2p8(s30) | (~until2p7(s30))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4018, 3051, 19672])).
% 1.90/2.07 tff(19674,plain,
% 1.90/2.07 (~until2p7(s30)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19673, 19671])).
% 1.90/2.07 tff(19675,plain,
% 1.90/2.07 (~xuntil2p8(s29)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4024, 19674])).
% 1.90/2.07 tff(19676,plain,
% 1.90/2.07 (~m_main_v_state(s30, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7697, 3154, 19638])).
% 1.90/2.07 tff(19677,plain,
% 1.90/2.07 (~m_main_v_state(s29, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7720, 3154, 19637])).
% 1.90/2.07 tff(19678,plain,
% 1.90/2.07 (m_main_v_state(s29, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17993, 19677])).
% 1.90/2.07 tff(19679,plain,
% 1.90/2.07 (~m_main_v_request(s29)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7713, 19678, 19676])).
% 1.90/2.07 tff(19680,plain,
% 1.90/2.07 (~node4(s29)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7704, 3141, 19679])).
% 1.90/2.07 tff(19681,plain,
% 1.90/2.07 (xuntil2p8(s29) | (~until2p7(s29))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4030, 3051, 19680])).
% 1.90/2.07 tff(19682,plain,
% 1.90/2.07 (~until2p7(s29)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19681, 19675])).
% 1.90/2.07 tff(19683,plain,
% 1.90/2.07 (~xuntil2p8(s28)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4036, 19682])).
% 1.90/2.07 tff(19684,plain,
% 1.90/2.07 (~node4(s28)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7755, 19677])).
% 1.90/2.07 tff(19685,plain,
% 1.90/2.07 (xuntil2p8(s28) | (~until2p7(s28))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4042, 3051, 19684])).
% 1.90/2.07 tff(19686,plain,
% 1.90/2.07 (~until2p7(s28)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19685, 19683])).
% 1.90/2.07 tff(19687,plain,
% 1.90/2.07 (~xuntil2p8(s27)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4048, 19686])).
% 1.90/2.07 tff(19688,plain,
% 1.90/2.07 (~until2p7(s27)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4088, 19687])).
% 1.90/2.07 tff(19689,plain,
% 1.90/2.07 (~xuntil2p8(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4093, 19688])).
% 1.90/2.07 tff(19690,plain,
% 1.90/2.07 (~trans(s99, s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19571, 19689, 16380])).
% 1.90/2.07 tff(19691,plain,
% 1.90/2.07 (~trans(s99, s24)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19594, 19689, 16380])).
% 1.90/2.07 tff(19692,plain,
% 1.90/2.07 (~m_main_v_state(s27, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4078, 3154, 19635])).
% 1.90/2.07 tff(19693,plain,
% 1.90/2.07 (~m_main_v_state(s26, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7627, 3154, 19634])).
% 1.90/2.07 tff(19694,plain,
% 1.90/2.07 (m_main_v_state(s26, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7633, 19, 19693])).
% 1.90/2.07 tff(19695,plain,
% 1.90/2.07 (~m_main_v_request(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7642, 19694, 19692])).
% 1.90/2.07 tff(19696,plain,
% 1.90/2.07 (~node4(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7646, 3141, 19695])).
% 1.90/2.07 tff(19697,plain,
% 1.90/2.07 (xuntil2p8(s26) | (~until2p7(s26))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4100, 3051, 19696])).
% 1.90/2.07 tff(19698,plain,
% 1.90/2.07 (~until2p7(s26)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19697, 19689])).
% 1.90/2.07 tff(19699,plain,
% 1.90/2.07 (~xuntil2p8(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4106, 19698])).
% 1.90/2.07 tff(19700,plain,
% 1.90/2.07 (~m_main_v_state(s25, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7558, 3154, 19633])).
% 1.90/2.07 tff(19701,plain,
% 1.90/2.07 (~node1(s24)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17941, 19700])).
% 1.90/2.07 tff(19702,plain,
% 1.90/2.07 (m_main_v_state(s25, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17949, 19700, 19701])).
% 1.90/2.07 tff(19703,plain,
% 1.90/2.07 (~m_main_v_request(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7664, 19702, 19693])).
% 1.90/2.07 tff(19704,plain,
% 1.90/2.07 (~node4(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7655, 3141, 19703])).
% 1.90/2.07 tff(19705,plain,
% 1.90/2.07 (xuntil2p8(s25) | (~until2p7(s25))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4112, 3051, 19704])).
% 1.90/2.07 tff(19706,plain,
% 1.90/2.07 (~until2p7(s25)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19705, 19699])).
% 1.90/2.07 tff(19707,plain,
% 1.90/2.07 (~xuntil2p8(s24)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4118, 19706])).
% 1.90/2.07 tff(19708,plain,
% 1.90/2.07 (~until2p7(s24)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17923, 19707])).
% 1.90/2.07 tff(19709,plain,
% 1.90/2.07 (~xuntil2p8(s23)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4130, 19708])).
% 1.90/2.07 tff(19710,plain,
% 1.90/2.07 (~until2p7(s23)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4170, 19709])).
% 1.90/2.07 tff(19711,plain,
% 1.90/2.07 (~xuntil2p8(s22)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4175, 19710])).
% 1.90/2.07 tff(19712,plain,
% 1.90/2.07 (~m_main_v_state(s23, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4160, 3154, 19631])).
% 1.90/2.07 tff(19713,plain,
% 1.90/2.07 (~m_main_v_state(s22, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7404, 3154, 19630])).
% 1.90/2.07 tff(19714,plain,
% 1.90/2.07 (m_main_v_state(s22, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7408, 19, 19713])).
% 1.90/2.07 tff(19715,plain,
% 1.90/2.07 (~m_main_v_request(s22)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7379, 19714, 19712])).
% 1.90/2.07 tff(19716,plain,
% 1.90/2.07 (~node4(s22)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7370, 3141, 19715])).
% 1.90/2.07 tff(19717,plain,
% 1.90/2.07 (xuntil2p8(s22) | (~until2p7(s22))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4182, 3051, 19716])).
% 1.90/2.07 tff(19718,plain,
% 1.90/2.07 (~until2p7(s22)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19717, 19711])).
% 1.90/2.07 tff(19719,plain,
% 1.90/2.07 (~trans(s99, s22)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4800, 19718, 16380])).
% 1.90/2.07 tff(19720,plain,
% 1.90/2.07 (~trans(s99, s28)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4811, 19686, 16380])).
% 1.90/2.07 tff(19721,plain,
% 1.90/2.07 (~trans(s99, s34)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4833, 19655, 16380])).
% 1.90/2.07 tff(19722,plain,
% 1.90/2.07 (~trans(s99, s27)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[5242, 19688, 16380])).
% 1.90/2.07 tff(19723,plain,
% 1.90/2.07 (~node4(s21)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7507, 19713])).
% 1.90/2.07 tff(19724,plain,
% 1.90/2.07 (~xuntil2p8(s21)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4188, 19718])).
% 1.90/2.07 tff(19725,plain,
% 1.90/2.07 (~until2p7(s21)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4194, 3051, 19724, 19723])).
% 1.90/2.07 tff(19726,plain,
% 1.90/2.07 (~xuntil2p8(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4200, 19725])).
% 1.90/2.07 tff(19727,plain,
% 1.90/2.07 (always3(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6174, 4869])).
% 1.90/2.07 tff(19728,plain,
% 1.90/2.07 (always3(s21)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[378, 19727])).
% 1.90/2.07 tff(19729,plain,
% 1.90/2.07 (~m_main_v_state(s21, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7440, 3154, 19728])).
% 1.90/2.07 tff(19730,plain,
% 1.90/2.07 (until2p7(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4877, 4869, 4303])).
% 1.90/2.07 tff(19731,assumption,(~xuntil2p8(s20)), introduced(assumption)).
% 1.90/2.07 tff(19732,plain,
% 1.90/2.07 (node4(s20) | (~until2p7(s20))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4206, 3051, 19731])).
% 1.90/2.07 tff(19733,plain,
% 1.90/2.07 (node4(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19732, 19730])).
% 1.90/2.07 tff(19734,plain,
% 1.90/2.07 (m_main_v_request(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7457, 3141, 19733])).
% 1.90/2.07 tff(19735,plain,
% 1.90/2.07 (~m_main_v_state(s20, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7453, 19734, 19729])).
% 1.90/2.07 tff(19736,plain,
% 1.90/2.07 (~m_main_v_state(s20, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7432, 3154, 19727])).
% 1.90/2.07 tff(19737,plain,
% 1.90/2.07 ($false),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7444, 19, 19736, 19735])).
% 1.90/2.07 tff(19738,plain,((~trans(s99, s20)) | xuntil2p8(s20) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.90/2.07 tff(19739,plain,
% 1.90/2.07 (~trans(s99, s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19738, 19726, 16380])).
% 1.90/2.07 tff(19740,plain,
% 1.90/2.07 (always3(s14)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6262, 5289])).
% 1.90/2.07 tff(19741,plain,
% 1.90/2.07 (always3(s15)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[1942, 19740])).
% 1.90/2.07 tff(19742,plain,
% 1.90/2.07 (always3(s16)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[438, 19741])).
% 1.90/2.07 tff(19743,plain,
% 1.90/2.07 (always3(s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[426, 19742])).
% 1.90/2.07 tff(19744,plain,
% 1.90/2.07 (always3(s18)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[414, 19743])).
% 1.90/2.07 tff(19745,plain,
% 1.90/2.07 (~m_main_v_state(s18, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7287, 3154, 19744])).
% 1.90/2.07 tff(19746,plain,
% 1.90/2.07 (~m_main_v_state(s17, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4262, 3154, 19743])).
% 1.90/2.07 tff(19747,plain,
% 1.90/2.07 (m_main_v_state(s17, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7291, 19, 19746])).
% 1.90/2.07 tff(19748,plain,
% 1.90/2.07 (~m_main_v_request(s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7300, 19747, 19745])).
% 1.90/2.07 tff(19749,plain,
% 1.90/2.07 (~node4(s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7304, 3141, 19748])).
% 1.90/2.07 tff(19750,plain,
% 1.90/2.07 (~m_main_v_state(s16, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4278, 3154, 19742])).
% 1.90/2.07 tff(19751,plain,
% 1.90/2.07 (~m_main_v_state(s15, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7218, 3154, 19741])).
% 1.90/2.07 tff(19752,plain,
% 1.90/2.07 (m_main_v_state(s15, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7222, 19, 19751])).
% 1.90/2.07 tff(19753,plain,
% 1.90/2.07 (~m_main_v_request(s15)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7263, 19752, 19750])).
% 1.90/2.07 tff(19754,plain,
% 1.90/2.07 (~node4(s15)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7254, 3141, 19753])).
% 1.90/2.07 tff(19755,plain,
% 1.90/2.07 (~node4(s14)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7245, 19751])).
% 1.90/2.07 tff(19756,plain,
% 1.90/2.07 (until2p7(s14)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[5297, 5289, 4303])).
% 1.90/2.07 tff(19757,plain,
% 1.90/2.07 (node4(s14) | xuntil2p8(s14)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4456, 3051, 19756])).
% 1.90/2.07 tff(19758,plain,
% 1.90/2.07 (xuntil2p8(s14)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19757, 19755])).
% 1.90/2.07 tff(19759,plain,
% 1.90/2.07 (until2p7(s15)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4450, 19758])).
% 1.90/2.07 tff(19760,plain,
% 1.90/2.07 (node4(s15) | xuntil2p8(s15)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4300, 3051, 19759])).
% 1.90/2.07 tff(19761,plain,
% 1.90/2.07 (xuntil2p8(s15)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19760, 19754])).
% 1.90/2.07 tff(19762,plain,
% 1.90/2.07 (until2p7(s16)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4293, 19761])).
% 1.90/2.07 tff(19763,plain,
% 1.90/2.07 (xuntil2p8(s16)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4288, 19762])).
% 1.90/2.07 tff(19764,plain,
% 1.90/2.07 (until2p7(s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4248, 19763])).
% 1.90/2.07 tff(19765,plain,
% 1.90/2.07 (xuntil2p8(s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4242, 3051, 19764, 19749])).
% 1.90/2.07 tff(19766,plain,
% 1.90/2.07 (always3(s19)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[402, 19744])).
% 1.90/2.07 tff(19767,plain,
% 1.90/2.07 (~m_main_v_state(s19, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7336, 3154, 19766])).
% 1.90/2.07 tff(19768,plain,
% 1.90/2.07 (m_main_v_state(s18, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7357, 19, 19745])).
% 1.90/2.07 tff(19769,plain,
% 1.90/2.07 (~m_main_v_request(s18)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7352, 19768, 19767])).
% 1.90/2.07 tff(19770,plain,
% 1.90/2.07 (~node4(s18)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7343, 3141, 19769])).
% 1.90/2.07 tff(19771,plain,
% 1.90/2.07 (always3(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[390, 19766])).
% 1.90/2.07 tff(19772,plain,
% 1.90/2.07 (always3(s21)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[378, 19771])).
% 1.90/2.07 tff(19773,plain,
% 1.90/2.07 (~m_main_v_state(s21, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7440, 3154, 19772])).
% 1.90/2.07 tff(19774,plain,
% 1.90/2.07 (~m_main_v_state(s20, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7432, 3154, 19771])).
% 1.90/2.07 tff(19775,plain,
% 1.90/2.07 (m_main_v_state(s20, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7444, 19, 19774])).
% 1.90/2.07 tff(19776,plain,
% 1.90/2.07 (~m_main_v_request(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7453, 19775, 19773])).
% 1.90/2.07 tff(19777,plain,
% 1.90/2.07 (~node4(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7457, 3141, 19776])).
% 1.90/2.07 tff(19778,plain,
% 1.90/2.07 (~until2p7(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19732, 19777])).
% 1.90/2.07 tff(19779,plain,
% 1.90/2.07 (~xuntil2p8(s19)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4212, 19778])).
% 1.90/2.07 tff(19780,plain,
% 1.90/2.07 (m_main_v_state(s19, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17901, 19767])).
% 1.90/2.07 tff(19781,plain,
% 1.90/2.07 (~m_main_v_request(s19)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7473, 19774, 19780])).
% 1.90/2.07 tff(19782,plain,
% 1.90/2.07 (~node4(s19)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7464, 3141, 19781])).
% 1.90/2.07 tff(19783,plain,
% 1.90/2.07 (xuntil2p8(s19) | (~until2p7(s19))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4218, 3051, 19782])).
% 1.90/2.07 tff(19784,plain,
% 1.90/2.07 (~until2p7(s19)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19783, 19779])).
% 1.90/2.07 tff(19785,plain,
% 1.90/2.07 (~xuntil2p8(s18)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4224, 19784])).
% 1.90/2.07 tff(19786,plain,
% 1.90/2.07 (~until2p7(s18)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4230, 3051, 19785, 19770])).
% 1.90/2.07 tff(19787,plain,
% 1.90/2.07 ($false),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4236, 19786, 19765])).
% 1.90/2.07 tff(19788,plain,((~trans(s99, s14)) | xuntil2p8(s20) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.90/2.07 tff(19789,plain,
% 1.90/2.07 (~trans(s99, s14)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19788, 19726, 16380])).
% 1.90/2.07 tff(19790,plain,
% 1.90/2.07 (always3(s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6385, 5311])).
% 1.90/2.07 tff(19791,plain,
% 1.90/2.07 (always3(s18)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[414, 19790])).
% 1.90/2.07 tff(19792,plain,
% 1.90/2.07 (always3(s19)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[402, 19791])).
% 1.90/2.07 tff(19793,plain,
% 1.90/2.07 (~m_main_v_state(s19, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7336, 3154, 19792])).
% 1.90/2.07 tff(19794,plain,
% 1.90/2.07 (~m_main_v_state(s18, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7287, 3154, 19791])).
% 1.90/2.07 tff(19795,plain,
% 1.90/2.07 (m_main_v_state(s18, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7357, 19, 19794])).
% 1.90/2.07 tff(19796,plain,
% 1.90/2.07 (~m_main_v_request(s18)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7352, 19795, 19793])).
% 1.90/2.07 tff(19797,plain,
% 1.90/2.07 (~node4(s18)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7343, 3141, 19796])).
% 1.90/2.07 tff(19798,plain,
% 1.90/2.07 (always3(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[390, 19792])).
% 1.90/2.07 tff(19799,plain,
% 1.90/2.07 (always3(s21)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[378, 19798])).
% 1.90/2.07 tff(19800,plain,
% 1.90/2.07 (~m_main_v_state(s21, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7440, 3154, 19799])).
% 1.90/2.07 tff(19801,plain,
% 1.90/2.07 (~m_main_v_state(s20, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7432, 3154, 19798])).
% 1.90/2.07 tff(19802,plain,
% 1.90/2.07 (m_main_v_state(s20, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7444, 19, 19801])).
% 1.90/2.07 tff(19803,plain,
% 1.90/2.07 (~m_main_v_request(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7453, 19802, 19800])).
% 1.90/2.07 tff(19804,plain,
% 1.90/2.07 (~node4(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7457, 3141, 19803])).
% 1.90/2.07 tff(19805,plain,
% 1.90/2.07 (~until2p7(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19732, 19804])).
% 1.90/2.07 tff(19806,plain,
% 1.90/2.07 (~xuntil2p8(s19)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4212, 19805])).
% 1.90/2.07 tff(19807,plain,
% 1.90/2.07 (m_main_v_state(s19, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17901, 19793])).
% 1.90/2.07 tff(19808,plain,
% 1.90/2.07 (~m_main_v_request(s19)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7473, 19801, 19807])).
% 1.90/2.07 tff(19809,plain,
% 1.90/2.07 (~node4(s19)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7464, 3141, 19808])).
% 1.90/2.07 tff(19810,plain,
% 1.90/2.07 (xuntil2p8(s19) | (~until2p7(s19))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4218, 3051, 19809])).
% 1.90/2.07 tff(19811,plain,
% 1.90/2.07 (~until2p7(s19)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19810, 19806])).
% 1.90/2.07 tff(19812,plain,
% 1.90/2.07 (~xuntil2p8(s18)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4224, 19811])).
% 1.90/2.07 tff(19813,plain,
% 1.90/2.07 (~m_main_v_state(s17, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4262, 3154, 19790])).
% 1.90/2.07 tff(19814,plain,
% 1.90/2.07 (m_main_v_state(s17, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7291, 19, 19813])).
% 1.90/2.07 tff(19815,plain,
% 1.90/2.07 (~m_main_v_request(s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7300, 19814, 19794])).
% 1.90/2.07 tff(19816,plain,
% 1.90/2.07 (~node4(s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7304, 3141, 19815])).
% 1.90/2.07 tff(19817,plain,
% 1.90/2.07 (until2p7(s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[5319, 5311, 4303])).
% 1.90/2.07 tff(19818,plain,
% 1.90/2.07 (node4(s17) | xuntil2p8(s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4242, 3051, 19817])).
% 1.90/2.07 tff(19819,plain,
% 1.90/2.07 (xuntil2p8(s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19818, 19816])).
% 1.90/2.07 tff(19820,plain,
% 1.90/2.07 (until2p7(s18)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4236, 19819])).
% 1.90/2.07 tff(19821,plain,
% 1.90/2.07 ($false),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4230, 3051, 19820, 19812, 19797])).
% 1.90/2.07 tff(19822,plain,((~trans(s99, s17)) | xuntil2p8(s20) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.90/2.07 tff(19823,plain,
% 1.90/2.07 (~trans(s99, s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19822, 19726, 16380])).
% 1.90/2.07 tff(19824,plain,
% 1.90/2.07 (~trans(s99, s29)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19525, 19675, 16380])).
% 1.90/2.07 tff(19825,plain,
% 1.90/2.07 (always3(s7)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6396, 5333])).
% 1.90/2.07 tff(19826,plain,
% 1.90/2.07 (always3(s8)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[2026, 19825])).
% 1.90/2.07 tff(19827,plain,
% 1.90/2.07 (always3(s9)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[2014, 19826])).
% 1.90/2.07 tff(19828,plain,
% 1.90/2.07 (always3(s10)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[2002, 19827])).
% 1.90/2.07 tff(19829,plain,
% 1.90/2.07 (~m_main_v_state(s10, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6960, 3154, 19828])).
% 1.90/2.07 tff(19830,plain,
% 1.90/2.07 (~node4(s9)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6987, 19829])).
% 1.90/2.07 tff(19831,plain,
% 1.90/2.07 (~m_main_v_state(s9, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6539, 3154, 19827])).
% 1.90/2.07 tff(19832,plain,
% 1.90/2.07 (~m_main_v_state(s8, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6562, 3154, 19826])).
% 1.90/2.07 tff(19833,plain,
% 1.90/2.07 (m_main_v_state(s8, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6566, 19, 19832])).
% 1.90/2.07 tff(19834,plain,
% 1.90/2.07 (~m_main_v_request(s8)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6555, 19833, 19831])).
% 1.90/2.07 tff(19835,plain,
% 1.90/2.07 (~node4(s8)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6546, 3141, 19834])).
% 1.90/2.07 tff(19836,plain,
% 1.90/2.07 (~node4(s7)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6889, 19832])).
% 1.90/2.07 tff(19837,plain,
% 1.90/2.07 (until2p7(s7)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[5341, 5333, 4303])).
% 1.90/2.07 tff(19838,plain,
% 1.90/2.07 (node4(s7) | xuntil2p8(s7)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4607, 3051, 19837])).
% 1.90/2.07 tff(19839,plain,
% 1.90/2.07 (xuntil2p8(s7)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19838, 19836])).
% 1.90/2.07 tff(19840,plain,
% 1.90/2.07 (until2p7(s8)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4601, 19839])).
% 1.90/2.07 tff(19841,plain,
% 1.90/2.07 (node4(s8) | xuntil2p8(s8)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4595, 3051, 19840])).
% 1.90/2.07 tff(19842,plain,
% 1.90/2.07 (xuntil2p8(s8)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19841, 19835])).
% 1.90/2.07 tff(19843,plain,
% 1.90/2.07 (until2p7(s9)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4589, 19842])).
% 1.90/2.07 tff(19844,plain,
% 1.90/2.07 (xuntil2p8(s9)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4550, 3051, 19843, 19830])).
% 1.90/2.07 tff(19845,plain,
% 1.90/2.07 (until2p7(s10)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4544, 19844])).
% 1.90/2.07 tff(19846,plain,
% 1.90/2.07 (always3(s11)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[1990, 19828])).
% 1.90/2.07 tff(19847,plain,
% 1.90/2.07 (~m_main_v_state(s11, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6953, 3154, 19846])).
% 1.90/2.07 tff(19848,plain,
% 1.90/2.07 (m_main_v_state(s10, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6964, 19, 19829])).
% 1.90/2.07 tff(19849,plain,
% 1.90/2.07 (~m_main_v_request(s10)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7005, 19848, 19847])).
% 1.90/2.07 tff(19850,plain,
% 1.90/2.07 (~node4(s10)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6996, 3141, 19849])).
% 1.90/2.07 tff(19851,plain,
% 1.90/2.07 (xuntil2p8(s10) | (~until2p7(s10))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4538, 3051, 19850])).
% 1.90/2.07 tff(19852,plain,
% 1.90/2.07 (xuntil2p8(s10)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19851, 19845])).
% 1.90/2.07 tff(19853,plain,
% 1.90/2.07 (until2p7(s11)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4532, 19852])).
% 1.90/2.07 tff(19854,plain,
% 1.90/2.07 (always3(s12)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[1978, 19846])).
% 1.90/2.07 tff(19855,plain,
% 1.90/2.07 (~m_main_v_state(s12, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7080, 3154, 19854])).
% 1.90/2.07 tff(19856,plain,
% 1.90/2.07 (~node4(s11)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7107, 19855])).
% 1.90/2.07 tff(19857,plain,
% 1.90/2.07 (xuntil2p8(s11) | (~until2p7(s11))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4526, 3051, 19856])).
% 1.90/2.07 tff(19858,plain,
% 1.90/2.07 (xuntil2p8(s11)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19857, 19853])).
% 1.90/2.07 tff(19859,plain,
% 1.90/2.07 (until2p7(s12)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4520, 19858])).
% 1.90/2.07 tff(19860,plain,
% 1.90/2.07 (always3(s13)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[1966, 19854])).
% 1.90/2.07 tff(19861,plain,
% 1.90/2.07 (~m_main_v_state(s13, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4492, 3154, 19860])).
% 1.90/2.07 tff(19862,plain,
% 1.90/2.07 (m_main_v_state(s12, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7084, 19, 19855])).
% 1.90/2.07 tff(19863,plain,
% 1.90/2.07 (~m_main_v_request(s12)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7125, 19862, 19861])).
% 1.90/2.07 tff(19864,plain,
% 1.90/2.07 (~node4(s12)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7116, 3141, 19863])).
% 1.90/2.07 tff(19865,plain,
% 1.90/2.07 (xuntil2p8(s12) | (~until2p7(s12))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4514, 3051, 19864])).
% 1.90/2.07 tff(19866,plain,
% 1.90/2.07 (xuntil2p8(s12)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19865, 19859])).
% 1.90/2.07 tff(19867,plain,
% 1.90/2.07 (until2p7(s13)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4507, 19866])).
% 1.90/2.07 tff(19868,plain,
% 1.90/2.07 (xuntil2p8(s13)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4502, 19867])).
% 1.90/2.07 tff(19869,plain,
% 1.90/2.07 (always3(s14)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[1954, 19860])).
% 1.90/2.07 tff(19870,plain,
% 1.90/2.07 (always3(s15)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[1942, 19869])).
% 1.90/2.07 tff(19871,plain,
% 1.90/2.07 (always3(s16)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[438, 19870])).
% 1.90/2.07 tff(19872,plain,
% 1.90/2.07 (always3(s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[426, 19871])).
% 1.90/2.07 tff(19873,plain,
% 1.90/2.07 (always3(s18)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[414, 19872])).
% 1.90/2.07 tff(19874,plain,
% 1.90/2.07 (always3(s19)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[402, 19873])).
% 1.90/2.07 tff(19875,plain,
% 1.90/2.07 (~m_main_v_state(s19, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7336, 3154, 19874])).
% 1.90/2.07 tff(19876,plain,
% 1.90/2.07 (~m_main_v_state(s18, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7287, 3154, 19873])).
% 1.90/2.07 tff(19877,plain,
% 1.90/2.07 (m_main_v_state(s18, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7357, 19, 19876])).
% 1.90/2.07 tff(19878,plain,
% 1.90/2.07 (~m_main_v_request(s18)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7352, 19877, 19875])).
% 1.90/2.07 tff(19879,plain,
% 1.90/2.07 (~node4(s18)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7343, 3141, 19878])).
% 1.90/2.07 tff(19880,plain,
% 1.90/2.07 (always3(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[390, 19874])).
% 1.90/2.07 tff(19881,plain,
% 1.90/2.07 (always3(s21)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[378, 19880])).
% 1.90/2.07 tff(19882,plain,
% 1.90/2.07 (~m_main_v_state(s21, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7440, 3154, 19881])).
% 1.90/2.07 tff(19883,plain,
% 1.90/2.07 (~m_main_v_state(s20, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7432, 3154, 19880])).
% 1.90/2.07 tff(19884,plain,
% 1.90/2.07 (m_main_v_state(s20, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7444, 19, 19883])).
% 1.90/2.07 tff(19885,plain,
% 1.90/2.07 (~m_main_v_request(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7453, 19884, 19882])).
% 1.90/2.07 tff(19886,plain,
% 1.90/2.07 (~node4(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7457, 3141, 19885])).
% 1.90/2.07 tff(19887,plain,
% 1.90/2.07 (~until2p7(s20)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19732, 19886])).
% 1.90/2.07 tff(19888,plain,
% 1.90/2.07 (~xuntil2p8(s19)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4212, 19887])).
% 1.90/2.07 tff(19889,plain,
% 1.90/2.07 (m_main_v_state(s19, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[17901, 19875])).
% 1.90/2.07 tff(19890,plain,
% 1.90/2.07 (~m_main_v_request(s19)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7473, 19883, 19889])).
% 1.90/2.07 tff(19891,plain,
% 1.90/2.07 (~node4(s19)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7464, 3141, 19890])).
% 1.90/2.07 tff(19892,plain,
% 1.90/2.07 (xuntil2p8(s19) | (~until2p7(s19))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4218, 3051, 19891])).
% 1.90/2.07 tff(19893,plain,
% 1.90/2.07 (~until2p7(s19)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19892, 19888])).
% 1.90/2.07 tff(19894,plain,
% 1.90/2.07 (~xuntil2p8(s18)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4224, 19893])).
% 1.90/2.07 tff(19895,plain,
% 1.90/2.07 (~until2p7(s18)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4230, 3051, 19894, 19879])).
% 1.90/2.07 tff(19896,plain,
% 1.90/2.07 (~xuntil2p8(s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4236, 19895])).
% 1.90/2.07 tff(19897,plain,
% 1.90/2.07 (~m_main_v_state(s17, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4262, 3154, 19872])).
% 1.90/2.07 tff(19898,plain,
% 1.90/2.07 (m_main_v_state(s17, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7291, 19, 19897])).
% 1.90/2.07 tff(19899,plain,
% 1.90/2.07 (~m_main_v_request(s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7300, 19898, 19876])).
% 1.90/2.07 tff(19900,plain,
% 1.90/2.07 (~node4(s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7304, 3141, 19899])).
% 1.90/2.07 tff(19901,plain,
% 1.90/2.07 (xuntil2p8(s17) | (~until2p7(s17))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4242, 3051, 19900])).
% 1.90/2.07 tff(19902,plain,
% 1.90/2.07 (~until2p7(s17)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19901, 19896])).
% 1.90/2.07 tff(19903,plain,
% 1.90/2.07 (~xuntil2p8(s16)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4248, 19902])).
% 1.90/2.07 tff(19904,plain,
% 1.90/2.07 (~until2p7(s16)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4288, 19903])).
% 1.90/2.07 tff(19905,plain,
% 1.90/2.07 (~xuntil2p8(s15)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4293, 19904])).
% 1.90/2.07 tff(19906,plain,
% 1.90/2.07 (~m_main_v_state(s16, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4278, 3154, 19871])).
% 1.90/2.07 tff(19907,plain,
% 1.90/2.07 (~m_main_v_state(s15, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7218, 3154, 19870])).
% 1.90/2.07 tff(19908,plain,
% 1.90/2.07 (m_main_v_state(s15, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7222, 19, 19907])).
% 1.90/2.07 tff(19909,plain,
% 1.90/2.07 (~m_main_v_request(s15)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7263, 19908, 19906])).
% 1.90/2.07 tff(19910,plain,
% 1.90/2.07 (~node4(s15)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7254, 3141, 19909])).
% 1.90/2.07 tff(19911,plain,
% 1.90/2.07 (xuntil2p8(s15) | (~until2p7(s15))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4300, 3051, 19910])).
% 1.90/2.07 tff(19912,plain,
% 1.90/2.07 (~until2p7(s15)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19911, 19905])).
% 1.90/2.07 tff(19913,plain,
% 1.90/2.07 (~xuntil2p8(s14)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4450, 19912])).
% 1.90/2.07 tff(19914,plain,
% 1.90/2.07 (~node4(s14)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[7245, 19907])).
% 1.90/2.07 tff(19915,plain,
% 1.90/2.07 (xuntil2p8(s14) | (~until2p7(s14))),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4456, 3051, 19914])).
% 1.90/2.07 tff(19916,plain,
% 1.90/2.07 (~until2p7(s14)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19915, 19913])).
% 1.90/2.07 tff(19917,plain,
% 1.90/2.07 ($false),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[4462, 19916, 19868])).
% 1.90/2.07 tff(19918,plain,((~trans(s99, s7)) | xuntil2p8(s20) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.90/2.07 tff(19919,plain,
% 1.90/2.07 (~trans(s99, s7)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[19918, 19726, 16380])).
% 1.90/2.07 tff(19920,plain,
% 1.90/2.07 (~trans(s99, s35)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[5141, 19653, 16380])).
% 1.90/2.07 tff(19921,plain,
% 1.90/2.07 (~trans(s99, s30)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[5152, 19674, 16380])).
% 1.90/2.07 tff(19922,plain,
% 1.90/2.07 (always3(s1)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6407, 5355])).
% 1.90/2.07 tff(19923,plain,
% 1.90/2.07 (always3(s2)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[2098, 19922])).
% 1.90/2.07 tff(19924,plain,
% 1.90/2.07 (always3(s3)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[2086, 19923])).
% 1.90/2.07 tff(19925,plain,
% 1.90/2.07 (~m_main_v_state(s3, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6754, 3154, 19924])).
% 1.90/2.07 tff(19926,plain,
% 1.90/2.07 (~m_main_v_state(s2, c_busy)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6790, 3154, 19923])).
% 1.90/2.07 tff(19927,plain,
% 1.90/2.07 (m_main_v_state(s2, c_ready)),
% 1.90/2.07 inference(unit_resolution,[status(thm)],[6794, 19, 19926])).
% 1.90/2.08 tff(19928,plain,
% 1.90/2.08 (~m_main_v_request(s2)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6803, 19927, 19925])).
% 1.90/2.08 tff(19929,plain,
% 1.90/2.08 (~node4(s2)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6807, 3141, 19928])).
% 1.90/2.08 tff(19930,plain,
% 1.90/2.08 (~m_main_v_state(s1, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6727, 3154, 19922])).
% 1.90/2.08 tff(19931,plain,
% 1.90/2.08 (m_main_v_state(s1, c_ready)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6830, 19, 19930])).
% 1.90/2.08 tff(19932,plain,
% 1.90/2.08 (~m_main_v_request(s1)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6824, 19931, 19926])).
% 1.90/2.08 tff(19933,plain,
% 1.90/2.08 (~node4(s1)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6815, 3141, 19932])).
% 1.90/2.08 tff(19934,plain,
% 1.90/2.08 (until2p7(s1)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[5363, 5355, 4303])).
% 1.90/2.08 tff(19935,plain,
% 1.90/2.08 (node4(s1) | xuntil2p8(s1)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[5163, 3051, 19934])).
% 1.90/2.08 tff(19936,plain,
% 1.90/2.08 (xuntil2p8(s1)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[19935, 19933])).
% 1.90/2.08 tff(19937,plain,
% 1.90/2.08 (until2p7(s2)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[5157, 19936])).
% 1.90/2.08 tff(19938,plain,
% 1.90/2.08 (xuntil2p8(s2)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4667, 3051, 19937, 19929])).
% 1.90/2.08 tff(19939,plain,
% 1.90/2.08 (until2p7(s3)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4661, 19938])).
% 1.90/2.08 tff(19940,plain,
% 1.90/2.08 (always3(s4)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[2074, 19924])).
% 1.90/2.08 tff(19941,plain,
% 1.90/2.08 (~m_main_v_state(s4, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6694, 3154, 19940])).
% 1.90/2.08 tff(19942,plain,
% 1.90/2.08 (m_main_v_state(s3, c_ready)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6758, 19, 19925])).
% 1.90/2.08 tff(19943,plain,
% 1.90/2.08 (~m_main_v_request(s3)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6767, 19942, 19941])).
% 1.90/2.08 tff(19944,plain,
% 1.90/2.08 (~node4(s3)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6771, 3141, 19943])).
% 1.90/2.08 tff(19945,plain,
% 1.90/2.08 (xuntil2p8(s3) | (~until2p7(s3))),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4655, 3051, 19944])).
% 1.90/2.08 tff(19946,plain,
% 1.90/2.08 (xuntil2p8(s3)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[19945, 19939])).
% 1.90/2.08 tff(19947,plain,
% 1.90/2.08 (until2p7(s4)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4649, 19946])).
% 1.90/2.08 tff(19948,plain,
% 1.90/2.08 (always3(s5)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[2062, 19940])).
% 1.90/2.08 tff(19949,plain,
% 1.90/2.08 (~m_main_v_state(s5, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6671, 3154, 19948])).
% 1.90/2.08 tff(19950,plain,
% 1.90/2.08 (m_main_v_state(s4, c_ready)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6698, 19, 19941])).
% 1.90/2.08 tff(19951,plain,
% 1.90/2.08 (~m_main_v_request(s4)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6687, 19950, 19949])).
% 1.90/2.08 tff(19952,plain,
% 1.90/2.08 (~node4(s4)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6678, 3141, 19951])).
% 1.90/2.08 tff(19953,plain,
% 1.90/2.08 (xuntil2p8(s4) | (~until2p7(s4))),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4643, 3051, 19952])).
% 1.90/2.08 tff(19954,plain,
% 1.90/2.08 (xuntil2p8(s4)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[19953, 19947])).
% 1.90/2.08 tff(19955,plain,
% 1.90/2.08 (until2p7(s5)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4637, 19954])).
% 1.90/2.08 tff(19956,plain,
% 1.90/2.08 (always3(s6)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[2050, 19948])).
% 1.90/2.08 tff(19957,plain,
% 1.90/2.08 (~m_main_v_state(s6, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6633, 3154, 19956])).
% 1.90/2.08 tff(19958,plain,
% 1.90/2.08 (~node4(s5)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6861, 19957])).
% 1.90/2.08 tff(19959,plain,
% 1.90/2.08 (xuntil2p8(s5) | (~until2p7(s5))),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4631, 3051, 19958])).
% 1.90/2.08 tff(19960,plain,
% 1.90/2.08 (xuntil2p8(s5)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[19959, 19955])).
% 1.90/2.08 tff(19961,plain,
% 1.90/2.08 (until2p7(s6)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4625, 19960])).
% 1.90/2.08 tff(19962,plain,
% 1.90/2.08 (always3(s7)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[2038, 19956])).
% 1.90/2.08 tff(19963,plain,
% 1.90/2.08 (~m_main_v_state(s7, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6610, 3154, 19962])).
% 1.90/2.08 tff(19964,plain,
% 1.90/2.08 (m_main_v_state(s6, c_ready)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6637, 19, 19957])).
% 1.90/2.08 tff(19965,plain,
% 1.90/2.08 (~m_main_v_request(s6)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6626, 19964, 19963])).
% 1.90/2.08 tff(19966,plain,
% 1.90/2.08 (~node4(s6)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6617, 3141, 19965])).
% 1.90/2.08 tff(19967,plain,
% 1.90/2.08 (xuntil2p8(s6) | (~until2p7(s6))),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4619, 3051, 19966])).
% 1.90/2.08 tff(19968,plain,
% 1.90/2.08 (xuntil2p8(s6)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[19967, 19961])).
% 1.90/2.08 tff(19969,plain,
% 1.90/2.08 (until2p7(s7)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4613, 19968])).
% 1.90/2.08 tff(19970,plain,
% 1.90/2.08 (always3(s8)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[2026, 19962])).
% 1.90/2.08 tff(19971,plain,
% 1.90/2.08 (~m_main_v_state(s8, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6562, 3154, 19970])).
% 1.90/2.08 tff(19972,plain,
% 1.90/2.08 (~node4(s7)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6889, 19971])).
% 1.90/2.08 tff(19973,plain,
% 1.90/2.08 (xuntil2p8(s7) | (~until2p7(s7))),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4607, 3051, 19972])).
% 1.90/2.08 tff(19974,plain,
% 1.90/2.08 (xuntil2p8(s7)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[19973, 19969])).
% 1.90/2.08 tff(19975,plain,
% 1.90/2.08 (until2p7(s8)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4601, 19974])).
% 1.90/2.08 tff(19976,plain,
% 1.90/2.08 (always3(s9)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[2014, 19970])).
% 1.90/2.08 tff(19977,plain,
% 1.90/2.08 (~m_main_v_state(s9, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6539, 3154, 19976])).
% 1.90/2.08 tff(19978,plain,
% 1.90/2.08 (m_main_v_state(s8, c_ready)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6566, 19, 19971])).
% 1.90/2.08 tff(19979,plain,
% 1.90/2.08 (~m_main_v_request(s8)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6555, 19978, 19977])).
% 1.90/2.08 tff(19980,plain,
% 1.90/2.08 (~node4(s8)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6546, 3141, 19979])).
% 1.90/2.08 tff(19981,plain,
% 1.90/2.08 (xuntil2p8(s8) | (~until2p7(s8))),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4595, 3051, 19980])).
% 1.90/2.08 tff(19982,plain,
% 1.90/2.08 (xuntil2p8(s8)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[19981, 19975])).
% 1.90/2.08 tff(19983,plain,
% 1.90/2.08 (until2p7(s9)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4589, 19982])).
% 1.90/2.08 tff(19984,plain,
% 1.90/2.08 (always3(s10)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[2002, 19976])).
% 1.90/2.08 tff(19985,plain,
% 1.90/2.08 (~m_main_v_state(s10, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6960, 3154, 19984])).
% 1.90/2.08 tff(19986,plain,
% 1.90/2.08 (~node4(s9)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6987, 19985])).
% 1.90/2.08 tff(19987,plain,
% 1.90/2.08 (xuntil2p8(s9) | (~until2p7(s9))),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4550, 3051, 19986])).
% 1.90/2.08 tff(19988,plain,
% 1.90/2.08 (xuntil2p8(s9)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[19987, 19983])).
% 1.90/2.08 tff(19989,plain,
% 1.90/2.08 (until2p7(s10)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4544, 19988])).
% 1.90/2.08 tff(19990,plain,
% 1.90/2.08 (always3(s11)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[1990, 19984])).
% 1.90/2.08 tff(19991,plain,
% 1.90/2.08 (always3(s12)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[1978, 19990])).
% 1.90/2.08 tff(19992,plain,
% 1.90/2.08 (always3(s13)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[1966, 19991])).
% 1.90/2.08 tff(19993,plain,
% 1.90/2.08 (always3(s14)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[1954, 19992])).
% 1.90/2.08 tff(19994,plain,
% 1.90/2.08 (always3(s15)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[1942, 19993])).
% 1.90/2.08 tff(19995,plain,
% 1.90/2.08 (always3(s16)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[438, 19994])).
% 1.90/2.08 tff(19996,plain,
% 1.90/2.08 (always3(s17)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[426, 19995])).
% 1.90/2.08 tff(19997,plain,
% 1.90/2.08 (always3(s18)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[414, 19996])).
% 1.90/2.08 tff(19998,plain,
% 1.90/2.08 (always3(s19)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[402, 19997])).
% 1.90/2.08 tff(19999,plain,
% 1.90/2.08 (~m_main_v_state(s19, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7336, 3154, 19998])).
% 1.90/2.08 tff(20000,plain,
% 1.90/2.08 (~m_main_v_state(s18, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7287, 3154, 19997])).
% 1.90/2.08 tff(20001,plain,
% 1.90/2.08 (m_main_v_state(s18, c_ready)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7357, 19, 20000])).
% 1.90/2.08 tff(20002,plain,
% 1.90/2.08 (~m_main_v_request(s18)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7352, 20001, 19999])).
% 1.90/2.08 tff(20003,plain,
% 1.90/2.08 (~node4(s18)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7343, 3141, 20002])).
% 1.90/2.08 tff(20004,plain,
% 1.90/2.08 (always3(s20)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[390, 19998])).
% 1.90/2.08 tff(20005,plain,
% 1.90/2.08 (always3(s21)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[378, 20004])).
% 1.90/2.08 tff(20006,plain,
% 1.90/2.08 (~m_main_v_state(s21, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7440, 3154, 20005])).
% 1.90/2.08 tff(20007,plain,
% 1.90/2.08 (~m_main_v_state(s20, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7432, 3154, 20004])).
% 1.90/2.08 tff(20008,plain,
% 1.90/2.08 (m_main_v_state(s20, c_ready)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7444, 19, 20007])).
% 1.90/2.08 tff(20009,plain,
% 1.90/2.08 (~m_main_v_request(s20)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7453, 20008, 20006])).
% 1.90/2.08 tff(20010,plain,
% 1.90/2.08 (~node4(s20)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7457, 3141, 20009])).
% 1.90/2.08 tff(20011,plain,
% 1.90/2.08 (~until2p7(s20)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[19732, 20010])).
% 1.90/2.08 tff(20012,plain,
% 1.90/2.08 (~xuntil2p8(s19)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4212, 20011])).
% 1.90/2.08 tff(20013,plain,
% 1.90/2.08 (m_main_v_state(s19, c_ready)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[17901, 19999])).
% 1.90/2.08 tff(20014,plain,
% 1.90/2.08 (~m_main_v_request(s19)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7473, 20007, 20013])).
% 1.90/2.08 tff(20015,plain,
% 1.90/2.08 (~node4(s19)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7464, 3141, 20014])).
% 1.90/2.08 tff(20016,plain,
% 1.90/2.08 (xuntil2p8(s19) | (~until2p7(s19))),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4218, 3051, 20015])).
% 1.90/2.08 tff(20017,plain,
% 1.90/2.08 (~until2p7(s19)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[20016, 20012])).
% 1.90/2.08 tff(20018,plain,
% 1.90/2.08 (~xuntil2p8(s18)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4224, 20017])).
% 1.90/2.08 tff(20019,plain,
% 1.90/2.08 (~until2p7(s18)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4230, 3051, 20018, 20003])).
% 1.90/2.08 tff(20020,plain,
% 1.90/2.08 (~xuntil2p8(s17)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4236, 20019])).
% 1.90/2.08 tff(20021,plain,
% 1.90/2.08 (~m_main_v_state(s17, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4262, 3154, 19996])).
% 1.90/2.08 tff(20022,plain,
% 1.90/2.08 (m_main_v_state(s17, c_ready)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7291, 19, 20021])).
% 1.90/2.08 tff(20023,plain,
% 1.90/2.08 (~m_main_v_request(s17)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7300, 20022, 20000])).
% 1.90/2.08 tff(20024,plain,
% 1.90/2.08 (~node4(s17)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7304, 3141, 20023])).
% 1.90/2.08 tff(20025,plain,
% 1.90/2.08 (xuntil2p8(s17) | (~until2p7(s17))),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4242, 3051, 20024])).
% 1.90/2.08 tff(20026,plain,
% 1.90/2.08 (~until2p7(s17)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[20025, 20020])).
% 1.90/2.08 tff(20027,plain,
% 1.90/2.08 (~xuntil2p8(s16)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4248, 20026])).
% 1.90/2.08 tff(20028,plain,
% 1.90/2.08 (~until2p7(s16)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4288, 20027])).
% 1.90/2.08 tff(20029,plain,
% 1.90/2.08 (~xuntil2p8(s15)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4293, 20028])).
% 1.90/2.08 tff(20030,plain,
% 1.90/2.08 (~m_main_v_state(s16, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4278, 3154, 19995])).
% 1.90/2.08 tff(20031,plain,
% 1.90/2.08 (~m_main_v_state(s15, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7218, 3154, 19994])).
% 1.90/2.08 tff(20032,plain,
% 1.90/2.08 (m_main_v_state(s15, c_ready)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7222, 19, 20031])).
% 1.90/2.08 tff(20033,plain,
% 1.90/2.08 (~m_main_v_request(s15)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7263, 20032, 20030])).
% 1.90/2.08 tff(20034,plain,
% 1.90/2.08 (~node4(s15)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7254, 3141, 20033])).
% 1.90/2.08 tff(20035,plain,
% 1.90/2.08 (xuntil2p8(s15) | (~until2p7(s15))),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4300, 3051, 20034])).
% 1.90/2.08 tff(20036,plain,
% 1.90/2.08 (~until2p7(s15)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[20035, 20029])).
% 1.90/2.08 tff(20037,plain,
% 1.90/2.08 (~xuntil2p8(s14)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4450, 20036])).
% 1.90/2.08 tff(20038,plain,
% 1.90/2.08 (~node4(s14)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7245, 20031])).
% 1.90/2.08 tff(20039,plain,
% 1.90/2.08 (xuntil2p8(s14) | (~until2p7(s14))),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4456, 3051, 20038])).
% 1.90/2.08 tff(20040,plain,
% 1.90/2.08 (~until2p7(s14)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[20039, 20037])).
% 1.90/2.08 tff(20041,plain,
% 1.90/2.08 (~xuntil2p8(s13)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4462, 20040])).
% 1.90/2.08 tff(20042,plain,
% 1.90/2.08 (~until2p7(s13)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4502, 20041])).
% 1.90/2.08 tff(20043,plain,
% 1.90/2.08 (~xuntil2p8(s12)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4507, 20042])).
% 1.90/2.08 tff(20044,plain,
% 1.90/2.08 (~m_main_v_state(s13, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4492, 3154, 19992])).
% 1.90/2.08 tff(20045,plain,
% 1.90/2.08 (~m_main_v_state(s12, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7080, 3154, 19991])).
% 1.90/2.08 tff(20046,plain,
% 1.90/2.08 (m_main_v_state(s12, c_ready)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7084, 19, 20045])).
% 1.90/2.08 tff(20047,plain,
% 1.90/2.08 (~m_main_v_request(s12)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7125, 20046, 20044])).
% 1.90/2.08 tff(20048,plain,
% 1.90/2.08 (~node4(s12)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7116, 3141, 20047])).
% 1.90/2.08 tff(20049,plain,
% 1.90/2.08 (xuntil2p8(s12) | (~until2p7(s12))),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4514, 3051, 20048])).
% 1.90/2.08 tff(20050,plain,
% 1.90/2.08 (~until2p7(s12)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[20049, 20043])).
% 1.90/2.08 tff(20051,plain,
% 1.90/2.08 (~xuntil2p8(s11)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4520, 20050])).
% 1.90/2.08 tff(20052,plain,
% 1.90/2.08 (~node4(s11)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7107, 20045])).
% 1.90/2.08 tff(20053,plain,
% 1.90/2.08 (xuntil2p8(s11) | (~until2p7(s11))),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4526, 3051, 20052])).
% 1.90/2.08 tff(20054,plain,
% 1.90/2.08 (~until2p7(s11)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[20053, 20051])).
% 1.90/2.08 tff(20055,plain,
% 1.90/2.08 (~xuntil2p8(s10)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[4532, 20054])).
% 1.90/2.08 tff(20056,plain,
% 1.90/2.08 (~m_main_v_state(s11, c_busy)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6953, 3154, 19990])).
% 1.90/2.08 tff(20057,plain,
% 1.90/2.08 (m_main_v_state(s10, c_ready)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6964, 19, 19985])).
% 1.90/2.08 tff(20058,plain,
% 1.90/2.08 (~m_main_v_request(s10)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[7005, 20057, 20056])).
% 1.90/2.08 tff(20059,plain,
% 1.90/2.08 (~node4(s10)),
% 1.90/2.08 inference(unit_resolution,[status(thm)],[6996, 3141, 20058])).
% 1.90/2.08 tff(20060,plain,
% 1.90/2.08 (xuntil2p8(s10) | (~until2p7(s10))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4538, 3051, 20059])).
% 1.91/2.08 tff(20061,plain,
% 1.91/2.08 ($false),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20060, 20055, 19989])).
% 1.91/2.08 tff(20062,plain,((~trans(s99, s1)) | xuntil2p8(s20) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.08 tff(20063,plain,
% 1.91/2.08 (~trans(s99, s1)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20062, 19726, 16380])).
% 1.91/2.08 tff(20064,plain,
% 1.91/2.08 (~trans(s99, s31)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[5473, 19670, 16380])).
% 1.91/2.08 tff(20065,plain,
% 1.91/2.08 (~trans(s99, s32)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[5286, 19661, 16380])).
% 1.91/2.08 tff(20066,plain,
% 1.91/2.08 (~trans(s99, s33)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[5539, 19659, 16380])).
% 1.91/2.08 tff(20067,plain,
% 1.91/2.08 (~trans(s99, s21)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[5440, 19725, 16380])).
% 1.91/2.08 tff(20068,plain,
% 1.91/2.08 (~trans(s99, s23)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[5209, 19710, 16380])).
% 1.91/2.08 tff(20069,plain,
% 1.91/2.08 (~trans(s99, s25)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4767, 19706, 16380])).
% 1.91/2.08 tff(20070,plain,
% 1.91/2.08 (~always3(s14)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[1942, 7320])).
% 1.91/2.08 tff(20071,plain,
% 1.91/2.08 (~always3(s13)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[1954, 20070])).
% 1.91/2.08 tff(20072,plain,
% 1.91/2.08 (~always3(s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[1966, 20071])).
% 1.91/2.08 tff(20073,plain,
% 1.91/2.08 (~always3(s11)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[1978, 20072])).
% 1.91/2.08 tff(20074,plain,
% 1.91/2.08 (~always3(s10)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[1990, 20073])).
% 1.91/2.08 tff(20075,plain,
% 1.91/2.08 (~always3(s9)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2002, 20074])).
% 1.91/2.08 tff(20076,plain,
% 1.91/2.08 (~always3(s8)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2014, 20075])).
% 1.91/2.08 tff(20077,plain,
% 1.91/2.08 (~always3(s7)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2026, 20076])).
% 1.91/2.08 tff(20078,plain,
% 1.91/2.08 (~always3(s6)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2038, 20077])).
% 1.91/2.08 tff(20079,plain,
% 1.91/2.08 (~always3(s5)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2050, 20078])).
% 1.91/2.08 tff(20080,plain,
% 1.91/2.08 (~always3(s4)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2062, 20079])).
% 1.91/2.08 tff(20081,plain,
% 1.91/2.08 (~always3(s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2074, 20080])).
% 1.91/2.08 tff(20082,plain,
% 1.91/2.08 (~always3(s2)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2086, 20081])).
% 1.91/2.08 tff(20083,plain,
% 1.91/2.08 (~trans(s99, s2)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6032, 20082])).
% 1.91/2.08 tff(20084,plain,
% 1.91/2.08 (~trans(s99, s8)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6273, 20076])).
% 1.91/2.08 tff(20085,plain,
% 1.91/2.08 (~trans(s99, s18)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6229, 6220])).
% 1.91/2.08 tff(20086,plain,
% 1.91/2.08 (~trans(s99, s5)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6163, 20079])).
% 1.91/2.08 tff(20087,plain,
% 1.91/2.08 (~trans(s99, s4)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6043, 20080])).
% 1.91/2.08 tff(20088,plain,
% 1.91/2.08 (~trans(s99, s13)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6065, 20071])).
% 1.91/2.08 tff(20089,plain,
% 1.91/2.08 (~trans(s99, s11)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6152, 20073])).
% 1.91/2.08 tff(20090,plain,
% 1.91/2.08 (~trans(s99, s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6218, 20072])).
% 1.91/2.08 tff(20091,plain,
% 1.91/2.08 (~trans(s99, s6)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6473, 20078])).
% 1.91/2.08 tff(20092,plain,
% 1.91/2.08 (~trans(s99, s10)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6207, 20074])).
% 1.91/2.08 tff(20093,plain,
% 1.91/2.08 (~trans(s99, s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6319, 20081])).
% 1.91/2.08 tff(20094,plain,
% 1.91/2.08 (trans(s99, s0)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[17186, 20093, 3009, 9503, 8428, 8272, 8260, 10897, 8429, 8351, 8229, 8227, 8423, 8277, 16820, 8300, 16794, 8281, 8358, 10883, 9520, 8426, 8425, 8383, 8427, 8420, 8355, 8354, 8408, 9517, 8421, 8396, 8384, 9513, 8299, 9507, 9502, 9501, 20092, 8301, 8359, 20091, 20090, 20089, 8296, 8295, 8294, 10892, 8360, 8280, 8279, 20088, 8352, 20087, 20086, 8274, 8273, 20085, 9516, 20084, 16714, 9515, 20083, 8228, 8422, 10899, 9506])).
% 1.91/2.08 tff(20095,plain,
% 1.91/2.08 (~always3(s1)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2098, 20082])).
% 1.91/2.08 tff(20096,plain,
% 1.91/2.08 (~always3(s0)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2114, 20095])).
% 1.91/2.08 tff(20097,plain,
% 1.91/2.08 ($false),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6308, 20096, 20094])).
% 1.91/2.08 tff(20098,plain,(always3(s18) | node4(s99) | trans(s99, s50) | trans(s99, s9) | trans(s99, s19) | trans(s99, s41) | trans(s99, s49) | trans(s99, s46) | trans(s99, s45) | trans(s99, s39) | trans(s99, s15) | trans(s99, s16) | trans(s99, s37) | trans(s99, s36) | trans(s99, s25) | trans(s99, s23) | trans(s99, s58) | trans(s99, s52) | trans(s99, s21) | trans(s99, s33) | trans(s99, s32) | trans(s99, s31) | trans(s99, s1) | trans(s99, s30) | trans(s99, s35) | trans(s99, s7) | trans(s99, s59) | trans(s99, s29) | trans(s99, s17) | trans(s99, s14) | trans(s99, s55) | trans(s99, s20) | trans(s99, s51) | trans(s99, s56) | trans(s99, s62) | trans(s99, s43) | trans(s99, s27) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s24) | trans(s99, s47) | trans(s99, s42) | trans(s99, s26) | trans(s99, s38) | trans(s99, s44) | trans(s99, s60) | xuntil2p8(s63) | trans(s99, s57) | trans(s99, s48) | trans(s99, s40) | trans(s99, s64) | trans(s99, s65)), inference(lemma,lemma(discharge,[]))).
% 1.91/2.08 tff(20099,plain,
% 1.91/2.08 (always3(s18)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20098, 3009, 18684, 18395, 18138, 17885, 18683, 18678, 18677, 18676, 18957, 19289, 19148, 19373, 20069, 20068, 18640, 18639, 20067, 20066, 20065, 20064, 20063, 19921, 19920, 19919, 18637, 19824, 19823, 19789, 18635, 19739, 17829, 18634, 18633, 18777, 19722, 19721, 19720, 19719, 18632, 19691, 18497, 18776, 19690, 19135, 18631, 17828, 17762, 17827, 17826, 19050, 18681, 18680])).
% 1.91/2.08 tff(20100,plain,
% 1.91/2.08 (always3(s19)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[402, 20099])).
% 1.91/2.08 tff(20101,plain,
% 1.91/2.08 (~m_main_v_state(s19, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7336, 3154, 20100])).
% 1.91/2.08 tff(20102,plain,
% 1.91/2.08 (~m_main_v_state(s18, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7287, 3154, 20099])).
% 1.91/2.08 tff(20103,plain,
% 1.91/2.08 (m_main_v_state(s18, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7357, 19, 20102])).
% 1.91/2.08 tff(20104,plain,
% 1.91/2.08 (~m_main_v_request(s18)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7352, 20103, 20101])).
% 1.91/2.08 tff(20105,plain,
% 1.91/2.08 (~node4(s18)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7343, 3141, 20104])).
% 1.91/2.08 tff(20106,plain,
% 1.91/2.08 (always3(s20)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[390, 20100])).
% 1.91/2.08 tff(20107,plain,
% 1.91/2.08 (always3(s21)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[378, 20106])).
% 1.91/2.08 tff(20108,plain,
% 1.91/2.08 (~m_main_v_state(s21, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7440, 3154, 20107])).
% 1.91/2.08 tff(20109,plain,
% 1.91/2.08 (~m_main_v_state(s20, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7432, 3154, 20106])).
% 1.91/2.08 tff(20110,plain,
% 1.91/2.08 (m_main_v_state(s20, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7444, 19, 20109])).
% 1.91/2.08 tff(20111,plain,
% 1.91/2.08 (~m_main_v_request(s20)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7453, 20110, 20108])).
% 1.91/2.08 tff(20112,plain,
% 1.91/2.08 (~node4(s20)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7457, 3141, 20111])).
% 1.91/2.08 tff(20113,plain,
% 1.91/2.08 (node4(s20) | (~until2p7(s20))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4206, 3051, 19726])).
% 1.91/2.08 tff(20114,plain,
% 1.91/2.08 (~until2p7(s20)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20113, 20112])).
% 1.91/2.08 tff(20115,plain,
% 1.91/2.08 (~xuntil2p8(s19)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4212, 20114])).
% 1.91/2.08 tff(20116,plain,
% 1.91/2.08 (m_main_v_state(s19, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[17901, 20101])).
% 1.91/2.08 tff(20117,plain,
% 1.91/2.08 (~m_main_v_request(s19)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7473, 20109, 20116])).
% 1.91/2.08 tff(20118,plain,
% 1.91/2.08 (~node4(s19)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7464, 3141, 20117])).
% 1.91/2.08 tff(20119,plain,
% 1.91/2.08 (xuntil2p8(s19) | (~until2p7(s19))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4218, 3051, 20118])).
% 1.91/2.08 tff(20120,plain,
% 1.91/2.08 (~until2p7(s19)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20119, 20115])).
% 1.91/2.08 tff(20121,plain,
% 1.91/2.08 (~xuntil2p8(s18)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4224, 20120])).
% 1.91/2.08 tff(20122,plain,
% 1.91/2.08 (~until2p7(s18)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4230, 3051, 20121, 20105])).
% 1.91/2.08 tff(20123,plain,
% 1.91/2.08 (~trans(s99, s18)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[5053, 20122, 16380])).
% 1.91/2.08 tff(20124,plain,
% 1.91/2.08 (~trans(s99, s73)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4778, 17733, 16380])).
% 1.91/2.08 tff(20125,plain,
% 1.91/2.08 (~always3(s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[1966, 6056])).
% 1.91/2.08 tff(20126,plain,
% 1.91/2.08 (~always3(s11)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[1978, 20125])).
% 1.91/2.08 tff(20127,plain,
% 1.91/2.08 (~always3(s10)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[1990, 20126])).
% 1.91/2.08 tff(20128,plain,
% 1.91/2.08 (~always3(s9)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2002, 20127])).
% 1.91/2.08 tff(20129,plain,
% 1.91/2.08 (~always3(s8)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2014, 20128])).
% 1.91/2.08 tff(20130,plain,
% 1.91/2.08 (~always3(s7)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2026, 20129])).
% 1.91/2.08 tff(20131,plain,
% 1.91/2.08 (~always3(s6)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2038, 20130])).
% 1.91/2.08 tff(20132,plain,
% 1.91/2.08 (~always3(s5)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2050, 20131])).
% 1.91/2.08 tff(20133,plain,
% 1.91/2.08 (~always3(s4)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2062, 20132])).
% 1.91/2.08 tff(20134,plain,
% 1.91/2.08 (~always3(s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2074, 20133])).
% 1.91/2.08 tff(20135,plain,
% 1.91/2.08 (~always3(s2)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2086, 20134])).
% 1.91/2.08 tff(20136,plain,
% 1.91/2.08 (~trans(s99, s2)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6032, 20135])).
% 1.91/2.08 tff(20137,plain,
% 1.91/2.08 (~trans(s99, s8)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6273, 20129])).
% 1.91/2.08 tff(20138,plain,
% 1.91/2.08 (~trans(s99, s5)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6163, 20132])).
% 1.91/2.08 tff(20139,plain,
% 1.91/2.08 (~trans(s99, s4)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6043, 20133])).
% 1.91/2.08 tff(20140,plain,
% 1.91/2.08 (~trans(s99, s13)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6065, 6056])).
% 1.91/2.08 tff(20141,plain,
% 1.91/2.08 (~trans(s99, s11)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6152, 20126])).
% 1.91/2.08 tff(20142,plain,
% 1.91/2.08 (~trans(s99, s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6218, 20125])).
% 1.91/2.08 tff(20143,plain,
% 1.91/2.08 (~trans(s99, s6)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6473, 20131])).
% 1.91/2.08 tff(20144,plain,
% 1.91/2.08 (~trans(s99, s10)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6207, 20127])).
% 1.91/2.08 tff(20145,plain,
% 1.91/2.08 (~trans(s99, s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6319, 20134])).
% 1.91/2.08 tff(20146,plain,
% 1.91/2.08 (trans(s99, s0)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[17186, 20145, 3009, 9503, 8428, 8272, 8260, 10897, 8429, 8351, 8229, 8227, 8423, 8277, 16820, 8300, 16794, 8281, 8358, 10883, 9520, 8426, 8425, 8383, 8427, 8420, 8355, 8354, 8408, 9517, 8421, 8396, 8384, 9513, 8299, 9507, 9502, 9501, 20144, 8301, 8359, 20143, 20142, 20141, 8296, 8295, 8294, 10892, 8360, 8280, 8279, 20140, 8352, 20139, 20138, 8274, 8273, 8350, 9516, 20137, 16714, 9515, 20136, 8228, 8422, 10899, 9506])).
% 1.91/2.08 tff(20147,plain,
% 1.91/2.08 (~always3(s1)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2098, 20135])).
% 1.91/2.08 tff(20148,plain,
% 1.91/2.08 (~always3(s0)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2114, 20147])).
% 1.91/2.08 tff(20149,plain,
% 1.91/2.08 ($false),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6308, 20148, 20146])).
% 1.91/2.08 tff(20150,plain,(always3(s13) | node4(s99) | trans(s99, s50) | trans(s99, s9) | trans(s99, s19) | trans(s99, s41) | trans(s99, s49) | trans(s99, s46) | trans(s99, s45) | trans(s99, s39) | trans(s99, s15) | trans(s99, s16) | trans(s99, s37) | trans(s99, s36) | trans(s99, s25) | trans(s99, s23) | trans(s99, s58) | trans(s99, s52) | trans(s99, s21) | trans(s99, s33) | trans(s99, s32) | trans(s99, s31) | trans(s99, s1) | trans(s99, s30) | trans(s99, s35) | trans(s99, s7) | trans(s99, s59) | trans(s99, s29) | trans(s99, s17) | trans(s99, s14) | trans(s99, s55) | trans(s99, s20) | trans(s99, s51) | trans(s99, s56) | trans(s99, s62) | trans(s99, s43) | trans(s99, s27) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s24) | trans(s99, s47) | trans(s99, s42) | trans(s99, s26) | trans(s99, s38) | trans(s99, s44) | trans(s99, s18) | trans(s99, s60) | xuntil2p8(s63) | trans(s99, s57) | trans(s99, s48) | trans(s99, s40) | trans(s99, s64) | trans(s99, s65)), inference(lemma,lemma(discharge,[]))).
% 1.91/2.08 tff(20151,plain,
% 1.91/2.08 (always3(s13)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20150, 3009, 18684, 18395, 18138, 17885, 18683, 18678, 18677, 18676, 18957, 19289, 19148, 19373, 20069, 20068, 18640, 18639, 20067, 20066, 20065, 20064, 20063, 19921, 19920, 19919, 18637, 19824, 19823, 19789, 18635, 19739, 17829, 18634, 18633, 18777, 19722, 19721, 19720, 19719, 18632, 19691, 18497, 18776, 19690, 19135, 18631, 20123, 17828, 17762, 17827, 17826, 19050, 18681, 18680])).
% 1.91/2.08 tff(20152,plain,
% 1.91/2.08 (always3(s14)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[1954, 20151])).
% 1.91/2.08 tff(20153,plain,
% 1.91/2.08 (always3(s15)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[1942, 20152])).
% 1.91/2.08 tff(20154,plain,
% 1.91/2.08 (always3(s16)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[438, 20153])).
% 1.91/2.08 tff(20155,plain,
% 1.91/2.08 (~m_main_v_state(s16, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4278, 3154, 20154])).
% 1.91/2.08 tff(20156,plain,
% 1.91/2.08 (~m_main_v_state(s15, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7218, 3154, 20153])).
% 1.91/2.08 tff(20157,plain,
% 1.91/2.08 (m_main_v_state(s15, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7222, 19, 20156])).
% 1.91/2.08 tff(20158,plain,
% 1.91/2.08 (~m_main_v_request(s15)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7263, 20157, 20155])).
% 1.91/2.08 tff(20159,plain,
% 1.91/2.08 (~node4(s15)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7254, 3141, 20158])).
% 1.91/2.08 tff(20160,plain,
% 1.91/2.08 (always3(s17)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[426, 20154])).
% 1.91/2.08 tff(20161,plain,
% 1.91/2.08 (~m_main_v_state(s17, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4262, 3154, 20160])).
% 1.91/2.08 tff(20162,plain,
% 1.91/2.08 (m_main_v_state(s17, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7291, 19, 20161])).
% 1.91/2.08 tff(20163,plain,
% 1.91/2.08 (~m_main_v_request(s17)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7300, 20162, 20102])).
% 1.91/2.08 tff(20164,plain,
% 1.91/2.08 (~node4(s17)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7304, 3141, 20163])).
% 1.91/2.08 tff(20165,plain,
% 1.91/2.08 (~xuntil2p8(s17)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4236, 20122])).
% 1.91/2.08 tff(20166,plain,
% 1.91/2.08 (node4(s17) | (~until2p7(s17))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4242, 3051, 20165])).
% 1.91/2.08 tff(20167,plain,
% 1.91/2.08 (~until2p7(s17)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20166, 20164])).
% 1.91/2.08 tff(20168,plain,
% 1.91/2.08 (~xuntil2p8(s16)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4248, 20167])).
% 1.91/2.08 tff(20169,plain,
% 1.91/2.08 (~until2p7(s16)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4288, 20168])).
% 1.91/2.08 tff(20170,plain,
% 1.91/2.08 (~xuntil2p8(s15)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4293, 20169])).
% 1.91/2.08 tff(20171,plain,
% 1.91/2.08 (~until2p7(s15)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4300, 3051, 20170, 20159])).
% 1.91/2.08 tff(20172,plain,
% 1.91/2.08 (~xuntil2p8(s14)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4450, 20171])).
% 1.91/2.08 tff(20173,plain,
% 1.91/2.08 (~node4(s14)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7245, 20156])).
% 1.91/2.08 tff(20174,plain,
% 1.91/2.08 (xuntil2p8(s14) | (~until2p7(s14))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4456, 3051, 20173])).
% 1.91/2.08 tff(20175,plain,
% 1.91/2.08 (~until2p7(s14)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20174, 20172])).
% 1.91/2.08 tff(20176,plain,
% 1.91/2.08 (~xuntil2p8(s13)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4462, 20175])).
% 1.91/2.08 tff(20177,plain,
% 1.91/2.08 (~until2p7(s13)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4502, 20176])).
% 1.91/2.08 tff(20178,plain,
% 1.91/2.08 (~trans(s99, s13)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4734, 20177, 16380])).
% 1.91/2.08 tff(20179,plain,
% 1.91/2.08 (~xuntil2p8(s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4507, 20177])).
% 1.91/2.08 tff(20180,plain,
% 1.91/2.08 (~m_main_v_state(s13, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4492, 3154, 20151])).
% 1.91/2.08 tff(20181,assumption,(~m_main_v_state(s13, c_busy)), introduced(assumption)).
% 1.91/2.08 tff(20182,plain,
% 1.91/2.08 (until2p7(s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[5020, 5012, 4303])).
% 1.91/2.08 tff(20183,assumption,(~xuntil2p8(s12)), introduced(assumption)).
% 1.91/2.08 tff(20184,plain,
% 1.91/2.08 (node4(s12) | (~until2p7(s12))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4514, 3051, 20183])).
% 1.91/2.08 tff(20185,plain,
% 1.91/2.08 (node4(s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20184, 20182])).
% 1.91/2.08 tff(20186,plain,
% 1.91/2.08 (m_main_v_request(s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7116, 3141, 20185])).
% 1.91/2.08 tff(20187,plain,
% 1.91/2.08 (~m_main_v_state(s12, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7125, 20186, 20181])).
% 1.91/2.08 tff(20188,plain,
% 1.91/2.08 (always3(s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6218, 5012])).
% 1.91/2.08 tff(20189,plain,
% 1.91/2.08 (~m_main_v_state(s12, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7080, 3154, 20188])).
% 1.91/2.08 tff(20190,plain,
% 1.91/2.08 ($false),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7084, 19, 20189, 20187])).
% 1.91/2.08 tff(20191,plain,((~trans(s99, s12)) | m_main_v_state(s13, c_busy) | xuntil2p8(s12) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.08 tff(20192,plain,
% 1.91/2.08 (~trans(s99, s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20191, 20180, 20179, 16380])).
% 1.91/2.08 tff(20193,plain,
% 1.91/2.08 (always3(s0)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6308, 5179])).
% 1.91/2.08 tff(20194,plain,
% 1.91/2.08 (always3(s1)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2114, 20193])).
% 1.91/2.08 tff(20195,plain,
% 1.91/2.08 (always3(s2)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2098, 20194])).
% 1.91/2.08 tff(20196,plain,
% 1.91/2.08 (always3(s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2086, 20195])).
% 1.91/2.08 tff(20197,plain,
% 1.91/2.08 (~m_main_v_state(s3, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6754, 3154, 20196])).
% 1.91/2.08 tff(20198,plain,
% 1.91/2.08 (~m_main_v_state(s2, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6790, 3154, 20195])).
% 1.91/2.08 tff(20199,plain,
% 1.91/2.08 (m_main_v_state(s2, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6794, 19, 20198])).
% 1.91/2.08 tff(20200,plain,
% 1.91/2.08 (~m_main_v_request(s2)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6803, 20199, 20197])).
% 1.91/2.08 tff(20201,plain,
% 1.91/2.08 (~node4(s2)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6807, 3141, 20200])).
% 1.91/2.08 tff(20202,plain,
% 1.91/2.08 (~m_main_v_state(s1, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6727, 3154, 20194])).
% 1.91/2.08 tff(20203,plain,
% 1.91/2.08 (m_main_v_state(s1, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6830, 19, 20202])).
% 1.91/2.08 tff(20204,plain,
% 1.91/2.08 (~m_main_v_request(s1)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6824, 20203, 20198])).
% 1.91/2.08 tff(20205,plain,
% 1.91/2.08 (~node4(s1)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6815, 3141, 20204])).
% 1.91/2.08 tff(20206,plain,
% 1.91/2.08 (until2p7(s0)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[5187, 5179, 4303])).
% 1.91/2.08 tff(20207,plain,
% 1.91/2.08 (xuntil2p8(s0) | (~until2p7(s0))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[5175, 3051, 6729])).
% 1.91/2.08 tff(20208,plain,
% 1.91/2.08 (xuntil2p8(s0)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20207, 20206])).
% 1.91/2.08 tff(20209,plain,
% 1.91/2.08 (until2p7(s1)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[5169, 20208])).
% 1.91/2.08 tff(20210,plain,
% 1.91/2.08 (node4(s1) | xuntil2p8(s1)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[5163, 3051, 20209])).
% 1.91/2.08 tff(20211,plain,
% 1.91/2.08 (xuntil2p8(s1)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20210, 20205])).
% 1.91/2.08 tff(20212,plain,
% 1.91/2.08 (until2p7(s2)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[5157, 20211])).
% 1.91/2.08 tff(20213,plain,
% 1.91/2.08 (xuntil2p8(s2)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4667, 3051, 20212, 20201])).
% 1.91/2.08 tff(20214,plain,
% 1.91/2.08 (until2p7(s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4661, 20213])).
% 1.91/2.08 tff(20215,plain,
% 1.91/2.08 (always3(s4)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2074, 20196])).
% 1.91/2.08 tff(20216,plain,
% 1.91/2.08 (~m_main_v_state(s4, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6694, 3154, 20215])).
% 1.91/2.08 tff(20217,plain,
% 1.91/2.08 (m_main_v_state(s3, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6758, 19, 20197])).
% 1.91/2.08 tff(20218,plain,
% 1.91/2.08 (~m_main_v_request(s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6767, 20217, 20216])).
% 1.91/2.08 tff(20219,plain,
% 1.91/2.08 (~node4(s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6771, 3141, 20218])).
% 1.91/2.08 tff(20220,plain,
% 1.91/2.08 (xuntil2p8(s3) | (~until2p7(s3))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4655, 3051, 20219])).
% 1.91/2.08 tff(20221,plain,
% 1.91/2.08 (xuntil2p8(s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20220, 20214])).
% 1.91/2.08 tff(20222,plain,
% 1.91/2.08 (until2p7(s4)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4649, 20221])).
% 1.91/2.08 tff(20223,plain,
% 1.91/2.08 (always3(s5)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2062, 20215])).
% 1.91/2.08 tff(20224,plain,
% 1.91/2.08 (~m_main_v_state(s5, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6671, 3154, 20223])).
% 1.91/2.08 tff(20225,plain,
% 1.91/2.08 (m_main_v_state(s4, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6698, 19, 20216])).
% 1.91/2.08 tff(20226,plain,
% 1.91/2.08 (~m_main_v_request(s4)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6687, 20225, 20224])).
% 1.91/2.08 tff(20227,plain,
% 1.91/2.08 (~node4(s4)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6678, 3141, 20226])).
% 1.91/2.08 tff(20228,plain,
% 1.91/2.08 (xuntil2p8(s4) | (~until2p7(s4))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4643, 3051, 20227])).
% 1.91/2.08 tff(20229,plain,
% 1.91/2.08 (xuntil2p8(s4)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20228, 20222])).
% 1.91/2.08 tff(20230,plain,
% 1.91/2.08 (until2p7(s5)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4637, 20229])).
% 1.91/2.08 tff(20231,plain,
% 1.91/2.08 (always3(s6)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2050, 20223])).
% 1.91/2.08 tff(20232,plain,
% 1.91/2.08 (~m_main_v_state(s6, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6633, 3154, 20231])).
% 1.91/2.08 tff(20233,plain,
% 1.91/2.08 (~node4(s5)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6861, 20232])).
% 1.91/2.08 tff(20234,plain,
% 1.91/2.08 (xuntil2p8(s5) | (~until2p7(s5))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4631, 3051, 20233])).
% 1.91/2.08 tff(20235,plain,
% 1.91/2.08 (xuntil2p8(s5)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20234, 20230])).
% 1.91/2.08 tff(20236,plain,
% 1.91/2.08 (until2p7(s6)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4625, 20235])).
% 1.91/2.08 tff(20237,plain,
% 1.91/2.08 (always3(s7)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2038, 20231])).
% 1.91/2.08 tff(20238,plain,
% 1.91/2.08 (~m_main_v_state(s7, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6610, 3154, 20237])).
% 1.91/2.08 tff(20239,plain,
% 1.91/2.08 (m_main_v_state(s6, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6637, 19, 20232])).
% 1.91/2.08 tff(20240,plain,
% 1.91/2.08 (~m_main_v_request(s6)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6626, 20239, 20238])).
% 1.91/2.08 tff(20241,plain,
% 1.91/2.08 (~node4(s6)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6617, 3141, 20240])).
% 1.91/2.08 tff(20242,plain,
% 1.91/2.08 (xuntil2p8(s6) | (~until2p7(s6))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4619, 3051, 20241])).
% 1.91/2.08 tff(20243,plain,
% 1.91/2.08 (xuntil2p8(s6)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20242, 20236])).
% 1.91/2.08 tff(20244,plain,
% 1.91/2.08 (always3(s8)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2026, 20237])).
% 1.91/2.08 tff(20245,plain,
% 1.91/2.08 (always3(s9)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2014, 20244])).
% 1.91/2.08 tff(20246,plain,
% 1.91/2.08 (always3(s10)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2002, 20245])).
% 1.91/2.08 tff(20247,plain,
% 1.91/2.08 (always3(s11)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[1990, 20246])).
% 1.91/2.08 tff(20248,plain,
% 1.91/2.08 (always3(s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[1978, 20247])).
% 1.91/2.08 tff(20249,plain,
% 1.91/2.08 (~m_main_v_state(s12, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7080, 3154, 20248])).
% 1.91/2.08 tff(20250,plain,
% 1.91/2.08 (~node4(s11)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7107, 20249])).
% 1.91/2.08 tff(20251,plain,
% 1.91/2.08 (m_main_v_state(s12, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7084, 19, 20249])).
% 1.91/2.08 tff(20252,plain,
% 1.91/2.08 (~m_main_v_request(s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7125, 20251, 20181])).
% 1.91/2.08 tff(20253,plain,
% 1.91/2.08 (~node4(s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7116, 3141, 20252])).
% 1.91/2.08 tff(20254,plain,
% 1.91/2.08 (~until2p7(s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20184, 20253])).
% 1.91/2.08 tff(20255,plain,
% 1.91/2.08 (~xuntil2p8(s11)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4520, 20254])).
% 1.91/2.08 tff(20256,plain,
% 1.91/2.08 (~until2p7(s11)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4526, 3051, 20255, 20250])).
% 1.91/2.08 tff(20257,plain,
% 1.91/2.08 (~xuntil2p8(s10)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4532, 20256])).
% 1.91/2.08 tff(20258,plain,
% 1.91/2.08 (~m_main_v_state(s11, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6953, 3154, 20247])).
% 1.91/2.08 tff(20259,plain,
% 1.91/2.08 (~m_main_v_state(s10, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6960, 3154, 20246])).
% 1.91/2.08 tff(20260,plain,
% 1.91/2.08 (m_main_v_state(s10, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6964, 19, 20259])).
% 1.91/2.08 tff(20261,plain,
% 1.91/2.08 (~m_main_v_request(s10)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7005, 20260, 20258])).
% 1.91/2.08 tff(20262,plain,
% 1.91/2.08 (~node4(s10)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6996, 3141, 20261])).
% 1.91/2.08 tff(20263,plain,
% 1.91/2.08 (xuntil2p8(s10) | (~until2p7(s10))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4538, 3051, 20262])).
% 1.91/2.08 tff(20264,plain,
% 1.91/2.08 (~until2p7(s10)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20263, 20257])).
% 1.91/2.08 tff(20265,plain,
% 1.91/2.08 (~xuntil2p8(s9)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4544, 20264])).
% 1.91/2.08 tff(20266,plain,
% 1.91/2.08 (~node4(s9)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6987, 20259])).
% 1.91/2.08 tff(20267,plain,
% 1.91/2.08 (xuntil2p8(s9) | (~until2p7(s9))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4550, 3051, 20266])).
% 1.91/2.08 tff(20268,plain,
% 1.91/2.08 (~until2p7(s9)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20267, 20265])).
% 1.91/2.08 tff(20269,plain,
% 1.91/2.08 (~xuntil2p8(s8)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4589, 20268])).
% 1.91/2.08 tff(20270,plain,
% 1.91/2.08 (~m_main_v_state(s9, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6539, 3154, 20245])).
% 1.91/2.08 tff(20271,plain,
% 1.91/2.08 (~m_main_v_state(s8, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6562, 3154, 20244])).
% 1.91/2.08 tff(20272,plain,
% 1.91/2.08 (m_main_v_state(s8, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6566, 19, 20271])).
% 1.91/2.08 tff(20273,plain,
% 1.91/2.08 (~m_main_v_request(s8)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6555, 20272, 20270])).
% 1.91/2.08 tff(20274,plain,
% 1.91/2.08 (~node4(s8)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6546, 3141, 20273])).
% 1.91/2.08 tff(20275,plain,
% 1.91/2.08 (xuntil2p8(s8) | (~until2p7(s8))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4595, 3051, 20274])).
% 1.91/2.08 tff(20276,plain,
% 1.91/2.08 (~until2p7(s8)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20275, 20269])).
% 1.91/2.08 tff(20277,plain,
% 1.91/2.08 (~xuntil2p8(s7)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4601, 20276])).
% 1.91/2.08 tff(20278,plain,
% 1.91/2.08 (~node4(s7)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6889, 20271])).
% 1.91/2.08 tff(20279,plain,
% 1.91/2.08 (xuntil2p8(s7) | (~until2p7(s7))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4607, 3051, 20278])).
% 1.91/2.08 tff(20280,plain,
% 1.91/2.08 (~until2p7(s7)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20279, 20277])).
% 1.91/2.08 tff(20281,plain,
% 1.91/2.08 ($false),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4613, 20280, 20243])).
% 1.91/2.08 tff(20282,plain,((~trans(s99, s0)) | xuntil2p8(s12) | m_main_v_state(s13, c_busy) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.08 tff(20283,plain,
% 1.91/2.08 (~trans(s99, s0)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20282, 20179, 20180, 16380])).
% 1.91/2.08 tff(20284,plain,
% 1.91/2.08 (always3(s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6319, 5190])).
% 1.91/2.08 tff(20285,plain,
% 1.91/2.08 (always3(s4)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2074, 20284])).
% 1.91/2.08 tff(20286,plain,
% 1.91/2.08 (always3(s5)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2062, 20285])).
% 1.91/2.08 tff(20287,plain,
% 1.91/2.08 (~m_main_v_state(s5, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6671, 3154, 20286])).
% 1.91/2.08 tff(20288,plain,
% 1.91/2.08 (~m_main_v_state(s4, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6694, 3154, 20285])).
% 1.91/2.08 tff(20289,plain,
% 1.91/2.08 (m_main_v_state(s4, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6698, 19, 20288])).
% 1.91/2.08 tff(20290,plain,
% 1.91/2.08 (~m_main_v_request(s4)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6687, 20289, 20287])).
% 1.91/2.08 tff(20291,plain,
% 1.91/2.08 (~node4(s4)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6678, 3141, 20290])).
% 1.91/2.08 tff(20292,plain,
% 1.91/2.08 (~m_main_v_state(s3, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6754, 3154, 20284])).
% 1.91/2.08 tff(20293,plain,
% 1.91/2.08 (m_main_v_state(s3, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6758, 19, 20292])).
% 1.91/2.08 tff(20294,plain,
% 1.91/2.08 (~m_main_v_request(s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6767, 20293, 20288])).
% 1.91/2.08 tff(20295,plain,
% 1.91/2.08 (~node4(s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6771, 3141, 20294])).
% 1.91/2.08 tff(20296,plain,
% 1.91/2.08 (until2p7(s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[5198, 5190, 4303])).
% 1.91/2.08 tff(20297,plain,
% 1.91/2.08 (node4(s3) | xuntil2p8(s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4655, 3051, 20296])).
% 1.91/2.08 tff(20298,plain,
% 1.91/2.08 (xuntil2p8(s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20297, 20295])).
% 1.91/2.08 tff(20299,plain,
% 1.91/2.08 (until2p7(s4)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4649, 20298])).
% 1.91/2.08 tff(20300,plain,
% 1.91/2.08 (xuntil2p8(s4)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4643, 3051, 20299, 20291])).
% 1.91/2.08 tff(20301,plain,
% 1.91/2.08 (until2p7(s5)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4637, 20300])).
% 1.91/2.08 tff(20302,plain,
% 1.91/2.08 (always3(s6)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2050, 20286])).
% 1.91/2.08 tff(20303,plain,
% 1.91/2.08 (~m_main_v_state(s6, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6633, 3154, 20302])).
% 1.91/2.08 tff(20304,plain,
% 1.91/2.08 (~node4(s5)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6861, 20303])).
% 1.91/2.08 tff(20305,plain,
% 1.91/2.08 (xuntil2p8(s5) | (~until2p7(s5))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4631, 3051, 20304])).
% 1.91/2.08 tff(20306,plain,
% 1.91/2.08 (xuntil2p8(s5)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20305, 20301])).
% 1.91/2.08 tff(20307,plain,
% 1.91/2.08 (until2p7(s6)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4625, 20306])).
% 1.91/2.08 tff(20308,plain,
% 1.91/2.08 (always3(s7)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2038, 20302])).
% 1.91/2.08 tff(20309,plain,
% 1.91/2.08 (~m_main_v_state(s7, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6610, 3154, 20308])).
% 1.91/2.08 tff(20310,plain,
% 1.91/2.08 (m_main_v_state(s6, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6637, 19, 20303])).
% 1.91/2.08 tff(20311,plain,
% 1.91/2.08 (~m_main_v_request(s6)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6626, 20310, 20309])).
% 1.91/2.08 tff(20312,plain,
% 1.91/2.08 (~node4(s6)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6617, 3141, 20311])).
% 1.91/2.08 tff(20313,plain,
% 1.91/2.08 (xuntil2p8(s6) | (~until2p7(s6))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4619, 3051, 20312])).
% 1.91/2.08 tff(20314,plain,
% 1.91/2.08 (xuntil2p8(s6)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20313, 20307])).
% 1.91/2.08 tff(20315,plain,
% 1.91/2.08 (until2p7(s7)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4613, 20314])).
% 1.91/2.08 tff(20316,plain,
% 1.91/2.08 (always3(s8)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2026, 20308])).
% 1.91/2.08 tff(20317,plain,
% 1.91/2.08 (~m_main_v_state(s8, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6562, 3154, 20316])).
% 1.91/2.08 tff(20318,plain,
% 1.91/2.08 (~node4(s7)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6889, 20317])).
% 1.91/2.08 tff(20319,plain,
% 1.91/2.08 (xuntil2p8(s7) | (~until2p7(s7))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4607, 3051, 20318])).
% 1.91/2.08 tff(20320,plain,
% 1.91/2.08 (xuntil2p8(s7)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20319, 20315])).
% 1.91/2.08 tff(20321,plain,
% 1.91/2.08 (always3(s9)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2014, 20316])).
% 1.91/2.08 tff(20322,plain,
% 1.91/2.08 (always3(s10)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2002, 20321])).
% 1.91/2.08 tff(20323,plain,
% 1.91/2.08 (always3(s11)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[1990, 20322])).
% 1.91/2.08 tff(20324,plain,
% 1.91/2.08 (always3(s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[1978, 20323])).
% 1.91/2.08 tff(20325,plain,
% 1.91/2.08 (~m_main_v_state(s12, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7080, 3154, 20324])).
% 1.91/2.08 tff(20326,plain,
% 1.91/2.08 (~node4(s11)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7107, 20325])).
% 1.91/2.08 tff(20327,plain,
% 1.91/2.08 (m_main_v_state(s12, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7084, 19, 20325])).
% 1.91/2.08 tff(20328,plain,
% 1.91/2.08 (~m_main_v_request(s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7125, 20327, 20181])).
% 1.91/2.08 tff(20329,plain,
% 1.91/2.08 (~node4(s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7116, 3141, 20328])).
% 1.91/2.08 tff(20330,plain,
% 1.91/2.08 (~until2p7(s12)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20184, 20329])).
% 1.91/2.08 tff(20331,plain,
% 1.91/2.08 (~xuntil2p8(s11)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4520, 20330])).
% 1.91/2.08 tff(20332,plain,
% 1.91/2.08 (~until2p7(s11)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4526, 3051, 20331, 20326])).
% 1.91/2.08 tff(20333,plain,
% 1.91/2.08 (~xuntil2p8(s10)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4532, 20332])).
% 1.91/2.08 tff(20334,plain,
% 1.91/2.08 (~m_main_v_state(s11, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6953, 3154, 20323])).
% 1.91/2.08 tff(20335,plain,
% 1.91/2.08 (~m_main_v_state(s10, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6960, 3154, 20322])).
% 1.91/2.08 tff(20336,plain,
% 1.91/2.08 (m_main_v_state(s10, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6964, 19, 20335])).
% 1.91/2.08 tff(20337,plain,
% 1.91/2.08 (~m_main_v_request(s10)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[7005, 20336, 20334])).
% 1.91/2.08 tff(20338,plain,
% 1.91/2.08 (~node4(s10)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6996, 3141, 20337])).
% 1.91/2.08 tff(20339,plain,
% 1.91/2.08 (xuntil2p8(s10) | (~until2p7(s10))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4538, 3051, 20338])).
% 1.91/2.08 tff(20340,plain,
% 1.91/2.08 (~until2p7(s10)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20339, 20333])).
% 1.91/2.08 tff(20341,plain,
% 1.91/2.08 (~xuntil2p8(s9)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4544, 20340])).
% 1.91/2.08 tff(20342,plain,
% 1.91/2.08 (~node4(s9)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6987, 20335])).
% 1.91/2.08 tff(20343,plain,
% 1.91/2.08 (xuntil2p8(s9) | (~until2p7(s9))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4550, 3051, 20342])).
% 1.91/2.08 tff(20344,plain,
% 1.91/2.08 (~until2p7(s9)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20343, 20341])).
% 1.91/2.08 tff(20345,plain,
% 1.91/2.08 (~xuntil2p8(s8)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4589, 20344])).
% 1.91/2.08 tff(20346,plain,
% 1.91/2.08 (~m_main_v_state(s9, c_busy)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6539, 3154, 20321])).
% 1.91/2.08 tff(20347,plain,
% 1.91/2.08 (m_main_v_state(s8, c_ready)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6566, 19, 20317])).
% 1.91/2.08 tff(20348,plain,
% 1.91/2.08 (~m_main_v_request(s8)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6555, 20347, 20346])).
% 1.91/2.08 tff(20349,plain,
% 1.91/2.08 (~node4(s8)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6546, 3141, 20348])).
% 1.91/2.08 tff(20350,plain,
% 1.91/2.08 (xuntil2p8(s8) | (~until2p7(s8))),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4595, 3051, 20349])).
% 1.91/2.08 tff(20351,plain,
% 1.91/2.08 (~until2p7(s8)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20350, 20345])).
% 1.91/2.08 tff(20352,plain,
% 1.91/2.08 ($false),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4601, 20351, 20320])).
% 1.91/2.08 tff(20353,plain,((~trans(s99, s3)) | xuntil2p8(s12) | m_main_v_state(s13, c_busy) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.08 tff(20354,plain,
% 1.91/2.08 (~trans(s99, s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[20353, 20179, 20180, 16380])).
% 1.91/2.08 tff(20355,plain,
% 1.91/2.08 (~trans(s99, s72)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[5119, 17737, 16380])).
% 1.91/2.08 tff(20356,plain,
% 1.91/2.08 (~trans(s99, s99)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[4932, 16380, 8442])).
% 1.91/2.08 tff(20357,plain,
% 1.91/2.08 (~trans(s99, s71)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[5220, 17741, 16380])).
% 1.91/2.08 tff(20358,plain,
% 1.91/2.08 (~trans(s99, s70)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[5418, 17743, 16380])).
% 1.91/2.08 tff(20359,plain,
% 1.91/2.08 (~always3(s10)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[1990, 6143])).
% 1.91/2.08 tff(20360,plain,
% 1.91/2.08 (~always3(s9)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2002, 20359])).
% 1.91/2.08 tff(20361,plain,
% 1.91/2.08 (~always3(s8)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2014, 20360])).
% 1.91/2.08 tff(20362,plain,
% 1.91/2.08 (~always3(s7)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2026, 20361])).
% 1.91/2.08 tff(20363,plain,
% 1.91/2.08 (~always3(s6)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2038, 20362])).
% 1.91/2.08 tff(20364,plain,
% 1.91/2.08 (~always3(s5)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2050, 20363])).
% 1.91/2.08 tff(20365,plain,
% 1.91/2.08 (~always3(s4)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2062, 20364])).
% 1.91/2.08 tff(20366,plain,
% 1.91/2.08 (~always3(s3)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2074, 20365])).
% 1.91/2.08 tff(20367,plain,
% 1.91/2.08 (~always3(s2)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[2086, 20366])).
% 1.91/2.08 tff(20368,plain,
% 1.91/2.08 (~trans(s99, s5)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6163, 20364])).
% 1.91/2.08 tff(20369,plain,
% 1.91/2.08 (~trans(s99, s6)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6473, 20363])).
% 1.91/2.08 tff(20370,plain,
% 1.91/2.08 (~trans(s99, s8)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6273, 20361])).
% 1.91/2.08 tff(20371,plain,
% 1.91/2.08 (~trans(s99, s10)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[6207, 20359])).
% 1.91/2.08 tff(20372,plain,
% 1.91/2.08 (~until2p7(s98)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[13249, 12046])).
% 1.91/2.08 tff(20373,plain,
% 1.91/2.08 (~xuntil2p8(s97)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3090, 20372])).
% 1.91/2.08 tff(20374,plain,
% 1.91/2.08 (~until2p7(s97)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[13256, 20373])).
% 1.91/2.08 tff(20375,plain,
% 1.91/2.08 (~xuntil2p8(s96)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3099, 20374])).
% 1.91/2.08 tff(20376,plain,
% 1.91/2.08 (~until2p7(s96)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[13263, 20375])).
% 1.91/2.08 tff(20377,plain,
% 1.91/2.08 (~xuntil2p8(s95)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3110, 20376])).
% 1.91/2.08 tff(20378,plain,
% 1.91/2.08 (~until2p7(s95)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[13270, 20377])).
% 1.91/2.08 tff(20379,plain,
% 1.91/2.08 (~xuntil2p8(s94)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3121, 20378])).
% 1.91/2.08 tff(20380,plain,
% 1.91/2.08 (~until2p7(s94)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[13277, 20379])).
% 1.91/2.08 tff(20381,plain,
% 1.91/2.08 (~xuntil2p8(s93)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3132, 20380])).
% 1.91/2.08 tff(20382,plain,
% 1.91/2.08 (~until2p7(s93)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3196, 20381])).
% 1.91/2.08 tff(20383,plain,
% 1.91/2.08 (~xuntil2p8(s92)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3201, 20382])).
% 1.91/2.08 tff(20384,plain,
% 1.91/2.08 (~until2p7(s92)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[13287, 20383])).
% 1.91/2.08 tff(20385,plain,
% 1.91/2.08 (~xuntil2p8(s91)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3212, 20384])).
% 1.91/2.08 tff(20386,plain,
% 1.91/2.08 (~until2p7(s91)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[13291, 20385])).
% 1.91/2.08 tff(20387,plain,
% 1.91/2.08 (~xuntil2p8(s90)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3224, 20386])).
% 1.91/2.08 tff(20388,plain,
% 1.91/2.08 (~until2p7(s90)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[13299, 20387])).
% 1.91/2.08 tff(20389,plain,
% 1.91/2.08 (~xuntil2p8(s89)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3236, 20388])).
% 1.91/2.08 tff(20390,plain,
% 1.91/2.08 (~until2p7(s89)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[13306, 20389])).
% 1.91/2.08 tff(20391,plain,
% 1.91/2.08 (~xuntil2p8(s88)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3248, 20390])).
% 1.91/2.08 tff(20392,plain,
% 1.91/2.08 (~until2p7(s88)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[13313, 20391])).
% 1.91/2.08 tff(20393,plain,
% 1.91/2.08 (~xuntil2p8(s87)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3260, 20392])).
% 1.91/2.08 tff(20394,plain,
% 1.91/2.08 (~until2p7(s87)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[13320, 20393])).
% 1.91/2.08 tff(20395,plain,
% 1.91/2.08 (~xuntil2p8(s86)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3272, 20394])).
% 1.91/2.08 tff(20396,plain,
% 1.91/2.08 (~until2p7(s86)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[14459, 20395])).
% 1.91/2.08 tff(20397,plain,
% 1.91/2.08 (~xuntil2p8(s85)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3284, 20396])).
% 1.91/2.08 tff(20398,plain,
% 1.91/2.08 (~until2p7(s85)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[14466, 20397])).
% 1.91/2.08 tff(20399,plain,
% 1.91/2.08 (~xuntil2p8(s84)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3296, 20398])).
% 1.91/2.08 tff(20400,plain,
% 1.91/2.08 (~until2p7(s84)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[14473, 20399])).
% 1.91/2.08 tff(20401,plain,
% 1.91/2.08 (~xuntil2p8(s83)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3308, 20400])).
% 1.91/2.08 tff(20402,plain,
% 1.91/2.08 (~until2p7(s83)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[14477, 20401])).
% 1.91/2.08 tff(20403,plain,
% 1.91/2.08 (~xuntil2p8(s82)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3320, 20402])).
% 1.91/2.08 tff(20404,plain,
% 1.91/2.08 (~until2p7(s82)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[12640, 20403])).
% 1.91/2.08 tff(20405,plain,
% 1.91/2.08 (~xuntil2p8(s81)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3332, 20404])).
% 1.91/2.08 tff(20406,plain,
% 1.91/2.08 (~until2p7(s81)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[14487, 20405])).
% 1.91/2.08 tff(20407,plain,
% 1.91/2.08 (~xuntil2p8(s80)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3344, 20406])).
% 1.91/2.08 tff(20408,plain,
% 1.91/2.08 (~until2p7(s80)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[14493, 20407])).
% 1.91/2.08 tff(20409,plain,
% 1.91/2.08 (~xuntil2p8(s79)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3356, 20408])).
% 1.91/2.08 tff(20410,plain,
% 1.91/2.08 (~until2p7(s79)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[14500, 20409])).
% 1.91/2.08 tff(20411,plain,
% 1.91/2.08 (~xuntil2p8(s78)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3368, 20410])).
% 1.91/2.08 tff(20412,plain,
% 1.91/2.08 (~until2p7(s78)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[14507, 20411])).
% 1.91/2.08 tff(20413,plain,
% 1.91/2.08 (~xuntil2p8(s77)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3380, 20412])).
% 1.91/2.08 tff(20414,plain,
% 1.91/2.08 (~until2p7(s77)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[14513, 20413])).
% 1.91/2.08 tff(20415,plain,
% 1.91/2.08 (~xuntil2p8(s76)),
% 1.91/2.08 inference(unit_resolution,[status(thm)],[3392, 20414])).
% 1.91/2.09 tff(20416,plain,
% 1.91/2.09 (~until2p7(s76)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[14516, 20415])).
% 1.91/2.09 tff(20417,plain,
% 1.91/2.09 (~trans(s99, s76)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4712, 20416, 4303])).
% 1.91/2.09 tff(20418,plain,
% 1.91/2.09 (~trans(s99, s79)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[5484, 20410, 4303])).
% 1.91/2.09 tff(20419,plain,
% 1.91/2.09 (~xuntil2p8(s75)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[3404, 20416])).
% 1.91/2.09 tff(20420,plain,
% 1.91/2.09 (~until2p7(s75)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[14520, 20419])).
% 1.91/2.09 tff(20421,plain,
% 1.91/2.09 (~xuntil2p8(s74)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[3416, 20420])).
% 1.91/2.09 tff(20422,plain,
% 1.91/2.09 (~trans(s99, s74)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[14534, 20421, 4303])).
% 1.91/2.09 tff(20423,plain,
% 1.91/2.09 (~trans(s99, s11)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6152, 6143])).
% 1.91/2.09 tff(20424,plain,
% 1.91/2.09 (~trans(s99, s75)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[5097, 20420, 4303])).
% 1.91/2.09 tff(20425,plain,
% 1.91/2.09 (~trans(s99, s78)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[5374, 20412, 4303])).
% 1.91/2.09 tff(20426,plain,
% 1.91/2.09 (~trans(s99, s77)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[14718, 20411, 4303])).
% 1.91/2.09 tff(20427,plain,
% 1.91/2.09 (~trans(s99, s4)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6043, 20365])).
% 1.91/2.09 tff(20428,plain,
% 1.91/2.09 ((~xuntil6(s99)) | trans(s99, s9) | trans(s99, s99) | trans(s99, s33) | trans(s99, s46) | trans(s99, s6) | trans(s99, s79) | trans(s99, s31) | trans(s99, s64) | trans(s99, s63) | trans(s99, s21) | trans(s99, s49) | trans(s99, s70) | trans(s99, s16) | trans(s99, s40) | trans(s99, s29) | trans(s99, s78) | trans(s99, s1) | trans(s99, s59) | trans(s99, s7) | trans(s99, s60) | trans(s99, s17) | trans(s99, s57) | trans(s99, s14) | trans(s99, s32) | trans(s99, s55) | trans(s99, s52) | trans(s99, s24) | trans(s99, s27) | trans(s99, s66) | trans(s99, s71) | trans(s99, s23) | trans(s99, s3) | trans(s99, s0) | trans(s99, s30) | trans(s99, s35) | trans(s99, s72) | trans(s99, s8) | trans(s99, s75) | trans(s99, s26) | trans(s99, s68) | trans(s99, s45) | trans(s99, s18) | trans(s99, s51) | trans(s99, s65) | trans(s99, s12) | trans(s99, s50) | trans(s99, s56) | trans(s99, s62) | trans(s99, s10) | trans(s99, s43) | trans(s99, s69) | trans(s99, s36) | trans(s99, s20) | trans(s99, s5) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s73) | trans(s99, s25) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s77) | trans(s99, s76) | trans(s99, s37) | trans(s99, s4) | trans(s99, s2) | trans(s99, s38) | trans(s99, s74) | trans(s99, s44) | trans(s99, s67) | trans(s99, s19) | trans(s99, s61) | trans(s99, s41) | trans(s99, s54) | trans(s99, s58) | trans(s99, s39) | trans(s99, s48) | trans(s99, s15) | xuntil2p8(s98)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[12791, 13245])).
% 1.91/2.09 tff(20429,plain,
% 1.91/2.09 (trans(s99, s2)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20428, 20427, 4303, 12046, 20426, 8428, 8272, 10897, 8260, 9503, 9506, 8429, 10899, 20425, 8351, 8229, 8227, 9519, 8423, 10888, 8277, 10885, 8300, 10898, 8281, 8358, 10883, 9520, 8426, 8425, 9510, 9511, 8383, 8427, 8420, 8355, 8354, 10894, 8408, 20424, 8421, 9508, 8396, 8384, 9517, 10895, 8299, 9513, 9502, 9501, 8357, 8301, 9499, 8359, 8356, 8338, 20423, 8296, 8295, 8294, 10892, 20422, 8360, 8280, 8279, 8278, 20418, 20417, 8352, 20371, 20370, 8274, 10891, 8273, 10886, 8350, 9507, 20369, 9516, 9515, 20368, 8228, 8422])).
% 1.91/2.09 tff(20430,plain,
% 1.91/2.09 ($false),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6032, 20429, 20367])).
% 1.91/2.09 tff(20431,plain,(always3(s11) | (~xuntil6(s99)) | xuntil2p8(s98) | trans(s99, s9) | trans(s99, s19) | trans(s99, s49) | trans(s99, s41) | trans(s99, s50) | trans(s99, s65) | trans(s99, s46) | trans(s99, s64) | trans(s99, s45) | trans(s99, s39) | trans(s99, s15) | trans(s99, s70) | trans(s99, s16) | trans(s99, s61) | trans(s99, s37) | trans(s99, s54) | trans(s99, s36) | trans(s99, s63) | trans(s99, s25) | trans(s99, s23) | trans(s99, s58) | trans(s99, s52) | trans(s99, s21) | trans(s99, s33) | trans(s99, s71) | trans(s99, s66) | trans(s99, s32) | trans(s99, s31) | trans(s99, s1) | trans(s99, s30) | trans(s99, s35) | trans(s99, s99) | trans(s99, s7) | trans(s99, s29) | trans(s99, s68) | trans(s99, s17) | trans(s99, s14) | trans(s99, s59) | trans(s99, s72) | trans(s99, s20) | trans(s99, s55) | trans(s99, s56) | trans(s99, s62) | trans(s99, s3) | trans(s99, s43) | trans(s99, s69) | trans(s99, s27) | trans(s99, s0) | trans(s99, s12) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s24) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s26) | trans(s99, s38) | trans(s99, s73) | trans(s99, s44) | trans(s99, s67) | trans(s99, s18) | trans(s99, s51) | trans(s99, s60) | trans(s99, s57) | trans(s99, s48) | trans(s99, s40)), inference(lemma,lemma(discharge,[]))).
% 1.91/2.09 tff(20432,plain,
% 1.91/2.09 (always3(s11)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20431, 16380, 8443, 18395, 18138, 18683, 17885, 18684, 18680, 18678, 18681, 18677, 18676, 18957, 20358, 19289, 18679, 19148, 18642, 19373, 18641, 20069, 20068, 18640, 18639, 20067, 20066, 20357, 18682, 20065, 20064, 20063, 19921, 19920, 20356, 19919, 19824, 18638, 19823, 19789, 18637, 20355, 19739, 18635, 18634, 18633, 20354, 18777, 18636, 19722, 20283, 20192, 19721, 19720, 19719, 18632, 19691, 18497, 18776, 20178, 19690, 19135, 20124, 18631, 17754, 20123, 17829, 17828, 17827, 17826, 19050])).
% 1.91/2.09 tff(20433,plain,
% 1.91/2.09 (~m_main_v_state(s11, c_busy)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6953, 3154, 20432])).
% 1.91/2.09 tff(20434,plain,
% 1.91/2.09 (always3(s12)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[1978, 20432])).
% 1.91/2.09 tff(20435,plain,
% 1.91/2.09 (~m_main_v_state(s12, c_busy)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[7080, 3154, 20434])).
% 1.91/2.09 tff(20436,plain,
% 1.91/2.09 (~node4(s11)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[7107, 20435])).
% 1.91/2.09 tff(20437,plain,
% 1.91/2.09 (m_main_v_state(s12, c_ready)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[7084, 19, 20435])).
% 1.91/2.09 tff(20438,plain,
% 1.91/2.09 (~m_main_v_request(s12)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[7125, 20437, 20180])).
% 1.91/2.09 tff(20439,plain,
% 1.91/2.09 (~node4(s12)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[7116, 3141, 20438])).
% 1.91/2.09 tff(20440,plain,
% 1.91/2.09 (node4(s12) | (~until2p7(s12))),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4514, 3051, 20179])).
% 1.91/2.09 tff(20441,plain,
% 1.91/2.09 (~until2p7(s12)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20440, 20439])).
% 1.91/2.09 tff(20442,plain,
% 1.91/2.09 (~xuntil2p8(s11)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4520, 20441])).
% 1.91/2.09 tff(20443,plain,
% 1.91/2.09 (~until2p7(s11)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4526, 3051, 20442, 20436])).
% 1.91/2.09 tff(20444,plain,
% 1.91/2.09 (~trans(s99, s11)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4855, 20443, 16380])).
% 1.91/2.09 tff(20445,plain,
% 1.91/2.09 (~trans(s99, s5)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6163, 6918])).
% 1.91/2.09 tff(20446,plain,
% 1.91/2.09 (~trans(s99, s6)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6473, 6913])).
% 1.91/2.09 tff(20447,plain,
% 1.91/2.09 (~trans(s99, s8)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6273, 6903])).
% 1.91/2.09 tff(20448,plain,
% 1.91/2.09 (~trans(s99, s10)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6207, 6198])).
% 1.91/2.09 tff(20449,plain,
% 1.91/2.09 (~trans(s99, s4)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6043, 6919])).
% 1.91/2.09 tff(20450,plain,
% 1.91/2.09 (trans(s99, s2)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20428, 20449, 4303, 12046, 20426, 8428, 8272, 10897, 8260, 9503, 9506, 8429, 10899, 20425, 8351, 8229, 8227, 9519, 8423, 10888, 8277, 10885, 8300, 10898, 8281, 8358, 10883, 9520, 8426, 8425, 9510, 9511, 8383, 8427, 8420, 8355, 8354, 10894, 8408, 20424, 8421, 9508, 8396, 8384, 9517, 10895, 8299, 9513, 9502, 9501, 8357, 8301, 9499, 8359, 8356, 8338, 8297, 8296, 8295, 8294, 10892, 20422, 8360, 8280, 8279, 8278, 20418, 20417, 8352, 20448, 20447, 8274, 10891, 8273, 10886, 8350, 9507, 20446, 9516, 9515, 20445, 8228, 8422])).
% 1.91/2.09 tff(20451,plain,
% 1.91/2.09 ($false),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6032, 20450, 6921])).
% 1.91/2.09 tff(20452,plain,(always3(s10) | (~xuntil6(s99)) | xuntil2p8(s98) | trans(s99, s9) | trans(s99, s19) | trans(s99, s49) | trans(s99, s41) | trans(s99, s50) | trans(s99, s65) | trans(s99, s46) | trans(s99, s64) | trans(s99, s45) | trans(s99, s39) | trans(s99, s15) | trans(s99, s70) | trans(s99, s16) | trans(s99, s61) | trans(s99, s37) | trans(s99, s54) | trans(s99, s36) | trans(s99, s63) | trans(s99, s25) | trans(s99, s23) | trans(s99, s58) | trans(s99, s52) | trans(s99, s21) | trans(s99, s33) | trans(s99, s71) | trans(s99, s66) | trans(s99, s32) | trans(s99, s31) | trans(s99, s1) | trans(s99, s30) | trans(s99, s35) | trans(s99, s99) | trans(s99, s7) | trans(s99, s29) | trans(s99, s68) | trans(s99, s17) | trans(s99, s14) | trans(s99, s59) | trans(s99, s72) | trans(s99, s20) | trans(s99, s55) | trans(s99, s56) | trans(s99, s62) | trans(s99, s3) | trans(s99, s43) | trans(s99, s69) | trans(s99, s27) | trans(s99, s0) | trans(s99, s12) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s24) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s26) | trans(s99, s38) | trans(s99, s73) | trans(s99, s44) | trans(s99, s67) | trans(s99, s18) | trans(s99, s51) | trans(s99, s60) | trans(s99, s57) | trans(s99, s48) | trans(s99, s40)), inference(lemma,lemma(discharge,[]))).
% 1.91/2.09 tff(20453,plain,
% 1.91/2.09 (always3(s10)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20452, 16380, 8443, 18395, 18138, 18683, 17885, 18684, 18680, 18678, 18681, 18677, 18676, 18957, 20358, 19289, 18679, 19148, 18642, 19373, 18641, 20069, 20068, 18640, 18639, 20067, 20066, 20357, 18682, 20065, 20064, 20063, 19921, 19920, 20356, 19919, 19824, 18638, 19823, 19789, 18637, 20355, 19739, 18635, 18634, 18633, 20354, 18777, 18636, 19722, 20283, 20192, 20444, 19721, 19720, 19719, 18632, 19691, 18497, 18776, 20178, 19690, 19135, 20124, 18631, 17754, 20123, 17829, 17828, 17827, 17826, 19050])).
% 1.91/2.09 tff(20454,plain,
% 1.91/2.09 (~m_main_v_state(s10, c_busy)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6960, 3154, 20453])).
% 1.91/2.09 tff(20455,plain,
% 1.91/2.09 (m_main_v_state(s10, c_ready)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6964, 19, 20454])).
% 1.91/2.09 tff(20456,plain,
% 1.91/2.09 (~m_main_v_request(s10)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[7005, 20455, 20433])).
% 1.91/2.09 tff(20457,plain,
% 1.91/2.09 (~node4(s10)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6996, 3141, 20456])).
% 1.91/2.09 tff(20458,plain,
% 1.91/2.09 (~xuntil2p8(s10)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4532, 20443])).
% 1.91/2.09 tff(20459,plain,
% 1.91/2.09 (node4(s10) | (~until2p7(s10))),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4538, 3051, 20458])).
% 1.91/2.09 tff(20460,plain,
% 1.91/2.09 (~until2p7(s10)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20459, 20457])).
% 1.91/2.09 tff(20461,plain,
% 1.91/2.09 (~trans(s99, s10)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4965, 20460, 16380])).
% 1.91/2.09 tff(20462,plain,
% 1.91/2.09 (~trans(s99, s5)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6163, 6504])).
% 1.91/2.09 tff(20463,plain,
% 1.91/2.09 (~trans(s99, s6)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6473, 6499])).
% 1.91/2.09 tff(20464,plain,
% 1.91/2.09 (~trans(s99, s8)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6273, 6264])).
% 1.91/2.09 tff(20465,plain,
% 1.91/2.09 (~trans(s99, s4)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6043, 6509])).
% 1.91/2.09 tff(20466,plain,
% 1.91/2.09 (trans(s99, s2)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20428, 20465, 4303, 12046, 20426, 8428, 8272, 10897, 8260, 9503, 9506, 8429, 10899, 20425, 8351, 8229, 8227, 9519, 8423, 10888, 8277, 10885, 8300, 10898, 8281, 8358, 10883, 9520, 8426, 8425, 9510, 9511, 8383, 8427, 8420, 8355, 8354, 10894, 8408, 20424, 8421, 9508, 8396, 8384, 9517, 10895, 8299, 9513, 9502, 9501, 8357, 8301, 9499, 8359, 8356, 8338, 8297, 8296, 8295, 8294, 10892, 20422, 8360, 8280, 8279, 8278, 20418, 20417, 8352, 8302, 20464, 8274, 10891, 8273, 10886, 8350, 9507, 20463, 9516, 9515, 20462, 8228, 8422])).
% 1.91/2.09 tff(20467,plain,
% 1.91/2.09 ($false),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6032, 20466, 6511])).
% 1.91/2.09 tff(20468,plain,(always3(s8) | (~xuntil6(s99)) | xuntil2p8(s98) | trans(s99, s9) | trans(s99, s19) | trans(s99, s49) | trans(s99, s41) | trans(s99, s50) | trans(s99, s65) | trans(s99, s46) | trans(s99, s64) | trans(s99, s45) | trans(s99, s39) | trans(s99, s15) | trans(s99, s70) | trans(s99, s16) | trans(s99, s61) | trans(s99, s37) | trans(s99, s54) | trans(s99, s36) | trans(s99, s63) | trans(s99, s25) | trans(s99, s23) | trans(s99, s58) | trans(s99, s52) | trans(s99, s21) | trans(s99, s33) | trans(s99, s71) | trans(s99, s66) | trans(s99, s32) | trans(s99, s31) | trans(s99, s1) | trans(s99, s30) | trans(s99, s35) | trans(s99, s99) | trans(s99, s7) | trans(s99, s29) | trans(s99, s68) | trans(s99, s17) | trans(s99, s14) | trans(s99, s59) | trans(s99, s72) | trans(s99, s20) | trans(s99, s55) | trans(s99, s56) | trans(s99, s62) | trans(s99, s3) | trans(s99, s43) | trans(s99, s69) | trans(s99, s27) | trans(s99, s0) | trans(s99, s12) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s24) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s26) | trans(s99, s10) | trans(s99, s38) | trans(s99, s73) | trans(s99, s44) | trans(s99, s67) | trans(s99, s18) | trans(s99, s51) | trans(s99, s60) | trans(s99, s57) | trans(s99, s48) | trans(s99, s40)), inference(lemma,lemma(discharge,[]))).
% 1.91/2.09 tff(20469,plain,
% 1.91/2.09 (always3(s8)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20468, 16380, 8443, 18395, 18138, 18683, 17885, 18684, 18680, 18678, 18681, 18677, 18676, 18957, 20358, 19289, 18679, 19148, 18642, 19373, 18641, 20069, 20068, 18640, 18639, 20067, 20066, 20357, 18682, 20065, 20064, 20063, 19921, 19920, 20356, 19919, 19824, 18638, 19823, 19789, 18637, 20355, 19739, 18635, 18634, 18633, 20354, 18777, 18636, 19722, 20283, 20192, 20444, 19721, 19720, 19719, 18632, 19691, 18497, 18776, 20178, 19690, 20461, 19135, 20124, 18631, 17754, 20123, 17829, 17828, 17827, 17826, 19050])).
% 1.91/2.09 tff(20470,plain,
% 1.91/2.09 (~m_main_v_state(s8, c_busy)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6562, 3154, 20469])).
% 1.91/2.09 tff(20471,plain,
% 1.91/2.09 (~node4(s7)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6889, 20470])).
% 1.91/2.09 tff(20472,plain,
% 1.91/2.09 (always3(s9)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[2014, 20469])).
% 1.91/2.09 tff(20473,plain,
% 1.91/2.09 (~m_main_v_state(s9, c_busy)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6539, 3154, 20472])).
% 1.91/2.09 tff(20474,plain,
% 1.91/2.09 (m_main_v_state(s8, c_ready)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6566, 19, 20470])).
% 1.91/2.09 tff(20475,plain,
% 1.91/2.09 (~m_main_v_request(s8)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6555, 20474, 20473])).
% 1.91/2.09 tff(20476,plain,
% 1.91/2.09 (~node4(s8)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6546, 3141, 20475])).
% 1.91/2.09 tff(20477,plain,
% 1.91/2.09 (~node4(s9)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6987, 20454])).
% 1.91/2.09 tff(20478,plain,
% 1.91/2.09 (~xuntil2p8(s9)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4544, 20460])).
% 1.91/2.09 tff(20479,plain,
% 1.91/2.09 (~until2p7(s9)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4550, 3051, 20478, 20477])).
% 1.91/2.09 tff(20480,plain,
% 1.91/2.09 (~xuntil2p8(s8)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4589, 20479])).
% 1.91/2.09 tff(20481,plain,
% 1.91/2.09 (node4(s8) | (~until2p7(s8))),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4595, 3051, 20480])).
% 1.91/2.09 tff(20482,plain,
% 1.91/2.09 (~until2p7(s8)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20481, 20476])).
% 1.91/2.09 tff(20483,plain,
% 1.91/2.09 (~xuntil2p8(s7)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4601, 20482])).
% 1.91/2.09 tff(20484,plain,
% 1.91/2.09 (~until2p7(s7)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4607, 3051, 20483, 20471])).
% 1.91/2.09 tff(20485,plain,
% 1.91/2.09 (~xuntil2p8(s6)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4613, 20484])).
% 1.91/2.09 tff(20486,plain,
% 1.91/2.09 (always3(s6)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6473, 5487])).
% 1.91/2.09 tff(20487,plain,
% 1.91/2.09 (always3(s7)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[2038, 20486])).
% 1.91/2.09 tff(20488,plain,
% 1.91/2.09 (~m_main_v_state(s7, c_busy)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6610, 3154, 20487])).
% 1.91/2.09 tff(20489,plain,
% 1.91/2.09 (until2p7(s6)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[5495, 5487, 4303])).
% 1.91/2.09 tff(20490,assumption,(~xuntil2p8(s6)), introduced(assumption)).
% 1.91/2.09 tff(20491,plain,
% 1.91/2.09 (node4(s6) | (~until2p7(s6))),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4619, 3051, 20490])).
% 1.91/2.09 tff(20492,plain,
% 1.91/2.09 (node4(s6)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20491, 20489])).
% 1.91/2.09 tff(20493,plain,
% 1.91/2.09 (m_main_v_request(s6)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6617, 3141, 20492])).
% 1.91/2.09 tff(20494,plain,
% 1.91/2.09 (~m_main_v_state(s6, c_ready)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6626, 20493, 20488])).
% 1.91/2.09 tff(20495,plain,
% 1.91/2.09 (~m_main_v_state(s6, c_busy)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6633, 3154, 20486])).
% 1.91/2.09 tff(20496,plain,
% 1.91/2.09 ($false),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6637, 19, 20495, 20494])).
% 1.91/2.09 tff(20497,plain,((~trans(s99, s6)) | xuntil2p8(s6) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.09 tff(20498,plain,
% 1.91/2.09 (~trans(s99, s6)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20497, 20485, 16380])).
% 1.91/2.09 tff(20499,plain,
% 1.91/2.09 (~trans(s99, s8)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[5108, 20482, 16380])).
% 1.91/2.09 tff(20500,plain,
% 1.91/2.09 (~always3(s4)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[2062, 6154])).
% 1.91/2.09 tff(20501,plain,
% 1.91/2.09 (~trans(s99, s4)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6043, 20500])).
% 1.91/2.09 tff(20502,plain,
% 1.91/2.09 (~trans(s99, s5)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6163, 6154])).
% 1.91/2.09 tff(20503,plain,
% 1.91/2.09 (trans(s99, s2)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20428, 20502, 4303, 12046, 20426, 8428, 8272, 10897, 8260, 9503, 9506, 8429, 10899, 20425, 8351, 8229, 8227, 9519, 8423, 10888, 8277, 10885, 8300, 10898, 8281, 8358, 10883, 9520, 8426, 8425, 9510, 9511, 8383, 8427, 8420, 8355, 8354, 10894, 8408, 20424, 8421, 9508, 8396, 8384, 9517, 10895, 8299, 9513, 9502, 9501, 8357, 8301, 9499, 8359, 8356, 8338, 8297, 8296, 8295, 8294, 10892, 20422, 8360, 8280, 8279, 8278, 20418, 20417, 8352, 8302, 8353, 8274, 10891, 8273, 10886, 8350, 9507, 8424, 9516, 9515, 20501, 8228, 8422])).
% 1.91/2.09 tff(20504,plain,
% 1.91/2.09 (~always3(s3)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[2074, 20500])).
% 1.91/2.09 tff(20505,plain,
% 1.91/2.09 (~always3(s2)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[2086, 20504])).
% 1.91/2.09 tff(20506,plain,
% 1.91/2.09 ($false),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6032, 20505, 20503])).
% 1.91/2.09 tff(20507,plain,(always3(s5) | (~xuntil6(s99)) | xuntil2p8(s98) | trans(s99, s9) | trans(s99, s19) | trans(s99, s49) | trans(s99, s41) | trans(s99, s50) | trans(s99, s65) | trans(s99, s46) | trans(s99, s64) | trans(s99, s45) | trans(s99, s39) | trans(s99, s15) | trans(s99, s70) | trans(s99, s16) | trans(s99, s61) | trans(s99, s37) | trans(s99, s54) | trans(s99, s36) | trans(s99, s63) | trans(s99, s25) | trans(s99, s23) | trans(s99, s58) | trans(s99, s52) | trans(s99, s21) | trans(s99, s33) | trans(s99, s71) | trans(s99, s66) | trans(s99, s32) | trans(s99, s31) | trans(s99, s1) | trans(s99, s30) | trans(s99, s35) | trans(s99, s99) | trans(s99, s7) | trans(s99, s29) | trans(s99, s68) | trans(s99, s17) | trans(s99, s14) | trans(s99, s59) | trans(s99, s72) | trans(s99, s20) | trans(s99, s55) | trans(s99, s56) | trans(s99, s62) | trans(s99, s3) | trans(s99, s43) | trans(s99, s69) | trans(s99, s27) | trans(s99, s0) | trans(s99, s12) | trans(s99, s11) | trans(s99, s34) | trans(s99, s28) | trans(s99, s22) | trans(s99, s53) | trans(s99, s24) | trans(s99, s47) | trans(s99, s42) | trans(s99, s13) | trans(s99, s26) | trans(s99, s10) | trans(s99, s8) | trans(s99, s38) | trans(s99, s73) | trans(s99, s44) | trans(s99, s67) | trans(s99, s18) | trans(s99, s51) | trans(s99, s6) | trans(s99, s60) | trans(s99, s57) | trans(s99, s48) | trans(s99, s40)), inference(lemma,lemma(discharge,[]))).
% 1.91/2.09 tff(20508,plain,
% 1.91/2.09 (always3(s5)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20507, 16380, 8443, 18395, 18138, 18683, 17885, 18684, 18680, 18678, 18681, 18677, 18676, 18957, 20358, 19289, 18679, 19148, 18642, 19373, 18641, 20069, 20068, 18640, 18639, 20067, 20066, 20357, 18682, 20065, 20064, 20063, 19921, 19920, 20356, 19919, 19824, 18638, 19823, 19789, 18637, 20355, 19739, 18635, 18634, 18633, 20354, 18777, 18636, 19722, 20283, 20192, 20444, 19721, 19720, 19719, 18632, 19691, 18497, 18776, 20178, 19690, 20461, 20499, 19135, 20124, 18631, 17754, 20123, 17829, 20498, 17828, 17827, 17826, 19050])).
% 1.91/2.09 tff(20509,plain,
% 1.91/2.09 (always3(s6)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[2050, 20508])).
% 1.91/2.09 tff(20510,plain,
% 1.91/2.09 (~m_main_v_state(s6, c_busy)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6633, 3154, 20509])).
% 1.91/2.09 tff(20511,plain,
% 1.91/2.09 (~node4(s5)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6861, 20510])).
% 1.91/2.09 tff(20512,plain,
% 1.91/2.09 (always3(s7)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[2038, 20509])).
% 1.91/2.09 tff(20513,plain,
% 1.91/2.09 (~m_main_v_state(s7, c_busy)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6610, 3154, 20512])).
% 1.91/2.09 tff(20514,plain,
% 1.91/2.09 (m_main_v_state(s6, c_ready)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6637, 19, 20510])).
% 1.91/2.09 tff(20515,plain,
% 1.91/2.09 (~m_main_v_request(s6)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6626, 20514, 20513])).
% 1.91/2.09 tff(20516,plain,
% 1.91/2.09 (~node4(s6)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6617, 3141, 20515])).
% 1.91/2.09 tff(20517,plain,
% 1.91/2.09 (node4(s6) | (~until2p7(s6))),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4619, 3051, 20485])).
% 1.91/2.09 tff(20518,plain,
% 1.91/2.09 (~until2p7(s6)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20517, 20516])).
% 1.91/2.09 tff(20519,plain,
% 1.91/2.09 (~xuntil2p8(s5)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4625, 20518])).
% 1.91/2.09 tff(20520,plain,
% 1.91/2.09 (~until2p7(s5)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4631, 3051, 20519, 20511])).
% 1.91/2.09 tff(20521,plain,
% 1.91/2.09 (~trans(s99, s5)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4866, 20520, 16380])).
% 1.91/2.09 tff(20522,plain,
% 1.91/2.09 (~trans(s99, s76)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4712, 14517, 16380])).
% 1.91/2.09 tff(20523,plain,
% 1.91/2.09 (~trans(s99, s79)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[5484, 14501, 16380])).
% 1.91/2.09 tff(20524,plain,
% 1.91/2.09 (~trans(s99, s74)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[14534, 14522, 16380])).
% 1.91/2.09 tff(20525,plain,
% 1.91/2.09 (~trans(s99, s78)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[5374, 14508, 16380])).
% 1.91/2.09 tff(20526,plain,
% 1.91/2.09 (~trans(s99, s77)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[14718, 14502, 16380])).
% 1.91/2.09 tff(20527,plain,
% 1.91/2.09 (~xuntil2p8(s4)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4637, 20520])).
% 1.91/2.09 tff(20528,plain,
% 1.91/2.09 (~m_main_v_state(s5, c_busy)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6671, 3154, 20508])).
% 1.91/2.09 tff(20529,assumption,(~m_main_v_state(s5, c_busy)), introduced(assumption)).
% 1.91/2.09 tff(20530,plain,
% 1.91/2.09 (until2p7(s4)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4690, 4682, 4303])).
% 1.91/2.09 tff(20531,assumption,(~xuntil2p8(s4)), introduced(assumption)).
% 1.91/2.09 tff(20532,plain,
% 1.91/2.09 (node4(s4) | (~until2p7(s4))),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4643, 3051, 20531])).
% 1.91/2.09 tff(20533,plain,
% 1.91/2.09 (node4(s4)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20532, 20530])).
% 1.91/2.09 tff(20534,plain,
% 1.91/2.09 (m_main_v_request(s4)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6678, 3141, 20533])).
% 1.91/2.09 tff(20535,plain,
% 1.91/2.09 (~m_main_v_state(s4, c_ready)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6687, 20534, 20529])).
% 1.91/2.09 tff(20536,plain,
% 1.91/2.09 (always3(s4)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6043, 4682])).
% 1.91/2.09 tff(20537,plain,
% 1.91/2.09 (~m_main_v_state(s4, c_busy)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6694, 3154, 20536])).
% 1.91/2.09 tff(20538,plain,
% 1.91/2.09 ($false),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6698, 19, 20537, 20535])).
% 1.91/2.09 tff(20539,plain,((~trans(s99, s4)) | m_main_v_state(s5, c_busy) | xuntil2p8(s4) | (~xuntil6(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.09 tff(20540,plain,
% 1.91/2.09 (~trans(s99, s4)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20539, 20528, 20527, 16380])).
% 1.91/2.09 tff(20541,plain,
% 1.91/2.09 (trans(s99, s2)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20428, 20540, 16380, 8443, 20526, 18395, 18138, 18683, 17885, 18684, 18680, 18678, 18681, 20525, 18677, 18676, 18957, 20358, 19289, 18679, 19148, 18642, 19373, 18641, 20069, 20068, 18640, 18639, 20067, 20066, 20357, 18682, 20065, 20064, 20063, 19921, 19920, 20356, 19919, 16831, 19824, 18638, 19823, 19789, 18637, 20355, 19739, 18635, 18634, 18633, 20354, 18777, 18636, 19722, 20283, 20192, 20444, 19721, 19720, 19719, 18632, 20524, 19691, 18497, 18776, 20178, 20523, 20522, 19690, 20461, 20499, 19135, 20124, 18631, 17754, 20123, 17829, 20498, 17828, 17827, 20521, 17826, 19050])).
% 1.91/2.09 tff(20542,plain,
% 1.91/2.09 (always3(s2)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6032, 20541])).
% 1.91/2.09 tff(20543,plain,
% 1.91/2.09 (always3(s3)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[2086, 20542])).
% 1.91/2.09 tff(20544,plain,
% 1.91/2.09 (always3(s4)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[2074, 20543])).
% 1.91/2.09 tff(20545,plain,
% 1.91/2.09 (~m_main_v_state(s4, c_busy)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6694, 3154, 20544])).
% 1.91/2.09 tff(20546,plain,
% 1.91/2.09 (~m_main_v_state(s3, c_busy)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6754, 3154, 20543])).
% 1.91/2.09 tff(20547,plain,
% 1.91/2.09 (m_main_v_state(s3, c_ready)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6758, 19, 20546])).
% 1.91/2.09 tff(20548,plain,
% 1.91/2.09 (~m_main_v_request(s3)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6767, 20547, 20545])).
% 1.91/2.09 tff(20549,plain,
% 1.91/2.09 (~node4(s3)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6771, 3141, 20548])).
% 1.91/2.09 tff(20550,plain,
% 1.91/2.09 (m_main_v_state(s4, c_ready)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6698, 19, 20545])).
% 1.91/2.09 tff(20551,plain,
% 1.91/2.09 (~m_main_v_request(s4)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6687, 20550, 20528])).
% 1.91/2.09 tff(20552,plain,
% 1.91/2.09 (~node4(s4)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6678, 3141, 20551])).
% 1.91/2.09 tff(20553,plain,
% 1.91/2.09 (node4(s4) | (~until2p7(s4))),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4643, 3051, 20527])).
% 1.91/2.09 tff(20554,plain,
% 1.91/2.09 (~until2p7(s4)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20553, 20552])).
% 1.91/2.09 tff(20555,plain,
% 1.91/2.09 (~xuntil2p8(s3)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4649, 20554])).
% 1.91/2.09 tff(20556,plain,
% 1.91/2.09 (~m_main_v_state(s2, c_busy)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6790, 3154, 20542])).
% 1.91/2.09 tff(20557,plain,
% 1.91/2.09 (m_main_v_state(s2, c_ready)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6794, 19, 20556])).
% 1.91/2.09 tff(20558,plain,
% 1.91/2.09 (~m_main_v_request(s2)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6803, 20557, 20546])).
% 1.91/2.09 tff(20559,plain,
% 1.91/2.09 (~node4(s2)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[6807, 3141, 20558])).
% 1.91/2.09 tff(20560,plain,
% 1.91/2.09 (until2p7(s2)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4679, 20541, 16380])).
% 1.91/2.09 tff(20561,plain,
% 1.91/2.09 (node4(s2) | xuntil2p8(s2)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4667, 3051, 20560])).
% 1.91/2.09 tff(20562,plain,
% 1.91/2.09 (xuntil2p8(s2)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20561, 20559])).
% 1.91/2.09 tff(20563,plain,
% 1.91/2.09 (until2p7(s3)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4661, 20562])).
% 1.91/2.09 tff(20564,plain,
% 1.91/2.09 ($false),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[4655, 3051, 20563, 20555, 20549])).
% 1.91/2.09 tff(20565,plain,(node4(s99) | node4(s65) | node4(s64) | m_main_v_state(s48, c_busy) | node4(s48) | node4(s49) | node4(s50) | node4(s51) | node4(s52) | m_main_v_state(s53, c_busy) | node4(s53) | node4(s54) | node4(s55) | m_main_v_state(s56, c_busy) | node4(s56) | node4(s57) | node4(s58) | node4(s59) | m_main_v_state(s60, c_busy) | node4(s60) | node4(s61) | node4(s62) | m_main_v_state(s63, c_busy) | node4(s63) | node4(s68) | node4(s69) | node4(s71) | node4(s72) | node4(s73) | node4(s74)), inference(lemma,lemma(discharge,[]))).
% 1.91/2.09 tff(20566,plain,
% 1.91/2.09 (node4(s99)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20565, 17726, 16633, 17720, 17723, 17718, 17717, 17713, 17709, 17702, 17705, 17701, 17697, 17690, 17693, 17688, 17687, 17683, 17676, 17679, 17675, 17671, 17664, 17667, 17662, 17658, 17653, 17649, 17645, 17641])).
% 1.91/2.09 tff(20567,plain,
% 1.91/2.09 (m_main_v_request(s99)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[11422, 20566])).
% 1.91/2.09 tff(20568,plain,
% 1.91/2.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s12)) | node2(s99, s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s12)) | node2(s99, s12))),
% 1.91/2.09 inference(rewrite,[status(thm)],[])).
% 1.91/2.09 tff(20569,plain,
% 1.91/2.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s12)) | node2(s99, s12))),
% 1.91/2.09 inference(quant_inst,[status(thm)],[])).
% 1.91/2.09 tff(20570,plain,
% 1.91/2.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s12)) | node2(s99, s12)),
% 1.91/2.09 inference(modus_ponens,[status(thm)],[20569, 20568])).
% 1.91/2.09 tff(20571,plain,
% 1.91/2.09 (node2(s99, s12)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20570, 5012, 7])).
% 1.91/2.09 tff(20572,plain,
% 1.91/2.09 (((~![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(s12, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s12)))),
% 1.91/2.09 inference(rewrite,[status(thm)],[])).
% 1.91/2.09 tff(20573,plain,
% 1.91/2.09 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s12, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s12)))),
% 1.91/2.09 inference(rewrite,[status(thm)],[])).
% 1.91/2.09 tff(20574,plain,
% 1.91/2.09 (((~![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(s99, c_ready)) | (~node2(s99, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s12))))),
% 1.91/2.09 inference(monotonicity,[status(thm)],[20573])).
% 1.91/2.09 tff(20575,plain,
% 1.91/2.09 (((~![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(s99, c_ready)) | (~node2(s99, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s12)))),
% 1.91/2.09 inference(transitivity,[status(thm)],[20574, 20572])).
% 1.91/2.09 tff(20576,plain,
% 1.91/2.09 ((~![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(s99, c_ready)) | (~node2(s99, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s99)))),
% 1.91/2.09 inference(quant_inst,[status(thm)],[])).
% 1.91/2.09 tff(20577,plain,
% 1.91/2.09 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s12, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s12))),
% 1.91/2.09 inference(modus_ponens,[status(thm)],[20576, 20575])).
% 1.91/2.09 tff(20578,plain,
% 1.91/2.09 ($false),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20577, 3175, 20189, 10756, 9290, 20571])).
% 1.91/2.09 tff(20579,plain,((~trans(s99, s12)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.09 tff(20580,plain,
% 1.91/2.09 (~trans(s99, s12)),
% 1.91/2.09 inference(unit_resolution,[status(thm)],[20579, 20567])).
% 1.91/2.09 tff(20581,assumption,(node2(s99, s0)), introduced(assumption)).
% 1.91/2.09 tff(20582,plain,
% 1.91/2.09 (^[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))))),
% 1.91/2.09 inference(bind,[status(th)],[])).
% 1.91/2.09 tff(20583,plain,
% 1.91/2.09 (![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)))),
% 1.91/2.09 inference(quant_intro,[status(thm)],[20582])).
% 1.91/2.09 tff(20584,plain,
% 1.91/2.09 (![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)))),
% 1.91/2.09 inference(rewrite,[status(thm)],[])).
% 1.91/2.09 tff(20585,plain,
% 1.91/2.09 (^[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))))),
% 1.91/2.09 inference(bind,[status(th)],[])).
% 1.91/2.09 tff(20586,plain,
% 1.91/2.09 (![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)))),
% 1.91/2.09 inference(quant_intro,[status(thm)],[20585])).
% 1.91/2.09 tff(20587,axiom,(![X: $i] : ((~m_main_v_state(X, c_ready)) | (~m_main_v_state(X, c_busy)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_2')).
% 1.91/2.09 tff(20588,plain,
% 1.91/2.09 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20587, 20586])).
% 1.91/2.10 tff(20589,plain,
% 1.91/2.10 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20588, 20584])).
% 1.91/2.10 tff(20590,plain,(
% 1.91/2.10 ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 1.91/2.10 inference(skolemize,[status(sab)],[20589])).
% 1.91/2.10 tff(20591,plain,
% 1.91/2.10 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~m_main_v_state(X, c_ready)))),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20590, 20583])).
% 1.91/2.10 tff(20592,plain,
% 1.91/2.10 (((~![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)))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20593,plain,
% 1.91/2.10 ((~![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)))),
% 1.91/2.10 inference(quant_inst,[status(thm)],[])).
% 1.91/2.10 tff(20594,plain,
% 1.91/2.10 ((~![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))),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20593, 20592])).
% 1.91/2.10 tff(20595,plain,
% 1.91/2.10 (~m_main_v_state(s0, c_busy)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20594, 20591, 6714])).
% 1.91/2.10 tff(20596,plain,
% 1.91/2.10 (((~![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(s0, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s0)))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20597,plain,
% 1.91/2.10 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s0)) | m_main_v_state(s0, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s0, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s0)))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20598,plain,
% 1.91/2.10 (((~![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(s99, c_ready)) | (~node2(s99, s0)) | m_main_v_state(s0, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s0))))),
% 1.91/2.10 inference(monotonicity,[status(thm)],[20597])).
% 1.91/2.10 tff(20599,plain,
% 1.91/2.10 (((~![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(s99, c_ready)) | (~node2(s99, s0)) | m_main_v_state(s0, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s0)))),
% 1.91/2.10 inference(transitivity,[status(thm)],[20598, 20596])).
% 1.91/2.10 tff(20600,plain,
% 1.91/2.10 ((~![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(s99, c_ready)) | (~node2(s99, s0)) | m_main_v_state(s0, c_busy) | (~m_main_v_request(s99)))),
% 1.91/2.10 inference(quant_inst,[status(thm)],[])).
% 1.91/2.10 tff(20601,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s0, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s0))),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20600, 20599])).
% 1.91/2.10 tff(20602,plain,
% 1.91/2.10 ($false),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20601, 3175, 20595, 10756, 9290, 20581])).
% 1.91/2.10 tff(20603,plain,((~node2(s99, s0)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.10 tff(20604,plain,
% 1.91/2.10 (~node2(s99, s0)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20603, 20567])).
% 1.91/2.10 tff(20605,plain,
% 1.91/2.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s0)) | node2(s99, s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s0)) | node2(s99, s0))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20606,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s0)) | node2(s99, s0))),
% 1.91/2.10 inference(quant_inst,[status(thm)],[])).
% 1.91/2.10 tff(20607,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s0)) | node2(s99, s0)),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20606, 20605])).
% 1.91/2.10 tff(20608,plain,
% 1.91/2.10 (~trans(s99, s0)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20607, 7, 20604])).
% 1.91/2.10 tff(20609,plain,
% 1.91/2.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s3)) | node2(s99, s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s3)) | node2(s99, s3))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20610,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s3)) | node2(s99, s3))),
% 1.91/2.10 inference(quant_inst,[status(thm)],[])).
% 1.91/2.10 tff(20611,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s3)) | node2(s99, s3)),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20610, 20609])).
% 1.91/2.10 tff(20612,plain,
% 1.91/2.10 (node2(s99, s3)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20611, 5190, 7])).
% 1.91/2.10 tff(20613,plain,
% 1.91/2.10 (((~![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(s3, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s3)))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20614,plain,
% 1.91/2.10 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s3, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s3)))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20615,plain,
% 1.91/2.10 (((~![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(s99, c_ready)) | (~node2(s99, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s3))))),
% 1.91/2.10 inference(monotonicity,[status(thm)],[20614])).
% 1.91/2.10 tff(20616,plain,
% 1.91/2.10 (((~![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(s99, c_ready)) | (~node2(s99, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s3)))),
% 1.91/2.10 inference(transitivity,[status(thm)],[20615, 20613])).
% 1.91/2.10 tff(20617,plain,
% 1.91/2.10 ((~![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(s99, c_ready)) | (~node2(s99, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s99)))),
% 1.91/2.10 inference(quant_inst,[status(thm)],[])).
% 1.91/2.10 tff(20618,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s3, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s3))),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20617, 20616])).
% 1.91/2.10 tff(20619,plain,
% 1.91/2.10 ($false),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20618, 3175, 20292, 10756, 9290, 20612])).
% 1.91/2.10 tff(20620,plain,((~trans(s99, s3)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.10 tff(20621,plain,
% 1.91/2.10 (~trans(s99, s3)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20620, 20567])).
% 1.91/2.10 tff(20622,plain,
% 1.91/2.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s1)) | node2(s99, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s1)) | node2(s99, s1))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20623,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s1)) | node2(s99, s1))),
% 1.91/2.10 inference(quant_inst,[status(thm)],[])).
% 1.91/2.10 tff(20624,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s1)) | node2(s99, s1)),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20623, 20622])).
% 1.91/2.10 tff(20625,plain,
% 1.91/2.10 (node2(s99, s1)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20624, 5355, 7])).
% 1.91/2.10 tff(20626,plain,
% 1.91/2.10 (((~![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(s1, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s1)))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20627,plain,
% 1.91/2.10 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s1, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s1)))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20628,plain,
% 1.91/2.10 (((~![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(s99, c_ready)) | (~node2(s99, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s1))))),
% 1.91/2.10 inference(monotonicity,[status(thm)],[20627])).
% 1.91/2.10 tff(20629,plain,
% 1.91/2.10 (((~![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(s99, c_ready)) | (~node2(s99, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s1)))),
% 1.91/2.10 inference(transitivity,[status(thm)],[20628, 20626])).
% 1.91/2.10 tff(20630,plain,
% 1.91/2.10 ((~![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(s99, c_ready)) | (~node2(s99, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s99)))),
% 1.91/2.10 inference(quant_inst,[status(thm)],[])).
% 1.91/2.10 tff(20631,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s1, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s1))),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20630, 20629])).
% 1.91/2.10 tff(20632,plain,
% 1.91/2.10 ($false),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20631, 3175, 19930, 10756, 9290, 20625])).
% 1.91/2.10 tff(20633,plain,((~trans(s99, s1)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.10 tff(20634,plain,
% 1.91/2.10 (~trans(s99, s1)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20633, 20567])).
% 1.91/2.10 tff(20635,plain,
% 1.91/2.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s2)) | node2(s99, s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s2)) | node2(s99, s2))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20636,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s2)) | node2(s99, s2))),
% 1.91/2.10 inference(quant_inst,[status(thm)],[])).
% 1.91/2.10 tff(20637,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s2)) | node2(s99, s2)),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20636, 20635])).
% 1.91/2.10 tff(20638,plain,
% 1.91/2.10 (node2(s99, s2)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20637, 4671, 7])).
% 1.91/2.10 tff(20639,plain,
% 1.91/2.10 (always3(s2)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[6032, 4671])).
% 1.91/2.10 tff(20640,plain,
% 1.91/2.10 (~m_main_v_state(s2, c_busy)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[6790, 3154, 20639])).
% 1.91/2.10 tff(20641,plain,
% 1.91/2.10 (((~![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(s2, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s2)))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20642,plain,
% 1.91/2.10 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s2, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s2)))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20643,plain,
% 1.91/2.10 (((~![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(s99, c_ready)) | (~node2(s99, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s2))))),
% 1.91/2.10 inference(monotonicity,[status(thm)],[20642])).
% 1.91/2.10 tff(20644,plain,
% 1.91/2.10 (((~![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(s99, c_ready)) | (~node2(s99, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s2)))),
% 1.91/2.10 inference(transitivity,[status(thm)],[20643, 20641])).
% 1.91/2.10 tff(20645,plain,
% 1.91/2.10 ((~![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(s99, c_ready)) | (~node2(s99, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s99)))),
% 1.91/2.10 inference(quant_inst,[status(thm)],[])).
% 1.91/2.10 tff(20646,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s2, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s2))),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20645, 20644])).
% 1.91/2.10 tff(20647,plain,
% 1.91/2.10 ($false),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20646, 3175, 20640, 10756, 9290, 20638])).
% 1.91/2.10 tff(20648,plain,((~trans(s99, s2)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.10 tff(20649,plain,
% 1.91/2.10 (~trans(s99, s2)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20648, 20567])).
% 1.91/2.10 tff(20650,assumption,(node2(s99, s48)), introduced(assumption)).
% 1.91/2.10 tff(20651,plain,
% 1.91/2.10 (((~![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(s48, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s48)))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20652,plain,
% 1.91/2.10 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s48, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s48)))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20653,plain,
% 1.91/2.10 (((~![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(s99, c_ready)) | (~node2(s99, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s48))))),
% 1.91/2.10 inference(monotonicity,[status(thm)],[20652])).
% 1.91/2.10 tff(20654,plain,
% 1.91/2.10 (((~![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(s99, c_ready)) | (~node2(s99, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s48)))),
% 1.91/2.10 inference(transitivity,[status(thm)],[20653, 20651])).
% 1.91/2.10 tff(20655,plain,
% 1.91/2.10 ((~![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(s99, c_ready)) | (~node2(s99, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s99)))),
% 1.91/2.10 inference(quant_inst,[status(thm)],[])).
% 1.91/2.10 tff(20656,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s48, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s48))),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20655, 20654])).
% 1.91/2.10 tff(20657,plain,
% 1.91/2.10 ($false),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20656, 3175, 15908, 10756, 9290, 20650])).
% 1.91/2.10 tff(20658,plain,((~node2(s99, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.10 tff(20659,plain,
% 1.91/2.10 (~node2(s99, s48)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20658, 17720, 20567])).
% 1.91/2.10 tff(20660,plain,
% 1.91/2.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s48)) | node2(s99, s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s48)) | node2(s99, s48))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20661,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s48)) | node2(s99, s48))),
% 1.91/2.10 inference(quant_inst,[status(thm)],[])).
% 1.91/2.10 tff(20662,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s48)) | node2(s99, s48)),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20661, 20660])).
% 1.91/2.10 tff(20663,plain,
% 1.91/2.10 (~trans(s99, s48)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20662, 7, 20659])).
% 1.91/2.10 tff(20664,plain,
% 1.91/2.10 (~node2(s99, s74)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[16623, 20567, 17638])).
% 1.91/2.10 tff(20665,plain,
% 1.91/2.10 (~trans(s99, s74)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[16613, 20664])).
% 1.91/2.10 tff(20666,assumption,(node2(s99, s51)), introduced(assumption)).
% 1.91/2.10 tff(20667,assumption,(~m_main_v_state(s51, c_busy)), introduced(assumption)).
% 1.91/2.10 tff(20668,plain,
% 1.91/2.10 ($false),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[17606, 3175, 20667, 10756, 9290, 20666])).
% 1.91/2.10 tff(20669,plain,((~node2(s99, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.10 tff(20670,plain,
% 1.91/2.10 (~node2(s99, s51)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20669, 17710, 20567])).
% 1.91/2.10 tff(20671,plain,
% 1.91/2.10 (~trans(s99, s51)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[17597, 7, 20670])).
% 1.91/2.10 tff(20672,plain,
% 1.91/2.10 (~node2(s99, s65)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[17538, 20567, 8])).
% 1.91/2.10 tff(20673,assumption,(~node2(s99, s65)), introduced(assumption)).
% 1.91/2.10 tff(20674,plain,
% 1.91/2.10 ($false),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[17542, 5023, 7, 20673])).
% 1.91/2.10 tff(20675,plain,((~trans(s99, s65)) | node2(s99, s65)), inference(lemma,lemma(discharge,[]))).
% 1.91/2.10 tff(20676,plain,
% 1.91/2.10 (~trans(s99, s65)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20675, 20672])).
% 1.91/2.10 tff(20677,plain,
% 1.91/2.10 (~node2(s99, s92)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[16409, 9290])).
% 1.91/2.10 tff(20678,plain,
% 1.91/2.10 (~trans(s99, s92)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[10786, 20677])).
% 1.91/2.10 tff(20679,plain,
% 1.91/2.10 (~node2(s99, s96)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[16412, 9290])).
% 1.91/2.10 tff(20680,plain,
% 1.91/2.10 (~trans(s99, s96)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[10872, 20679])).
% 1.91/2.10 tff(20681,plain,
% 1.91/2.10 (~always3(s13)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[1954, 6253])).
% 1.91/2.10 tff(20682,plain,
% 1.91/2.10 (~always3(s12)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[1966, 20681])).
% 1.91/2.10 tff(20683,plain,
% 1.91/2.10 (~always3(s11)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[1978, 20682])).
% 1.91/2.10 tff(20684,plain,
% 1.91/2.10 (~always3(s10)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[1990, 20683])).
% 1.91/2.10 tff(20685,plain,
% 1.91/2.10 (~always3(s9)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[2002, 20684])).
% 1.91/2.10 tff(20686,plain,
% 1.91/2.10 (~always3(s8)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[2014, 20685])).
% 1.91/2.10 tff(20687,plain,
% 1.91/2.10 (~always3(s7)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[2026, 20686])).
% 1.91/2.10 tff(20688,plain,
% 1.91/2.10 (~always3(s6)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[2038, 20687])).
% 1.91/2.10 tff(20689,plain,
% 1.91/2.10 (~always3(s5)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[2050, 20688])).
% 1.91/2.10 tff(20690,plain,
% 1.91/2.10 (~always3(s4)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[2062, 20689])).
% 1.91/2.10 tff(20691,plain,
% 1.91/2.10 (~always3(s3)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[2074, 20690])).
% 1.91/2.10 tff(20692,plain,
% 1.91/2.10 (~always3(s2)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[2086, 20691])).
% 1.91/2.10 tff(20693,plain,
% 1.91/2.10 (~always3(s1)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[2098, 20692])).
% 1.91/2.10 tff(20694,plain,
% 1.91/2.10 (~always3(s0)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[2114, 20693])).
% 1.91/2.10 tff(20695,plain,
% 1.91/2.10 (~trans(s99, s0)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[6308, 20694])).
% 1.91/2.10 tff(20696,plain,
% 1.91/2.10 (~trans(s99, s5)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[6163, 20689])).
% 1.91/2.10 tff(20697,plain,
% 1.91/2.10 (~trans(s99, s3)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[6319, 20691])).
% 1.91/2.10 tff(20698,plain,
% 1.91/2.10 (~trans(s99, s52)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[17333, 9290])).
% 1.91/2.10 tff(20699,plain,
% 1.91/2.10 (~trans(s99, s58)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[17346, 9290])).
% 1.91/2.10 tff(20700,plain,
% 1.91/2.10 (~trans(s99, s9)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[6131, 20685])).
% 1.91/2.10 tff(20701,plain,
% 1.91/2.10 (~trans(s99, s54)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[17359, 9290])).
% 1.91/2.10 tff(20702,plain,
% 1.91/2.10 (~trans(s99, s2)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[6032, 20692])).
% 1.91/2.10 tff(20703,plain,
% 1.91/2.10 (~trans(s99, s72)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[16435, 9290])).
% 1.91/2.10 tff(20704,plain,
% 1.91/2.10 (~trans(s99, s14)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[6262, 6253])).
% 1.91/2.10 tff(20705,plain,
% 1.91/2.10 (~trans(s99, s71)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[16451, 9290])).
% 1.91/2.10 tff(20706,plain,
% 1.91/2.10 (~trans(s99, s12)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[6218, 20682])).
% 1.91/2.10 tff(20707,plain,
% 1.91/2.10 (~trans(s99, s7)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[6396, 20687])).
% 1.91/2.10 tff(20708,plain,
% 1.91/2.10 (~trans(s99, s4)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[6043, 20690])).
% 1.91/2.10 tff(20709,plain,
% 1.91/2.10 (~trans(s99, s6)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[6473, 20688])).
% 1.91/2.10 tff(20710,plain,
% 1.91/2.10 (~trans(s99, s75)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[16466, 9290])).
% 1.91/2.10 tff(20711,plain,
% 1.91/2.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s16)) | node2(s99, s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s16)) | node2(s99, s16))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20712,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s16)) | node2(s99, s16))),
% 1.91/2.10 inference(quant_inst,[status(thm)],[])).
% 1.91/2.10 tff(20713,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s16)) | node2(s99, s16)),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20712, 20711])).
% 1.91/2.10 tff(20714,plain,
% 1.91/2.10 (node2(s99, s16)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20713, 5399, 7])).
% 1.91/2.10 tff(20715,plain,
% 1.91/2.10 (~m_main_v_state(s16, c_busy)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[4278, 3154, 19149])).
% 1.91/2.10 tff(20716,plain,
% 1.91/2.10 (((~![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(s16, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s16)))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20717,plain,
% 1.91/2.10 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s16, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s16)))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20718,plain,
% 1.91/2.10 (((~![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(s99, c_ready)) | (~node2(s99, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s16))))),
% 1.91/2.10 inference(monotonicity,[status(thm)],[20717])).
% 1.91/2.10 tff(20719,plain,
% 1.91/2.10 (((~![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(s99, c_ready)) | (~node2(s99, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s16)))),
% 1.91/2.10 inference(transitivity,[status(thm)],[20718, 20716])).
% 1.91/2.10 tff(20720,plain,
% 1.91/2.10 ((~![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(s99, c_ready)) | (~node2(s99, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s99)))),
% 1.91/2.10 inference(quant_inst,[status(thm)],[])).
% 1.91/2.10 tff(20721,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s16, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s16))),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20720, 20719])).
% 1.91/2.10 tff(20722,plain,
% 1.91/2.10 ($false),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20721, 3175, 20715, 10756, 9290, 20714])).
% 1.91/2.10 tff(20723,plain,((~trans(s99, s16)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.10 tff(20724,plain,
% 1.91/2.10 (~trans(s99, s16)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20723, 9290])).
% 1.91/2.10 tff(20725,plain,
% 1.91/2.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s15)) | node2(s99, s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s15)) | node2(s99, s15))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20726,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s15)) | node2(s99, s15))),
% 1.91/2.10 inference(quant_inst,[status(thm)],[])).
% 1.91/2.10 tff(20727,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s15)) | node2(s99, s15)),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20726, 20725])).
% 1.91/2.10 tff(20728,plain,
% 1.91/2.10 (node2(s99, s15)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20727, 4305, 7])).
% 1.91/2.10 tff(20729,plain,
% 1.91/2.10 (((~![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(s15, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s15)))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20730,plain,
% 1.91/2.10 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s15, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s15)))),
% 1.91/2.10 inference(rewrite,[status(thm)],[])).
% 1.91/2.10 tff(20731,plain,
% 1.91/2.10 (((~![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(s99, c_ready)) | (~node2(s99, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s15))))),
% 1.91/2.10 inference(monotonicity,[status(thm)],[20730])).
% 1.91/2.10 tff(20732,plain,
% 1.91/2.10 (((~![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(s99, c_ready)) | (~node2(s99, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s15)))),
% 1.91/2.10 inference(transitivity,[status(thm)],[20731, 20729])).
% 1.91/2.10 tff(20733,plain,
% 1.91/2.10 ((~![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(s99, c_ready)) | (~node2(s99, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s99)))),
% 1.91/2.10 inference(quant_inst,[status(thm)],[])).
% 1.91/2.10 tff(20734,plain,
% 1.91/2.10 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s15, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s15))),
% 1.91/2.10 inference(modus_ponens,[status(thm)],[20733, 20732])).
% 1.91/2.10 tff(20735,plain,
% 1.91/2.10 ($false),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20734, 3175, 18789, 10756, 9290, 20728])).
% 1.91/2.10 tff(20736,plain,((~trans(s99, s15)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.10 tff(20737,plain,
% 1.91/2.10 (~trans(s99, s15)),
% 1.91/2.10 inference(unit_resolution,[status(thm)],[20736, 9290])).
% 1.91/2.11 tff(20738,plain,
% 1.91/2.11 (~always3(s18)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[402, 7421])).
% 1.91/2.11 tff(20739,plain,
% 1.91/2.11 (~always3(s17)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[414, 20738])).
% 1.91/2.11 tff(20740,plain,
% 1.91/2.11 (~always3(s16)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[426, 20739])).
% 1.91/2.11 tff(20741,plain,
% 1.91/2.11 (~always3(s15)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[438, 20740])).
% 1.91/2.11 tff(20742,plain,
% 1.91/2.11 (~trans(s99, s15)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[5943, 20741])).
% 1.91/2.11 tff(20743,plain,
% 1.91/2.11 (~trans(s99, s20)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[6174, 6165])).
% 1.91/2.11 tff(20744,plain,
% 1.91/2.11 (~trans(s99, s16)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[6374, 20740])).
% 1.91/2.11 tff(20745,plain,
% 1.91/2.11 (~always3(s14)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[1942, 20741])).
% 1.91/2.11 tff(20746,plain,
% 1.91/2.11 (~always3(s13)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[1954, 20745])).
% 1.91/2.11 tff(20747,plain,
% 1.91/2.11 (~always3(s12)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[1966, 20746])).
% 1.91/2.11 tff(20748,plain,
% 1.91/2.11 (~always3(s11)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[1978, 20747])).
% 1.91/2.11 tff(20749,plain,
% 1.91/2.11 (~always3(s10)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[1990, 20748])).
% 1.91/2.11 tff(20750,plain,
% 1.91/2.11 (~always3(s9)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[2002, 20749])).
% 1.91/2.11 tff(20751,plain,
% 1.91/2.11 (~trans(s99, s9)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[6131, 20750])).
% 1.91/2.11 tff(20752,plain,
% 1.91/2.11 (~trans(s99, s17)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[6385, 20739])).
% 1.91/2.11 tff(20753,plain,
% 1.91/2.11 (~trans(s99, s14)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[6262, 20745])).
% 1.91/2.11 tff(20754,plain,
% 1.91/2.11 (~trans(s99, s12)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[6218, 20747])).
% 1.91/2.11 tff(20755,plain,
% 1.91/2.11 (~always3(s8)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[2014, 20750])).
% 1.91/2.11 tff(20756,plain,
% 1.91/2.11 (~always3(s7)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[2026, 20755])).
% 1.91/2.11 tff(20757,plain,
% 1.91/2.11 (~always3(s6)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[2038, 20756])).
% 1.91/2.11 tff(20758,plain,
% 1.91/2.11 (~always3(s5)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[2050, 20757])).
% 1.91/2.11 tff(20759,plain,
% 1.91/2.11 (~always3(s4)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[2062, 20758])).
% 1.91/2.11 tff(20760,plain,
% 1.91/2.11 (~always3(s3)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[2074, 20759])).
% 1.91/2.11 tff(20761,plain,
% 1.91/2.11 (~always3(s2)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[2086, 20760])).
% 1.91/2.11 tff(20762,plain,
% 1.91/2.11 (~trans(s99, s2)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[6032, 20761])).
% 1.91/2.11 tff(20763,plain,
% 1.91/2.11 (~trans(s99, s4)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[6043, 20759])).
% 1.91/2.11 tff(20764,plain,
% 1.91/2.11 (~always3(s1)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[2098, 20761])).
% 1.91/2.11 tff(20765,plain,
% 1.91/2.11 (~always3(s0)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[2114, 20764])).
% 1.91/2.11 tff(20766,plain,
% 1.91/2.11 (~trans(s99, s0)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[6308, 20765])).
% 1.91/2.11 tff(20767,plain,
% 1.91/2.11 (~trans(s99, s3)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[6319, 20760])).
% 1.91/2.11 tff(20768,plain,
% 1.91/2.11 (~trans(s99, s6)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[6473, 20757])).
% 1.91/2.11 tff(20769,plain,
% 1.91/2.11 (~trans(s99, s5)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[6163, 20758])).
% 1.91/2.11 tff(20770,plain,
% 1.91/2.11 (~trans(s99, s7)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[6396, 20756])).
% 1.91/2.11 tff(20771,plain,
% 1.91/2.11 (~trans(s99, s69)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[16482, 9290])).
% 1.91/2.11 tff(20772,plain,
% 1.91/2.11 (~trans(s99, s61)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[17378, 9290])).
% 1.91/2.11 tff(20773,plain,
% 1.91/2.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s24)) | node2(s99, s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s24)) | node2(s99, s24))),
% 1.91/2.11 inference(rewrite,[status(thm)],[])).
% 1.91/2.11 tff(20774,plain,
% 1.91/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s24)) | node2(s99, s24))),
% 1.91/2.11 inference(quant_inst,[status(thm)],[])).
% 1.91/2.11 tff(20775,plain,
% 1.91/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s24)) | node2(s99, s24)),
% 1.91/2.11 inference(modus_ponens,[status(thm)],[20774, 20773])).
% 1.91/2.11 tff(20776,plain,
% 1.91/2.11 (node2(s99, s24)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[20775, 5245, 7])).
% 1.91/2.11 tff(20777,plain,
% 1.91/2.11 (~m_main_v_state(s24, c_busy)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[4144, 3154, 19573])).
% 1.91/2.11 tff(20778,plain,
% 1.91/2.11 (((~![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(s24, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s24)))),
% 1.91/2.11 inference(rewrite,[status(thm)],[])).
% 1.91/2.11 tff(20779,plain,
% 1.91/2.11 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s24, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s24)))),
% 1.91/2.11 inference(rewrite,[status(thm)],[])).
% 1.91/2.11 tff(20780,plain,
% 1.91/2.11 (((~![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(s99, c_ready)) | (~node2(s99, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s24))))),
% 1.91/2.11 inference(monotonicity,[status(thm)],[20779])).
% 1.91/2.11 tff(20781,plain,
% 1.91/2.11 (((~![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(s99, c_ready)) | (~node2(s99, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s24)))),
% 1.91/2.11 inference(transitivity,[status(thm)],[20780, 20778])).
% 1.91/2.11 tff(20782,plain,
% 1.91/2.11 ((~![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(s99, c_ready)) | (~node2(s99, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s99)))),
% 1.91/2.11 inference(quant_inst,[status(thm)],[])).
% 1.91/2.11 tff(20783,plain,
% 1.91/2.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s24, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s24))),
% 1.91/2.11 inference(modus_ponens,[status(thm)],[20782, 20781])).
% 1.91/2.11 tff(20784,plain,
% 1.91/2.11 ($false),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[20783, 3175, 20777, 10756, 9290, 20776])).
% 1.91/2.11 tff(20785,plain,((~trans(s99, s24)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.11 tff(20786,plain,
% 1.91/2.11 (~trans(s99, s24)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[20785, 9290])).
% 1.91/2.11 tff(20787,plain,
% 1.91/2.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s29)) | node2(s99, s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s29)) | node2(s99, s29))),
% 1.91/2.11 inference(rewrite,[status(thm)],[])).
% 1.91/2.11 tff(20788,plain,
% 1.91/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s29)) | node2(s99, s29))),
% 1.91/2.11 inference(quant_inst,[status(thm)],[])).
% 1.91/2.11 tff(20789,plain,
% 1.91/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s29)) | node2(s99, s29)),
% 1.91/2.11 inference(modus_ponens,[status(thm)],[20788, 20787])).
% 1.91/2.11 tff(20790,plain,
% 1.91/2.11 (node2(s99, s29)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[20789, 5377, 7])).
% 1.91/2.11 tff(20791,plain,
% 1.91/2.11 (((~![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(s29, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s29)))),
% 1.91/2.11 inference(rewrite,[status(thm)],[])).
% 1.91/2.11 tff(20792,plain,
% 1.91/2.11 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s29, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s29)))),
% 1.91/2.11 inference(rewrite,[status(thm)],[])).
% 1.91/2.11 tff(20793,plain,
% 1.91/2.11 (((~![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(s99, c_ready)) | (~node2(s99, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s29))))),
% 1.91/2.11 inference(monotonicity,[status(thm)],[20792])).
% 1.91/2.11 tff(20794,plain,
% 1.91/2.11 (((~![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(s99, c_ready)) | (~node2(s99, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s29)))),
% 1.91/2.11 inference(transitivity,[status(thm)],[20793, 20791])).
% 1.91/2.11 tff(20795,plain,
% 1.91/2.11 ((~![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(s99, c_ready)) | (~node2(s99, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s99)))),
% 1.91/2.11 inference(quant_inst,[status(thm)],[])).
% 1.91/2.11 tff(20796,plain,
% 1.91/2.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s29, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s29))),
% 1.91/2.11 inference(modus_ponens,[status(thm)],[20795, 20794])).
% 1.91/2.11 tff(20797,plain,
% 1.91/2.11 ($false),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[20796, 3175, 19522, 10756, 9290, 20790])).
% 1.91/2.11 tff(20798,plain,((~trans(s99, s29)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.11 tff(20799,plain,
% 1.91/2.11 (~trans(s99, s29)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[20798, 9290])).
% 1.91/2.11 tff(20800,plain,
% 1.91/2.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s37)) | node2(s99, s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s37)) | node2(s99, s37))),
% 1.91/2.11 inference(rewrite,[status(thm)],[])).
% 1.91/2.11 tff(20801,plain,
% 1.91/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s37)) | node2(s99, s37))),
% 1.91/2.11 inference(quant_inst,[status(thm)],[])).
% 1.91/2.11 tff(20802,plain,
% 1.91/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s37)) | node2(s99, s37)),
% 1.91/2.11 inference(modus_ponens,[status(thm)],[20801, 20800])).
% 1.91/2.11 tff(20803,plain,
% 1.91/2.11 (node2(s99, s37)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[20802, 4693, 7])).
% 1.91/2.11 tff(20804,plain,
% 1.91/2.11 (((~![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(s37, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s37)))),
% 1.91/2.11 inference(rewrite,[status(thm)],[])).
% 1.91/2.11 tff(20805,plain,
% 1.91/2.11 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s37, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s37)))),
% 1.91/2.11 inference(rewrite,[status(thm)],[])).
% 1.91/2.11 tff(20806,plain,
% 1.91/2.11 (((~![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(s99, c_ready)) | (~node2(s99, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s37))))),
% 1.91/2.11 inference(monotonicity,[status(thm)],[20805])).
% 1.91/2.11 tff(20807,plain,
% 1.91/2.11 (((~![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(s99, c_ready)) | (~node2(s99, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s37)))),
% 1.91/2.11 inference(transitivity,[status(thm)],[20806, 20804])).
% 1.91/2.11 tff(20808,plain,
% 1.91/2.11 ((~![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(s99, c_ready)) | (~node2(s99, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s99)))),
% 1.91/2.11 inference(quant_inst,[status(thm)],[])).
% 1.91/2.11 tff(20809,plain,
% 1.91/2.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s37, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s37))),
% 1.91/2.11 inference(modus_ponens,[status(thm)],[20808, 20807])).
% 1.91/2.11 tff(20810,plain,
% 1.91/2.11 ($false),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[20809, 3175, 19145, 10756, 9290, 20803])).
% 1.91/2.11 tff(20811,plain,((~trans(s99, s37)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.11 tff(20812,plain,
% 1.91/2.11 (~trans(s99, s37)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[20811, 9290])).
% 1.91/2.11 tff(20813,plain,
% 1.91/2.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s39)) | node2(s99, s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s39)) | node2(s99, s39))),
% 1.91/2.11 inference(rewrite,[status(thm)],[])).
% 1.91/2.11 tff(20814,plain,
% 1.91/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s39)) | node2(s99, s39))),
% 1.91/2.11 inference(quant_inst,[status(thm)],[])).
% 1.91/2.11 tff(20815,plain,
% 1.91/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s39)) | node2(s99, s39)),
% 1.91/2.11 inference(modus_ponens,[status(thm)],[20814, 20813])).
% 1.91/2.11 tff(20816,plain,
% 1.91/2.11 (node2(s99, s39)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[20815, 4338, 7])).
% 1.91/2.11 tff(20817,plain,
% 1.91/2.11 (~m_main_v_state(s39, c_busy)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[8075, 3154, 18644])).
% 1.91/2.11 tff(20818,plain,
% 1.91/2.11 (((~![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(s39, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s39)))),
% 1.91/2.11 inference(rewrite,[status(thm)],[])).
% 1.91/2.11 tff(20819,plain,
% 1.91/2.11 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s39, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s39)))),
% 1.91/2.11 inference(rewrite,[status(thm)],[])).
% 1.91/2.11 tff(20820,plain,
% 1.91/2.11 (((~![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(s99, c_ready)) | (~node2(s99, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s39))))),
% 1.91/2.11 inference(monotonicity,[status(thm)],[20819])).
% 1.91/2.11 tff(20821,plain,
% 1.91/2.11 (((~![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(s99, c_ready)) | (~node2(s99, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s39)))),
% 1.91/2.11 inference(transitivity,[status(thm)],[20820, 20818])).
% 1.91/2.11 tff(20822,plain,
% 1.91/2.11 ((~![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(s99, c_ready)) | (~node2(s99, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s99)))),
% 1.91/2.11 inference(quant_inst,[status(thm)],[])).
% 1.91/2.11 tff(20823,plain,
% 1.91/2.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s39, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s39))),
% 1.91/2.11 inference(modus_ponens,[status(thm)],[20822, 20821])).
% 1.91/2.11 tff(20824,plain,
% 1.91/2.11 ($false),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[20823, 3175, 20817, 10756, 9290, 20816])).
% 1.91/2.11 tff(20825,plain,((~trans(s99, s39)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.91/2.11 tff(20826,plain,
% 1.91/2.11 (~trans(s99, s39)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[20825, 9290])).
% 1.91/2.11 tff(20827,plain,
% 1.91/2.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s41)) | node2(s99, s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s41)) | node2(s99, s41))),
% 1.91/2.11 inference(rewrite,[status(thm)],[])).
% 1.91/2.11 tff(20828,plain,
% 1.91/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s41)) | node2(s99, s41))),
% 1.91/2.11 inference(quant_inst,[status(thm)],[])).
% 1.91/2.11 tff(20829,plain,
% 1.91/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s41)) | node2(s99, s41)),
% 1.91/2.11 inference(modus_ponens,[status(thm)],[20828, 20827])).
% 1.91/2.11 tff(20830,plain,
% 1.91/2.11 (node2(s99, s41)),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[20829, 4382, 7])).
% 1.91/2.11 tff(20831,plain,
% 1.91/2.11 (((~![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(s41, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s41)))),
% 1.91/2.11 inference(rewrite,[status(thm)],[])).
% 1.91/2.11 tff(20832,plain,
% 1.91/2.11 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s41, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s41)))),
% 1.91/2.11 inference(rewrite,[status(thm)],[])).
% 1.91/2.11 tff(20833,plain,
% 1.91/2.11 (((~![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(s99, c_ready)) | (~node2(s99, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s41))))),
% 1.91/2.11 inference(monotonicity,[status(thm)],[20832])).
% 1.91/2.11 tff(20834,plain,
% 1.91/2.11 (((~![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(s99, c_ready)) | (~node2(s99, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s41)))),
% 1.91/2.11 inference(transitivity,[status(thm)],[20833, 20831])).
% 1.91/2.11 tff(20835,plain,
% 1.91/2.11 ((~![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(s99, c_ready)) | (~node2(s99, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s99)))),
% 1.91/2.11 inference(quant_inst,[status(thm)],[])).
% 1.91/2.11 tff(20836,plain,
% 1.91/2.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s41, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s41))),
% 1.91/2.11 inference(modus_ponens,[status(thm)],[20835, 20834])).
% 1.91/2.11 tff(20837,plain,
% 1.91/2.11 ($false),
% 1.91/2.11 inference(unit_resolution,[status(thm)],[20836, 3175, 17837, 10756, 9290, 20830])).
% 1.95/2.11 tff(20838,plain,((~trans(s99, s41)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.11 tff(20839,plain,
% 1.95/2.11 (~trans(s99, s41)),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[20838, 9290])).
% 1.95/2.11 tff(20840,plain,
% 1.95/2.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s19)) | node2(s99, s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s19)) | node2(s99, s19))),
% 1.95/2.11 inference(rewrite,[status(thm)],[])).
% 1.95/2.11 tff(20841,plain,
% 1.95/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s19)) | node2(s99, s19))),
% 1.95/2.11 inference(quant_inst,[status(thm)],[])).
% 1.95/2.11 tff(20842,plain,
% 1.95/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s19)) | node2(s99, s19)),
% 1.95/2.11 inference(modus_ponens,[status(thm)],[20841, 20840])).
% 1.95/2.11 tff(20843,plain,
% 1.95/2.11 (node2(s99, s19)),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[20842, 4404, 7])).
% 1.95/2.11 tff(20844,plain,
% 1.95/2.11 (((~![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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s19)))),
% 1.95/2.11 inference(rewrite,[status(thm)],[])).
% 1.95/2.11 tff(20845,plain,
% 1.95/2.11 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s19, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s19)))),
% 1.95/2.11 inference(rewrite,[status(thm)],[])).
% 1.95/2.11 tff(20846,plain,
% 1.95/2.11 (((~![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(s99, c_ready)) | (~node2(s99, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s19))))),
% 1.95/2.11 inference(monotonicity,[status(thm)],[20845])).
% 1.95/2.11 tff(20847,plain,
% 1.95/2.11 (((~![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(s99, c_ready)) | (~node2(s99, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s19)))),
% 1.95/2.11 inference(transitivity,[status(thm)],[20846, 20844])).
% 1.95/2.11 tff(20848,plain,
% 1.95/2.11 ((~![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(s99, c_ready)) | (~node2(s99, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.11 inference(quant_inst,[status(thm)],[])).
% 1.95/2.11 tff(20849,plain,
% 1.95/2.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s19, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s19))),
% 1.95/2.11 inference(modus_ponens,[status(thm)],[20848, 20847])).
% 1.95/2.11 tff(20850,plain,
% 1.95/2.11 ($false),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[20849, 3175, 17897, 10756, 9290, 20843])).
% 1.95/2.11 tff(20851,plain,((~trans(s99, s19)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.11 tff(20852,plain,
% 1.95/2.11 (~trans(s99, s19)),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[20851, 9290])).
% 1.95/2.11 tff(20853,plain,
% 1.95/2.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s44)) | node2(s99, s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s44)) | node2(s99, s44))),
% 1.95/2.11 inference(rewrite,[status(thm)],[])).
% 1.95/2.11 tff(20854,plain,
% 1.95/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s44)) | node2(s99, s44))),
% 1.95/2.11 inference(quant_inst,[status(thm)],[])).
% 1.95/2.11 tff(20855,plain,
% 1.95/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s44)) | node2(s99, s44)),
% 1.95/2.11 inference(modus_ponens,[status(thm)],[20854, 20853])).
% 1.95/2.11 tff(20856,plain,
% 1.95/2.11 (node2(s99, s44)),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[20855, 4565, 7])).
% 1.95/2.11 tff(20857,plain,
% 1.95/2.11 (always3(s44)),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[5997, 4565])).
% 1.95/2.11 tff(20858,plain,
% 1.95/2.11 (~m_main_v_state(s44, c_busy)),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[15704, 3154, 20857])).
% 1.95/2.11 tff(20859,plain,
% 1.95/2.11 (((~![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(s44, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s44)))),
% 1.95/2.11 inference(rewrite,[status(thm)],[])).
% 1.95/2.11 tff(20860,plain,
% 1.95/2.11 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s44, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s44)))),
% 1.95/2.11 inference(rewrite,[status(thm)],[])).
% 1.95/2.11 tff(20861,plain,
% 1.95/2.11 (((~![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(s99, c_ready)) | (~node2(s99, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s44))))),
% 1.95/2.11 inference(monotonicity,[status(thm)],[20860])).
% 1.95/2.11 tff(20862,plain,
% 1.95/2.11 (((~![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(s99, c_ready)) | (~node2(s99, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s44)))),
% 1.95/2.11 inference(transitivity,[status(thm)],[20861, 20859])).
% 1.95/2.11 tff(20863,plain,
% 1.95/2.11 ((~![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(s99, c_ready)) | (~node2(s99, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.11 inference(quant_inst,[status(thm)],[])).
% 1.95/2.11 tff(20864,plain,
% 1.95/2.11 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s44, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s44))),
% 1.95/2.11 inference(modus_ponens,[status(thm)],[20863, 20862])).
% 1.95/2.11 tff(20865,plain,
% 1.95/2.11 ($false),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[20864, 3175, 20858, 10756, 9290, 20856])).
% 1.95/2.11 tff(20866,plain,((~trans(s99, s44)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.11 tff(20867,plain,
% 1.95/2.11 (~trans(s99, s44)),
% 1.95/2.11 inference(unit_resolution,[status(thm)],[20866, 9290])).
% 1.95/2.11 tff(20868,plain,
% 1.95/2.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s38)) | node2(s99, s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s38)) | node2(s99, s38))),
% 1.95/2.11 inference(rewrite,[status(thm)],[])).
% 1.95/2.11 tff(20869,plain,
% 1.95/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s38)) | node2(s99, s38))),
% 1.95/2.11 inference(quant_inst,[status(thm)],[])).
% 1.95/2.11 tff(20870,plain,
% 1.95/2.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s38)) | node2(s99, s38)),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20869, 20868])).
% 1.95/2.12 tff(20871,plain,
% 1.95/2.12 (node2(s99, s38)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20870, 4576, 7])).
% 1.95/2.12 tff(20872,plain,
% 1.95/2.12 (always3(s38)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[6008, 4576])).
% 1.95/2.12 tff(20873,plain,
% 1.95/2.12 (~m_main_v_state(s38, c_busy)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[8021, 3154, 20872])).
% 1.95/2.12 tff(20874,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s38)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20875,plain,
% 1.95/2.12 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s38, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s38)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20876,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s38))))),
% 1.95/2.12 inference(monotonicity,[status(thm)],[20875])).
% 1.95/2.12 tff(20877,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s38)))),
% 1.95/2.12 inference(transitivity,[status(thm)],[20876, 20874])).
% 1.95/2.12 tff(20878,plain,
% 1.95/2.12 ((~![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(s99, c_ready)) | (~node2(s99, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(20879,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s38, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s38))),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20878, 20877])).
% 1.95/2.12 tff(20880,plain,
% 1.95/2.12 ($false),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20879, 3175, 20873, 10756, 9290, 20871])).
% 1.95/2.12 tff(20881,plain,((~trans(s99, s38)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.12 tff(20882,plain,
% 1.95/2.12 (~trans(s99, s38)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20881, 9290])).
% 1.95/2.12 tff(20883,plain,
% 1.95/2.12 (~trans(s99, s68)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[16501, 9290])).
% 1.95/2.12 tff(20884,plain,
% 1.95/2.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s13)) | node2(s99, s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s13)) | node2(s99, s13))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20885,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s13)) | node2(s99, s13))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(20886,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s13)) | node2(s99, s13)),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20885, 20884])).
% 1.95/2.12 tff(20887,plain,
% 1.95/2.12 (node2(s99, s13)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20886, 4726, 7])).
% 1.95/2.12 tff(20888,plain,
% 1.95/2.12 (always3(s13)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[6065, 4726])).
% 1.95/2.12 tff(20889,plain,
% 1.95/2.12 (~m_main_v_state(s13, c_busy)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[4492, 3154, 20888])).
% 1.95/2.12 tff(20890,plain,
% 1.95/2.12 (((~![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(s13, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s13)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20891,plain,
% 1.95/2.12 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s13, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s13)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20892,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s13))))),
% 1.95/2.12 inference(monotonicity,[status(thm)],[20891])).
% 1.95/2.12 tff(20893,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s13)))),
% 1.95/2.12 inference(transitivity,[status(thm)],[20892, 20890])).
% 1.95/2.12 tff(20894,plain,
% 1.95/2.12 ((~![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(s99, c_ready)) | (~node2(s99, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(20895,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s13, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s13))),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20894, 20893])).
% 1.95/2.12 tff(20896,plain,
% 1.95/2.12 ($false),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20895, 3175, 20889, 10756, 9290, 20887])).
% 1.95/2.12 tff(20897,plain,((~trans(s99, s13)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.12 tff(20898,plain,
% 1.95/2.12 (~trans(s99, s13)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20897, 9290])).
% 1.95/2.12 tff(20899,plain,
% 1.95/2.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s42)) | node2(s99, s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s42)) | node2(s99, s42))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20900,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s42)) | node2(s99, s42))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(20901,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s42)) | node2(s99, s42)),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20900, 20899])).
% 1.95/2.12 tff(20902,plain,
% 1.95/2.12 (node2(s99, s42)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20901, 4737, 7])).
% 1.95/2.12 tff(20903,plain,
% 1.95/2.12 (always3(s42)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[6076, 4737])).
% 1.95/2.12 tff(20904,plain,
% 1.95/2.12 (~m_main_v_state(s42, c_busy)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[15759, 3154, 20903])).
% 1.95/2.12 tff(20905,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s42)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20906,plain,
% 1.95/2.12 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s42, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s42)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20907,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s42))))),
% 1.95/2.12 inference(monotonicity,[status(thm)],[20906])).
% 1.95/2.12 tff(20908,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s42)))),
% 1.95/2.12 inference(transitivity,[status(thm)],[20907, 20905])).
% 1.95/2.12 tff(20909,plain,
% 1.95/2.12 ((~![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(s99, c_ready)) | (~node2(s99, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(20910,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s42, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s42))),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20909, 20908])).
% 1.95/2.12 tff(20911,plain,
% 1.95/2.12 ($false),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20910, 3175, 20904, 10756, 9290, 20902])).
% 1.95/2.12 tff(20912,plain,((~trans(s99, s42)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.12 tff(20913,plain,
% 1.95/2.12 (~trans(s99, s42)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20912, 9290])).
% 1.95/2.12 tff(20914,plain,
% 1.95/2.12 (~trans(s99, s49)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[17398, 9290])).
% 1.95/2.12 tff(20915,plain,
% 1.95/2.12 (~trans(s99, s53)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[17413, 9290])).
% 1.95/2.12 tff(20916,plain,
% 1.95/2.12 (~trans(s99, s62)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[17428, 9290])).
% 1.95/2.12 tff(20917,plain,
% 1.95/2.12 (~trans(s99, s88)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[13149, 9290])).
% 1.95/2.12 tff(20918,plain,
% 1.95/2.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s47)) | node2(s99, s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s47)) | node2(s99, s47))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20919,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s47)) | node2(s99, s47))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(20920,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s47)) | node2(s99, s47)),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20919, 20918])).
% 1.95/2.12 tff(20921,plain,
% 1.95/2.12 (node2(s99, s47)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20920, 4748, 7])).
% 1.95/2.12 tff(20922,plain,
% 1.95/2.12 (always3(s47)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[6087, 4748])).
% 1.95/2.12 tff(20923,plain,
% 1.95/2.12 (~m_main_v_state(s47, c_busy)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[15906, 3154, 20922])).
% 1.95/2.12 tff(20924,plain,
% 1.95/2.12 (((~![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(s47, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s47)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20925,plain,
% 1.95/2.12 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s47, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s47)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20926,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s47))))),
% 1.95/2.12 inference(monotonicity,[status(thm)],[20925])).
% 1.95/2.12 tff(20927,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s47)))),
% 1.95/2.12 inference(transitivity,[status(thm)],[20926, 20924])).
% 1.95/2.12 tff(20928,plain,
% 1.95/2.12 ((~![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(s99, c_ready)) | (~node2(s99, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(20929,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s47, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s47))),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20928, 20927])).
% 1.95/2.12 tff(20930,plain,
% 1.95/2.12 ($false),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20929, 3175, 20923, 10756, 9290, 20921])).
% 1.95/2.12 tff(20931,plain,((~trans(s99, s47)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.12 tff(20932,plain,
% 1.95/2.12 (~trans(s99, s47)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20931, 9290])).
% 1.95/2.12 tff(20933,plain,
% 1.95/2.12 (~trans(s99, s56)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[17444, 9290])).
% 1.95/2.12 tff(20934,plain,
% 1.95/2.12 (~trans(s99, s50)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[17459, 9290])).
% 1.95/2.12 tff(20935,plain,
% 1.95/2.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s25)) | node2(s99, s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s25)) | node2(s99, s25))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20936,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s25)) | node2(s99, s25))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(20937,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s25)) | node2(s99, s25)),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20936, 20935])).
% 1.95/2.12 tff(20938,plain,
% 1.95/2.12 (node2(s99, s25)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20937, 4759, 7])).
% 1.95/2.12 tff(20939,plain,
% 1.95/2.12 (always3(s25)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[6098, 4759])).
% 1.95/2.12 tff(20940,plain,
% 1.95/2.12 (~m_main_v_state(s25, c_busy)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[7558, 3154, 20939])).
% 1.95/2.12 tff(20941,plain,
% 1.95/2.12 (((~![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(s25, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s25)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20942,plain,
% 1.95/2.12 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s25, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s25)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20943,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s25))))),
% 1.95/2.12 inference(monotonicity,[status(thm)],[20942])).
% 1.95/2.12 tff(20944,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s25)))),
% 1.95/2.12 inference(transitivity,[status(thm)],[20943, 20941])).
% 1.95/2.12 tff(20945,plain,
% 1.95/2.12 ((~![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(s99, c_ready)) | (~node2(s99, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(20946,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s25, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s25))),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20945, 20944])).
% 1.95/2.12 tff(20947,plain,
% 1.95/2.12 ($false),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20946, 3175, 20940, 10756, 9290, 20938])).
% 1.95/2.12 tff(20948,plain,((~trans(s99, s25)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.12 tff(20949,plain,
% 1.95/2.12 (~trans(s99, s25)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20948, 9290])).
% 1.95/2.12 tff(20950,plain,
% 1.95/2.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s22)) | node2(s99, s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s22)) | node2(s99, s22))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20951,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s22)) | node2(s99, s22))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(20952,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s22)) | node2(s99, s22)),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20951, 20950])).
% 1.95/2.12 tff(20953,plain,
% 1.95/2.12 (node2(s99, s22)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20952, 4792, 7])).
% 1.95/2.12 tff(20954,plain,
% 1.95/2.12 (always3(s22)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[6109, 4792])).
% 1.95/2.12 tff(20955,plain,
% 1.95/2.12 (~m_main_v_state(s22, c_busy)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[7404, 3154, 20954])).
% 1.95/2.12 tff(20956,plain,
% 1.95/2.12 (((~![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(s22, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s22)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20957,plain,
% 1.95/2.12 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s22, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s22)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20958,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s22))))),
% 1.95/2.12 inference(monotonicity,[status(thm)],[20957])).
% 1.95/2.12 tff(20959,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s22)))),
% 1.95/2.12 inference(transitivity,[status(thm)],[20958, 20956])).
% 1.95/2.12 tff(20960,plain,
% 1.95/2.12 ((~![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(s99, c_ready)) | (~node2(s99, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(20961,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s22, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s22))),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20960, 20959])).
% 1.95/2.12 tff(20962,plain,
% 1.95/2.12 ($false),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20961, 3175, 20955, 10756, 9290, 20953])).
% 1.95/2.12 tff(20963,plain,((~trans(s99, s22)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.12 tff(20964,plain,
% 1.95/2.12 (~trans(s99, s22)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20963, 9290])).
% 1.95/2.12 tff(20965,plain,
% 1.95/2.12 (~trans(s99, s66)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[16518, 9290])).
% 1.95/2.12 tff(20966,plain,
% 1.95/2.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s28)) | node2(s99, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s28)) | node2(s99, s28))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20967,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s28)) | node2(s99, s28))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(20968,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s28)) | node2(s99, s28)),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20967, 20966])).
% 1.95/2.12 tff(20969,plain,
% 1.95/2.12 (node2(s99, s28)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20968, 4803, 7])).
% 1.95/2.12 tff(20970,plain,
% 1.95/2.12 (always3(s28)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[6120, 4803])).
% 1.95/2.12 tff(20971,plain,
% 1.95/2.12 (~m_main_v_state(s28, c_busy)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[4062, 3154, 20970])).
% 1.95/2.12 tff(20972,plain,
% 1.95/2.12 (((~![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(s28, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s28)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20973,plain,
% 1.95/2.12 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s28, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s28)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20974,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s28))))),
% 1.95/2.12 inference(monotonicity,[status(thm)],[20973])).
% 1.95/2.12 tff(20975,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s28)))),
% 1.95/2.12 inference(transitivity,[status(thm)],[20974, 20972])).
% 1.95/2.12 tff(20976,plain,
% 1.95/2.12 ((~![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(s99, c_ready)) | (~node2(s99, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(20977,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s28, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s28))),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20976, 20975])).
% 1.95/2.12 tff(20978,plain,
% 1.95/2.12 ($false),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20977, 3175, 20971, 10756, 9290, 20969])).
% 1.95/2.12 tff(20979,plain,((~trans(s99, s28)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.12 tff(20980,plain,
% 1.95/2.12 (~trans(s99, s28)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20979, 9290])).
% 1.95/2.12 tff(20981,plain,
% 1.95/2.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s34)) | node2(s99, s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s34)) | node2(s99, s34))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20982,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s34)) | node2(s99, s34))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(20983,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s34)) | node2(s99, s34)),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20982, 20981])).
% 1.95/2.12 tff(20984,plain,
% 1.95/2.12 (node2(s99, s34)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20983, 4825, 7])).
% 1.95/2.12 tff(20985,plain,
% 1.95/2.12 (always3(s34)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[6141, 4825])).
% 1.95/2.12 tff(20986,plain,
% 1.95/2.12 (~m_main_v_state(s34, c_busy)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[7928, 3154, 20985])).
% 1.95/2.12 tff(20987,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s34)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20988,plain,
% 1.95/2.12 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s34, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s34)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20989,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s34))))),
% 1.95/2.12 inference(monotonicity,[status(thm)],[20988])).
% 1.95/2.12 tff(20990,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s34)))),
% 1.95/2.12 inference(transitivity,[status(thm)],[20989, 20987])).
% 1.95/2.12 tff(20991,plain,
% 1.95/2.12 ((~![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(s99, c_ready)) | (~node2(s99, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(20992,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s34, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s34))),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20991, 20990])).
% 1.95/2.12 tff(20993,plain,
% 1.95/2.12 ($false),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20992, 3175, 20986, 10756, 9290, 20984])).
% 1.95/2.12 tff(20994,plain,((~trans(s99, s34)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.12 tff(20995,plain,
% 1.95/2.12 (~trans(s99, s34)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20994, 9290])).
% 1.95/2.12 tff(20996,plain,
% 1.95/2.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s11)) | node2(s99, s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s11)) | node2(s99, s11))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(20997,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s11)) | node2(s99, s11))),
% 1.95/2.12 inference(quant_inst,[status(thm)],[])).
% 1.95/2.12 tff(20998,plain,
% 1.95/2.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s11)) | node2(s99, s11)),
% 1.95/2.12 inference(modus_ponens,[status(thm)],[20997, 20996])).
% 1.95/2.12 tff(20999,plain,
% 1.95/2.12 (node2(s99, s11)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[20998, 4847, 7])).
% 1.95/2.12 tff(21000,plain,
% 1.95/2.12 (always3(s11)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[6152, 4847])).
% 1.95/2.12 tff(21001,plain,
% 1.95/2.12 (~m_main_v_state(s11, c_busy)),
% 1.95/2.12 inference(unit_resolution,[status(thm)],[6953, 3154, 21000])).
% 1.95/2.12 tff(21002,plain,
% 1.95/2.12 (((~![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(s11, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s11)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(21003,plain,
% 1.95/2.12 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s11, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s11)))),
% 1.95/2.12 inference(rewrite,[status(thm)],[])).
% 1.95/2.12 tff(21004,plain,
% 1.95/2.12 (((~![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(s99, c_ready)) | (~node2(s99, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s11))))),
% 1.95/2.13 inference(monotonicity,[status(thm)],[21003])).
% 1.95/2.13 tff(21005,plain,
% 1.95/2.13 (((~![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(s99, c_ready)) | (~node2(s99, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s11)))),
% 1.95/2.13 inference(transitivity,[status(thm)],[21004, 21002])).
% 1.95/2.13 tff(21006,plain,
% 1.95/2.13 ((~![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(s99, c_ready)) | (~node2(s99, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(21007,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s11, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s11))),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[21006, 21005])).
% 1.95/2.13 tff(21008,plain,
% 1.95/2.13 ($false),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21007, 3175, 21001, 10756, 9290, 20999])).
% 1.95/2.13 tff(21009,plain,((~trans(s99, s11)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.13 tff(21010,plain,
% 1.95/2.13 (~trans(s99, s11)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21009, 9290])).
% 1.95/2.13 tff(21011,plain,
% 1.95/2.13 (~trans(s99, s67)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[16533, 9290])).
% 1.95/2.13 tff(21012,plain,
% 1.95/2.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s36)) | node2(s99, s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s36)) | node2(s99, s36))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21013,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s36)) | node2(s99, s36))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(21014,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s36)) | node2(s99, s36)),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[21013, 21012])).
% 1.95/2.13 tff(21015,plain,
% 1.95/2.13 (node2(s99, s36)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21014, 4913, 7])).
% 1.95/2.13 tff(21016,plain,
% 1.95/2.13 (always3(s36)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[6185, 4913])).
% 1.95/2.13 tff(21017,plain,
% 1.95/2.13 (~m_main_v_state(s36, c_busy)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[3902, 3154, 21016])).
% 1.95/2.13 tff(21018,plain,
% 1.95/2.13 (((~![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(s36, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s36)))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21019,plain,
% 1.95/2.13 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s36, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s36)))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21020,plain,
% 1.95/2.13 (((~![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(s99, c_ready)) | (~node2(s99, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s36))))),
% 1.95/2.13 inference(monotonicity,[status(thm)],[21019])).
% 1.95/2.13 tff(21021,plain,
% 1.95/2.13 (((~![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(s99, c_ready)) | (~node2(s99, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s36)))),
% 1.95/2.13 inference(transitivity,[status(thm)],[21020, 21018])).
% 1.95/2.13 tff(21022,plain,
% 1.95/2.13 ((~![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(s99, c_ready)) | (~node2(s99, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(21023,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s36, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s36))),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[21022, 21021])).
% 1.95/2.13 tff(21024,plain,
% 1.95/2.13 ($false),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21023, 3175, 21017, 10756, 9290, 21015])).
% 1.95/2.13 tff(21025,plain,((~trans(s99, s36)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.13 tff(21026,plain,
% 1.95/2.13 (~trans(s99, s36)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21025, 9290])).
% 1.95/2.13 tff(21027,plain,
% 1.95/2.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s21)) | node2(s99, s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s21)) | node2(s99, s21))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21028,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s21)) | node2(s99, s21))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(21029,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s21)) | node2(s99, s21)),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[21028, 21027])).
% 1.95/2.13 tff(21030,plain,
% 1.95/2.13 (node2(s99, s21)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21029, 5432, 7])).
% 1.95/2.13 tff(21031,plain,
% 1.95/2.13 (always3(s21)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[6440, 5432])).
% 1.95/2.13 tff(21032,plain,
% 1.95/2.13 (~m_main_v_state(s21, c_busy)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[7440, 3154, 21031])).
% 1.95/2.13 tff(21033,plain,
% 1.95/2.13 (((~![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(s21, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s21)))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21034,plain,
% 1.95/2.13 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s21, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s21)))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21035,plain,
% 1.95/2.13 (((~![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(s99, c_ready)) | (~node2(s99, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s21))))),
% 1.95/2.13 inference(monotonicity,[status(thm)],[21034])).
% 1.95/2.13 tff(21036,plain,
% 1.95/2.13 (((~![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(s99, c_ready)) | (~node2(s99, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s21)))),
% 1.95/2.13 inference(transitivity,[status(thm)],[21035, 21033])).
% 1.95/2.13 tff(21037,plain,
% 1.95/2.13 ((~![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(s99, c_ready)) | (~node2(s99, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(21038,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s21, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s21))),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[21037, 21036])).
% 1.95/2.13 tff(21039,plain,
% 1.95/2.13 ($false),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21038, 3175, 21032, 10756, 9290, 21030])).
% 1.95/2.13 tff(21040,plain,((~trans(s99, s21)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.13 tff(21041,plain,
% 1.95/2.13 (~trans(s99, s21)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21040, 9290])).
% 1.95/2.13 tff(21042,plain,
% 1.95/2.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s31)) | node2(s99, s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s31)) | node2(s99, s31))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21043,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s31)) | node2(s99, s31))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(21044,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s31)) | node2(s99, s31)),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[21043, 21042])).
% 1.95/2.13 tff(21045,plain,
% 1.95/2.13 (node2(s99, s31)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21044, 5465, 7])).
% 1.95/2.13 tff(21046,plain,
% 1.95/2.13 (always3(s31)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[6451, 5465])).
% 1.95/2.13 tff(21047,plain,
% 1.95/2.13 (~m_main_v_state(s31, c_busy)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[7860, 3154, 21046])).
% 1.95/2.13 tff(21048,plain,
% 1.95/2.13 (((~![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(s31, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s31)))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21049,plain,
% 1.95/2.13 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s31, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s31)))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21050,plain,
% 1.95/2.13 (((~![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(s99, c_ready)) | (~node2(s99, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s31))))),
% 1.95/2.13 inference(monotonicity,[status(thm)],[21049])).
% 1.95/2.13 tff(21051,plain,
% 1.95/2.13 (((~![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(s99, c_ready)) | (~node2(s99, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s31)))),
% 1.95/2.13 inference(transitivity,[status(thm)],[21050, 21048])).
% 1.95/2.13 tff(21052,plain,
% 1.95/2.13 ((~![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(s99, c_ready)) | (~node2(s99, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(21053,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s31, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s31))),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[21052, 21051])).
% 1.95/2.13 tff(21054,plain,
% 1.95/2.13 ($false),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21053, 3175, 21047, 10756, 9290, 21045])).
% 1.95/2.13 tff(21055,plain,((~trans(s99, s31)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.13 tff(21056,plain,
% 1.95/2.13 (~trans(s99, s31)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21055, 9290])).
% 1.95/2.13 tff(21057,plain,
% 1.95/2.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s43)) | node2(s99, s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s43)) | node2(s99, s43))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21058,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s43)) | node2(s99, s43))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(21059,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s43)) | node2(s99, s43)),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[21058, 21057])).
% 1.95/2.13 tff(21060,plain,
% 1.95/2.13 (node2(s99, s43)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21059, 4946, 7])).
% 1.95/2.13 tff(21061,plain,
% 1.95/2.13 (always3(s43)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[6196, 4946])).
% 1.95/2.13 tff(21062,plain,
% 1.95/2.13 (~m_main_v_state(s43, c_busy)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[15732, 3154, 21061])).
% 1.95/2.13 tff(21063,plain,
% 1.95/2.13 (((~![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(s43, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s43)))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21064,plain,
% 1.95/2.13 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s43, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s43)))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21065,plain,
% 1.95/2.13 (((~![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(s99, c_ready)) | (~node2(s99, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s43))))),
% 1.95/2.13 inference(monotonicity,[status(thm)],[21064])).
% 1.95/2.13 tff(21066,plain,
% 1.95/2.13 (((~![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(s99, c_ready)) | (~node2(s99, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s43)))),
% 1.95/2.13 inference(transitivity,[status(thm)],[21065, 21063])).
% 1.95/2.13 tff(21067,plain,
% 1.95/2.13 ((~![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(s99, c_ready)) | (~node2(s99, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(21068,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s43, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s43))),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[21067, 21066])).
% 1.95/2.13 tff(21069,plain,
% 1.95/2.13 ($false),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21068, 3175, 21062, 10756, 9290, 21060])).
% 1.95/2.13 tff(21070,plain,((~trans(s99, s43)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.13 tff(21071,plain,
% 1.95/2.13 (~trans(s99, s43)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21070, 9290])).
% 1.95/2.13 tff(21072,plain,
% 1.95/2.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s10)) | node2(s99, s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s10)) | node2(s99, s10))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21073,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s10)) | node2(s99, s10))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(21074,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s10)) | node2(s99, s10)),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[21073, 21072])).
% 1.95/2.13 tff(21075,plain,
% 1.95/2.13 (node2(s99, s10)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21074, 4957, 7])).
% 1.95/2.13 tff(21076,plain,
% 1.95/2.13 (always3(s10)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[6207, 4957])).
% 1.95/2.13 tff(21077,plain,
% 1.95/2.13 (~m_main_v_state(s10, c_busy)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[6960, 3154, 21076])).
% 1.95/2.13 tff(21078,plain,
% 1.95/2.13 (((~![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(s10, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s10)))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21079,plain,
% 1.95/2.13 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s10, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s10)))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21080,plain,
% 1.95/2.13 (((~![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(s99, c_ready)) | (~node2(s99, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s10))))),
% 1.95/2.13 inference(monotonicity,[status(thm)],[21079])).
% 1.95/2.13 tff(21081,plain,
% 1.95/2.13 (((~![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(s99, c_ready)) | (~node2(s99, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s10)))),
% 1.95/2.13 inference(transitivity,[status(thm)],[21080, 21078])).
% 1.95/2.13 tff(21082,plain,
% 1.95/2.13 ((~![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(s99, c_ready)) | (~node2(s99, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(21083,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s10, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s10))),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[21082, 21081])).
% 1.95/2.13 tff(21084,plain,
% 1.95/2.13 ($false),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21083, 3175, 21077, 10756, 9290, 21075])).
% 1.95/2.13 tff(21085,plain,((~trans(s99, s10)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.13 tff(21086,plain,
% 1.95/2.13 (~trans(s99, s10)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21085, 9290])).
% 1.95/2.13 tff(21087,plain,
% 1.95/2.13 (~trans(s99, s57)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[17477, 9290])).
% 1.95/2.13 tff(21088,plain,
% 1.95/2.13 (~trans(s99, s70)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[16554, 9290])).
% 1.95/2.13 tff(21089,plain,
% 1.95/2.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s18)) | node2(s99, s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s18)) | node2(s99, s18))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21090,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s18)) | node2(s99, s18))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(21091,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s18)) | node2(s99, s18)),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[21090, 21089])).
% 1.95/2.13 tff(21092,plain,
% 1.95/2.13 (node2(s99, s18)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21091, 5045, 7])).
% 1.95/2.13 tff(21093,plain,
% 1.95/2.13 (always3(s18)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[6229, 5045])).
% 1.95/2.13 tff(21094,plain,
% 1.95/2.13 (~m_main_v_state(s18, c_busy)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[7287, 3154, 21093])).
% 1.95/2.13 tff(21095,plain,
% 1.95/2.13 (((~![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(s18, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s18)))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21096,plain,
% 1.95/2.13 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s18, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s18)))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21097,plain,
% 1.95/2.13 (((~![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(s99, c_ready)) | (~node2(s99, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s18))))),
% 1.95/2.13 inference(monotonicity,[status(thm)],[21096])).
% 1.95/2.13 tff(21098,plain,
% 1.95/2.13 (((~![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(s99, c_ready)) | (~node2(s99, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s18)))),
% 1.95/2.13 inference(transitivity,[status(thm)],[21097, 21095])).
% 1.95/2.13 tff(21099,plain,
% 1.95/2.13 ((~![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(s99, c_ready)) | (~node2(s99, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(21100,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s18, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s18))),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[21099, 21098])).
% 1.95/2.13 tff(21101,plain,
% 1.95/2.13 ($false),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21100, 3175, 21094, 10756, 9290, 21092])).
% 1.95/2.13 tff(21102,plain,((~trans(s99, s18)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.13 tff(21103,plain,
% 1.95/2.13 (~trans(s99, s18)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21102, 9290])).
% 1.95/2.13 tff(21104,plain,
% 1.95/2.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s45)) | node2(s99, s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s45)) | node2(s99, s45))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21105,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s45)) | node2(s99, s45))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(21106,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s45)) | node2(s99, s45)),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[21105, 21104])).
% 1.95/2.13 tff(21107,plain,
% 1.95/2.13 (node2(s99, s45)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21106, 5056, 7])).
% 1.95/2.13 tff(21108,plain,
% 1.95/2.13 (always3(s45)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[6240, 5056])).
% 1.95/2.13 tff(21109,plain,
% 1.95/2.13 (~m_main_v_state(s45, c_busy)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[15669, 3154, 21108])).
% 1.95/2.13 tff(21110,plain,
% 1.95/2.13 (((~![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(s45, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s45)))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21111,plain,
% 1.95/2.13 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s45, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s45)))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21112,plain,
% 1.95/2.13 (((~![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(s99, c_ready)) | (~node2(s99, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s45))))),
% 1.95/2.13 inference(monotonicity,[status(thm)],[21111])).
% 1.95/2.13 tff(21113,plain,
% 1.95/2.13 (((~![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(s99, c_ready)) | (~node2(s99, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s45)))),
% 1.95/2.13 inference(transitivity,[status(thm)],[21112, 21110])).
% 1.95/2.13 tff(21114,plain,
% 1.95/2.13 ((~![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(s99, c_ready)) | (~node2(s99, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(21115,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s45, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s45))),
% 1.95/2.13 inference(modus_ponens,[status(thm)],[21114, 21113])).
% 1.95/2.13 tff(21116,plain,
% 1.95/2.13 ($false),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21115, 3175, 21109, 10756, 9290, 21107])).
% 1.95/2.13 tff(21117,plain,((~trans(s99, s45)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.13 tff(21118,plain,
% 1.95/2.13 (~trans(s99, s45)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[21117, 9290])).
% 1.95/2.13 tff(21119,plain,
% 1.95/2.13 (~trans(s99, s60)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[17493, 9290])).
% 1.95/2.13 tff(21120,plain,
% 1.95/2.13 (~trans(s99, s59)),
% 1.95/2.13 inference(unit_resolution,[status(thm)],[17508, 9290])).
% 1.95/2.13 tff(21121,plain,
% 1.95/2.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s8)) | node2(s99, s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s8)) | node2(s99, s8))),
% 1.95/2.13 inference(rewrite,[status(thm)],[])).
% 1.95/2.13 tff(21122,plain,
% 1.95/2.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s8)) | node2(s99, s8))),
% 1.95/2.13 inference(quant_inst,[status(thm)],[])).
% 1.95/2.13 tff(21123,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s8)) | node2(s99, s8)),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21122, 21121])).
% 1.95/2.14 tff(21124,plain,
% 1.95/2.14 (node2(s99, s8)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21123, 5100, 7])).
% 1.95/2.14 tff(21125,plain,
% 1.95/2.14 (always3(s8)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[6273, 5100])).
% 1.95/2.14 tff(21126,plain,
% 1.95/2.14 (~m_main_v_state(s8, c_busy)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[6562, 3154, 21125])).
% 1.95/2.14 tff(21127,plain,
% 1.95/2.14 (((~![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(s8, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s8)))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21128,plain,
% 1.95/2.14 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s8, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s8)))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21129,plain,
% 1.95/2.14 (((~![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(s99, c_ready)) | (~node2(s99, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s8))))),
% 1.95/2.14 inference(monotonicity,[status(thm)],[21128])).
% 1.95/2.14 tff(21130,plain,
% 1.95/2.14 (((~![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(s99, c_ready)) | (~node2(s99, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s8)))),
% 1.95/2.14 inference(transitivity,[status(thm)],[21129, 21127])).
% 1.95/2.14 tff(21131,plain,
% 1.95/2.14 ((~![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(s99, c_ready)) | (~node2(s99, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(21132,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s8, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s8))),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21131, 21130])).
% 1.95/2.14 tff(21133,plain,
% 1.95/2.14 ($false),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21132, 3175, 21126, 10756, 9290, 21124])).
% 1.95/2.14 tff(21134,plain,((~trans(s99, s8)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.14 tff(21135,plain,
% 1.95/2.14 (~trans(s99, s8)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21134, 9290])).
% 1.95/2.14 tff(21136,plain,
% 1.95/2.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s46)) | node2(s99, s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s46)) | node2(s99, s46))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21137,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s46)) | node2(s99, s46))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(21138,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s46)) | node2(s99, s46)),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21137, 21136])).
% 1.95/2.14 tff(21139,plain,
% 1.95/2.14 (node2(s99, s46)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21138, 5509, 7])).
% 1.95/2.14 tff(21140,plain,
% 1.95/2.14 (always3(s46)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[6484, 5509])).
% 1.95/2.14 tff(21141,plain,
% 1.95/2.14 (~m_main_v_state(s46, c_busy)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[15662, 3154, 21140])).
% 1.95/2.14 tff(21142,plain,
% 1.95/2.14 (((~![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(s46, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s46)))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21143,plain,
% 1.95/2.14 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s46, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s46)))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21144,plain,
% 1.95/2.14 (((~![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(s99, c_ready)) | (~node2(s99, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s46))))),
% 1.95/2.14 inference(monotonicity,[status(thm)],[21143])).
% 1.95/2.14 tff(21145,plain,
% 1.95/2.14 (((~![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(s99, c_ready)) | (~node2(s99, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s46)))),
% 1.95/2.14 inference(transitivity,[status(thm)],[21144, 21142])).
% 1.95/2.14 tff(21146,plain,
% 1.95/2.14 ((~![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(s99, c_ready)) | (~node2(s99, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(21147,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s46, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s46))),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21146, 21145])).
% 1.95/2.14 tff(21148,plain,
% 1.95/2.14 ($false),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21147, 3175, 21141, 10756, 9290, 21139])).
% 1.95/2.14 tff(21149,plain,((~trans(s99, s46)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.14 tff(21150,plain,
% 1.95/2.14 (~trans(s99, s46)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21149, 9290])).
% 1.95/2.14 tff(21151,plain,
% 1.95/2.14 (~node2(s99, s77)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[16538, 9290])).
% 1.95/2.14 tff(21152,plain,
% 1.95/2.14 (~trans(s99, s77)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[17513, 21151])).
% 1.95/2.14 tff(21153,plain,
% 1.95/2.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s30)) | node2(s99, s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s30)) | node2(s99, s30))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21154,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s30)) | node2(s99, s30))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(21155,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s30)) | node2(s99, s30)),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21154, 21153])).
% 1.95/2.14 tff(21156,plain,
% 1.95/2.14 (node2(s99, s30)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21155, 5144, 7])).
% 1.95/2.14 tff(21157,plain,
% 1.95/2.14 (always3(s30)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[6295, 5144])).
% 1.95/2.14 tff(21158,plain,
% 1.95/2.14 (~m_main_v_state(s30, c_busy)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[7697, 3154, 21157])).
% 1.95/2.14 tff(21159,plain,
% 1.95/2.14 (((~![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(s30, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s30)))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21160,plain,
% 1.95/2.14 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s30, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s30)))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21161,plain,
% 1.95/2.14 (((~![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(s99, c_ready)) | (~node2(s99, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s30))))),
% 1.95/2.14 inference(monotonicity,[status(thm)],[21160])).
% 1.95/2.14 tff(21162,plain,
% 1.95/2.14 (((~![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(s99, c_ready)) | (~node2(s99, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s30)))),
% 1.95/2.14 inference(transitivity,[status(thm)],[21161, 21159])).
% 1.95/2.14 tff(21163,plain,
% 1.95/2.14 ((~![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(s99, c_ready)) | (~node2(s99, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(21164,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s30, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s30))),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21163, 21162])).
% 1.95/2.14 tff(21165,plain,
% 1.95/2.14 ($false),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21164, 3175, 21158, 10756, 9290, 21156])).
% 1.95/2.14 tff(21166,plain,((~trans(s99, s30)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.14 tff(21167,plain,
% 1.95/2.14 (~trans(s99, s30)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21166, 9290])).
% 1.95/2.14 tff(21168,plain,
% 1.95/2.14 (~trans(s99, s64)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[17528, 9290])).
% 1.95/2.14 tff(21169,plain,
% 1.95/2.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s23)) | node2(s99, s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s23)) | node2(s99, s23))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21170,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s23)) | node2(s99, s23))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(21171,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s23)) | node2(s99, s23)),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21170, 21169])).
% 1.95/2.14 tff(21172,plain,
% 1.95/2.14 (node2(s99, s23)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21171, 5201, 7])).
% 1.95/2.14 tff(21173,plain,
% 1.95/2.14 (always3(s23)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[6330, 5201])).
% 1.95/2.14 tff(21174,plain,
% 1.95/2.14 (~m_main_v_state(s23, c_busy)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[4160, 3154, 21173])).
% 1.95/2.14 tff(21175,plain,
% 1.95/2.14 (((~![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(s23, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s23)))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21176,plain,
% 1.95/2.14 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s23, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s23)))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21177,plain,
% 1.95/2.14 (((~![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(s99, c_ready)) | (~node2(s99, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s23))))),
% 1.95/2.14 inference(monotonicity,[status(thm)],[21176])).
% 1.95/2.14 tff(21178,plain,
% 1.95/2.14 (((~![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(s99, c_ready)) | (~node2(s99, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s23)))),
% 1.95/2.14 inference(transitivity,[status(thm)],[21177, 21175])).
% 1.95/2.14 tff(21179,plain,
% 1.95/2.14 ((~![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(s99, c_ready)) | (~node2(s99, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(21180,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s23, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s23))),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21179, 21178])).
% 1.95/2.14 tff(21181,plain,
% 1.95/2.14 ($false),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21180, 3175, 21174, 10756, 9290, 21172])).
% 1.95/2.14 tff(21182,plain,((~trans(s99, s23)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.14 tff(21183,plain,
% 1.95/2.14 (~trans(s99, s23)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21182, 9290])).
% 1.95/2.14 tff(21184,plain,
% 1.95/2.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s35)) | node2(s99, s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s35)) | node2(s99, s35))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21185,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s35)) | node2(s99, s35))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(21186,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s35)) | node2(s99, s35)),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21185, 21184])).
% 1.95/2.14 tff(21187,plain,
% 1.95/2.14 (node2(s99, s35)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21186, 5133, 7])).
% 1.95/2.14 tff(21188,plain,
% 1.95/2.14 (always3(s35)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[6284, 5133])).
% 1.95/2.14 tff(21189,plain,
% 1.95/2.14 (~m_main_v_state(s35, c_busy)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[7905, 3154, 21188])).
% 1.95/2.14 tff(21190,plain,
% 1.95/2.14 (((~![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(s35, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s35)))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21191,plain,
% 1.95/2.14 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s35, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s35)))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21192,plain,
% 1.95/2.14 (((~![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(s99, c_ready)) | (~node2(s99, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s35))))),
% 1.95/2.14 inference(monotonicity,[status(thm)],[21191])).
% 1.95/2.14 tff(21193,plain,
% 1.95/2.14 (((~![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(s99, c_ready)) | (~node2(s99, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s35)))),
% 1.95/2.14 inference(transitivity,[status(thm)],[21192, 21190])).
% 1.95/2.14 tff(21194,plain,
% 1.95/2.14 ((~![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(s99, c_ready)) | (~node2(s99, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(21195,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s35, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s35))),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21194, 21193])).
% 1.95/2.14 tff(21196,plain,
% 1.95/2.14 ($false),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21195, 3175, 21189, 10756, 9290, 21187])).
% 1.95/2.14 tff(21197,plain,((~trans(s99, s35)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.14 tff(21198,plain,
% 1.95/2.14 (~trans(s99, s35)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21197, 9290])).
% 1.95/2.14 tff(21199,plain,
% 1.95/2.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s27)) | node2(s99, s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s27)) | node2(s99, s27))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21200,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s27)) | node2(s99, s27))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(21201,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s27)) | node2(s99, s27)),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21200, 21199])).
% 1.95/2.14 tff(21202,plain,
% 1.95/2.14 (node2(s99, s27)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21201, 5234, 7])).
% 1.95/2.14 tff(21203,plain,
% 1.95/2.14 (always3(s27)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[6341, 5234])).
% 1.95/2.14 tff(21204,plain,
% 1.95/2.14 (~m_main_v_state(s27, c_busy)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[4078, 3154, 21203])).
% 1.95/2.14 tff(21205,plain,
% 1.95/2.14 (((~![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(s27, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s27)))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21206,plain,
% 1.95/2.14 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s27, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s27)))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21207,plain,
% 1.95/2.14 (((~![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(s99, c_ready)) | (~node2(s99, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s27))))),
% 1.95/2.14 inference(monotonicity,[status(thm)],[21206])).
% 1.95/2.14 tff(21208,plain,
% 1.95/2.14 (((~![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(s99, c_ready)) | (~node2(s99, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s27)))),
% 1.95/2.14 inference(transitivity,[status(thm)],[21207, 21205])).
% 1.95/2.14 tff(21209,plain,
% 1.95/2.14 ((~![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(s99, c_ready)) | (~node2(s99, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(21210,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s27, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s27))),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21209, 21208])).
% 1.95/2.14 tff(21211,plain,
% 1.95/2.14 ($false),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21210, 3175, 21204, 10756, 9290, 21202])).
% 1.95/2.14 tff(21212,plain,((~trans(s99, s27)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.14 tff(21213,plain,
% 1.95/2.14 (~trans(s99, s27)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21212, 9290])).
% 1.95/2.14 tff(21214,plain,
% 1.95/2.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s33)) | node2(s99, s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s33)) | node2(s99, s33))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21215,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s33)) | node2(s99, s33))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(21216,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s33)) | node2(s99, s33)),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21215, 21214])).
% 1.95/2.14 tff(21217,plain,
% 1.95/2.14 (node2(s99, s33)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21216, 5531, 7])).
% 1.95/2.14 tff(21218,plain,
% 1.95/2.14 (always3(s33)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[6462, 5531])).
% 1.95/2.14 tff(21219,plain,
% 1.95/2.14 (~m_main_v_state(s33, c_busy)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[3968, 3154, 21218])).
% 1.95/2.14 tff(21220,plain,
% 1.95/2.14 (((~![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(s33, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s33)))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21221,plain,
% 1.95/2.14 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s33, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s33)))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21222,plain,
% 1.95/2.14 (((~![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(s99, c_ready)) | (~node2(s99, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s33))))),
% 1.95/2.14 inference(monotonicity,[status(thm)],[21221])).
% 1.95/2.14 tff(21223,plain,
% 1.95/2.14 (((~![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(s99, c_ready)) | (~node2(s99, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s33)))),
% 1.95/2.14 inference(transitivity,[status(thm)],[21222, 21220])).
% 1.95/2.14 tff(21224,plain,
% 1.95/2.14 ((~![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(s99, c_ready)) | (~node2(s99, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(21225,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s33, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s33))),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21224, 21223])).
% 1.95/2.14 tff(21226,plain,
% 1.95/2.14 ($false),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21225, 3175, 21219, 10756, 9290, 21217])).
% 1.95/2.14 tff(21227,plain,((~trans(s99, s33)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.14 tff(21228,plain,
% 1.95/2.14 (~trans(s99, s33)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21227, 9290])).
% 1.95/2.14 tff(21229,plain,
% 1.95/2.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s32)) | node2(s99, s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s32)) | node2(s99, s32))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21230,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s32)) | node2(s99, s32))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(21231,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s32)) | node2(s99, s32)),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21230, 21229])).
% 1.95/2.14 tff(21232,plain,
% 1.95/2.14 (node2(s99, s32)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21231, 5278, 7])).
% 1.95/2.14 tff(21233,plain,
% 1.95/2.14 (always3(s32)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[6363, 5278])).
% 1.95/2.14 tff(21234,plain,
% 1.95/2.14 (~m_main_v_state(s32, c_busy)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[3984, 3154, 21233])).
% 1.95/2.14 tff(21235,plain,
% 1.95/2.14 (((~![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(s32, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s32)))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21236,plain,
% 1.95/2.14 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s32, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s32)))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21237,plain,
% 1.95/2.14 (((~![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(s99, c_ready)) | (~node2(s99, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s32))))),
% 1.95/2.14 inference(monotonicity,[status(thm)],[21236])).
% 1.95/2.14 tff(21238,plain,
% 1.95/2.14 (((~![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(s99, c_ready)) | (~node2(s99, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s32)))),
% 1.95/2.14 inference(transitivity,[status(thm)],[21237, 21235])).
% 1.95/2.14 tff(21239,plain,
% 1.95/2.14 ((~![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(s99, c_ready)) | (~node2(s99, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(21240,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s32, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s32))),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21239, 21238])).
% 1.95/2.14 tff(21241,plain,
% 1.95/2.14 ($false),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21240, 3175, 21234, 10756, 9290, 21232])).
% 1.95/2.14 tff(21242,plain,((~trans(s99, s32)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.14 tff(21243,plain,
% 1.95/2.14 (~trans(s99, s32)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21242, 9290])).
% 1.95/2.14 tff(21244,plain,
% 1.95/2.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s40)) | node2(s99, s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s40)) | node2(s99, s40))),
% 1.95/2.14 inference(rewrite,[status(thm)],[])).
% 1.95/2.14 tff(21245,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s40)) | node2(s99, s40))),
% 1.95/2.14 inference(quant_inst,[status(thm)],[])).
% 1.95/2.14 tff(21246,plain,
% 1.95/2.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s40)) | node2(s99, s40)),
% 1.95/2.14 inference(modus_ponens,[status(thm)],[21245, 21244])).
% 1.95/2.14 tff(21247,plain,
% 1.95/2.14 (node2(s99, s40)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[21246, 5388, 7])).
% 1.95/2.14 tff(21248,plain,
% 1.95/2.14 (always3(s40)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[6429, 5388])).
% 1.95/2.14 tff(21249,plain,
% 1.95/2.14 (~m_main_v_state(s40, c_busy)),
% 1.95/2.14 inference(unit_resolution,[status(thm)],[15815, 3154, 21248])).
% 1.95/2.14 tff(21250,plain,
% 1.95/2.14 (((~![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(s40, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s40)))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(21251,plain,
% 1.95/2.15 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s40, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s40)))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(21252,plain,
% 1.95/2.15 (((~![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(s99, c_ready)) | (~node2(s99, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s40))))),
% 1.95/2.15 inference(monotonicity,[status(thm)],[21251])).
% 1.95/2.15 tff(21253,plain,
% 1.95/2.15 (((~![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(s99, c_ready)) | (~node2(s99, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s40)))),
% 1.95/2.15 inference(transitivity,[status(thm)],[21252, 21250])).
% 1.95/2.15 tff(21254,plain,
% 1.95/2.15 ((~![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(s99, c_ready)) | (~node2(s99, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.15 inference(quant_inst,[status(thm)],[])).
% 1.95/2.15 tff(21255,plain,
% 1.95/2.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s40, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s40))),
% 1.95/2.15 inference(modus_ponens,[status(thm)],[21254, 21253])).
% 1.95/2.15 tff(21256,plain,
% 1.95/2.15 ($false),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[21255, 3175, 21249, 10756, 9290, 21247])).
% 1.95/2.15 tff(21257,plain,((~trans(s99, s40)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.15 tff(21258,plain,
% 1.95/2.15 (~trans(s99, s40)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[21257, 9290])).
% 1.95/2.15 tff(21259,plain,
% 1.95/2.15 (~node2(s99, s76)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[16566, 9290])).
% 1.95/2.15 tff(21260,plain,
% 1.95/2.15 (~trans(s99, s76)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[16573, 21259])).
% 1.95/2.15 tff(21261,plain,
% 1.95/2.15 (~trans(s99, s63)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[17560, 9290])).
% 1.95/2.15 tff(21262,plain,
% 1.95/2.15 (~trans(s99, s73)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[16604, 9290])).
% 1.95/2.15 tff(21263,plain,
% 1.95/2.15 (~trans(s99, s94)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[13134, 9290])).
% 1.95/2.15 tff(21264,plain,
% 1.95/2.15 (~trans(s99, s98)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[13139, 9290])).
% 1.95/2.15 tff(21265,plain,
% 1.95/2.15 (~trans(s99, s83)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[13144, 9290])).
% 1.95/2.15 tff(21266,plain,
% 1.95/2.15 (~trans(s99, s55)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[17592, 9290])).
% 1.95/2.15 tff(21267,plain,
% 1.95/2.15 (~trans(s99, s1)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6407, 20764])).
% 1.95/2.15 tff(21268,plain,
% 1.95/2.15 (trans(s99, s26)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[16606, 21267, 21266, 9290, 21265, 13158, 21264, 13160, 21263, 9506, 13170, 9507, 21262, 10903, 8228, 21261, 21260, 21258, 21243, 21228, 13174, 21213, 21198, 21183, 21168, 21167, 21152, 21150, 21135, 21120, 21119, 21118, 21103, 21088, 21087, 21086, 21071, 21056, 21041, 21026, 13173, 21011, 21010, 20995, 20980, 20965, 20964, 20949, 20934, 20933, 20932, 20917, 20916, 20915, 20914, 20913, 20898, 20883, 20882, 13172, 13171, 13156, 20867, 20852, 20839, 13155, 20826, 20812, 20799, 20786, 20772, 20771, 20770, 20769, 20768, 20767, 13157, 20710, 20766, 20763, 20762, 20754, 20705, 13154, 20753, 20703, 20752, 20701, 20751, 20699, 20698, 20744, 20743, 20742, 20680, 20678])).
% 1.95/2.15 tff(21269,plain,
% 1.95/2.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s26)) | node2(s99, s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s26)) | node2(s99, s26))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(21270,plain,
% 1.95/2.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s26)) | node2(s99, s26))),
% 1.95/2.15 inference(quant_inst,[status(thm)],[])).
% 1.95/2.15 tff(21271,plain,
% 1.95/2.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s26)) | node2(s99, s26)),
% 1.95/2.15 inference(modus_ponens,[status(thm)],[21270, 21269])).
% 1.95/2.15 tff(21272,plain,
% 1.95/2.15 (node2(s99, s26)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[21271, 21268, 7])).
% 1.95/2.15 tff(21273,plain,
% 1.95/2.15 (~trans(s99, s15)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[5943, 7597])).
% 1.95/2.15 tff(21274,plain,
% 1.95/2.15 (~trans(s99, s26)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6251, 6242])).
% 1.95/2.15 tff(21275,plain,
% 1.95/2.15 (~trans(s99, s16)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6374, 7595])).
% 1.95/2.15 tff(21276,plain,
% 1.95/2.15 (~trans(s99, s20)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6174, 7590])).
% 1.95/2.15 tff(21277,plain,
% 1.95/2.15 (~trans(s99, s17)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6385, 7593])).
% 1.95/2.15 tff(21278,plain,
% 1.95/2.15 (~trans(s99, s24)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6352, 7574])).
% 1.95/2.15 tff(21279,plain,
% 1.95/2.15 (~always3(s14)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[1942, 7597])).
% 1.95/2.15 tff(21280,plain,
% 1.95/2.15 (~trans(s99, s14)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6262, 21279])).
% 1.95/2.15 tff(21281,plain,
% 1.95/2.15 (trans(s99, s9)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[16606, 21280, 21266, 9290, 21265, 13158, 21264, 13160, 21263, 9506, 13170, 9507, 21262, 10903, 8228, 21261, 21260, 21258, 21243, 21228, 13174, 21213, 21198, 21183, 21168, 21167, 21152, 21150, 21135, 21120, 21119, 21118, 21103, 21088, 21087, 21086, 21071, 21056, 21041, 21026, 13173, 21011, 21010, 20995, 20980, 20965, 20964, 20949, 20934, 20933, 20932, 20917, 20916, 20915, 20914, 20913, 20898, 20883, 20882, 13172, 13171, 13156, 20867, 20852, 20839, 13155, 20826, 20812, 20799, 8424, 20772, 20771, 8408, 8298, 8357, 8420, 13157, 20710, 8356, 8276, 8275, 8338, 20705, 13154, 21278, 20703, 21277, 20701, 21276, 20699, 20698, 21275, 21274, 21273, 20680, 20678])).
% 1.95/2.15 tff(21282,plain,
% 1.95/2.15 (always3(s9)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6131, 21281])).
% 1.95/2.15 tff(21283,plain,
% 1.95/2.15 (~always3(s13)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[1954, 21279])).
% 1.95/2.15 tff(21284,plain,
% 1.95/2.15 (~always3(s12)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[1966, 21283])).
% 1.95/2.15 tff(21285,plain,
% 1.95/2.15 (~always3(s11)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[1978, 21284])).
% 1.95/2.15 tff(21286,plain,
% 1.95/2.15 (~always3(s10)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[1990, 21285])).
% 1.95/2.15 tff(21287,plain,
% 1.95/2.15 ($false),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[2002, 21286, 21282])).
% 1.95/2.15 tff(21288,plain,(always3(s26) | (~m_main_v_request(s99)) | trans(s99, s65) | trans(s99, s51) | trans(s99, s74) | trans(s99, s48) | trans(s99, s6) | trans(s99, s7) | trans(s99, s5) | trans(s99, s3) | trans(s99, s1) | trans(s99, s0) | trans(s99, s4) | trans(s99, s2) | trans(s99, s12)), inference(lemma,lemma(discharge,[]))).
% 1.95/2.15 tff(21289,plain,
% 1.95/2.15 (always3(s26)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[21288, 21267, 9506, 9507, 10903, 8228, 20754, 20770, 20769, 20768, 20767, 20766, 20763, 20762, 9290])).
% 1.95/2.15 tff(21290,plain,
% 1.95/2.15 (~m_main_v_state(s26, c_busy)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[7627, 3154, 21289])).
% 1.95/2.15 tff(21291,plain,
% 1.95/2.15 (((~![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(s26, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s26)))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(21292,plain,
% 1.95/2.15 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s26, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s26)))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(21293,plain,
% 1.95/2.15 (((~![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(s99, c_ready)) | (~node2(s99, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s26))))),
% 1.95/2.15 inference(monotonicity,[status(thm)],[21292])).
% 1.95/2.15 tff(21294,plain,
% 1.95/2.15 (((~![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(s99, c_ready)) | (~node2(s99, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s26)))),
% 1.95/2.15 inference(transitivity,[status(thm)],[21293, 21291])).
% 1.95/2.15 tff(21295,plain,
% 1.95/2.15 ((~![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(s99, c_ready)) | (~node2(s99, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.15 inference(quant_inst,[status(thm)],[])).
% 1.95/2.15 tff(21296,plain,
% 1.95/2.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s26, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s26))),
% 1.95/2.15 inference(modus_ponens,[status(thm)],[21295, 21294])).
% 1.95/2.15 tff(21297,plain,
% 1.95/2.15 ($false),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[21296, 3175, 21290, 10756, 9290, 21272])).
% 1.95/2.15 tff(21298,plain,(always3(s20) | (~m_main_v_request(s99)) | trans(s99, s65) | trans(s99, s51) | trans(s99, s74) | trans(s99, s48)), inference(lemma,lemma(discharge,[]))).
% 1.95/2.15 tff(21299,plain,
% 1.95/2.15 (always3(s20)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[21298, 9290, 9506, 9507, 10903, 8228])).
% 1.95/2.15 tff(21300,plain,
% 1.95/2.15 (~m_main_v_state(s20, c_busy)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[7432, 3154, 21299])).
% 1.95/2.15 tff(21301,assumption,(node2(s99, s20)), introduced(assumption)).
% 1.95/2.15 tff(21302,assumption,(~m_main_v_state(s20, c_busy)), introduced(assumption)).
% 1.95/2.15 tff(21303,plain,
% 1.95/2.15 (((~![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(s20, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s20)))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(21304,plain,
% 1.95/2.15 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s20, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s20)))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(21305,plain,
% 1.95/2.15 (((~![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(s99, c_ready)) | (~node2(s99, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s20))))),
% 1.95/2.15 inference(monotonicity,[status(thm)],[21304])).
% 1.95/2.15 tff(21306,plain,
% 1.95/2.15 (((~![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(s99, c_ready)) | (~node2(s99, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s20)))),
% 1.95/2.15 inference(transitivity,[status(thm)],[21305, 21303])).
% 1.95/2.15 tff(21307,plain,
% 1.95/2.15 ((~![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(s99, c_ready)) | (~node2(s99, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.15 inference(quant_inst,[status(thm)],[])).
% 1.95/2.15 tff(21308,plain,
% 1.95/2.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s20, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s20))),
% 1.95/2.15 inference(modus_ponens,[status(thm)],[21307, 21306])).
% 1.95/2.15 tff(21309,plain,
% 1.95/2.15 ($false),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[21308, 3175, 21302, 10756, 9290, 21301])).
% 1.95/2.15 tff(21310,plain,((~node2(s99, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.15 tff(21311,plain,
% 1.95/2.15 (~node2(s99, s20)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[21310, 21300, 9290])).
% 1.95/2.15 tff(21312,plain,
% 1.95/2.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s20)) | node2(s99, s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s20)) | node2(s99, s20))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(21313,plain,
% 1.95/2.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s20)) | node2(s99, s20))),
% 1.95/2.15 inference(quant_inst,[status(thm)],[])).
% 1.95/2.15 tff(21314,plain,
% 1.95/2.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s20)) | node2(s99, s20)),
% 1.95/2.15 inference(modus_ponens,[status(thm)],[21313, 21312])).
% 1.95/2.15 tff(21315,plain,
% 1.95/2.15 (~trans(s99, s20)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[21314, 7, 21311])).
% 1.95/2.15 tff(21316,plain,
% 1.95/2.15 (always3(s21)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[378, 21299])).
% 1.95/2.15 tff(21317,plain,
% 1.95/2.15 (always3(s22)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[366, 21316])).
% 1.95/2.15 tff(21318,plain,
% 1.95/2.15 (always3(s23)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[354, 21317])).
% 1.95/2.15 tff(21319,plain,
% 1.95/2.15 (always3(s24)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[342, 21318])).
% 1.95/2.15 tff(21320,plain,
% 1.95/2.15 (always3(s25)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[330, 21319])).
% 1.95/2.15 tff(21321,plain,
% 1.95/2.15 (always3(s26)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[318, 21320])).
% 1.95/2.15 tff(21322,plain,
% 1.95/2.15 (~m_main_v_state(s26, c_busy)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[7627, 3154, 21321])).
% 1.95/2.15 tff(21323,assumption,(node2(s99, s26)), introduced(assumption)).
% 1.95/2.15 tff(21324,assumption,(~m_main_v_state(s26, c_busy)), introduced(assumption)).
% 1.95/2.15 tff(21325,plain,
% 1.95/2.15 ($false),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[21296, 3175, 21324, 10756, 9290, 21323])).
% 1.95/2.15 tff(21326,plain,((~node2(s99, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.95/2.15 tff(21327,plain,
% 1.95/2.15 (~node2(s99, s26)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[21326, 21322, 9290])).
% 1.95/2.15 tff(21328,plain,
% 1.95/2.15 (~trans(s99, s26)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[21271, 7, 21327])).
% 1.95/2.15 tff(21329,plain,
% 1.95/2.15 (~trans(s99, s1)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6407, 20693])).
% 1.95/2.15 tff(21330,plain,
% 1.95/2.15 (trans(s99, s17)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[16606, 21329, 21266, 9290, 21265, 13158, 21264, 13160, 21263, 9506, 13170, 9507, 21262, 10903, 8228, 21261, 21260, 21258, 21243, 21228, 13174, 21213, 21198, 21183, 21168, 21167, 21152, 21150, 21135, 21120, 21119, 21118, 21103, 21088, 21087, 21086, 21071, 21056, 21041, 21026, 13173, 21011, 21010, 20995, 20980, 20965, 20964, 20949, 20934, 20933, 20932, 20917, 20916, 20915, 20914, 20913, 20898, 20883, 20882, 13172, 13171, 13156, 20867, 20852, 20839, 13155, 20826, 20812, 20799, 20786, 20772, 20771, 21328, 21315, 20737, 20724, 13157, 20710, 20709, 20708, 20707, 20706, 20705, 13154, 20704, 20703, 20702, 20701, 20700, 20699, 20698, 20697, 20696, 20695, 20680, 20678])).
% 1.95/2.15 tff(21331,plain,
% 1.95/2.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s17)) | node2(s99, s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s17)) | node2(s99, s17))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(21332,plain,
% 1.95/2.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s17)) | node2(s99, s17))),
% 1.95/2.15 inference(quant_inst,[status(thm)],[])).
% 1.95/2.15 tff(21333,plain,
% 1.95/2.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s17)) | node2(s99, s17)),
% 1.95/2.15 inference(modus_ponens,[status(thm)],[21332, 21331])).
% 1.95/2.15 tff(21334,plain,
% 1.95/2.15 (node2(s99, s17)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[21333, 21330, 7])).
% 1.95/2.15 tff(21335,plain,
% 1.95/2.15 (~always3(s15)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[438, 7273])).
% 1.95/2.15 tff(21336,plain,
% 1.95/2.15 (~trans(s99, s15)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[5943, 21335])).
% 1.95/2.15 tff(21337,plain,
% 1.95/2.15 (~always3(s14)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[1942, 21335])).
% 1.95/2.15 tff(21338,plain,
% 1.95/2.15 (~always3(s13)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[1954, 21337])).
% 1.95/2.15 tff(21339,plain,
% 1.95/2.15 (~always3(s12)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[1966, 21338])).
% 1.95/2.15 tff(21340,plain,
% 1.95/2.15 (~always3(s11)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[1978, 21339])).
% 1.95/2.15 tff(21341,plain,
% 1.95/2.15 (~always3(s10)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[1990, 21340])).
% 1.95/2.15 tff(21342,plain,
% 1.95/2.15 (~always3(s9)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[2002, 21341])).
% 1.95/2.15 tff(21343,plain,
% 1.95/2.15 (~always3(s8)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[2014, 21342])).
% 1.95/2.15 tff(21344,plain,
% 1.95/2.15 (~always3(s7)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[2026, 21343])).
% 1.95/2.15 tff(21345,plain,
% 1.95/2.15 (~always3(s6)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[2038, 21344])).
% 1.95/2.15 tff(21346,plain,
% 1.95/2.15 (~always3(s5)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[2050, 21345])).
% 1.95/2.15 tff(21347,plain,
% 1.95/2.15 (~trans(s99, s5)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6163, 21346])).
% 1.95/2.15 tff(21348,plain,
% 1.95/2.15 (~trans(s99, s16)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6374, 7273])).
% 1.95/2.15 tff(21349,plain,
% 1.95/2.15 (~trans(s99, s9)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6131, 21342])).
% 1.95/2.15 tff(21350,plain,
% 1.95/2.15 (~trans(s99, s17)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6385, 6376])).
% 1.95/2.15 tff(21351,plain,
% 1.95/2.15 (~trans(s99, s14)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6262, 21337])).
% 1.95/2.15 tff(21352,plain,
% 1.95/2.15 (~trans(s99, s7)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6396, 21344])).
% 1.95/2.15 tff(21353,plain,
% 1.95/2.15 (~always3(s4)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[2062, 21346])).
% 1.95/2.15 tff(21354,plain,
% 1.95/2.15 (~always3(s3)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[2074, 21353])).
% 1.95/2.15 tff(21355,plain,
% 1.95/2.15 (~always3(s2)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[2086, 21354])).
% 1.95/2.15 tff(21356,plain,
% 1.95/2.15 (~trans(s99, s2)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6032, 21355])).
% 1.95/2.15 tff(21357,plain,
% 1.95/2.15 (~always3(s1)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[2098, 21355])).
% 1.95/2.15 tff(21358,plain,
% 1.95/2.15 (~trans(s99, s1)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[6407, 21357])).
% 1.95/2.15 tff(21359,plain,
% 1.95/2.15 ($false),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[16606, 21358, 21356, 21266, 9290, 21265, 13158, 21264, 13160, 21263, 9506, 13170, 9507, 21262, 10903, 8228, 21261, 21260, 21258, 21243, 21228, 13174, 21213, 21198, 21183, 21168, 21167, 21152, 21150, 21135, 21120, 21119, 21118, 21103, 21088, 21087, 21086, 21071, 21056, 21041, 21026, 13173, 21011, 21010, 20995, 20980, 20965, 20964, 20949, 20934, 20933, 20932, 20917, 20916, 20915, 20914, 20913, 20898, 20883, 20882, 13172, 13171, 13156, 20867, 20852, 20839, 13155, 20826, 20812, 20799, 20786, 20772, 20771, 21328, 21315, 8424, 8357, 13157, 20710, 8356, 8276, 21352, 8338, 20705, 13154, 21351, 20703, 21350, 20701, 21349, 20699, 20698, 21348, 21347, 21336, 20680, 20678])).
% 1.95/2.15 tff(21360,plain,(always3(s17) | (~m_main_v_request(s99)) | trans(s99, s65) | trans(s99, s51) | trans(s99, s74) | trans(s99, s48) | trans(s99, s6) | trans(s99, s3) | trans(s99, s0) | trans(s99, s4) | trans(s99, s12)), inference(lemma,lemma(discharge,[]))).
% 1.95/2.15 tff(21361,plain,
% 1.95/2.15 (always3(s17)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[21360, 20695, 9506, 9507, 10903, 8228, 20709, 9290, 20697, 20708, 20706])).
% 1.95/2.15 tff(21362,plain,
% 1.95/2.15 (~m_main_v_state(s17, c_busy)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[4262, 3154, 21361])).
% 1.95/2.15 tff(21363,plain,
% 1.95/2.15 (((~![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(s17, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s17)))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(21364,plain,
% 1.95/2.15 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s17, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s17)))),
% 1.95/2.15 inference(rewrite,[status(thm)],[])).
% 1.95/2.15 tff(21365,plain,
% 1.95/2.15 (((~![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(s99, c_ready)) | (~node2(s99, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s17))))),
% 1.95/2.15 inference(monotonicity,[status(thm)],[21364])).
% 1.95/2.15 tff(21366,plain,
% 1.95/2.15 (((~![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(s99, c_ready)) | (~node2(s99, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s17)))),
% 1.95/2.15 inference(transitivity,[status(thm)],[21365, 21363])).
% 1.95/2.15 tff(21367,plain,
% 1.95/2.15 ((~![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(s99, c_ready)) | (~node2(s99, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s99)))),
% 1.95/2.15 inference(quant_inst,[status(thm)],[])).
% 1.95/2.15 tff(21368,plain,
% 1.95/2.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s17, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s17))),
% 1.95/2.15 inference(modus_ponens,[status(thm)],[21367, 21366])).
% 1.95/2.15 tff(21369,plain,
% 1.95/2.15 ($false),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[21368, 3175, 21362, 10756, 9290, 21334])).
% 1.95/2.15 tff(21370,plain,(always3(s14) | (~m_main_v_request(s99)) | trans(s99, s65) | trans(s99, s51) | trans(s99, s74) | trans(s99, s48)), inference(lemma,lemma(discharge,[]))).
% 1.95/2.15 tff(21371,plain,
% 1.95/2.15 (always3(s14)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[21370, 20567, 20676, 20671, 20665, 20663])).
% 1.95/2.15 tff(21372,plain,
% 1.95/2.15 (~m_main_v_state(s14, c_busy)),
% 1.95/2.15 inference(unit_resolution,[status(thm)],[4476, 3154, 21371])).
% 1.95/2.15 tff(21373,assumption,(node2(s99, s14)), introduced(assumption)).
% 1.95/2.15 tff(21374,assumption,(~m_main_v_state(s14, c_busy)), introduced(assumption)).
% 1.95/2.15 tff(21375,plain,
% 1.95/2.15 (((~![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(s14, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s14)))),
% 1.99/2.15 inference(rewrite,[status(thm)],[])).
% 1.99/2.15 tff(21376,plain,
% 1.99/2.15 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s14, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s14)))),
% 1.99/2.15 inference(rewrite,[status(thm)],[])).
% 1.99/2.15 tff(21377,plain,
% 1.99/2.15 (((~![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(s99, c_ready)) | (~node2(s99, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s14))))),
% 1.99/2.15 inference(monotonicity,[status(thm)],[21376])).
% 1.99/2.15 tff(21378,plain,
% 1.99/2.15 (((~![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(s99, c_ready)) | (~node2(s99, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s14)))),
% 1.99/2.15 inference(transitivity,[status(thm)],[21377, 21375])).
% 1.99/2.15 tff(21379,plain,
% 1.99/2.15 ((~![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(s99, c_ready)) | (~node2(s99, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s99)))),
% 1.99/2.15 inference(quant_inst,[status(thm)],[])).
% 1.99/2.15 tff(21380,plain,
% 1.99/2.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s14, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s14))),
% 1.99/2.15 inference(modus_ponens,[status(thm)],[21379, 21378])).
% 1.99/2.15 tff(21381,plain,
% 1.99/2.15 ($false),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[21380, 3175, 21374, 10756, 9290, 21373])).
% 1.99/2.15 tff(21382,plain,((~node2(s99, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.99/2.15 tff(21383,plain,
% 1.99/2.15 (~node2(s99, s14)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[21382, 21372, 20567])).
% 1.99/2.15 tff(21384,plain,
% 1.99/2.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s14)) | node2(s99, s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s14)) | node2(s99, s14))),
% 1.99/2.15 inference(rewrite,[status(thm)],[])).
% 1.99/2.15 tff(21385,plain,
% 1.99/2.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s14)) | node2(s99, s14))),
% 1.99/2.15 inference(quant_inst,[status(thm)],[])).
% 1.99/2.15 tff(21386,plain,
% 1.99/2.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s14)) | node2(s99, s14)),
% 1.99/2.15 inference(modus_ponens,[status(thm)],[21385, 21384])).
% 1.99/2.15 tff(21387,plain,
% 1.99/2.15 (~trans(s99, s14)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[21386, 7, 21383])).
% 1.99/2.15 tff(21388,plain,
% 1.99/2.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s6)) | node2(s99, s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s6)) | node2(s99, s6))),
% 1.99/2.15 inference(rewrite,[status(thm)],[])).
% 1.99/2.15 tff(21389,plain,
% 1.99/2.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s6)) | node2(s99, s6))),
% 1.99/2.15 inference(quant_inst,[status(thm)],[])).
% 1.99/2.15 tff(21390,plain,
% 1.99/2.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s6)) | node2(s99, s6)),
% 1.99/2.15 inference(modus_ponens,[status(thm)],[21389, 21388])).
% 1.99/2.15 tff(21391,plain,
% 1.99/2.15 (node2(s99, s6)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[21390, 5487, 7])).
% 1.99/2.15 tff(21392,plain,
% 1.99/2.15 (((~![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(s6, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s6)))),
% 1.99/2.15 inference(rewrite,[status(thm)],[])).
% 1.99/2.15 tff(21393,plain,
% 1.99/2.15 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s6, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s6)))),
% 1.99/2.15 inference(rewrite,[status(thm)],[])).
% 1.99/2.15 tff(21394,plain,
% 1.99/2.15 (((~![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(s99, c_ready)) | (~node2(s99, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s6))))),
% 1.99/2.15 inference(monotonicity,[status(thm)],[21393])).
% 1.99/2.15 tff(21395,plain,
% 1.99/2.15 (((~![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(s99, c_ready)) | (~node2(s99, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s6)))),
% 1.99/2.15 inference(transitivity,[status(thm)],[21394, 21392])).
% 1.99/2.15 tff(21396,plain,
% 1.99/2.15 ((~![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(s99, c_ready)) | (~node2(s99, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s99)))),
% 1.99/2.15 inference(quant_inst,[status(thm)],[])).
% 1.99/2.15 tff(21397,plain,
% 1.99/2.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s6, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s6))),
% 1.99/2.15 inference(modus_ponens,[status(thm)],[21396, 21395])).
% 1.99/2.15 tff(21398,plain,
% 1.99/2.15 ($false),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[21397, 3175, 20495, 10756, 9290, 21391])).
% 1.99/2.15 tff(21399,plain,((~trans(s99, s6)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.99/2.15 tff(21400,plain,
% 1.99/2.15 (~trans(s99, s6)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[21399, 20567])).
% 1.99/2.15 tff(21401,plain,
% 1.99/2.15 (~always3(s8)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[2014, 6122])).
% 1.99/2.15 tff(21402,plain,
% 1.99/2.15 (~always3(s7)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[2026, 21401])).
% 1.99/2.15 tff(21403,plain,
% 1.99/2.15 (~always3(s6)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[2038, 21402])).
% 1.99/2.15 tff(21404,plain,
% 1.99/2.15 (~always3(s5)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[2050, 21403])).
% 1.99/2.15 tff(21405,plain,
% 1.99/2.15 (~trans(s99, s5)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[6163, 21404])).
% 1.99/2.15 tff(21406,plain,
% 1.99/2.15 (~trans(s99, s9)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[6131, 6122])).
% 1.99/2.15 tff(21407,plain,
% 1.99/2.15 (~trans(s99, s7)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[6396, 21402])).
% 1.99/2.15 tff(21408,plain,
% 1.99/2.15 (always3(s14)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[21370, 9290, 9506, 9507, 10903, 8228])).
% 1.99/2.15 tff(21409,plain,
% 1.99/2.15 (always3(s15)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[1942, 21408])).
% 1.99/2.15 tff(21410,plain,
% 1.99/2.15 (always3(s16)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[438, 21409])).
% 1.99/2.15 tff(21411,plain,
% 1.99/2.15 (always3(s17)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[426, 21410])).
% 1.99/2.15 tff(21412,plain,
% 1.99/2.15 (~m_main_v_state(s17, c_busy)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[4262, 3154, 21411])).
% 1.99/2.15 tff(21413,assumption,(node2(s99, s17)), introduced(assumption)).
% 1.99/2.15 tff(21414,assumption,(~m_main_v_state(s17, c_busy)), introduced(assumption)).
% 1.99/2.15 tff(21415,plain,
% 1.99/2.15 ($false),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[21368, 3175, 21414, 10756, 9290, 21413])).
% 1.99/2.15 tff(21416,plain,((~node2(s99, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.99/2.15 tff(21417,plain,
% 1.99/2.15 (~node2(s99, s17)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[21416, 21412, 9290])).
% 1.99/2.15 tff(21418,plain,
% 1.99/2.15 (~trans(s99, s17)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[21333, 7, 21417])).
% 1.99/2.15 tff(21419,plain,
% 1.99/2.15 (~always3(s4)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[2062, 21404])).
% 1.99/2.15 tff(21420,plain,
% 1.99/2.15 (~always3(s3)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[2074, 21419])).
% 1.99/2.15 tff(21421,plain,
% 1.99/2.15 (~always3(s2)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[2086, 21420])).
% 1.99/2.15 tff(21422,plain,
% 1.99/2.15 (~trans(s99, s2)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[6032, 21421])).
% 1.99/2.15 tff(21423,plain,
% 1.99/2.15 (~always3(s1)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[2098, 21421])).
% 1.99/2.15 tff(21424,plain,
% 1.99/2.15 (~trans(s99, s1)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[6407, 21423])).
% 1.99/2.15 tff(21425,plain,
% 1.99/2.15 ($false),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[13216, 21424, 21422, 21266, 20917, 21265, 9290, 9506, 9507, 8228, 21262, 10903, 21258, 21261, 21260, 21243, 21228, 21213, 21198, 21183, 21167, 21168, 21150, 21152, 21135, 21118, 21120, 21119, 21103, 21086, 21088, 21087, 21071, 21056, 21041, 21026, 21010, 21011, 20995, 20980, 20964, 20965, 20949, 20932, 20934, 20933, 20913, 21263, 20916, 20915, 20914, 20898, 20882, 20883, 20867, 20852, 20839, 20826, 20812, 20799, 20786, 20772, 20771, 21328, 21315, 20737, 20724, 20710, 21418, 8276, 8424, 8338, 20705, 8384, 20703, 21407, 20701, 21406, 20699, 20698, 8357, 21405, 8356, 21264])).
% 1.99/2.15 tff(21426,plain,(always3(s9) | (~m_main_v_request(s99)) | trans(s99, s65) | trans(s99, s51) | trans(s99, s48) | trans(s99, s74) | trans(s99, s4) | trans(s99, s6) | trans(s99, s12) | trans(s99, s14) | trans(s99, s3) | trans(s99, s0)), inference(lemma,lemma(discharge,[]))).
% 1.99/2.15 tff(21427,plain,
% 1.99/2.15 (always3(s9)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[21426, 8384, 9506, 9507, 8228, 10903, 8276, 8424, 8338, 9290, 8357, 8356])).
% 1.99/2.15 tff(21428,plain,
% 1.99/2.15 (~m_main_v_state(s9, c_busy)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[6539, 3154, 21427])).
% 1.99/2.15 tff(21429,plain,
% 1.99/2.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s7)) | node2(s99, s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s7)) | node2(s99, s7))),
% 1.99/2.15 inference(rewrite,[status(thm)],[])).
% 1.99/2.15 tff(21430,plain,
% 1.99/2.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s7)) | node2(s99, s7))),
% 1.99/2.15 inference(quant_inst,[status(thm)],[])).
% 1.99/2.15 tff(21431,plain,
% 1.99/2.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s7)) | node2(s99, s7)),
% 1.99/2.15 inference(modus_ponens,[status(thm)],[21430, 21429])).
% 1.99/2.15 tff(21432,plain,
% 1.99/2.15 (node2(s99, s7)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[21431, 5333, 7])).
% 1.99/2.15 tff(21433,plain,
% 1.99/2.15 (~m_main_v_state(s7, c_busy)),
% 1.99/2.15 inference(unit_resolution,[status(thm)],[6610, 3154, 19825])).
% 1.99/2.15 tff(21434,plain,
% 1.99/2.15 (((~![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(s7, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s7)))),
% 1.99/2.15 inference(rewrite,[status(thm)],[])).
% 1.99/2.15 tff(21435,plain,
% 1.99/2.15 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s7, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s7)))),
% 1.99/2.15 inference(rewrite,[status(thm)],[])).
% 1.99/2.16 tff(21436,plain,
% 1.99/2.16 (((~![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(s99, c_ready)) | (~node2(s99, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s7))))),
% 1.99/2.16 inference(monotonicity,[status(thm)],[21435])).
% 1.99/2.16 tff(21437,plain,
% 1.99/2.16 (((~![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(s99, c_ready)) | (~node2(s99, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s7)))),
% 1.99/2.16 inference(transitivity,[status(thm)],[21436, 21434])).
% 1.99/2.16 tff(21438,plain,
% 1.99/2.16 ((~![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(s99, c_ready)) | (~node2(s99, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s99)))),
% 1.99/2.16 inference(quant_inst,[status(thm)],[])).
% 1.99/2.16 tff(21439,plain,
% 1.99/2.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s7, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s7))),
% 1.99/2.16 inference(modus_ponens,[status(thm)],[21438, 21437])).
% 1.99/2.16 tff(21440,plain,
% 1.99/2.16 ($false),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[21439, 3175, 21433, 10756, 9290, 21432])).
% 1.99/2.16 tff(21441,plain,((~trans(s99, s7)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.99/2.16 tff(21442,plain,
% 1.99/2.16 (~trans(s99, s7)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[21441, 9290])).
% 1.99/2.16 tff(21443,plain,
% 1.99/2.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s5)) | node2(s99, s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s5)) | node2(s99, s5))),
% 1.99/2.16 inference(rewrite,[status(thm)],[])).
% 1.99/2.16 tff(21444,plain,
% 1.99/2.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s5)) | node2(s99, s5))),
% 1.99/2.16 inference(quant_inst,[status(thm)],[])).
% 1.99/2.16 tff(21445,plain,
% 1.99/2.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s5)) | node2(s99, s5)),
% 1.99/2.16 inference(modus_ponens,[status(thm)],[21444, 21443])).
% 1.99/2.16 tff(21446,plain,
% 1.99/2.16 (node2(s99, s5)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[21445, 4858, 7])).
% 1.99/2.16 tff(21447,plain,
% 1.99/2.16 (always3(s5)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[6163, 4858])).
% 1.99/2.16 tff(21448,plain,
% 1.99/2.16 (~m_main_v_state(s5, c_busy)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[6671, 3154, 21447])).
% 1.99/2.16 tff(21449,plain,
% 1.99/2.16 (((~![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(s5, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s5)))),
% 1.99/2.16 inference(rewrite,[status(thm)],[])).
% 1.99/2.16 tff(21450,plain,
% 1.99/2.16 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s5, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s5)))),
% 1.99/2.16 inference(rewrite,[status(thm)],[])).
% 1.99/2.16 tff(21451,plain,
% 1.99/2.16 (((~![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(s99, c_ready)) | (~node2(s99, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s5))))),
% 1.99/2.16 inference(monotonicity,[status(thm)],[21450])).
% 1.99/2.16 tff(21452,plain,
% 1.99/2.16 (((~![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(s99, c_ready)) | (~node2(s99, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s5)))),
% 1.99/2.16 inference(transitivity,[status(thm)],[21451, 21449])).
% 1.99/2.16 tff(21453,plain,
% 1.99/2.16 ((~![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(s99, c_ready)) | (~node2(s99, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s99)))),
% 1.99/2.16 inference(quant_inst,[status(thm)],[])).
% 1.99/2.16 tff(21454,plain,
% 1.99/2.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s5, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s5))),
% 1.99/2.16 inference(modus_ponens,[status(thm)],[21453, 21452])).
% 1.99/2.16 tff(21455,plain,
% 1.99/2.16 ($false),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[21454, 3175, 21448, 10756, 9290, 21446])).
% 1.99/2.16 tff(21456,plain,((~trans(s99, s5)) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.99/2.16 tff(21457,plain,
% 1.99/2.16 (~trans(s99, s5)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[21456, 9290])).
% 1.99/2.16 tff(21458,plain,
% 1.99/2.16 (trans(s99, s9)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[13216, 8384, 21266, 20917, 21265, 9290, 9506, 9507, 8228, 21262, 10903, 21258, 21261, 21260, 21243, 21228, 21213, 21198, 21183, 21167, 21168, 21150, 21152, 21135, 21118, 21120, 21119, 21103, 21086, 21088, 21087, 21071, 21056, 21041, 21026, 21010, 21011, 20995, 20980, 20964, 20965, 20949, 20932, 20934, 20933, 20913, 21263, 20916, 20915, 20914, 20898, 20882, 20883, 20867, 20852, 20839, 20826, 20812, 20799, 20786, 20772, 20771, 21328, 21315, 20737, 20724, 20710, 21418, 21457, 21442, 8276, 20705, 8424, 20703, 8275, 20701, 8420, 20699, 20698, 8357, 8338, 8356, 21264])).
% 1.99/2.16 tff(21459,plain,
% 1.99/2.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s9)) | node2(s99, s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s9)) | node2(s99, s9))),
% 1.99/2.16 inference(rewrite,[status(thm)],[])).
% 1.99/2.16 tff(21460,plain,
% 1.99/2.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s9)) | node2(s99, s9))),
% 1.99/2.16 inference(quant_inst,[status(thm)],[])).
% 1.99/2.16 tff(21461,plain,
% 1.99/2.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s9)) | node2(s99, s9)),
% 1.99/2.16 inference(modus_ponens,[status(thm)],[21460, 21459])).
% 1.99/2.16 tff(21462,plain,
% 1.99/2.16 (node2(s99, s9)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[21461, 21458, 7])).
% 1.99/2.16 tff(21463,assumption,(node2(s99, s9)), introduced(assumption)).
% 1.99/2.16 tff(21464,assumption,(~m_main_v_state(s9, c_busy)), introduced(assumption)).
% 1.99/2.16 tff(21465,plain,
% 1.99/2.16 (((~![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(s9, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s9)))),
% 1.99/2.16 inference(rewrite,[status(thm)],[])).
% 1.99/2.16 tff(21466,plain,
% 1.99/2.16 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s9, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s9)))),
% 1.99/2.16 inference(rewrite,[status(thm)],[])).
% 1.99/2.16 tff(21467,plain,
% 1.99/2.16 (((~![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(s99, c_ready)) | (~node2(s99, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s9))))),
% 1.99/2.16 inference(monotonicity,[status(thm)],[21466])).
% 1.99/2.16 tff(21468,plain,
% 1.99/2.16 (((~![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(s99, c_ready)) | (~node2(s99, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s9)))),
% 1.99/2.16 inference(transitivity,[status(thm)],[21467, 21465])).
% 1.99/2.16 tff(21469,plain,
% 1.99/2.16 ((~![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(s99, c_ready)) | (~node2(s99, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s99)))),
% 1.99/2.16 inference(quant_inst,[status(thm)],[])).
% 1.99/2.16 tff(21470,plain,
% 1.99/2.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s9, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s9))),
% 1.99/2.16 inference(modus_ponens,[status(thm)],[21469, 21468])).
% 1.99/2.16 tff(21471,plain,
% 1.99/2.16 ($false),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[21470, 3175, 21464, 10756, 9290, 21463])).
% 1.99/2.16 tff(21472,plain,((~node2(s99, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s99))), inference(lemma,lemma(discharge,[]))).
% 1.99/2.16 tff(21473,plain,
% 1.99/2.16 ($false),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[21472, 21462, 21428, 9290])).
% 1.99/2.16 tff(21474,plain,(trans(s99, s14) | (~m_main_v_request(s99)) | trans(s99, s65) | trans(s99, s51) | trans(s99, s48) | trans(s99, s74) | trans(s99, s4) | trans(s99, s6) | trans(s99, s2) | trans(s99, s1) | trans(s99, s3) | trans(s99, s12) | trans(s99, s0)), inference(lemma,lemma(discharge,[]))).
% 1.99/2.16 tff(21475,plain,
% 1.99/2.16 (trans(s99, s4)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[21474, 21400, 20676, 20671, 20663, 20665, 21387, 20649, 20634, 20621, 20608, 20567, 20580])).
% 1.99/2.16 tff(21476,plain,
% 1.99/2.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s4)) | node2(s99, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s4)) | node2(s99, s4))),
% 1.99/2.16 inference(rewrite,[status(thm)],[])).
% 1.99/2.16 tff(21477,plain,
% 1.99/2.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s4)) | node2(s99, s4))),
% 1.99/2.16 inference(quant_inst,[status(thm)],[])).
% 1.99/2.16 tff(21478,plain,
% 1.99/2.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s4)) | node2(s99, s4)),
% 1.99/2.16 inference(modus_ponens,[status(thm)],[21477, 21476])).
% 1.99/2.16 tff(21479,plain,
% 1.99/2.16 (node2(s99, s4)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[21478, 21475, 7])).
% 1.99/2.16 tff(21480,plain,
% 1.99/2.16 (always3(s4)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[6043, 21475])).
% 1.99/2.16 tff(21481,plain,
% 1.99/2.16 (~m_main_v_state(s4, c_busy)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[6694, 3154, 21480])).
% 1.99/2.16 tff(21482,plain,
% 1.99/2.16 (((~![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(s4, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, 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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s4)))),
% 1.99/2.16 inference(rewrite,[status(thm)],[])).
% 1.99/2.16 tff(21483,plain,
% 1.99/2.16 (((~m_main_v_state(s99, c_ready)) | (~node2(s99, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s99))) <=> (m_main_v_state(s4, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s4)))),
% 1.99/2.16 inference(rewrite,[status(thm)],[])).
% 1.99/2.16 tff(21484,plain,
% 1.99/2.16 (((~![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(s99, c_ready)) | (~node2(s99, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s4))))),
% 1.99/2.16 inference(monotonicity,[status(thm)],[21483])).
% 1.99/2.16 tff(21485,plain,
% 1.99/2.16 (((~![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(s99, c_ready)) | (~node2(s99, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_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(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s4)))),
% 1.99/2.16 inference(transitivity,[status(thm)],[21484, 21482])).
% 1.99/2.16 tff(21486,plain,
% 1.99/2.16 ((~![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(s99, c_ready)) | (~node2(s99, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s99)))),
% 1.99/2.16 inference(quant_inst,[status(thm)],[])).
% 1.99/2.16 tff(21487,plain,
% 1.99/2.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | m_main_v_state(s4, c_busy) | (~m_main_v_state(s99, c_ready)) | (~m_main_v_request(s99)) | (~node2(s99, s4))),
% 1.99/2.16 inference(modus_ponens,[status(thm)],[21486, 21485])).
% 1.99/2.16 tff(21488,plain,
% 1.99/2.16 ($false),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[21487, 3175, 21481, 10756, 20567, 21479])).
% 1.99/2.16 tff(21489,plain,(m_main_v_state(s65, c_busy)), inference(lemma,lemma(discharge,[]))).
% 1.99/2.16 tff(21490,plain,
% 1.99/2.16 (~always3(s65)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[13557, 3154, 21489])).
% 1.99/2.16 tff(21491,plain,
% 1.99/2.16 (~always3(s64)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1378, 21490])).
% 1.99/2.16 tff(21492,plain,
% 1.99/2.16 (~always3(s63)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1407, 21491])).
% 1.99/2.16 tff(21493,plain,
% 1.99/2.16 (~always3(s62)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1431, 21492])).
% 1.99/2.16 tff(21494,plain,
% 1.99/2.16 (~always3(s61)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1443, 21493])).
% 1.99/2.16 tff(21495,plain,
% 1.99/2.16 (~always3(s60)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1455, 21494])).
% 1.99/2.16 tff(21496,plain,
% 1.99/2.16 (~always3(s59)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1467, 21495])).
% 1.99/2.16 tff(21497,plain,
% 1.99/2.16 (~always3(s58)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1479, 21496])).
% 1.99/2.16 tff(21498,plain,
% 1.99/2.16 (~always3(s57)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1491, 21497])).
% 1.99/2.16 tff(21499,plain,
% 1.99/2.16 (~always3(s56)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1503, 21498])).
% 1.99/2.16 tff(21500,plain,
% 1.99/2.16 (~always3(s55)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1515, 21499])).
% 1.99/2.16 tff(21501,plain,
% 1.99/2.16 (~always3(s54)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1527, 21500])).
% 1.99/2.16 tff(21502,plain,
% 1.99/2.16 (~always3(s53)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1539, 21501])).
% 1.99/2.16 tff(21503,plain,
% 1.99/2.16 (~always3(s52)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1551, 21502])).
% 1.99/2.16 tff(21504,plain,
% 1.99/2.16 (~always3(s51)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1563, 21503])).
% 1.99/2.16 tff(21505,plain,
% 1.99/2.16 (~always3(s50)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1575, 21504])).
% 1.99/2.16 tff(21506,plain,
% 1.99/2.16 (~always3(s49)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1587, 21505])).
% 1.99/2.16 tff(21507,plain,
% 1.99/2.16 (~always3(s48)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[1599, 21506])).
% 1.99/2.16 tff(21508,plain,
% 1.99/2.16 (~always3(s47)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[54, 21507])).
% 1.99/2.16 tff(21509,plain,
% 1.99/2.16 (~always3(s46)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[66, 21508])).
% 1.99/2.16 tff(21510,plain,
% 1.99/2.16 (~always3(s45)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[78, 21509])).
% 1.99/2.16 tff(21511,plain,
% 1.99/2.16 (~always3(s44)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[90, 21510])).
% 1.99/2.16 tff(21512,plain,
% 1.99/2.16 (~always3(s43)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[102, 21511])).
% 1.99/2.16 tff(21513,plain,
% 1.99/2.16 (~always3(s42)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[114, 21512])).
% 1.99/2.16 tff(21514,plain,
% 1.99/2.16 (~always3(s41)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[126, 21513])).
% 1.99/2.16 tff(21515,plain,
% 1.99/2.16 (~always3(s40)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[138, 21514])).
% 1.99/2.16 tff(21516,plain,
% 1.99/2.16 (~always3(s39)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[150, 21515])).
% 1.99/2.16 tff(21517,plain,
% 1.99/2.16 (~always3(s38)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[162, 21516])).
% 1.99/2.16 tff(21518,plain,
% 1.99/2.16 (~always3(s37)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[174, 21517])).
% 1.99/2.16 tff(21519,plain,
% 1.99/2.16 (~always3(s36)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[186, 21518])).
% 1.99/2.16 tff(21520,plain,
% 1.99/2.16 (~always3(s35)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[198, 21519])).
% 1.99/2.16 tff(21521,plain,
% 1.99/2.16 (~always3(s34)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[210, 21520])).
% 1.99/2.16 tff(21522,plain,
% 1.99/2.16 (~always3(s33)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[222, 21521])).
% 1.99/2.16 tff(21523,plain,
% 1.99/2.16 (~always3(s32)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[234, 21522])).
% 1.99/2.16 tff(21524,plain,
% 1.99/2.16 (~always3(s31)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[246, 21523])).
% 1.99/2.16 tff(21525,plain,
% 1.99/2.16 (~always3(s30)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[258, 21524])).
% 1.99/2.16 tff(21526,plain,
% 1.99/2.16 (~always3(s29)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[270, 21525])).
% 1.99/2.16 tff(21527,plain,
% 1.99/2.16 (~always3(s28)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[282, 21526])).
% 1.99/2.16 tff(21528,plain,
% 1.99/2.16 (~always3(s27)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[294, 21527])).
% 1.99/2.16 tff(21529,plain,
% 1.99/2.16 (~always3(s26)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[306, 21528])).
% 1.99/2.16 tff(21530,plain,
% 1.99/2.16 (~always3(s25)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[318, 21529])).
% 1.99/2.16 tff(21531,plain,
% 1.99/2.16 (~always3(s24)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[330, 21530])).
% 1.99/2.16 tff(21532,plain,
% 1.99/2.16 (~always3(s23)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[342, 21531])).
% 1.99/2.16 tff(21533,plain,
% 1.99/2.16 (~always3(s22)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[354, 21532])).
% 1.99/2.16 tff(21534,plain,
% 1.99/2.16 (~always3(s21)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[366, 21533])).
% 1.99/2.16 tff(21535,plain,
% 1.99/2.16 (~always3(s20)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[378, 21534])).
% 1.99/2.16 tff(21536,plain,
% 1.99/2.16 (~always3(s19)),
% 1.99/2.16 inference(unit_resolution,[status(thm)],[390, 21535])).
% 1.99/2.16 tff(21537,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[402, 21536])).
% 1.99/2.16 tff(21538,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[414, 21537])).
% 1.99/2.16 tff(21539,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[426, 21538])).
% 1.99/2.16 tff(21540,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[438, 21539])).
% 1.99/2.16 tff(21541,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[5943, 21540])).
% 1.99/2.16 tff(21542,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[5953, 21507])).
% 1.99/2.16 tff(21543,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[5964, 21516])).
% 1.99/2.16 tff(21544,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[5975, 21514])).
% 1.99/2.16 tff(21545,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[5986, 21536])).
% 1.99/2.16 tff(21546,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[5997, 21511])).
% 1.99/2.16 tff(21547,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[6008, 21517])).
% 1.99/2.16 tff(21548,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[1942, 21540])).
% 1.99/2.16 tff(21549,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[1954, 21548])).
% 1.99/2.16 tff(21550,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[1966, 21549])).
% 1.99/2.16 tff(21551,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[1978, 21550])).
% 1.99/2.16 tff(21552,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[1990, 21551])).
% 1.99/2.16 tff(21553,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[2002, 21552])).
% 1.99/2.16 tff(21554,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[2014, 21553])).
% 1.99/2.16 tff(21555,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[2026, 21554])).
% 1.99/2.16 tff(21556,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[2038, 21555])).
% 1.99/2.16 tff(21557,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[2050, 21556])).
% 1.99/2.16 tff(21558,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[2062, 21557])).
% 1.99/2.16 tff(21559,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[2074, 21558])).
% 1.99/2.16 tff(21560,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[2086, 21559])).
% 1.99/2.16 tff(21561,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[6032, 21560])).
% 1.99/2.16 tff(21562,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[6043, 21558])).
% 1.99/2.16 tff(21563,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[6054, 21518])).
% 1.99/2.16 tff(21564,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[6065, 21549])).
% 1.99/2.16 tff(21565,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[6076, 21513])).
% 1.99/2.16 tff(21566,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[6087, 21508])).
% 1.99/2.16 tff(21567,plain,
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[6098, 21530])).
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% 1.99/2.16 inference(unit_resolution,[status(thm)],[6120, 21527])).
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% 1.99/2.17 inference(unit_resolution,[status(thm)],[2098, 21560])).
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% 1.99/2.17 tff(21603,plain,
% 1.99/2.17 (~always3(s0)),
% 1.99/2.17 inference(unit_resolution,[status(thm)],[2114, 21601])).
% 1.99/2.17 tff(21604,plain,
% 1.99/2.17 (~trans(s99, s0)),
% 1.99/2.17 inference(unit_resolution,[status(thm)],[6308, 21603])).
% 1.99/2.17 tff(21605,plain,
% 1.99/2.17 ($false),
% 1.99/2.17 inference(unit_resolution,[status(thm)],[16627, 21604, 21602, 21490, 21600, 21599, 21598, 21597, 21596, 21595, 21594, 21593, 21592, 21591, 21590, 21589, 21588, 21587, 21586, 21585, 21584, 21583, 21582, 21581, 21580, 21579, 21578, 21577, 21576, 21575, 21574, 21573, 21572, 21571, 21570, 21569, 21568, 21567, 21566, 21565, 21564, 21563, 21562, 21561, 21547, 21546, 21545, 21544, 21543, 21542, 21541])).
% 1.99/2.17 % SZS output end Proof
% 1.99/2.17 % E exiting
%------------------------------------------------------------------------------